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References
Tremaine, S.: The statistical mechanics of planet orbits. Astrophys. J. 807, 157 (2015). https://doi.org/10.1088/0004-637X/807/2/157
Scantamburlo, E., Guzzo, M.: Short-period effects of the planetary perturbations on the Sun-Earth Lagrangian point L\({ }_{3}\). Planetary perturbations of the Sun-Earth L\({ }_{3}\). Astron. Astrophys. 638, A137 (2020)
Celletti, A.: Perturbation Theory in Celestial Mechanics. Encyclopedia of Complexity and System Science, pp. 6673–6686 (2009)
Cavallari, I., Efthymiopoulos, C.: Closed form perturbation theory in the restricted three-body problem without relegation. Celest. Mech. Dyn. Astron. 134, A16 (2022)
Boscaggin, A., Dambrosio, W., Feltrin, G.: Periodic perturbations of central force problems and an application to a restricted 3-body problem. arXiv:2110.11635 [math.DS]
Kryloff, N., Bogoliuboff, N.: Introduction to Non-Linear Mechanics. Princeton University Press, Princeton (1947)
Strogatz, S.H.: Non Linear Dynamics and Chaos. Perseus Books (1994)
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Pradhan, R., Bhattacharya, T., Bhattacharjee, J.K. (2024). A Perturbation Theory for the Shape of Central Force Orbits. In: Lacarbonara, W. (eds) Advances in Nonlinear Dynamics, Volume I. ICNDA 2023. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-031-50631-4_13
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