FM 4-111 Coast Artillery Field Manual, Antiaircraft Artillery, Position Finding and Control, Antiaircraft Searchlights 1940

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United States. War Department

Document text

FM 4-111 



WAR DEPARTMENT 



COAST ARTILLERY 
FIELD MANUAL 

ANTIAIRCRAFT ARTILLERY 

POSITION FINDING AND CONTROL 
ANTIAIRCRAFT SEARCHLIGHTS 



FM 4-111 



COAST ARTILLERY 
FIELD MANUAL 

ANTIAIRCRAFT ARTILLERY 

POSITION FINDING AND CONTROL 
ANTIAIRCRAFT SEARCHLIGHTS 



Prepared under direction of the 
Chief of Coast Artillery 




UNITED STATES 
GOVERNMENT PRINTING OFFICE 
WASHINGTON : 1940 



For sale by the Superintendent of Documents, Washington, D. C. 
Price 10 cent« 



WAR DEPARTMENT, 
Washington, July 6, 1940. 
FM 4-111, Coast Artillery Field Manual, Antiaircraft 
Artillery, Position Finding and Control, Antiaircraft Search- 
lights, is published for the information and guidance of all 
concerned. 

[A. G. 062.11 (5-3^0).] 

By order of the Secretary of War: 

G. C. MARSHALL, 

Chief of Staff. 

Official : 

E. S. ADAMS, 

Major General, 

The Adjutant General. 



ii 



TABLE OP CONTENTS 



Paragraph Page 



Chapter 1. General 1-5 1 

Chapter 2. Sound Location 6-9 3 

Chapter 3. Acoustic Correctors. 

Section I. General 10 9 

II. Acoustic corrector for M2 sound 

locator 11-18 10 

III. Acoustic correctors Ml and M2 19-22 29 

Chapter 4. Searchlights 23-29 36 

Chapter 5. Searchlight Control 30-34 43 

Chapter 6. Control Station 35-40 48 

Chapter 7. Binaural Training Instruments 41-43 53 

Index 57 



III 



FM 4-111 



COAST ARTILLERY FIELD MANUAL 

ANTIAIRCRAFT ARTILLERY 

POSITION FINDING AND CONTROL, ANTIAIRCRAFT 
SEARCHLIGHTS 

CHAPTER 1 

GENERAL 

■ 1. Scope. — This manual treats of the position finding, con- 
trol, and illumination phenomena pertaining to antiaircraft 
searchlights. A knowledge of the basic principles described 
in FM 4-110 and FM 4-112 will be helpful in understanding 
the problem of locating and illuminating aerial targets. Per- 
tinent definitions and symbols should be studied, and a thor- 
ough understanding of the picture in space of the various 
elements of data should be acquired. The training of anti- 
aircraft artillery searchlight units is covered in FM 4-115. 

■ 2. Illumination Problem. — From the description of fire 
control instruments contained in FM 4-110 it is evident that 
the success of the methods employed depends upon the actual 
tracking of the target by the various instruments. During 
the hours of daylight, under normal atmospheric conditions, 
the target can usually be seen and tracked. This, however, 
is impossible during the hours of darkness unless the target 
is illuminated in some manner. The illumination must be 
maintained during all the firing, if continuous pointed fire 
is to be used. Of all the methods of illumination, search- 
lights have been found to give the most satisfactory results. 

■ 3. Location Problem. — A searchlight beam swinging aim- 
lessly in the sky would illuminate the target only by chance. 
Therefore, before the searchlight can be trained on the 
target, the target must be located. The problem is to 
determine the azimuth and angular height of the position 
of the target. At the present time the only practical field 



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COAST ARTILLERY FIELD MANUAL 



method of locating the target is by sound. Various methods 
of utilizing sound have been tried, the best results being 
obtained by a horn collector with its acoustic tract leading 
directly to the listener's ear. 

■ 4. Control Problem. — The ability of the searchlight to 
pick up a target and illuminate it continuously depends upon 
a number of factors all of which tend to decrease the visi- 
bility. Research indicates that the visibility of the target 
increases as the operator moves away from the searchlight. 
Approximately 90 percent of the advantage which can be 
gained is obtained at a distance of about 50 feet. Manual 
control of the searchlight is impractical at this distance, 
hence electrical control is employed. The control problem 
is that of pointing the searchlight in the direction indicated 
by the sound locator, the operator teing located 50 feet or 
more from the light source. 

■ 5. Searching. — Even with the latest equipment and well- 
trained listeners, the target seldom will be located exactly 
at the azimuth and angular height indicated by the sound 
locator. Because of the effect of atmospheric conditions on 
the speed and direction of sound waves, it will be necessary 
to search around the azimuth and angular height as com- 
puted by the sound locator. However, the total effect of 
the above-mentioned variables seldom exceeds 5° in azimuth 
or angular height. This is well within the limits of search- 
ing. So far no practical field method has been found for 
determining the value of the atmospheric effects on the 
sound waves. For this reason it is impractical to apply 
corrections for these atmospheric effects prior to tracking 
the airplane by sound. 



2 



CHAPTER 2 



SOUND LOCATION 

■ 6. Theory of Sound Location. — a. (1) All persons possess- 
ing normal hearing with both ears have a faculty known as 
the "binaural sense" which enables one to locate the approxi- 
mate direction of a sound source. When the sound source is 
directly in front of a person, the sound waves travel the 
same distance in reaching both ears. (See fig. 1 in which 
Rl equals Rr.) If, however, the head is turned to one side, 
the sound waves will travel farther to reach one ear than the 
other. (See fig. 1 in which Rl does not equal Rr.) Sound 
travels through the air at a speed of about 1,100 feet per 
second. Therefore, when the head is turned to one side, 
the ear closest to the sound source receives the sound vibra- 
tion slightly before the other ear. The binaural sense enables 
the listener to distinguish this brief phase difference between 
the reception of the sound by each ear. The listener turns 
his head until the phase difference becomes imperceptible. 
At this point the head will be pointed toward the sound 
source. 

(2) Normally the head is erect and the ears are in a hori- 
zontal plane resulting in binaural sense in azimuth. How- 
ever, if the ears are placed in the vertical plane, the eleva- 
tion of the sound source can be determined just as readily. 
The unaided ears can usually determine the direction of a 
sound source within 10°. 

b. The accuracy of the binaural sense is proportional to 
the distance between the ears. This can be seen from figure 
1. If the base line between the ears is made longer, the 
difference between ranges Rl and Rr will become greater, 
and the corresponding phase difference at which the sound 
strikes each ear will become greater. Since the accuracy of 



3 



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COAST ARTILLERY FIELD MANUAL 



sound location is dependent upon the minimum phase differ- 
ence that the ears can detect, extending ^he base line of the 
ears in effect reduces the minimum phase difference that the 
ears are able to recognize. The base line between the ears 




Figure 1. — Binaural sense. 



can readily be increased by the use of a pair of horns mounted 
some distance apart and connected to the ears by tubes. 

c. The horns serve another purpose. Sound is essentially 
a vibration transmitted through some medium, generally air. 
The sensation of sound usually is experienced by a person 
when the vibrations are felt by the ear. The stronger the 



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ANTIAIRCRAFT SEARCHLIGHTS 



6-7 



vibration, the greater will be the sensation experienced by 
the ear. The practice of cupping the hand over the ear in 
order to hear faint sounds is well known. Horns will do the 
same as the cupped hands except that they collect the vibra- 
tions from a greater area than the hands. The intensity of 
the sound is thus increased, and the listener is able to dis- 
tinguish sounds which he would be unable to hear with the 
unaided ear. 

d. To summarize, all persons with normal ears possess 
binaural sense. A listener possesses binaural sense in the 
vertical plane if his ears are located in the vertical plane. 
The accuracy of the binaural sense is increased and the in- 
tensity of the sound magnified by the use of horns separated 
by some distance. 

■ 7. Sound Locator DEsiGN.^Sound locators are designed to 
aid the listener's binaural sense. Basically they are all alike, 
consisting of two pairs of horns mounted so that the base lines 
of the pairs are perpendicular to each other, and one base line 
is horizontal. This arrangement allows one pair of horns to 
determine the location of the target in azimuth and the other 
in angular height. The base lines of the horns are made 
perpendicular by the design of the instrument. One base line 
is made horizontal by the use of leveling jacks or screws. 

o. To locate target. — (1) Sound locators now have either 3 
or 4 horns. The 4-horn type uses one pair for azimuth deter- 
mination and the other pair for angular height. In the 3- 
horn type 1 horn is used by both listeners by dividing the 
acoustic tract at the exit of the horn. It will be seen that 
basically the 3-horn type functions the same as the 4-horn 
type. 

(2) The spacing of the horns varies in the different designs. 
Theoretically, the accuracy of the instrument increases with 
the length of the base line. The older models have a base 
line length of 112 inches. Recent exhaustive tests have shown 
that there is not much gained in accuracy if the length of 
the base line exceeds 60 inches. The new models have the 
shorter base line, thereby decreasing the weight and size of 
the instrument. 



239086"— 40 2 



5 



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COAST ARTILLERY FIELD MANUAL 



(3) The older models of sound locators use the exponen- 
tial horn, so called because the cross section area of the 
horn at any point bears a definite relation to the length 
of the horn at that point. Such a design collects the sound 
within the frequencies of airplane noise and transmits it 
to the acoustic tract without distortion. 

