Existence and Stability of Collinear Equilibrium Points in Elliptic Restricted Three Body Problem with Radiating Primary and Triaxial Secondary

Existence and Stability of Collinear Equilibrium Points in Elliptic Restricted Three Body Problem with Radiating Primary and Triaxial Secondary

Usha Tadepalli Narayan Ashutosh 

Department of Mathematics, Bhilai Institute of Technology, Chhattisgarh 490006, India

Corresponding Author Email: 
usha156@gmail.com
Page: 
1-8
|
DOI: 
https://doi.org/10.18280/mmc_a.910101
Received: 
3 August 2017
|
Accepted: 
20 December 2017
|
Published: 
31 March 2018
| Citation

OPEN ACCESS

Abstract: 

The present paper studies the motion of an infinitesimal mass around a stellar primary and triaxial secondary moving around each other in the elliptic orbits about their common center of mass in the neighbourhood of Collinear equilibrium points. The location and stability of the collinear points are found to be affected by the radiation pressure and triaxility parameters. The nature of stability, however, remains unchanged. The collinear points L1 and L2 are unstable in the Lyapunov sense. But, the collinear point L3 shows a stable behavior for small values of radiation and triaxiality parameters.

Keywords: 

celestial mechanics, collinear points, elliptical restricted three body problem, stability, oblateness, rigid body

1. Introduction
2. Equations of Motion
3. Location of Collinear Equilibrium Points
4. Linear Stability of Collinear Points
5. Conclusion
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