Open AccessEffect 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˚.