(4) Recent extensive tests in the laboratory and in the 
field have indicated that horn size and horn shape have 
little influence on the range of the sound locator. Hence, 
the latest models do not have the exponential horn but a 
horn which has certain other characteristics. (See b (3) 
below.) 

b. To reduce ambient noises. — (1) The existence of am- 
bient noises (that is, the general surrounding noise) serves 
to decrease the range at which the sound locator can op- 
erate. A sound locator will be used as much as possible at 
its maximum obtainable range. The more distant the tar- 
get, the fainter will be the sound. On the other hand, the 
intensity of the ambient noises will remain fairly constant 
regardless of the range. It is evident then that in order 
to increase the range of the sound locator the ambient 
noises must be reduced as much as possible. An analogy 
will emphasize this point. The less noise there is in a 
room, the more easily a quiet conversation can be heard. 

(2) Ambient noises are classified as — 

(a) Reverberation of horn structure. 

(b) Effect of wind blowing on horns and supporting 
structure. 

(c) Gear and other noises transmitted through the struc- 
ture itself to the acoustic tract. 

(d) All air-borne noises except those in the direction of 
the target. 

(3) Ambient noises are reduced greatly by the design of 
the latest type of sound locator. This type features sound 
insulating and vibration dampening materials, streamlining 
of the horns and supporting structure, and making the horn 
definitely directional within a 30° cone in the direction of the 
axis of the horn. 



6 



ANTIAIRCRAFT SEARCHLIGHTS 



8-9 



■ 8. Sound Locator M2 (fig. 2) . — This sound locator em- 
ploys three horns. For further description see FM 4-115, 
TM 4-210, or the operator's manual issued with the sound 
locator. For information on setting up, orientation, opera- 




Figtjre 2. — Sound locator M2. 

tion, and care see FM 4-115. For information on training 
instruments and methods see chapter 7 of this manual and 
FM 4-115. 

■ 9. Sound Locator Ml Series (fig. 3) . — This instrument is 
the 4-horn type with exponential horns. Several models 



7 



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COAST ARTILLERY FIELD MANUAL 




Figure 3. — Sound locator M1A8. 



(M1A1 to M1A8) are found in the service, all of which are 
similar except for the types of trailers and acoustic cor- 
rectors included therewith. For further description see 
FM 4-115, TM 4-210, or the notes on materiel, issued with 
the instrument. For information on setting-up, orientation, 
operation, and care see FM 4-115. For information on 
training instruments and methods see chapter 7 of this 
manual and FM 4-115. 



8 



CHAPTER 3 



ACOUSTIC CORRECTIONS 

Paragraphs 

Section I. General 10 

II. Acoustic corrector for M2 sound locator 11-19 

III. Acoustic correctors, Ml and M2 20-23 

Section I 
GENERAL 

■ 10. General. — a. In the preceding chapter we have seen 
how it is possible to locate a sound source in azimuth and 
angular height by means of the sound locator. Consider a 
specific example. An airplane is flying directly toward the 
sound locator at a speed of 300 miles per hour and at an 
altitude of 4,000 yards. At the instant when the plane is at 
a horiEontal range of 8,000 yards (see fig. 4) , the slant range 
to this point is 8,944 yards or 26,832 feet. Sound travels at 




Sound Locator IR) 8000 YDS. 

Figure 4. — Travel of target during sound lag time. 



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COAST ARTILLERY FIELD MANUAL 



approximately 1,100 feet per second. It will take 
26,832 

• =24.4 seconds for the sound to reach the listener. 

1,100 

The time required for sound to reach the listener is called 
sound lag time (£ s ) and is expressed in seconds. In 24.4 
seconds the target will travel 24.4 times 150 or 3,660 yards, 
approximately. That is, the target will actually be at a 
horizontal range of 4,340 yards when the sound emitted at 
8,000 yards is heard at the sound locator. The sound locator 
would indicate the angular height of the target as being 
470 mils, whereas it actually would be 760 mils. This illus- 
tration shows only the vertical error due to sound lag because 
the course considered was an incoming course. Any other 
course would have errors because of sound lag in both 
azimuth and angular height. 

b. The above illustration indicates the necessity of calcu- 
lating corrections for sound lag and of applying these cor- 
rections before the data are transmitted to the control station 
for use in directing the searchlight to the target. These 
vertical and horizontal corrections for the travel of the target 
during sound lag are called ax and s x , respectively. 

Section II 

ACOUSTIC CORRECTOR FOR M2 SOUND LOCATOR 

■ 11. Sound Lag. — a. Consider the azimuth travel of the tar- 
get as shown in figure 5, the target traveling in the direction 
A-B. A listener at O will point the sound locator toward A 
when the target is at B. The sound lag angle is S x . The dis- 
tance the target travels during the sound lag (A-B) is equal 
to ts times S where S is target speed expressed in feet per 
second. The slant range to the apparent position of the 
target 0~A can be expressed as ts times 1,100. Then 

AB = t.XS = S 

AO f„Xl,100 1,100 
The speed of sound is considered constant, so the value of 
the above ratio depends only upon the speed of the target. 

b. Note that the magnitude of the slant range to the tar- 
get does not affect the value of this ratio. This can be proven 



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ANTIAIRCRAFT SEARCHLIGHTS 



11-12 



graphically. Consider a course A'-B' parallel to A-B at one- 
half the slant range. The sound lag will be one-half that 
for the course A-B, but the travel of the target will be also 
one-half A-B. The triangles OAB and OA'B' are therefore 
similar, and the lateral sound lag angle is 5 X in either case. 

■ 12. Wind Error. — In addition to the effect of sound lag, a 
serious error may be introduced by wind. Consider a normal 




u Sound Locator 
Figure 5. — Sound lag angle, horizontal projection. 

wind blowing in the direction indicated in figure 6. The 
effect of the wind will be to change the apparent position of 
the target from A to B. As in the case of sound lag and in 
a similar manner 

AB _W 

( W= velocity of wind in f t./sec.) . The angle s 2m represents the 
error due to wind. A wind not perpendicular to the direc- 
tion OA can be resolved into a component parallel to AB and 



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COAST ARTILLERY FIELD MANUAL 



a component parallel to AO. The effect of the component 
parallel to OA is so slight that it can be ignored. 

■ 13. Parallax. — a. The sound locator for various reasons 
may be placed at some distance from the searchlight. Such 
displacement introduces a parallax error which may become 
serious. Figure 7 shows the analysis of the parallax error. 
The sound locator is at O, the searchlight at O', and the 
true position of the target at B. If the azimuth of B from 



Direction of 




Sound Locator 

FiGuitE 6. — Wind effect, horizontal projection. 

O were used to set the searchlight in azimuth, the search- 
light would be pointed at B'. An azimuth correction equal 
to the angle DO'D' (known as the parallax correction) 
must be applied to the searchlight data to have the search- 
light point at B. 

b. When the slant range OB is very great and the angular 
height small, the parallax correction is practically negligible. 
The error increases as the angular height increases, until 
at a point directly over the base line between O and O' the 
error in azimuth is 180°. 



12 



ANTIAIRCRAFT SEARCHLIGHTS 



14 



■ 14. Principle of Operation. — a. (1) The principle of the 
acoustic corrector is illustrated in figure 8. The sound 
locator is at O, the apparent position of the target at A, 
and the true position of the target at B. AB is the travel 
of the target during the sound lag time. The sound locator 
determines the azimuth and angular height of the point A. 
The acoustic corrector determines the sound lag corrections 
S x (for azimuth) and ox (for angular height) which, when 




o' 

Figure 7. — Parallax error. 



added to the azimuth and angular height of A, will give the 
azimuth and angular height of B. 

(2) In paragraph 11 it was shown that the ratio 

AB 

AO 

varies only with the speed of the target. The ratio 

AB 
AO 

and the direction AB determine the sound lag angles Si and ax. 



239086°— 40 3 



13 



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COAST ARTILLERY FIELD MANUAL 



b. (1) The acoustic corrector for the M2 sound locator 
solves the problem of determining S x and <r x in the following 
manner (see fig. 8) . The points O, A, and B are set up to a 
reduced scale. The distance AB is obtained by estimating 
the speed of the target. The miniature airplane course indi- 
cator (see par. 16) automatically and continuously determines 
the direction of AB. The point B is thus located to scale. 
The sound lag angles are determined by sighting at the point 
B from O in the miniature model and measuring the angular 
displacement (lateral and vertical) of point B from point A. 




SoundLocafor 

Figure 8. — Principle of acoustic corrector. M2 sound locator. 

(2) In the scale model used in the acoustic corrector, the 
slant range AO is kept constant at 7.5 inches. AB is adjust- 
able for target speeds from to 400 miles per hour. As previ- 
ously stated in paragraph 11, 

AB = S 
AO 1,100 

AO is constant, being 7.5 inches. For a target traveling 200 
miles per hour, S will be equal to 293 feet per second. Then, 
293X7.5 

— 1 1 00 = ^ mcnes > approximately. 

Likewise, when S equals 100 miles per hour, AB equals ap- 
proximately 1 inch. 

14 



ANTIAIRCRAFT SEARCHLIGHTS 



14-15 



(3) Figure 9 shows a view of the acoustic corrector on the 
M2 sound locator. The miniature airplane course indicator 
indicates a direction parallel to the course of the target (see 
par. 17). The target course computer (6) and multiplying 
pantograph (1) are mounted so that they remain horizontal 
while the yoke holding these mechanisms is elevated or 
depressed with the horns of the sound locator. O'A' extended 
will intersect the apparent position of the target. The length 
of A'B' is adjusted by the knob (2) according to the esti- 
mated speed of the target. 

