Triangular Equilibria in R3BP under the Consideration of Yukawa Correction to Newtonian Potential

M. Javed Idrisi, Teklehaimanot Eshetie, Tenaw Tilahun and Mitiku Kerebh

Journal of Applied Mathematics, 2022, vol. 2022, issue 1

Abstract: We study the triangular equilibrium points in the framework of Yukawa correction to Newtonian potential in the circular restricted three‐body problem. The effects of α and λ on the mean‐motion of the primaries and on the existence and stability of triangular equilibrium points are analyzed, where α ∈ (−1, 1) is the coupling constant of Yukawa force to gravitational force, and λ ∈ (0, ∞) is the range of Yukawa force. It is observed that as λ⟶∞, the mean‐motion of the primaries n⟶(1 + α)1/2 and as λ⟶0, n⟶1. Further, it is observed that the mean‐motion is unity, i.e., n = 1 for α = 0, n > 1 if α > 0 and n

Date: 2022
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https://doi.org/10.1155/2022/4072418

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2022:y:2022:i:1:n:4072418

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