Effect of elliptic angle φ on the existence and stability of libration points in restricted three-body problem in earth-moon system considering earth as an ellipsoid | Zendy

M. Javed Idrisi | Zendy; Muhammad Amjad | Zendy

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Effect of elliptic angle φ on the existence and stability of libration points in restricted three-body problem in earth-moon system considering earth as an ellipsoid

Author(s) -

M. Javed Idrisi,

Muhammad Amjad

Publication year - 2015

Publication title -

international journal of advanced astronomy

Language(s) - English

Resource type - Journals

ISSN - 2312-7414

DOI - 10.14419/ijaa.v3i2.5313

Subject(s) - libration (molecule) , lagrangian point , ellipsoid , physics , three body problem , point (geometry) , stability (learning theory) , interval (graph theory) , mathematics , mathematical analysis , geometry , classical mechanics , combinatorics , computer science , machine learning , astronomy

This paper deals with the existence and the stability of the earth-moon libration points in the restricted three-body problem. In this paper we have considered the bigger primary as an ellipsoid while the smaller one as a point-mass. This is observed that the collinear and non-collinear libration points exist only in the interval 0˚< φ < 45˚. There exist three collinear libration points and the non-collinear libration points are forming a right triangle with the primaries. Further observed that the libration points either collinear or non-collinear all are unstable in 0˚< φ < 45˚.

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