(4) For mechanical reasons it is impossible to sight from O' 
to B', hence the multiplying pantograph is used to transfer 
the position of B' to B where it can be viewed. The points 
O, A, and B have the same significance as O, A, and B in 
figure 8. OA is constant at 7.5 inches. AB is approximately 
1 inch for each 100 miles per hour of target speed. It should 
be noted that the use of the pantograph requires the offset 
A' B' to be parallel to but opposite in direction to AB. The 
true position of the target is therefore in the direction OB 
and not O'B'. 

■ 15. Sight Mechanism. — a. The ball (B) on the end of the 
pantograph (1) is viewed through the sight (3) . (See fig. 9.) 
The sight consists of a sighting tube and a mirror which 
may be rotated in azimuth by a correction handle projecting 
underneath the tube supporting arm. Motion of the mirror 
in angular height is obtained by mounting the mirror on 
a tilting table which is connected by gearing to a rotatable 
knob on the end of the correction handle. By looking 
through the sighting tube and positioning the mirror by 
means of the correction handle and knob, the operator alines 
the image of the ball (B) on the end of the pantograph with 
the cross lines of the mirror. Thus the axis of the sight is 
made to coincide with the line OB, figures 8 and 9. The 
sight is connected to the sound locator so that its normal 
(zero correction for sound lag) axis coincides with the line 
AO. By positioning the sight so that the pantograph pointer 
coincides with the cross lines of the mirror, the sound lag 
angles S x and ax are introduced through differentials to 
the gearing connecting the azimuth and elevation drives with 



15 



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COAST ARTILLERY FIELD MANUAL 




Piguke 9. — Acoustic corrector, M2 sound locator. 



16 



ANTIAIRCRAFT SEARCHLIGHTS 



15-16 



the azimuth and elevation transmitters. (See fig. 10.) The 
transmitters are therefore transmitting the azimuth and 
angular height of the true position of the target to the con- 
trol station. 

b. The line of sight OB (fig. 9) if extended would pass 
through the true position of the target. Therefore, when the 
searchlight is in action, the pantograph pointer (B) should 
be silhouetted against the searchlight beam. In daytime 
practice, or at night when the target is in the beam, the 
target should be visible beyond the pantograph pointer. 
(This is true only when no parallax correction is applied.) 
As an aid to daylight training a circle subtending 10° at the 



Mirror 



Mirror 



Correction 
Handle 



To fl z. Transmitter 
True Az. 




To Elev . 
Transmitter 
True Elev 



Apparent Az. TrueAz. Apparent Elev. 

Figure 10. — Schematic sketch, sight mechanism. 

operator's eye incloses the cross lines on the mirror. With 
proper training the listeners should be able to keep the target 
image within this circle when the pantograph pointer is cen- 
tered on the cross lines. 

■ 16. Miniature Airplane Course Indicator. — a. In paragraph 
14& it was stated that the miniature airplane course indicator 
automatically and continuously determines the direction AB 
in figure 9. 

b. (1) Figure 11 shows projected upon the horizontal plane 
a target course L-M along which the target has the velocity 
Vt. The sound locator situated at O is pointed in azimuth 
in the direction OA, where A is the apparent target position. 



17 



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COAST ARTILLERY FIELD MANUAL 



The angle which the target course makes with the sound 
locator azimuth heading or vertical listening plane is repre- 
sented by a. 

(2) Considering only a straight course at constant altitude, 
the target velocity Vt may be resolved into two horizontal 
components Vr and Vl, the former lying in the listening plane 
and the latter normal to the listening plane. In terms of 
these two components, the course angle is 



a: = tan -1 f^ (1) 




- 

Figure 11. — Projection of target's course on horizontal plane. 

(3) Figure 12 is a projection upon the listening plane of 
the same data whose horizontal projection is shown in fig- 
ure 11. The sound locator elevation heading is OA where A 
is the apparent target position as in figure 11. The angular 
height of the sound locator is represented by e. 

(4) The miniature airplane course indicator is controlled 
by a caster connected to a ball analyzer which is mounted on 
the sound locator in such a way that the axis of rotation of the 
resolving ball remains horizontal. The two driving rollers, at 
right angles to each other, are so located in the horizontal 
plane that the one which corresponds to component Vr tends 



18 



ANTIAIRCRAFT SEARCHLIGHTS 16 

to rotate the resolving ball in the listening plane, while the 
second driving roller which corresponds to Vl tends to rotate 
the resolving ball in the plane normal to the listening plane. 
Figure 13 shows this arrangement schematically. The roller 
corresponding to Vl is termed the lateral driving roller and 
that corresponding to Vs. is termed the radial driving roller. 
The resultant motion of the ball depends upon the relative 
speeds of these two rollers. If the speeds of the lateral and 
radial driving rollers are proportional to Vl and Vr, respec- 
tively, the resulting plane of rotation of the ball is parallel 
with the target course and the caster alines itself parallel 
with the target course and indicates the correct course angle. 



M 




R A 

Figure 12. — Projection on listening (or vertical plane) through 
sound locator and apparent target position. 

(5) The problem is to make the ratio of the speed of the 
lateral driving roller to the speed of the radial driving 
roller proportional to Vl/Vr. It is convenient to derive the 
driving roller speeds from the azimuth and elevation angular 
velocities of the sound locator due to tracking the target. 
However, as will now be shown, the ratio of these velocities 
is not proportional to Vl/Vr. 

(6) Referring to figure 11, the azimuth angular velocity 
of the sound locator due to tracking the target is 




where R is the horizontal range applying to figure 11, as 
shown in figure 12. 

19 



16 



COAST ARTILLERY FIELD MANUAL 




The elevation angular velocity of the sound locator due to 
tracking the target is 

Vr sin c 

S«= D (3) 

where e is the angular height and D is the slant range, as 
shown in figure 12. 

(7) If the lateral and radial driving roller speed ratio is 
proportional to the azimuth and elevation angular velocity 



20 



ANTIAIRCRAFT SEARCHLIGHTS 



16 



ratio of the sound locator, then the course given by the 
resolving ball is 

tan-i~ (4) 

Substituting (2) and (3) in (4) 

tan~V= tan-i — ^ — (5) 
Vr sin e 

D 

Expressing the horizontal range in terms of slant range, 
R=D cos e, and substituting this in (5) 



tan-'| 2 = tan-^_ os J. 
^« Vr sin e 



D cos e Vr sin e 

Vr 1 

= tan~ V X —. (6) 

Vr cos e sin 6 ' 

(8) Equation (6) shows that when the driving roller speed 
ratio is proportional to 2a/2 e , the resultant course given by 
the resolving ball is not 

tan->?~ (1) but is tan" 1 ^ X — (6) 

Vr w Vr COS e sin e w 

and it is therefore incorrect. To make the course correct we 
must multiply the numerator of equation (6) by the factor 
cos e sin e to cancel this factor in the denominator. We 
then get the following relationship 

a = tan~ 1 ^r cos e sin e (7) 

which gives the correct course angle. This can be accom- 
plished by inserting in the drive connecting the lateral 
driving roller to the azimuth movement of the sound locator 
a variable speed drive of the speed ratio characteristic, 
cos e sin e. 

(9) For practical purposes, however, since the useful op- 
erating range of the sound locator lies between angular 



239086°— 40 4 21 



16 



COAST ARTILLERY FIELD MANUAL 



heights of from 15° to 75° we can replace the factor 
cos e sin e with the constant 0.4 and still get a reasonably 
accurate solution of course angle. Equation (7) now becomes 



= tan-! 



0.4=-" 
2.5 S e 



(8) 



(9) 



(10) For simplicity in design, in the apparatus as actually 
constructed, equation (8) is satisfied by making the radial 
driving roller speed 2.5 times faster than the lateral driving 
roller speed for the same angular velocities of the sound 
locator in azimuth and angular height. 




Figure 14. — Ball analyser, plan view. 

c. What has just been accomplished graphically, that is, 
the determination of the direction of the course of the target 
using the angular velocities in azimuth and angular height, 
can be done mechanically by a ball analyser. (See fig. 14.) 
The ball is free to rotate in any direction and is caused to 
rotate by the two rollers EL and AZ. The axes of these two 
rollers are at right angles and in the horizontal plane. 
Thus any rotation given to the ball must be about an axis 
in the horizontal plane. As the rollers EL and AZ revolve 
in the direction shown in figure 14, the top of the ball will 
be displaced in the direction F if the rates of the rollers 
are equal.- If the AZ roller is stationary, the ball will roll 
in the direction D. The direction of the rotation of the ball 



22 



ANTIAIRCRAFT SEARCHLIGHTS 



16 



is dependent therefore on the relative rates of turning of the 
two rollers EL and AZ. Pressing on the ball is a caster 
which is free to rotate about a vertical axis through the 
point A. (See fig. 15.) The caster will swing about the 
axis so as to point in the direction of rotation of the ball. 
That is, the caster indicates the direction of the resultant 
of the two vectors which are the rates of turning of the EL 
and AZ rollers. The AZ roller is connected directly to the 
azimuth drive of the sound locator. The elevation roller is 



A B 




Figure 15. — Miniature airplane course indicator. 

connected through gearing to the angular height drive so 
that the angular velocity is multiplied by 2.5 before it rotates 
the roller. The caster is therefore indicating the direction 
of the resultant of the two vectors 2 and 2.5 2 e which was 
shown in b above to be the direction of the course of the 
target. 

d. A small model airplane is mounted on the caster so as 
to give a realistic picture of the direction of the course. The 
model plane also provides a method of introducing the target 
speed. The pin B (fig. 15) is adjustable by turning the knob 



23 



16-17 



COAST ARTILLERY FIELD MANUAL 



on the model where the propeller would be located. A scale 
graduated in miles per hour target speed is provided, allowing 
speeds up to 400 miles per hour to be applied. 

