About the periodic solutions of a rigid body in a central Newtonian field

Details About the periodic solutions of a rigid body in a central Newtonian field About the periodic solutions of a rigid body in a central Newtonian field

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..55..323e&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 55, no. 4, p. 323-330.

Astronomy and Astrophysics

Astronomy

Center Of Mass, Gravitational Fields, Moments Of Inertia, Orbits, Rigid Structures, Differential Equations, Jacobi Integral, Lagrangian Function, Liapunov Functions, Motion Stability

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 near the equilibrium points, by using the Liapunov theorem of holomorphic integral, is obtained and the necessary and sufficient conditions for the stability of the system are given.

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