EXISTENCE AND STABILITY OF TRIANGULAR EQUILIBRIUM POINTS IN THE ER3BP WITH OBLATE, RADIATING AND TRIAXIAL PRIMARIES

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Published: 2017-03-17

Page: 7-22


RUPA RANI DEWANGAN *

Department of Mathematics, Bhilai Institute of Technology, Durg, Chhattisgarh, 491001, India.

T. USHA

Department of Mathematics, Bhilai Institute of Technology, Durg, Chhattisgarh, 491001, India.

A. NARAYAN

Department of Mathematics, Bhilai Institute of Technology, Durg, Chhattisgarh, 491001, India.

*Author to whom correspondence should be addressed.


Abstract

The present paper investigates the motion and stability of infinitesimal mass around the triangular equilibrium points in the ER3BP, assuming bigger primary an oblate and radiating source and the smaller one a triaxial rigid body. An application of this model could be the study of motion of the satellite under the effect of oblateness of Sun and triaxiality of Earth. The linear stability of the system has been analysed.It has been found that the system is stable for any value of radiating pressure, oblateness and triaxiality.

Keywords: Restricted three body problem, oblateness, triaxiality, elliptic restricted three body problem


How to Cite

DEWANGAN, R. R., USHA, T., & NARAYAN, A. (2017). EXISTENCE AND STABILITY OF TRIANGULAR EQUILIBRIUM POINTS IN THE ER3BP WITH OBLATE, RADIATING AND TRIAXIAL PRIMARIES. Journal of Applied Physical Science International, 8(1), 7–22. Retrieved from https://ikprress.org/index.php/JAPSI/article/view/2906

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