Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..52..277m&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 52, no. 3, 1991, p. 277-291.
Astronomy and Astrophysics
Astronomy
Hill Method, Hyperspaces, Variational Principles, Gauss Equation, Hamiltonian Functions, Liapunov Functions
Scientific paper
The variational equation of the periodic solution in an homogeneous potential of degree 2m leads to a family of Hill's equations. Yoshida (1986, 1987) solves these equations by a transformation to the Gauss equation of hypergeometric functions. This family is studied directly for complex t, and in the case m = 2, a detailed description of critical solutions is given.
Makhlouf Amar
Nahon Fernand
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