ABOUT CERTAIN CASES OF ABILITY OF EQUATIONS OF GYROSTAT MOTION TO BE INTEGRATED.

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Abstract:

A heavy solid body, secured at one point was considered. It was assumed that with this body is connected a certain axis, around which can revolve a uniform flywheel. Taking the designation usual in solid body dynamics and designating by lambda, mu, and nu the projections of the angular momentum of the flywheel on a moving axis, an equation of motion for the considered solid gyrostat was written. Two particular cases of integrationability of these equations are indicated. The first case is connected with a Goryachev Chaplygin gyroscope, the second-with the Appelrot case.

Author(s):
Sretenskii, L. N.
Author Organization(s):
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
Supplementary Note:
Edited machine trans. of A kademiya N auk SSSR. Doklady, 1963, v. 149, no. 2, p. 292-294.
Annotation:
Translation of Russian research: About certain cases of ability of equations of gyrostat motion to be integrated.
Pagination:
0010

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
FTD-MT-63/230
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*GYRO STABILIZERS, DYNAMICS), (*DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), FUNCTIONS(MATHEMATICS), INTEGRALS, EQUATIONS, MOTION, MOMENTUM, ROTATION, MOMENT OF INERTIA, GRAVITY, GYROSCOPES, USSR
Report Date:
1964 Feb 10