B 17. Correction for Wind. — a. In the preceding discussion 
concerning the determination of the sound lag angles, the air 
speed of the target has been assumed equal to the ground 
speed. 

b. In paragraph 12, it was shown that the wind acts in the 
same manner as target speed to cause a difference between 
the apparent position and the true position. 



WIND Course of 




Figure 16. — Wind correction. 

c. A study of figure 16 will show how the acoustic corrector 
can correct for wind. Assume first that there is no wind 
and that the target is flying a rectilinear course as shown in 
figure 16. The plane will travel from A to B during the 
sound lag. Now consider a wind blowing in an opposite 
direction to the course of the target. Then the listener will 
determine the apparent position of the target as A'. The 
target travel with respect to the ground will be from A to B' 
as the head wind will reduce the ground speed of the target. 
The distance between the apparent position and true posi- 
tion has not changed due to the wind, that is AB=A'B'. 
Both the sound and the target are borne by the same medium, 
air. If the air is moving, as is the case when the wind is 



24 



ANTIAIRCRAFT SEARCHLIGHTS 



17-18 



blowing, both the sound and the target will be displaced equal 
amounts. 

d. It must be remembered that the ground speed of the 
target is affected by the wind but that the air speed of the 
target is entirely independent of the wind. From the above 
discussion it is seen that the effect of wind is automatically 
corrected for if we use the air speed of the target in making 
the setting on the miniature airplane course indicator. 

■ 18. Correction for Parallax. — a. The parallax error is de- 
pendent upon the slant range to the target, the azimuth and 
angular height of the target, and the direction and displace- 
ment of the searchlight from the sound locator. When the 
searchlight and sound locator are set in position, the dis- 
placement becomes a constant. 

b. In figure 17, the relation of target, sound locator, and 
searchlight is shown as reproduced to scale in the acoustic 
corrector. The pivot of the sight mechanism is at O. The 
solid circle with radius AB represents the possible locus of 
the pantograph pointer for some particular target speed. 
The searchlight is at L. The distance AO is 7.5 inches, which 
is the distance to scale that sound travels in 1 second (1,100 
feet) . As 

AB S 

AO~ 1,100 

(see par. 11) it follows that if AO is the distance that sound 
travels in 1 second, AB must be the distance that the target 
travels in 1 second. The distance AB remains constant so 
long as the target speed is unchanged. 

c. Let us assume that the course of the target (A-B, fig. 17) 
is as shown parallel to the base line and that the apparent 
position of the target is A. The true position of the target 
is B. The azimuth of the point B from O must be corrected 
by the parallax correction angle OCL (equals C'LC) if the 
searchlight is to be directed at the point B by the data fur- 
nished by the sound locator. If we could shift the pivot of 
the sight from O to L and then aline the sight with the panto- 
graph pointer, the parallax correction would be included in 
the transmitted data to the control station. 

d. Due to problems of construction, it is simpler to move 
the pantograph pointer from B to B' rather than move the 



25 



18 



COAST ARTILLERY FIELD MANUAL 



pivot of the sight. The locus of the pantograph pointer for 
a particular target speed is therefore the dotted circle of 
radius A'B' equal to AB. This shifting is accomplished by 
mounting the fixed elbow of the pantograph (8) on an ad- 
justable offset pivot. (See fig. 9.) The axis of the offset is 
parallel with the base line at the time of instrument orienta- 
tion. It is always kept in such alinement by gearing con- 
nected to the azimuth drive. In this manner A is offset to 
A', and A' revolves in a circle about A as the sound locator 
traverses in azimuth, the direction A A' being always parallel 
to LO. 

e. The true position of the target is actually in the direc- 
tion OB, but the parallax correction makes the sight point in 
the direction OB'. Since OB' is parallel to LB, the search- 
light is trained on the true position of the target. If the 
corrector operator were able to see the target in the mirror 
of the sight, it would no longer be in line beyond the panto- 
graph pointer (B', fig. 17) but at position B. 

f. At 0° elevation the Z OBL= Z.OCL. As the angular 
height increases (assuming slant range is constant) , Z OCL 
and likewise Z OCX increase, but Z OBL remains constant. 
When the target is directly over O the direction LC' will have 
moved counterclockwise to lie in the direction LO. The 
parallax correction has therefore increased from the Z OCL 
to 90°, as the angular height increases from zero to 90°. 

g. The offset AA' is chosen for an estimated slant range 
at 0° elevation. As stated in paragraph 14b, the entire cor- 
rector remains horizontal as the sound locator elevates or 
depresses. Therefore the offset AA' is maintained horizontal 
as the elevation of the line OA changes with the elevation 
of the sound locator. Consideration of the figure will show 
that BB' is always parallel to and equal to AA'. 

h. In introducing the parallax correction, the vertical plane 
through the sight is shifted from C to C, both of which are 
in the horizontal plane. As the angular height increases, the 
distance OC' decreases, thereby increasing the parallax cor- 
rection angle CLC'. Hence it can be seen that the parallax 
correction angle is changed to the proper value as the sound 
locator changes elevation. 



26 



ANTIAIRCRAFT SEARCHLIGHTS 



18 



i. Figure 17 shows a course parallel to the base line in 
which only parallax correction in azimuth is involved. The 
construction of the instrument is such that AA' (and likewise 
BB') is always parallel to the base line and horizontal. The 
parallax correction has been introduced by shifting the 
pantograph pointer (B) in direction and distance equal to 
the displacement (to scale) of the searchlight from the sound 




Figure 17. — Parallax corrections. 



locator. Therefore, the parallax correction is made regard- 
less of the direction of the course of the target, provided the 
slant range to pick-up point is properly estimated. 

j. The three factors affecting the parallax correction have 
been discussed. The corrections in azimuth and angular 
height are automatic. (See h and i above.) The direction 
of the parallax offset is introduced by proper orientation when 
the sound locator is set up and is thereafter automatically 



27 



18 



COAST ARTILLERY FIELD MANUAL 



maintained. Corrections for slant range and length of base 
line are made by changing the offset of the pantograph. A 
scale is provided for the offset graduated in arbitrary num- 
bers from to 10, there being no offset for and the maximum 
offset for 10. The value set on the scale is selected from figure 
18, using as arguments estimated slant range to pick-up point 
in feet, and base line length in feet. 



BASE UNE-FEET 

200 300 400 300 600 700 BOO 900 1,000 




Figure 18. — Graph of parallax settings. 



k. The estimation of the pick-up slant range is a matter 
of experience. The factors affecting the problem in gen- 
eral are — 

(1) Type of target. 

(2) Camouflage of target. 

(3) Altitude of target. 

(4) Atmospheric conditions at the moment (such as mist 
or clouds) and the degree of darkness. 

(5) Type of searchlight being used. 

The above factors can be evaluated and an estimate made 
of the approximate slant range at time of pick-up based on 
past experiences under similar circumstances. 



28 



ANTIAIRCRAFT SEARCHLIGHTS 



19-21 



Section III 
ACOUSTIC CORRECTORS Ml AND M2 

■ 19. General. — a. In section II the acoustic corrector for 
the M2 sound locator was discussed. This is the latest type 
of acoustic corrector. Two other types will be found in the 
service, the Ml and M2. Both the Ml and the M2 operate 
on the same principle, but in other features they are quite 
different. The principle of operation of the Ml and M2 is 
totally different from that described in section II. Note that 
the M2 acoustic corrector is not used with the M2 sound 
locator. 

b. The Ml and M2 acoustic correctors were designed for 
use with the sound locators of the Ml series. Acoustic cor- 
rector M1A1 is similar to the Ml except that it delivers data 
in mils. 

■ 20. Principle of Operation. — a. The angular velocities of 
the target in azimuth and angular height are obtained by 
the process of tracking the target with the sound locator. 
These angular velocities 2 S and 2 e are multiplied by the 
sound lag time (is) to obtain S x and a x , respectively. 

b. The sound lag angles d x and ax are added, respectively, to 
the azimuth and angular height of the apparent position of 
the target as determined by the sound locator, giving the 
true position of the target, which is then transmitted elec- 
trically to the control station. 

■ 21. Acoustic Corrector Ml (M1A1). — a. The principle by 
which this device works has been explained in paragraph 20. 
Figure 19 shows the instrument with the front cover re- 
moved. It consists, essentially, of the following components: 

(1) Two single unit electrical data transmitters. 

(2) Sound lag drum and chart. 

(3) Two prediction mechanims. 

