Semi-Analytical Technique to Study The Dynamics Of Low Earth Satellites Under Gravitational Perturbations Using Universal Variables

Authors

A. B. Yassen, Space Science Department, Faculty of Navigation Science and Space Technology (NSST), Beni-Suef University, Beni-Suef, EgyptFollow
A. H. Ibrahim, Astronomy and Meteorology Department, Faculty of Science, Al-Azhar University, EgyptFollow
M. Radwan, Astronomy and Space Science Department, Faculty of Science, Cairo University, EgyptFollow
W. N. Ahmed, Applied Mathematics Department, National Research Centre (NRC), EgyptFollow

Author Country (or Countries)

Egypt

Abstract

Low-altitude Earth orbits provide important benefits for space missions. Among these benefits are the high-resolution images and resupply. In the present work, we studied the dynamics of Earth satellites that move in low orbits. The force model comprises the gravitational resonance 13:1, besides the Earth’s gravitational potential up to the second degree and order. In order to avoid the appearance of singularities, the quasi-Hamiltonian equations of motion are formulated in terms of non-singular universal variables instead of Delaunay variables. We integrated numerically the equations of motion and performed some numerical simulations. It is found that the variations in eccentricity and inclination are small. In addition, we studied the effect of gravitational resonance 13:1 on the dynamics using Lagrange planetary equations. It is found that the effect of the gravitational resonance 13:1 in low Earth orbits is about tens of meters.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170202

Recommended Citation

B. Yassen, A.; H. Ibrahim, A.; Radwan, M.; and N. Ahmed, W. (2023) "Semi-Analytical Technique to Study The Dynamics Of Low Earth Satellites Under Gravitational Perturbations Using Universal Variables," Applied Mathematics & Information Sciences: Vol. 17: Iss. 2, Article 2.
DOI: http://dx.doi.org/10.18576/amis/170202
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss2/2