About the non-existence of additional analytical integral in the problem of satellite's motion under the gravitational attraction of a triaxial rigid body

Details About the non-existence of additional analytical integral in the problem of satellite's motion under the gravitational attraction of a triaxial rigid body About the non-existence of additional analytical integral in the problem of satellite's motion under the gravitational attraction of a triaxial rigid body

Apr 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..29..323b&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 29, April 1983, p. 323-328.

Physics

Celestial Mechanics, Gravitational Effects, Jacobi Integral, Satellite Orbits, Angular Velocity, Celestial Bodies, Hamiltonian Functions, Natural Satellites, Orbit Perturbation, Rotating Bodies

Scientific paper

In this paper, Poincaré's method has been developed to prove the
non-existence of additional analytical integrals in the degeneration
case.

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