Title: The elliptical restricted three body problem: Study on effects of triaxiality of primaries with oblate infinitesimal in the elliptical restricted three body problem
Publisher: Scholars' Press
Publication Date: 2025
Language: English
ISBN 10: 3639717783
ISBN 13: 9783639717785
Binding: Soft cover
Condition: New

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Synopsis

Restricted three body problem is used to study the behavior of spacecraft, asteroids, and moons in systems like the Earth-Moon-Sun, Jupiter's moons etc. The present book deals with the problem of finding the existence and stability of the equilibrium points in the Elliptical restricted 3-body problem. It also helps in analyzing Lagrange points, which are positions in the orbital plane of the two massive bodies where the third body can maintain a stable position. Resonances play a critical role in understanding the long-term evolution of orbits in celestial mechanics. The linear and non-linear stability has been studied for 3rd and 4th order resonance.

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