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

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

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..58..203n&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, vol. 58, no. 3, p. 203-213

Astronomy and Astrophysics

Astronomy

20

Libration, Librational Motion, Orbital Resonances (Celestial Mechanics), Three Body Problem, Nonlinear Systems, Systems Stability

Scientific paper

The stability of the triangular libration points in the case when the
first and the second order resonances appear was investigated. It was
proved that the first order resonances do not cause instability. The
second order resonances may lead to instability. Domains of the
instability in the two-dimensional parameter space were determined.

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