# Advances in Astrophysics

### The Linear Stability of Collinear Equilibrium Points and Resonances

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### Author(s)

**Ram Kishor**^{*}

Central University of Rajasthan, NH-8, Bandarsindari, Kishangarh-305817, Dist.-Ajmer (Rajasthan), India**Badam Singh Kushvah**

Department of Applied Mathematics, Indian School of Mines, Dhanbad 826004, Jharkhand, India

### Abstract

*L*which is stable for b ∈ (1.3312, 1.5275) provided that remaining parameters are fixed. Further, we obtain stability regions and perturbed mass ratio in the case of three main resonances for

_{3}*L*under appropriate approximations. We analyze the effect of the perturbations numerically and it is observed that they significantly affect the motion of infinitesimal mass. The results are limited up to the regular symmetric disc and the radiation effect of the bigger primary but further it can be extended for more generalized cases.

_{3}### Keywords

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