(R2138) Analytical Approaches to Integral Equations in the Dynamics of the Oblate Spheroidal: Earth-Sun-Satellite System

Authors

• Kumari Ranjana, Netaji Subhas University of Technology, India
• M. Shahbaz Ullah, Netaji Subhas University of Technology, India
• M. Javed Idrisi, School of Sciences Manav Rachna University, India

Abstract

The deployment of artificial satellites in different gravitational environments has significantly impacted space exploration. We have introduced the study of artificial satellites under the influence of gravitational forces from oblate spheroids. To confront complex obstacles the myriads of both numerical and analytical techniques have been formulated. Among these methods, a new approach involving the integration of integral equations has been introduced. This innovative approach has been applied to study the trajectories of artificial satellites as they navigate the gravitational influence of oblate spheroids. Suitable kernels have been carefully chosen to solve the integral equations. The solutions have been found and analyzed for convergence and uniqueness. The study includes precise computations to quantify the errors associated with terminating approximations at the n^th stage.

Recommended Citation

Ranjana, Kumari; Ullah, M. Shahbaz; and Idrisi, M. Javed (2025). (R2138) Analytical Approaches to Integral Equations in the Dynamics of the Oblate Spheroidal: Earth-Sun-Satellite System, Applications and Applied Mathematics: An International Journal (AAM), Vol. 21, Iss. 1, Article 16.
Available at: https://digitalcommons.pvamu.edu/aam/vol21/iss1/16