(4) Corrected azimuth and elevation scales. 

b. Two single unit synchronous electrical data transmitters 
are provided, one for azimuth and the other for angular 
height, to transmit the true position of the target to the con- 
trol station. The rotor of each is connected with the azimuth 
or angular height drive of the sound locator. The transmitters 



29 



21 



COAST ARTILLERY FIELD MANUAL 



would therefore transmit the azimuth and angular height 
of the apparent position of the target to the control station 
if no sound lag correction angles were added. 




c. The sound lag drum carries a chart upon which are 
plotted curves of constant sound lag time (ts) using altitudes 
as ordinates and angular heights of the apparent position as 



30 



ANTIAIRCRAFT SEARCHLIGHTS 



21 



abscissae. The drum is connected to the angular height 
drive of the sound locator and is therefore positioned in 
angular height of the apparent position. A pointer, which is 
set at the estimated altitude of the target, indicates a curve 
of sound lag on the cylinder. 

d. (1) There are two prediction mechanisms, one for azimuth 
and the other for angular height. The azimuth prediction 
mechanism consists of a scale and two pointers. The inner 
pointer is connected by a clutch to the azimuth drive of the 
sound locator. Normally the clutch is disengaged. Pressure 
on the operating button engages the clutch and the inner 
pointer indicates the angle through which the sound locator 
has traversed while the clutch was engaged. The clutch is 
engaged by the operator for the period of time indicated by 
the sound lag drum. It will be seen that we have performed 
the multiplication SaXts which as shown in paragraph 20 is 
S x . A knob is provided to zero the inner pointer after each 
prediction. 

(2) The outer pointer of the azimuth prediction mechanism 
is geared to the frame of the azimuth transmitter. The 
outer pointer is matched to the inner pointer, thereby rotating 
the frame of the azimuth transmitter through the sound lag 
angle (S x ). Since rotating the frame is equivalent to an 
added rotation to the rotor, the sound lag angle CS X ) has 
been effectively added to the azimuth of the apparent position 
of the target. The azimuth transmitted to the control sta- 
tion will be this sum. 

(3) Arbitrary corrections in azimuth are introduced by dis- 
placing the scale of the prediction mechanism. Therefore 
the correction will not take effect until a new prediction is 
made after the correction is applied. 

(4) The curves on the sound lag chart are graduated with 
values of one-third the actual sound lag time in order to 
reduce the time necessary to make a prediction. For an 
actual sound lag of 18 seconds, the clutch would be engaged 
for 6 seconds. A suitable gearing is used between the predic- 
tion mechanism and the frame of the transmitter so that 
the full value of the sound lag angle (S x ) is applied. 

(5) The prediction is not continuously computed. The 
sound lag angle (Sx) computed by a prediction remains con- 



31 



21-22 



COAST ARTILLERY FIELD MANUAL 



stant until a new prediction is made and introduced by 
matching the pointers. 

(6) The prediction mechanism for angular height is identi- 
cal with the azimuth prediction mechanism except that the 
inner pointer is engaged with the elevation drive by the clutch, 
and the matching of the pointers displaces the frame of the 
angular height transmitter the amount of the sound lag 
angle (ax). 

e. The corrected azimuth and elevation scales indicate the 
azimuth and the angular height being transmitted to the 
control station, that is, the azimuth and angular height 
of the true position of the target. The releasing knobs on 
the top of the corrector clamp these scales to the rotors 
of the data transmitters and provide a method of orienting, 

■ 22. Acoustic Corrector M2. — a. The acoustic corrector 
M2 is an improvement of the Ml corrector. The necessity 
of using a stop watch to measure the sound lag when making 
the prediction is eliminated. All operations are automatic 
except setting in the estimated altitude of the target and 
matching two sets of pointers. (See fig. 20.) 

b. The instrument functions differently from the Ml. The 
azimuth and angular height of the apparent position of the 
target and the lateral and vertical angular rates (2 a and s e ) 
are transmitted from the sound locator to the acoustic cor- 
rector. The elevation drive is connected to the rotor of 
the elevation transmitter and, through friction drives, to the 
pointer of the vertical rate indicator. The azimuth drive 
is connected to the rotor of the azimuth transmitter and, 
through friction drives, to the pointer of the lateral rate 
indicator. The sound lag time computing cam is translated 
along its axis in estimated altitude. The lift of the sound 
lag time computing cam is proportional to l/t s . The lift of 
the time cam follower moves (in translation) through a 
rack and gear differential, a guide carrying two multiplying 
cams (lateral and vertical). These cams are positioned (in 
rotation) by movement of the lateral and vertical rate 
matching knobs. The lifts of the multiplying cam follow- 
ers are proportional respectively to the lateral (2 a ) and 
vertical (2 e ) angular velocities of the target. The followers, 
through racks and pinions, position the outer pointers of 
the rate indicators. 

32 



ANTIAIRCRAFT SEARCHLIGHTS 



22 




c. What has been accomplished thus far may be explained 
mathematically as follows: 

_ D (sl ant range) , . 

t H (sound lag time) - ^ (velocity of sound) W 

^(estimated a l titude) ^ 
D ~sint' (angular height) 

33 



22 



COAST ARTILLERY FIELD MANUAL 



Substituting in (1) 

'■=db (3) 

Inverting (3) 

{Lift of follower on time cam and] _ (rotation of time cam) 
| translation of multiplying cams) (translation of time cam) 

f angular height correction) r vert ical angularl v , 
a A required by travel of target > = 2„{ 6 Xt, (4) 

(during sound lag time J I velocity J 

Rearranging (4) 

X. = a x Xl/t, (5) 

f Lift of follower on vertical] frotation of . (translation) 
I multiplying cam, and m-ll.. , muItiol v I v J of vertical I 
Idication of index on verti-f ~ \ >' „ L„ P y I I multiplying 
leal rate indicator J Ung Cam } (cam J 

Note. — Equations (4) and (5) hold for the lateral elements 
S x and 2a als - Tne reason for the use of the reciprocal of the 
sound lag time l/t s is thus made apparent as it contributes toward 
simplicity in design. 

d. The actual measurement of the target's angular rates 
(2a or Se) is accomplished automatically. The timing 
mechanism consists of a small constant-speed (governor- 
controlled) A. C. motor which drives a tripping cam at 6 
revolutions per minute or 1 revolution in 10 seconds. The 
elevating and traversing shafts from the sound locator are 
connected to rate indicator pointers through friction 
clutches. The tripping cam, through slides and levers, ac- 
tuates pawls which alternately engage, for a period of 4 
seconds, and disengage, for a period of 6 seconds, the ratchet 
wheels which drive the rate indicator pointers (inner point- 
ers on the rate indicator) . When the pawls are disengaged, 
the tachometer pointers are engaged with their respective 
elevating and traversing shafts and measure their angular 
movements for 6 seconds. When the pawls are engaged, 
the tachometer pointers remain stationary for 4 seconds, to 
allow time for the operator to match the' indexes with them, 
and then return to zero, after which the cycle of operation 



34 



ANTIAIRCRAFT SEARCHLIGHTS 



22 



is repeated. The chronometric cam is so designed that there 
is a 5-second interval between the beginning of the cycles 
of the lateral and vertical rate indicators, which permits 
one operator to match alternately the two rate pointers. 
The linear scale factors and gear ratios are such that the 
operation of the mechanisms may be described as the peri- 
odic multiplication (at 10-second intervals) of the average 
angular velocity in mils per second ( y 6 of the angular move- 
ment in 6 seconds) by the sound lag time in seconds. 

e. The electrical transmitters which transmit azimuth and 
angular height to the searchlight control station are built 
into the instrument and function ,in the same manner as 
those in the acoustic corrector Ml. The rotors are con- 
nected to the azimuth and elevation shafts from the sound 
locator. The stators are rotated through the sound lag 
correction angles (& and ax) by the rate matching knobs. 
Provision is made for arbitrary vertical and lateral cor- 
rections. 

/. The speed of the constant-speed motor may be checked 
by counting the revolutions of the tripping cam over a 1- 
to 5-minute interval using a stop watch. The speed may be 
adjusted through an adjusting screw just below the top 
cover plate. 

g. Stops are provided which limit the motion of the op- 
erating handwheels. The acoustic corrector M2 operates 



within the following limits: 

Slant range (D) 1,100 to 11,000 yards. 

Altitude (H) 3,300 to 30,000 feet. 

Angular velocity (2 a or 2 e ) 83 mils per second. 

Sound lag correction (s x and ax) _ ±250 mils. 

Arbitrary correction ±200 mils. 

Prediction period 6 seconds. 

Prediction interval 10 seconds. 



35 



CHAPTER 4 



SEARCHLIGHTS 

■ 23. General. — This chapter is devoted to searchlight phe- 
nomena. Information pertaining to searchlights will be 
found in TM 4-210 and the operator's manual issued with 
the searchlight. Information on setting-up, orientation, 
operation, and care will be found in FM 4-115. 

■ 24. Contrast. — a. General. — (1) The range of a search- 
light is the maximum distance at which an object in the 
beam is visible. The visibility of the object does not depend 
on its actual illumination but upon the contrast between 
its illumination and the illumination of the surrounding field. 

(2) The contrast between an object and the surrounding 
field which is necessary for visibility depends upon the ap- 
parent size of the object, that is, upon the angle which it 
subtends at the eye of the observer and the area presented 
toward him. When the object is close, a contrast of a few 
percent is sufficient for visibility. When the object is far 
away and subtends a small angle, a contrast of several hun- 
dred percent is necessary to make the object visible. 

(3) A specific example will illustrate the above fact. 
Consider the sun as a searchlight which is illuminating the 
moon and the planet Venus as well as the surrounding fields. 
During daylight hours the contrast between the moon and 
the surrounding field is about 2 to 1. The moon subtends 
an angle of about 25 minutes. Venus, due to its greater 
coefficient of reflection, has an actual contrast of about 12 
to 1. Venus subtends an angle of about 1 minute. In 
spite of the great difference in contrast, the moon can be 
seen in daylight while Venus cannot. The apparent size 
of the two objects, the moon and Venus, is the determining 
factor in this case as to whether or not the object is visible. 

