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

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  • Meena, Poonam
  • Kishor, Ram

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 0

Suggested Citation

  • Meena, Poonam & Kishor, Ram, 2021. "First order stability test of equilibrium points in the planar elliptic restricted four body problem with radiating primaries," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004926
    DOI: 10.1016/j.chaos.2021.111138
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    References listed on IDEAS

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    1. Suraj, Md Sanam & Aggarwal, Rajiv & Mittal, Amit & Meena, Om Prakash & Asique, Md Chand, 2020. "On the spatial collinear restricted four-body problem with non-spherical primaries," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    2. Martha à lvarez-Ramírez & Claudio Vidal, 2009. "Dynamical Aspects of an Equilateral Restricted Four-Body Problem," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-23, March.
    3. Suraj, Md Sanam & Aggarwal, Rajiv & Asique, Md Chand & Mittal, Amit, 2020. "The effect of radiation pressure on the basins of convergence in the restricted four-body problem," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
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    2. Sergey Ershkov & Dmytro Leshchenko & E. Yu. Prosviryakov & Elbaz I. Abouelmagd, 2023. "Finite-Sized Orbiter’s Motion around the Natural Moons of Planets with Slow-Variable Eccentricity of Their Orbit in ER3BP," Mathematics, MDPI, vol. 11(14), pages 1-17, July.

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