About stability of libration points in the restricted photogravitational three body problem

Details About stability of libration points in the restricted photogravitational three body problem About stability of libration points in the restricted photogravitational three body problem

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..52..195g&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 52, no. 2, 1991, p. 195-201. Research supported by University

Astronomy and Astrophysics

Astronomy

7

Gravitational Effects, Libration, Three Body Problem, Hamiltonian Functions, Nonlinear Systems, Orbital Resonances (Celestial Mechanics)

Scientific paper

The analysis focuses on the nonlinear stability of the triangular libration point for all parameters to compare the results with previous work. A method is developed which can treat the problems in which stability cannot be characterized by the four-parameter family of Hamiltonian systems. The function D4 as described by Kumar and Choudhry (1987) is contradicted because for any value of the parameter mu there exists a curve on a plane for which D4 is equal to zero.

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