Nonlinear Stability Analysis of Elliptical restricted three body problem | Stability Of The Oblate Infinitesimal In The Elliptical Restricted Three Body Problem With Oblate Radiating Primaries

Publisher

Scholars' Press

Publication Date

2020

Language

English

ISBN 10

6138926021

ISBN 13

9786138926023

Binding

Taschenbuch

Condition

Neu

Dimensions

Weight

334 grams

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Synopsis

The elliptical restricted three body problem describes the motion of a particle called third body (infinitesimal mass) under the gravitational attraction forces of two finite bodies, called the primaries, which revolve on the elliptic orbits in a plane around their common center of mass. In the restricted problems, the motion of two finite bodies (called primaries) satisfies the differential equation governing the dynamics of two body problem. Hence, the primaries may describe in circular, elliptical, parabolic or hyperbolic orbits. In the case when the primaries move along a circular orbit, then it is called circular restricted three body problem and if the primaries move on the elliptic orbit, then it is called, Elliptical restricted three body problems. The restricted problem of these bodies (circular or elliptical) is widely application in space Dynamics, Celestial Mechanics, Cosmology and Stellar dynamics.

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