Article
Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body
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Abstract
In this paper, we have studied the equations of motion for the problem, which are regularised in the neighbourhood of one of the finite masses and the existence of periodic orbits in a three-dimensional coordinate system when μ = 0. Finally, it establishes the canonical set (l, L, g, G, h, H) and forms the basic general perturbation theory for the problem.
Keywords
restricted three problem, Levi-Civita transformation, periodic orbits, triaxial rigid body, 70F15
Citation
Poddar, A. K. & Sharma, D. (2020). Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body. Applied Mathematics and Nonlinear Sciences, 5(2), 429–438. https://doi.org/10.2478/amns.2020.2.00076
A. K. Poddar and D. Sharma, “Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, pp. 429–438, 2020, doi: 10.2478/amns.2020.2.00076.
Poddar AK, Sharma D. Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body. Applied Mathematics and Nonlinear Sciences. 2020;5(2):429–438. doi:10.2478/amns.2020.2.00076.
Poddar, A. K. and Sharma, D. (2020), ‘Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body’, Applied Mathematics and Nonlinear Sciences, 5(2), pp. 429–438. Available at: https://doi.org/10.2478/amns.2020.2.00076.
Poddar, Awadhesh Kumar, and Divyanshi Sharma. “Periodic Orbits in the Restricted Problem of Three Bodies in a Three-dimensional Coordinate System When the Smaller Primary Is a Triaxial Rigid Body.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, 2020, pp. 429–438. https://doi.org/10.2478/amns.2020.2.00076.
Poddar, Awadhesh Kumar, and Divyanshi Sharma. “Periodic Orbits in the Restricted Problem of Three Bodies in a Three-dimensional Coordinate System When the Smaller Primary Is a Triaxial Rigid Body.” Applied Mathematics and Nonlinear Sciences 5, no. 2 (2020): 429–438. https://doi.org/10.2478/amns.2020.2.00076.
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