First order stability test of equilibrium points in the planar elliptic restricted four body problem with radiating primaries

Poonam Meena and Ram Kishor

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: This paper presents a rigorous analysis of existence of equilibrium points and corresponding their first order stability test in the planar elliptic restricted four body problem under the influence of radiation pressure forces due to radiating primaries. In the presence of radiation pressure of the radiating primaries, a considerable variations in position co-ordinates of the equilibrium points and in their stability ranges have seen. Also, the existence of equilibrium points with respect to the values of eccentricity e and true anomaly f in their respective ranges have analysed and it is found that number of equilibrium points reduces with the increasing value of eccentricity within the range 0Keywords: Planar elliptic restricted four body problem; First order stability property; Equilibrium point; Radiation pressure force (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004926

DOI: 10.1016/j.chaos.2021.111138

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