(4) The area presented toward the observer affects the 
problem of contrast in the case of airplane targets. As can 
be seen from figure 21, an airplane presents less area toward 



36 



ANTIAIRCRAFT SEARCHLIGHTS 



24-25 



the observer as the angle of elevation decreases. The maxi- 
mum area is presented at about 55°. Figure 21 is for a 
biplane. For a monoplane the curve becomes a straight 
line with a minimum value for 0° and increases to the 
maximum value at the zenith. The amount of light re- 
flected to the observer from both the target and the field 
surrounding the target determines the contrast. The less 
area the target presents, the less light is reflected and the 
lower the contrast. A camouflaged plane may have a sim- 
ilar effect, for the contrast is reduced if the amount of light 
reflected from the plane is reduced. 





i 


i 








1 11*1 1 

































v i i m i i 









































90° W 70° 60° 50° 40° 30° 20° 10° 0° 

ZENITH HORIZON 

Figure 21. — Angle of aspect. 

b. Improving contrast. — The most obvious way of improv- 
ing the contrast is to move the observer away from the search- 
light beam and thus decrease the depth of illuminated at- 
mospheric particles through which he must view the target. 
This has the effect of decreasing the luminosity of the field 
without appreciably decreasing the amount of light reflected 
from the target. Figure 22 illustrates the value of moving 
the observer away from the beam. 

■ 25. Decrease in Illumination. — a. As the target increases 
its range, the illumination falling on it decreases by reason 
of two factors, atmospheric absorption and spreading of the 
beam. Loss of light due to atmospheric absorption varies 



37 



25 



COAST ARTILLERY FIELD MANUAL 



\ 



with the weather — from 10 percent per mile in clear weather 
to complete absorption in fog. Loss because of spreading of 
the beam is the same for all conditions 

tand follows the law of inverse squares, 
that is, for each doubling of the distance 
the illumination is reduced to one-quar- 
ter of its former value. Spreading of the 
beam is caused by the unavoidable fact 
that the source of light is an area and 
not a point and that the lines of light of 
the beam must be slightly divergent. 
(See fig. 23.) 

b. The luminosity of the beam against 
which the target is seen remains about 
i \ the same irrespective of target range. 

\ v This is because at all ranges the observer 

I \ is looking through the same total depth 

i \ of illuminated atmospheric particles in 

\ \ front of and behind the target. There- 

i \ fore, as the range to the target increases, 

i \ we have the situation of less contrast be- 

i \ tween the target and the field, and a 

\ \ need for more contrast because of the 

smaller apparent size of the target. 




A. At light. B. 15-foot displacement. C. 50-foot displacement. 
Figure 22. — Effect of location of observer on contrast. 



These two factors impose sharp limitations on the range even 
though extremely powerful beams are used. (See fig. 24.) 



38 



ANTIAIRCRAFT SEARCHLIGHTS 



26 



■ 26. Beam Candlepower.— a. The searchlight mirror in effect 
magnifies the light source to the diameter of the mirror 
Therefore, if it were not for the absorption of the light bv 
he mirror front door, and shadow-making obstructions in 
the searchlight, the beam candlepower would be equal to the 
intrinsic brilliancy (candlepower per sq. mm.) of the light 
source multiplied by the area of the mirror in square milli- 
meters. Because of these absorptions and obstructions the 
actual beam candlepower is about 60 percent of this product. 

, 60" 



60" 



Figure 23. — Spreading of beam 

b. The intrinsic brilliancy of the light source is not uniform 
but is brightest at its center. likewise the beam also has a 
central area of higher candlepower than the average over its 
entire area. It has been found in practice that the range of 
the searchlight is dependent upon the brighest central por- 
tion. The value given for beam candlepower is computed by 
multiplying the intrinsic brilliancy of the central area of the 
light source by the area of the mirror and deducting 40 per- 
cent for losses. If the mirror and the front door are perfectly 
clean, the losses are considerably less than the 40 percent 
which has been taken to cover average conditions in the field 




RELATIVE 
INTENiin' 

m mm 



39 



27 



COAST ARTILLERY FIELD MANUAL 



■ 27. High Intensity Arc. — a, In order to obtain a beam 
candlepower of 800,000,000 with an ordinary carbon arc, it 
would be necessary to use a current of 350 amperes and a 
mirror diameter of 125 inches. This is because the ordinary 






Figure 24. — Falling off of illumination due to range. 



carbon arc has an intrinsic brilliancy of 160 candlepower per 
square millimeter. 

b. We know from observation of the sun that an incandes- 
cent gas is capable of much higher intrinsic brilliancy than 
160 candlepower per square millimeter. The reason for this 



40 



ANTIAIRCRAFT SEARCHLIGHTS 



27-28 



is that the gas is translucent and light is derived from the 
interior as well as the surface. 

c. The incandescent ball of gas which forms the source of 
light in the high intensity arc is derived from the rare earths, 
cerium and lanthanum. By incorporating these earths in 
the relatively soft core of the positive carbon in precisely the 
right form and quantity and by forcing a high current density 
through the carbon, the earths are volatilized and projected 
into the crater. 

d. To be useful as an intense source of light in the focus 
of the mirror, this brilliant gas must be confined to a very 
small volume. This is accomplished by compounding the 
materials of the core of the positive carbon so that they 
volatilize a little more readily than the hard carbon shell, 
and thus form a crater in the end of the positive carbon. To 
keep the crater uniform the positive carbon is rotated slowly. 
To confine and compress the light-giving gas in the positive 
crater, the negative carbon is so arranged that the electron 
stream sweeps across and impinges on the gas. 

e. The high intensity arc has an intrinsic brilliancy of 750 
candlepower per square millimeter. With this brilliancy, the 
beam candlepower of the searchlight is 800,000,000 (assum- 
ing a loss of 40 percent by absorption) when used with a 
60-inch mirror. The total current required is 150 amperes. 

■ 28. Effect of Ottt-of-Focus Condition. — a. The most im- 
portant cause of loss of beam intensity is out-of -focus condi- 
tion of the light source. The curves in figure 25 show the 
great loss in beam intensity caused by small errors in placing 
the light source at the focus of the mirror. Curve A shows 
the distribution of light in the beam when the light source is 
at the focus. Under these circumstances the center portion 
of the beam has a value of 800,000,000 beam candlepower 
and the spread is slightly over 1°. An out-of -focus condition 
of only Vb inch brings about the distribution of illumination 
shown in curve B. The maximum beam candlepower is 
reduced about 40 percent and the range at least 20 percent. 
An out-of -focus condition of % inch brings about the dis- 
tribution of illumination shown in curve C, which is ap- 
proximately equivalent to the illumination of a 36-inch 
searchlight. 



41 



28-29 



COAST ARTILLERY FIELD MANUAL 



8*I0 8 
S7"I0 8 
O6x|0 8 

Qu 

uj5x|0 8 

U3x|0 8 
J ?x|0 8 
(O I0 8 



































V- 








































:± 


















-i 
























































1 



































1° 



'/2 



Figure 25. — Effect of errors in focusing on beam intensity. 

b. From the above discussion it is evident that special at- 
tention must be given to keeping the light source within g'z 
inch of the focus of the mirror. Such precision is better 
accomplished by automatic means incorporated in the search- 
light than by hand control. 

■ 29. Other Losses op Beam Candlepower. — Two other im- 
portant sources of loss of beam candlepower under field con- 
ditions are sputtering or unsteadiness of the arc and deposits 
on the mirror and front door. Unsteadiness of the arc, which 
is caused almost entirely by excessive current density, is 
avoided by not allowing the current through the arc to exceed 
150 amperes. The deposits on the mirror and front door are 
given off by the burning of the carbons. A ventilating sys- 
tem must continuously sweep the mirror and front door 
with fresh air but must not create a draft which will interfere 
with the arc. 



42 



CHAPTER 5 



SEARCHLIGHT CONTROL 

■ 30. General. — In paragraph 24 it was shown that the con- 
trast and consequently the visibility of the target are im- 
proved by moving the observer away from the searchlight 
beam. Two methods are provided for controlling the search- 
light. 

a. The extended hand controller which places the ob- 
server about 15 feet from the searchlight beam. 

6. The distant electric control in which the observer is 
50 feet or more from the searchlight beam. 

■ 31. Extended Hand Control. — This method is intended as 
an emergency method of controlling the searchlight in case 
of failure of the distant electric control. It consists of a 
long rod inserted in a receptacle on the side of the searchlight. 
By rotating the wheel at the end of the rod the searchlight 
is elevated or depressed. By pushing on the end of the rod 
in a horizontal direction the searchlight is traversed. As can 
be seen from figure 22, some advantage is gained in visibility 
by the 15-foot displacement of the observer. 

■ 32. Distant Electric Control (D. E. C.) — a. The purpose 
of the distant electric control is to provide a means of 
elevating and traversing the searchlight from the control 
station. 

b. The distant electric control consists of a pair of trans- 
mitters at the control station and a pair of motors mounted 
on the searchlight. One motor drives the searchlight in 
azimuth and the other in elevation, each motor being con- 
trolled respectively by the transmitter at the control station. 
The motors, transmitters, and method of operation of both 
elevation and azimuth distant electric control are identical. 

c. In the later types of searchlights, the D. E. C. motors are 
operated directly by the transmitters at the control station. 



43 



32-33 



COAST ARTILLERY FIELD MANUAL 



Another type of D. E. C. motor may be encountered in the 
service known as the brush shifting type. (See pars. 33 and 
34.) 

