Theoretical investigation of the perturbed artificial satellite problem using oblate continued fraction potential

Autor: S. E. Abd El-Bar
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Taibah University for Science, Vol 15, Iss 1, Pp 17-25 (2021)
Druh dokumentu: article
ISSN: 1658-3655
16583655
DOI: 10.1080/16583655.2021.1872208
Popis: In this research article, a new idea concerning the application of concept of the continued fractions to the expansion of the geopotential is treated. The perturbed motion of the satellite in the oblate gravitational field of the Earth using a potential of a continued fractions procedure is studied. To compare with the usual perturbation theory, the continued fraction series is truncated beyond the third term. The first oblateness term of the potential is retained. The equations of motion are constructed using the Lagrange planetary equations. The integrals and averages required for solving the problem is outlined as well as the different cases are highlighted. The perturbations in all orbital elements due to considered model of continued fractions are evaluated. The new findings of the manuscript contrast with classical oblate potential field, the semi-major axis, eccentricity, and inclination, nonzero averaged terms in perturbations are obtained. Extra nonzero averaged perturbing terms in the argument of perigee and ascending node are revealed in addition to the classical perturbations.
Databáze: Directory of Open Access Journals
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