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Radar System Engineering

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SEC. 9.17] STABILIZATION OF THE BEAM 309<br />

which the seamer has two degrees of freedom, correspondhg to the train<br />

(azimuth) and elevation axes. In shipborne radar it has become evident<br />

that for certain applications a third axis should be added to ensure a true<br />

and undistorted display of the radar signals. The nature of these distortions<br />

will be clear from the following considerations. When a ship<br />

and its two-axis antenna mount are rolled to the right and the elevation<br />

axis momentarily set athwartship<br />

so that the antenna is looking forward,<br />

z<br />

if the elevation angle of the M<br />

beam is varied the beam thereupon<br />

describes on the sky the arc of a<br />

great circle which is not vertical<br />

but which is inclined toward the<br />

right. All airplanes detected on<br />

this arc will be indicated as dead<br />

ahead, since the train axis is oriented<br />

to this position. This indication<br />

is of course false, and the<br />

two-axis mount therefore imperfect<br />

in principle.<br />

FIG. 9.36.—Deck-tilt error. The arc HB,<br />

The computer described below<br />

which is the bearing of the beam, is greater<br />

than the arc HA, which is the bearing as indicated<br />

if deck-tilt error is not compensated<br />

provides correction for distortion<br />

MBA represents a meridian on a sphere.<br />

of this type. Such correction is,<br />

however, inapplicable if the radiation is a vertically fanned beam or a<br />

pencil beam which must oscillate rapidly in a vertical plane.<br />

The inadequacy of two-axis ship antenna mounts for certain applications<br />

can be corrected by the addition of a third degree of freedom, corresponding<br />

to the cross-level axis. This axis is supported by the train<br />

axis and is set parallel to the deck; the elevation axis is mounted on it at a<br />

right angle. By means of this new degree of freedom a servomechanism<br />

holds the elevation axis level in respect to the horizon. The axes of this<br />

three-axis mount are commonly designated as the “train,” “cross-level,”<br />

and “level” axes. A mount of this type affords freedom from the distortion<br />

of the dkplay occurring when a two-axis mount is used. It has<br />

the added virtue that it can follow moving targets above 45°, which with<br />

a two-axis mount would require impracticably great servo rates. Weight<br />

considerations have prevented the development of three-axis scanners<br />

for airborne use.<br />

We have mentioned a distortion in the display of an elevated target<br />

observed from a rocking ship. A closely related distortion in bearing is<br />

present even for surface targets: the deck-tilt error. Its origin is made<br />

clear by an example, Fig. 9.36, which represents a ship heading north<br />

toward the reader, listing to starboard. The circle represents a large

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