■ 33. Theory of Distant Electric Control — Step-by-Step 
Transmitter (Direct) . — a. The transmitters may be described 
as rotary switches which, by changing the current flow in 
the field coils of the motors, accomplish a rotation of the 
magnetic fields in a step-by-step process. The rotor being 
of a constant polarity follows the rotating magnetic field in 
the field coils and thereby imparts a motion to the search- 
light. 

b. The transmitter is shown schematically in figure 26. 
It consists of a commutator with four segments, each sub- 
tending approximately 75° of arc with insulation between 
the segments. The polarity of the segments is alternately 
plus and minus as shown in the figure. Three contact rollers 
set 120° apart are kept in contact with the segments by spring 
pressure. The rollers are rotated inside the commutator by 
the observer's and zero reader (comparator) operator's hand- 
wheels at the control station. Each roller is connected elec- 
trically with certain stator windings of the D. E. C. motor 
at the searchlight. It is seen that the current flowing 
through each roller contact will be plus, zero, or minus 
depending on the position of the roller on the commutator. 

c. The D. E. C. motor stator has a distributed winding of 12 
coils. The wiring of the stator is so arranged that the coils 
form three groups of four coils (or poles) in each group. 
(See fig. 26.) The rotor of the motor is polarized, having 
four coils connected in series so that the adjacent poles 
have unlike polarity. This causes the poles of the rotor 
to have a strong constant polarity and gives the required 
torque necessary to control the searchlight at all speeds. The 
motor operates on direct current. 

d. The manner of functioning is illustrated in the 
schematic diagram, figure 26. In this figure the transmitter 
and motor are shown in their relative positions as the trans- 
mitter is turned through 30°. It will be seen that every 15° 
change in the transmitter results in some change of the 
current flow through the stator of the motor resulting in 



44 



ANTIAIRCRAFT SEARCHLIGHTS 



33 




Figure 26. — Schematic diagram, distant electric control step-by-step 
transmitter (direct). 



a shift of the magnetic field by 15°. The rotor follows the 
shift of the magnetic field and is, therefore, turned through 
15°. Each change of 15° by the transmitter is called a step, 



45 



33-34 



COAST ARTILLERY FIELD MANUAL 



hence the name "step-by-step" because the rotor is moved 
by steps. A complete revolution of the transmitter takes 24 
steps; likewise the rotor moves a complete revolution in 24 
steps. . The motor is geared to the searchlight so as to move 
the searchlight 6 minutes of arc per step or 2° 24' per complete 
revolution of the motor. 

■ 34. Theory of Distant Electric Control — Brush Shift- 
ing Type. — a. This system employs a step-by-step transmitter 
which moves the rotor of the brush shifting motor in exactly 
the same manner as described in paragraph 33. However, 



Az/muff) 
Tra/n/ng 
Motor 

fser/es 

«1> / UL. 




/OOv.DC 



Figure 27. — Principle of brush shifting type, distant electric 

control. 



the motor does not have sufficient torque to move the search- 
light. 

b. The brush shifting motors are operated on 35 volts 
D. C. As the name implies, the motor shifts the position 
of the brushes of the training motor in the same direction 
as the rotation of the contact rollers of the transmitter. 
The actual rotation is accomplished through a differential. 

c. The training motors are 100-volt direct-current series 
wound motors. The brushes are normally 90 electrical de- 
grees from the brush position of the ordinary motor. In this 
position there is no torque. The brushes are mounted in 
the housing of a differential. Hence, when the brush shift- 
ing motor operates under the control of the transmitter, the 
housing of the differential and the training motor brushes 
will be rotated from the no torque position to a torque 
position. (See fig. 27.) The training motor, having torque, 



46 



ANTIAIRCRAFT SEARCHLIGHTS 34 

commences to rotate. Its rotation has two effects: first, it 
turns the searchlight, and second, it turns the other input 
shaft (/) of the differential. The differential functions as 
a canceling differential and the rotation of the input shaft 
(/) backs off the amount of rotation which was initially 
applied by the brush shifting motor through the input shaft 
(ff). When the amount of rotation of shaft (/) equals the 
amount of rotation of shaft (g), the output of the differ- 
ential (which is the rotation of the housing (d) ) is zero. 
The brushes which are carried by the housing have been 
returned to the no torque position and the motor ceases to 
rotate. See EM 4-110 for further information on differential 
action. It is seen that the training motor has rotated the 
same amount as the brush shifting motor which in turn 
rotates the same amount as the step-by-step transmitter. 



47 



CHAPTER 6 
CONTROL STATION 

■ 35. General. — The control station establishes the connect- 
ing link between the searchlight and the sound locator. It 
usually contains the following items: 

a. The distant electric control (see ch. 5) which is used to 
traverse and elevate the searchlight in azimuth and angular 
height. 

b. Either a comparator (pars. 39 and 40) or a zero reader 
(par. 36), which are devices employed to insure that the 
searchlight is pointed at the azimuth and angular height 
transmitted from the sound locator. 

c. The later models (1934-1940) are provided with a mount 
which holds the binocular night glass. These glasses aid in 
picking up and tracking the target. 

■ 36. Zero Reader. — This device indicates directional synchro- 
nization between the sound locator and the searchlight, that is, 
it indicates when the searchlight is directed at the true posi- 
tion of the target as determined by the sound locator and 
acoustic corrector. This is accomplished by electrically de- 
tecting angular displacement of the searchlight from the 
sound locator by means of a phase detector. Synchroniza- 
tion is indicated by the centering of the needles of the azi- 
muth and elevation zero reader meters. 

■ 37. Theory op Operation of Zero Reader. — a. Figure 28 
shows an A. C. self-synchronous transmitter connected to a 
self -synchronous receiver in the usual manner (see FM 4-110) 
except that the receiver rotor is not connected to the A. C. 
power supply. 

b. The transmitter rotor sets up an A. C. magnetic field 
along the axis A-B. By transformer action, voltages are set 
up between leads 1, 2, and 3 of the stator which, when con- 
nected to the receiver stator, produce an A. C. magnetic field 
along the axis A'-B'. When the transmitter rotor is rotated, 



48 



ANTIAIRCRAFT SEARCHLIGHTS 



37 



as is the case when transmitting angular data, the axis of 
the field A'-B' in the receiver exactly follows the movement 
of the transmitter rotor. 

c. With the conditions as shown in figure 28, the field A'-B' 
of the receiver is at right angles to the rotor winding and 
hence no voltage is induced in the rotor. If the transmitter 
rotor is set at a new position, the field A-B (and consequently 
the field A'-B') will shift and the rotor of the receiver will 
no longer be in the neutral (no voltage) plane. A voltage 
will be induced in the receiver rotor which will be of such 




Transmitter Receiver 
(at Sound Locator) (at Searchlight) 

60 cycle 
A.C. Supply 

Figure 28. — Principle of zero reader. 



phase as to tend to move the rotor to the neutral plane. 
Hence it will be seen that the phase of the voltage induced 
in the receiver rotor will depend upon whether the search- 
light leads or lags behind the sound locator. The voltage out- 
put of the receiver rotor varies as the sine of the angular 
displacement of the rotor with respect to the field A'-B'. 

d. If the transmitter is geared to the sound locator and 
the receiver is geared to the searchlight and adjusted so 
that there is zero voltage when the sound locator and search- 
light are in synchronism, then so long as the voltage output 
of the receiver rotor (at the searchlight) is zero, synchronism 
is maintained. When the two are not synchronized, the 



49 



37-38 



COAST ARTILLERY FIELD MANUAL 



receiver rotor will have a voltage output which varies as 
the sine of the angular displacement of the transmitter, and 
the phase of the voltage reverses as the searchlight lags 
behind or leads the sound locator. 

e. The reversible -phase voltage output of the receiver rotor 
is fed into a simple phase detecting circuit, so that the lag or 
lead of the searchlight may be indicated by the right or left 
deflections of an ordinary zero center D. C. voltmeter. The 
throw of the zero reader needle will be approximately pro- 
portional to the angular displacement between locator and 
searchlight. 

/. Zero readers are furnished for angular height and for 
azimuth. Both units are the same. The operators of the 
zero readers keep the searchlight synchronized by using the 
D. E. C. handwheels at the control station. The handwheel 
rotation and deflection of the zero reader are correlated in 
such a way that right deflection of the zero reader requires 
counterclockwise rotation of the handwheel to center it and 
vice versa. The operation is similar to that of steering a car, 
and in practice the motion becomes instinctive. 

gr. It should be noted that the above mechanism will indi- 
cate zero readings when the searchlight is exactly 180° out 
of synchronism in azimuth. This is detected by noting that 
when the azimuth distant electric control handwheel is 
moved clockwise, the needle moves off center to the left 
instead of the right as it should. Synchronism is restored 
by turning the searchlight by means of the azimuth D. E. C. 
through 180°, at which time the zero reader will again be 
centered. 

