ABOUT CERTAIN CASES OF ABILITY OF EQUATIONS OF GYROSTAT MOTION TO BE INTEGRATED.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 10, 1964
- Accession Number
- AD0602554
Entities
People
- L. N. Sretenskii
Organizations
- National Air and Space Intelligence Center