Elimination of the nodes when the satellite is a non spherical rigid body

Details Elimination of the nodes when the satellite is a non spherical rigid body Elimination of the nodes when the satellite is a non spherical rigid body

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..46..307f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 46, no. 4, 1989, p. 307-320.

Mathematics

Dynamical Systems

4

Dynamical Systems, Gravitational Fields, Rigid Structures, Satellite Rotation, Spacecraft Motion, Analytic Functions, Angular Momentum, Canonical Forms, Degrees Of Freedom, Equations Of Motion

Scientific paper

A triaxial rigid body moves in the field of a Newtonian attraction caused by a mass point. The system has six degrees of freedom. A canonical transformation to reduce the degrees of freedom to four is proposed. The transformation obtained is a change of variables in the phase space; therefore, it is independent of the dynamics of the problem and valid for the description of the general motion of a rigid body without restrictions. As an illustration, an approximate analytical integration of the motion of a quasi-spherical triaxial rigid body in orbit around an attracting center is carried out.

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