On the stability of the Lagrangian solutions of the elliptic restricted three-body problem

Details On the stability of the Lagrangian solutions of the elliptic restricted three-body problem On the stability of the Lagrangian solutions of the elliptic restricted three-body problem

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980pazh....6..442i&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 6, July 1980, p. 442-448.) Soviet Astronomy Letters, vol. 6, July-Aug. 1980, p. 245-248

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Elliptic Differential Equations, Lagrangian Equilibrium Points, Systems Stability, Three Body Problem, Equations Of Motion, Hamiltonian Functions, Nonlinear Equations, Numerical Integration

Scientific paper

The question concerning the stability of the Lagrangian solutions of the
elliptic restricted problem of three bodies is treated. The question of
stability is solved for values of the parameters corresponding to the
boundaries of the stability domains of the linearized system. The
solution is in a nonlinear formulation.

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