Open AccessLocation and stability of the triangular Lagrange points in photo-gravitational elliptic restricted three body problem with the more massive primary as an oblate spheroid
Author(s) -
A. Arantza Jency,
Ram Krishan Sharma
Publication year - 2019
Publication title -
international journal of advanced astronomy
Language(s) - English
Resource type - Journals
ISSN - 2312-7414
DOI - 10.14419/ijaa.v7i2.29814
Subject(s) - oblate spheroid , eccentricity (behavior) , lagrangian point , physics , stability (learning theory) , motion (physics) , three body problem , equations of motion , lagrangian , classical mechanics , limit (mathematics) , gravitation , mathematical analysis , mathematical physics , mathematics , machine learning , computer science , political science , law
The triangular Lagrangian points of the elliptic restricted three-body problem (ERTBP) with oblate and radiating more massive primary are studied. The mean motion equation used here is different from the ones employed in many studies on the perturbed ERTBP. The effect of oblateness on the mean motion equation varies. This change influences the location and stability of the triangular Lagrangian points. The points tend to shift in the y-direction. The influence of the oblateness on the critical mass ratio is also altered. But the eccentricity limit for stability remains the same.