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

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  • M. Javed Idrisi
  • Teklehaimanot Eshetie
  • Tenaw Tilahun
  • Mitiku Kerebh

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

Suggested Citation

  • M. Javed Idrisi & Teklehaimanot Eshetie & Tenaw Tilahun & Mitiku Kerebh, 2022. "Triangular Equilibria in R3BP under the Consideration of Yukawa Correction to Newtonian Potential," Journal of Applied Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnljam:v:2022:y:2022:i:1:n:4072418
    DOI: 10.1155/2022/4072418
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