Non-integrability of the problem of motion around an oblate planet

Details Non-integrability of the problem of motion around an oblate planet Non-integrability of the problem of motion around an oblate planet

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..61..253c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 61, no. 3, p. 253-260

Mathematics

Dynamical Systems

3

Celestial Mechanics, Chaos, Equations Of Motion, Gravitational Effects, Hamiltonian Functions, Oblate Spheroids, Dynamical Systems, Eigenvalues, Gravitational Fields, Matrices (Mathematics), Schroedinger Equation

Scientific paper

We provide a result of non-analytic integrability of the so-called
J2 problem. Precisely by using the Lerman theorem we are able
to prove the existence of a region of the phase space, where the
dynamical system exhibits chaotic motions.

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