ABOUT CERTAIN CASES OF ABILITY OF EQUATIONS OF GYROSTAT MOTION TO BE INTEGRATED.
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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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.