Mathematical analysis of orbital mechanics with perturbation methods
M. Anijianijim@srmist.edu.inDepartment of Mathematics and StatisticsFaculty of Science and HumanitiesSRM Institute of Science and TechnologyKattankulathur, Tamil Nadu, 603202, IndiaView full profile → , *Budigi PrabhakarCorresponding authorbudigi.prabhakar@niu.edu.inDepartment of PhysicsNoida International UniversityNoida, Uttar Pradesh, 203201, IndiaView full profile → , Anjali Nairanjalikavungal566@gmail.comDepartment of MathematicsPimpri-ChinchwadDr. D. Y. Patil Institute of TechnologyPune, Maharashtra, 411018, IndiaView full profile → , Prashant Aneraoprashant.anerao@vit.eduDepartment of Mechanical EngineeringVishwakarma Institute of TechnologyPune, Maharashtra, 411037, IndiaView full profile → , R. G. Biradarramdas.biradar@pcu.edu.inSchool of Engineering & TechnologyPCET’s Pimpri Chinchwad University PunePune, Maharashtra, 412106, IndiaView full profile → , M. Purnachandra Raopurnachandrarao@gmail.comDepartment of Information TechnologyKKR and KSR Institute of Technology and SciencesGuntur, Andhra Pradesh, 522017, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Dec 2024
- Published Online:
- 30 Sep 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2356
- Pages:
- 2151–2159
Abstract
Keywords
Subject Classifications
References
[1] M. Lara, “On perturbation solutions in the restricted three-body problem dynamics,” Acta Astronautica, vol. 195, pp. 596-604 (2022), doi: 10.1016/j.actaastro.2022.01.022.
[2] A. E. Owoyemi, I. M. Sulaiman, P. Kumar, V. Govindaraj, and M. Mamat, “Some novel mathematical analysis on the fractional-order 2019-ncov dynamical model,” Math. Methods Appl. Sci., vol. 46, pp. 4466-4474 (2023).
[3] A. Celletti and T. Vartolomei, “Old perturbative methods for a new problem in Celestial Mechanics: the space debris dynamics,” Boll. Unione Mat. Ital., vol. 16, pp. 411-428 (2023), doi: 10.1007/s40574-023-00347-x.
[4] P. Phaochoo, C. Wisseksakwichai, N. Thongpool, S. Chankong, and K. Promluang, “Application of fractional derivative for the study of chemical reaction,” Int. J. Intell. Netw., vol. 13, pp. 2245 (2023).
[5] R. Kumar, V. Gupta, V. Pathania, and M. S. Barak, “Response of memory to the imperfect fluid–double porous non–local thermoelastic solid interface,” J. Inf. Optim. Sci., vol. 46, no. 5, pp. 1479-1503 (2025), doi: 10.47974/JIOS-1608.
[6] X. Li and N. Sun, “Comments for ‘fractional liu uncertain differential equation and its application to finance’,” Chaos Solitons Fractals, vol. 175, pp. 113923 (2023).
[7] F. Li, “Incorporating fractional operators into interaction dynamics of a chaotic biological model,” Results Phys., vol. 54, pp. 107052 (2023).
[8] A. T. Ibraimova, M. Z. Minglibayev, and A. N. Prokopenya, “Study of secular perturbations in the restricted three-body problem of variable masses using computer algebra,” Comput. Math. Math. Phys., vol. 63, pp. 115-125 (2023).
[9] S. Kothawade and I. Zellar, “An Intelligent Ride-Sharing Algorithm with Integrated Advertising Exposure for Enhanced MaaS Efficiency”, Int Journal Adv Comp Theory Engg, vol. 14, no. 1, pp. 38–42 (Apr. 2025).
[10] A. B. Albidah, A. A. Ansari, and R. Kellil, “Interaction of bodies in the circular restricted 3-body problem with variable mass,” Astron. Comput., vol. 42, pp. 100688 (2023).
[11] E. I. Abouelmagd, A. A. Ansari, and M. Shehata, “On Robe’s restricted problem with a modified Newtonian potential,” Int. J. Geom. Methods Mod. Phys., vol. 18, pp. 2150005 (2021).
