The periodic solution of a rigid body in a central Newtonian field

Details The periodic solution of a rigid body in a central Newtonian field The periodic solution of a rigid body in a central Newtonian field

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.162..235e&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 162, no. 2, Dec. 1989, p. 235-242.

Astronomy and Astrophysics

Astrophysics

1

Equations Of Motion, Gravitational Fields, Liapunov Functions, Newton Theory, Rigid Structures, Analytic Functions, Center Of Mass, Poincare Spheres

Scientific paper

The equations of motion of a rigid body about a fixed point in a central Newtonian field are reduced to the equation of plane motion under the action of potential and gyroscopic forces, using the isothermal coordinates on the inertia ellipsoid. The construction of periodic solutions nearby equilibrium points are obtained, using the Liapunov theorem of holomorphic integral, and the necessary and sufficient conditions for the stability of the system are given.

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