Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 3, Issue 2


Published
on

July 5, 2018


Pages

353-374


DOI

Article

Visibility intervals between two artificial satellites under the action of Earth oblateness

Check for updates


Authors

M. K. Ammar Affiliation:
Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt
, M. R. Amin Affiliation:
Theoretical Physics, Dept. National Research Center - Giza, Egypt
and M.H.M. Hassan Affiliation:
Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt


Abstract

This paper presents an analytical method to determine the rise-set times of satellite-satellite visibility periods in different orbits. The Visibility function in terms of the orbital elements of the two satellites versus the time were derived explicitly up to e4. The line-of-sight corrected for Earth Oblateness up to J2, were considered as a perturbation to the orbital elements. The visibility intervals of the satellites were calculated for some numerical examples in order to test the results of the analytical work.


Keywords

Visibility function, line of site, Earth Oblateness, Rise and Set times


Citation

Ammar, M. K., Amin, M. R., & Hassan, M. (2018). Visibility intervals between two artificial satellites under the action of earth oblateness. Applied Mathematics and Nonlinear Sciences, 3(2), 353–374. https://doi.org/10.21042/AMNS.2018.2.00028

Published by: Engineering Journals

Engineering Journals Logo