Stability of L4 for radiated rigid primaries in resonant cases

Details Stability of L4 for radiated rigid primaries in resonant cases Stability of L4 for radiated rigid primaries in resonant cases

Jul 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004p%26ss...52..747c&link_type=abstract

Planetary and Space Science, Volume 52, Issue 8, p. 747-760.

Physics

1

Restricted Three-Body Problem, Triaxial Rigid Body, Non-Linear Stability, Triangular Libration Points, Moser'S Theorem, Markeev'S Theorem

Scientific paper

The non-linear stability of the triangular libration point L4 of the restricted three-body problem is studied under the presence of third- and fourth-order resonances, when the more massive primary is a triaxial rigid body and source of radiation. In this study, Markeev's theorems are applied with the help of Moser's theorem. It is found that the stability of the triangular libration point is unstable in the third-order resonance case and in the fourth-order resonance case, this is stable or unstable depending on A1 and A2, and a source of radiation parameter α, where A1, A2 depend upon the lengths of the semi-axes of the triaxial rigid body.

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