Accession Number : AD0602554

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

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Sretenskii,L. N.

Report Date : 10 FEB 1964

Pagination or Media Count : 10

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.

Descriptors :   (*GYRO STABILIZERS, DYNAMICS), (*DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), FUNCTIONS(MATHEMATICS), INTEGRALS, EQUATIONS, MOTION, MOMENTUM, ROTATION, MOMENT OF INERTIA, GRAVITY, GYROSCOPES, USSR

Distribution Statement : APPROVED FOR PUBLIC RELEASE