Nonlinear stability of the triangular libration points for the photo gravitational elliptic restricted problem of three bodies

DOI10.1007/BF00049387zbMath1375.70030MaRDI QIDQ1685322

Vijay Kumar, R. K. Choudhry

Publication date: 13 December 2017

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

nonlinear stabilitylibration pointrestricted problemtriangular libration pointelliptic restricted problem

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Hamilton's equations (70H05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (8)

The libration points in photogravitational restricted three-body problem ⋮ Pulsating different curves of zero velocity around triangular equilibrium points in elliptical restricted three-body problem ⋮ Unnamed Item ⋮ On the stability of triangular points in the elliptic R3BP under radiating and oblate primaries ⋮ Characteristics exponents of the triangular solutions in the elliptical restricted three-body problem under radiating primaries ⋮ Unnamed Item ⋮ Effect of oblateness of an artificial satellite on the orbits around the triangular points of the Earth-Moon system in the axisymmetric ER3BP ⋮ Solar sail periodic orbits in the elliptic restricted three-body problem

Cites Work

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• On the stability of triangular libration points taking into account the light pressure for the circular restricted problem of three bodies
• On the stability of the triangular libration points for the photogravitational circular restricted problem of three bodies when both of the attracting bodies are radiating as well

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