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Triaxial Primaries in Collinear Circular Perturbed 4-body Configuration

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Abstract

Analytical as well as numerical studies are presented for the motion properties of the smallest body under the influence of the triaxial primaries, the small perturbations in Coriolis and centrifugal forces in the collinear circular restricted four-body problem. The mean motion and equations of motion are determined under these influences. The collinear and non-collinear Lagrangian points are evaluated. After determining the Jacobian integral and with the use of energy constant, we illustrate the zero-velocity curves. Lastly, we examine the stability states for the Lagrangian points.

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ACKNOWLEDGMENTS

Authors thank the anonymous reviewer for giving us an opportunity to improve our paper up to this final stage.

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Authors and Affiliations

  1. Shivaji College, University of Delhi, Delhi, India

    Abdullah A. Ansari & S. K. Sahdev

  2. International Center for Advanced Interdisciplinary Research (ICAIR), Sangam Vihar, New Delhi, India

    Abdullah A. Ansari

Authors
  1. Abdullah A. Ansari
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  2. S. K. Sahdev
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Correspondence to Abdullah A. Ansari or S. K. Sahdev.

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Ansari, A.A., Sahdev, S.K. Triaxial Primaries in Collinear Circular Perturbed 4-body Configuration. Astron. Rep. 66, 1074–1081 (2022). https://doi.org/10.1134/S1063772922110026

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  • DOI: https://doi.org/10.1134/S1063772922110026

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