■ 38. Phase Detecting Circuit. — o. The phase detecting 
circuits for both azimuth and angular height are identical. 
It is shown schematically in figure 29. It consists of two 
small center-tapped resistors Rl and R2 of 500 ohms each. 
Kl and K2 are similar 6-disk copper oxide rectifiers. A 
small transformer supplies 10 volts A. C. polarizing voltage. 

b. As the transformer and the transmitter at the sound 
locator use the same source of power, the rotary converter, 
the voltages will be in phase. Assuming that there is no 
voltage output from the receiver rotor, Kl and K2 rectify the 



50 



ANTIAIRCRAFT SEARCHLIGHTS 



38-39 



polarizing voltage equally, and as the zero reader voltmeter 
is connected across the points A-B of the same potential 
there is zero deflection. When the searchlight lags behind 
the sound locator, the voltage output of the receiver rotor 
adds in phase with the polarizing voltage across Kl and 
opposes the polarizing voltage across K2. Kl will pass more 
rectified current than Kl, A is positive with respect to B, and 
the meter will deflect, for example, to the right. When the 
searchlight leads the sound locator, the voltage output of 



4 |ki A 




60 cycle 
A C. Supply 



Figure 29. — Phase detecting circuit. 

the receiver rotor opposes the polarizing voltage across Kl 
and adds in phase with the polarizing voltage across K2. B 
is then positive with respect to A and the meter will deflect 
in the opposite direction — to the left. 

c. The phase detecting circuits are located on the search- 
light. Meters to read the lag or lead of the searchlight are 
located both at the searchlight and the control station. 

■ 39. Comparator. — a. Another type of synchronizing device, 
known as the comparator, will be found in the service. The 
comparator uses the A. C. self-synchronous data transmis- 
sion system. (See FNL 4-110.) 



51 



39-40 



COAST ARTILLERY FIELD MANUAL 



b. Inside the comparator case will be found four self- 
synchronous data receivers. The rotors drive two sets of 
concentric dials, one for azimuth and the other for angular 
height. The outer dials in each set indicate 'the azimuth 
and angular height as transmitted from the sound locator. 
The inner dials in each set indicate the azimuth and angular 
height of the searchlight. Azimuth and angular height 
data transmitters are located in both the sound locator and 
searchlight and automatically transmit the data to the com- 
parator. The operators at the control station traverse and 
elevate the searchlight by means of the D. E. C. until the 
pointers on the dials are matched. At this time the sound 
locator and searchlight are synchronized. 

■ 40. Comparator, Mechanical (A. C). — A variation of the 
comparator described in paragraph 39 is also in the service. 
The searchlight dials of the comparator are driven by 
direct gearing from the D. K. C. handwheels. Hence the 
dials indicate the angular height and azimuth of the search- 
light without using the data transmission system between 
the searchlight and comparator. The sound locator dials 
are positioned by data transmitted electrically from the 
sound locator to the comparator as described in paragraph 
39. 



52 



CHAPTER 7 



BINAURAL TRAINING INSTRUMENTS 

■ 41. General. — Binaural training instruments are necessary 
for the following reasons: 

a. Making the initial selection of listeners for further 
training. 

b. Developing and improving as a result of practice the 
accuracy of the binaural sense. 

c. Providing a means of training available at all times and 
not dependent upon such factors as weather conditions, suit- 
able targets, and availability of the other members of the 
sound locator section. The use of binaural training instru- 
ments in no way obviates the necessity of actual practice on 
the sound locators with actual targets. Frequently, a train- 
ing instrument will be the only available means of practice 
for a listener. 

■ 42. Binaural Trainer Ml. — a. The binaural trainer Ml 
is still in service although no new units are to be manufac- 
tured. The entire instrument has been incorporated in the 
binaural trainer M2. 

b. The binaural trainer Ml consists of an electric turntable 
and magnetic pick-up to play phonograph records of aircraft 
in flight, a receiver unit which serves as a source of sound, a 
phase control unit which varies the length of the sound paths 
to the ears, and a helmet for the use of the listener. The 
complete unit is shown in figure 30. The unit is designed to 
reproduce the conditions experienced in the operation of 
sound locators insofar as binaural sense is concerned. A 
numerical scale is provided which reads the error from exact 
binaural balance. 

c. The interna] construction is illustrated in figure 31. The 
sound (transmitted electrically from the phonograph) is 
reproduced in a receiver unit where it passes into the phase 



53 



42 



COAST ARTILLERY FIELD MANUAL 




ANTIAIRCRAFT SEARCHLIGHTS 



42-43 



control unit. The phase control unit is connected to the 
two handwheels at opposite ends of the instrument so that 
rotation of either handwheel will lengthen the acoustic tract 
to one ear and shorten it to the other ear. This results in 
a difference in distance from the sound source to each ear, 
and as was shown in paragraph 6 results in a difference in 
phase which the ears are able to distinguish. By varying the 
relative lengths of the acoustic tracts, the listener gets the 
same effect as turning his head with respect to the sound 
source. The phase control unit is unbalanced by turning the 
small handwheel. The listener then tries to center on the 
sound by turning the large handwheel. In figure 31, the 
phase control unit is shown balanced. For further informa- 
tion on the binaural trainer Ml see the notes on materiel, 
Sound Locators Ml Series, issued with the instrument. For 
information on the selection and training of listeners see FM 
4-115. 

■ 43. Binaural Trainer M2. — a. This instrument is designed 
for training of sound locator listeners under conditions which 
very closely simulate those of actual aircraft tracking. 
Changes in sound intensity, azimuth, angular height, and 
contrast between aircraft sound and ambient noises can be 
made to approach actual listening conditions. The listeners 
work on the sound locator when using this training instru- 
ment, or use the portion of the unit similar to the binaural 
trainer Ml. (See par. 42.) 

b. The out-of-doors portion of the instrument utilizes an 
overhead wire along which a horn assembly is moved. The 
horn assembly is actuated by an amplifier and reproduces a 
phonograph record of an airplane in flight. By manipula- 
tion of the volume control of the amplifier combined with 
a variation in rate of movement of the horn assembly along 
the overhead wire, the target can be made to approach, to 
recede, and to execute other simple types of maneuvers. 

■ Figure 32 shows the mechanism set up in position ready to 
operate. As excess humidity will damage the horn assembly, 
the device should not be operated in the rain or left out of 
doors at night. The phonograph and amplifier operate on 



55 



43 



COAST ARTILLERY FIELD MANUAL 




^ IIOV. 60cycle 
A C. Supply 



Figure 32. — Schematic diagram, binaural trainer M2. 

a 110- volt 60-cycle A. C. For further information see the 
instruction manual issued with the instrument. 

c. The indoor portion of the instrument consists of the 
same devices used in the binaural trainer Ml. The electric 
turntable and magnetic pick-up are used for both the indoor 
and out-of-door portion of the instrument. 



56 



INDEX 



Acoustic corrector: Paragraph Page 

For M2 sound locator 14 13 

Ml 19, 20, 21 29 

M2 19,20,22 29,32 

Ambient noises 7 5 

Angle of aspect 24 36 

Arc, high intensity 27 40 

Ball analyser 16 17 

Beam candlepower: 

General 26 39 

Losses 28, 29 41, 42 

Binaural sense 6 3 

Binaural trainer: 

Ml 42 53 

M2 43 55 

Brush shifting motor 34 46 

Cam: 

Multiplying 82 34 

Sound lag time computing 22 32 

Candlepower : 

Beam 26 39 

Losses 28,29 41,42 

Comparator 39 51 

Comparator, mechanical (A. C.) 40 52 

Conical horn, M2 sound locator 7 5 

Contrast 24 36 

Control : 

Distant electric 32 43 

Extended hand 31 43 

Problem 4 2 

Searchlight 30 43 

Station 35 48 

Correction : 

Parallax 18 25 

Wind 17 24 

Decrease in illumination 25 37 

Delta sub x (g x ) 10 9 

Design, sound locator 7 5 

Distant electric control: 

Brush shifting, theory 34 46 

Direct, theory 33 44 

General 32 43 

Effect of focus on beam intensity 28 41 

Error : 

Pbrallax 13 12 

Wind 12 11 

Exponential horn 7 5 

Extended hand control 31 43 



57 



INDEX 



Paragraph Page 



Focus of beam 28 41 

High intensity arc 27 40 

Horn: 

Design 7 5 

Exponential 7 5 

Illumination : 

General 25 37 

Problem 2 1 

Indicator, miniature airplane course 16 17 

Instrument : 

Binaural trainer Ml 42 53 

Binaural trainer M2 43 55 

Intrinsic brilliancy of beam 26 39 

Location problem 3 1 

Losses of beam candlepower 28, 29 41, 42 



Miniature airplane course indicator 16 17 

Multiplying cam 22 32 

Noises, ambient 7 5 



Pantograph 14 13 

Parallax : 

Correction 18 25 

Error 13 12 

Phase detecting circuit 38 50 

Pick-up slant range 18 25 

Prediction mechanism for Ml acoustic corrector 21 29 

Searching 5 2 

Sight mechanism 15 15 

Sigma sub 1 (o x ) 10 9 

Slant range to point of pick-up 18 25 

Sound lag : 

Correction: 

Ml acoustic corrector 10, 20, 21 9, 29, 29 

M2 acoustic corrector 10, 20, 22 9, 29, 32 

M2 sound locator 10, 14, 15 9, 13, 15 

Drum 21 29 

General 10, 11 9, 10 

Time computing cam 22 32 

Sound location, theory 6 3 

Sound locator: 

Design 7 5 

Ml series 9 7 

M2 8 7 

Speed of sound 10 9 

Spread of beam 25 37 

Step-by-step receiver: 

Brush shifting 34 46 

Direct 33 44 

Step-by-step transmitter 33 44 



58 



INDEX 



Paragraph Page 

Theory : 

Distant electric control: 



Brush shifting 34 46 

Direct 33 44 

Phase detecting circuit 38 50 

Zero reader 36, 37 48,48 

Training motor 34 46 

Wind: 

Correction 17 24 

Error 12 11 

Zero reader 36-38 48-50 



o 



59