2018•Zenodo (CERN European Organization for Nuclear Research)Open access

Effects of Radiating Oblate Spheroid and Triaxial Rigid Body in the Restricted Three Body Problem

Shilpi Dewangan, Poonam Duggad

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Abstract

This paper deals with finding stationary solutions and periodic orbits of the planar restricted three body problem, when the smaller primary is a triaxial rigid body with one of the axes as the axis of symmetry and the bigger primary an oblate spheroidand the source of radiationwith equatorial plane of the primaries coinciding with the plane of the motion. It is further observed that the collinear points are unstable, while the triangular equilibrium points are stable for the range of mass parameter (the critical mass parameter). It is also observed that the triangular equilibrium points have long or short periodic elliptical orbits in the same range of µ

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This paper deals with finding stationary solutions and periodic orbits of the planar restricted three body problem, when the smaller primary is a triaxial rigid body with one of the axes as the axis of symmetry and the bigger primary an oblate spheroidand the source of radiationwith equatorial plane of the primaries coinciding with the plane of the motion. It is further observed that the collinear points are unstable, while the triangular equilibrium points are stable for the range of mass parameter (the critical mass parameter). It is also observed that the triangular equilibrium points have long or short periodic elliptical orbits in the same range of µ

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Available abstract

This paper deals with finding stationary solutions and periodic orbits of the planar restricted three body problem, when the smaller primary is a triaxial rigid body with one of the axes as the axis of symmetry and the bigger primary an oblate spheroidand the source of radiationwith equatorial plane of the primaries coinciding with the plane of the motion. It is further observed that the collinear points are unstable, while the triangular equilibrium points are stable for the range of mass parameter (the critical mass parameter). It is also observed that the triangular equilibrium points have long or short periodic elliptical orbits in the same range of µ

Key concepts: Spheroid, Oblate spheroid, Rigid body, Physics, Mechanics, Classical mechanics, Chemistry, In vitro

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