<abstract xmlns="http://www.w3.org/1999/xhtml">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 <italic>e</italic>4. The line-of-sight corrected for Earth Oblateness up to <italic>J</italic>2, 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.</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.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper presents an analytical method to determine the rise-set times of satellite-satellite visibility periods in different orbits. The Visibility function...

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

Published Online: Jul 05, 2018

Page range: 353 - 374

Received: Feb 06, 2018

Accepted: Jul 05, 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00028

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

© 2018 M. K. Ammar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jul 05, 2018

Page range: 353 - 374

Received: Feb 06, 2018

Accepted: Jul 05, 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00028

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

© 2018 M. K. Ammar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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