Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 3, Issue 2


Published
on

July 1, 2018


Pages

339-352


DOI

Article

Calculation of line of site periods between two artificial satellites under the action air drag

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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

In a previous (herein referred to as Ammar, Amin and Hassan Paper [1]) the statement of the problem was formulated and the basic visibility function between two satellites in terms of the orbital elements and time were derived. In this paper the perturbing effect due to drag force on the visibility function were derived explicitly up to O(e4), by using Taylor’s expansion for the visibility function about certain epoch. We determine the rise and set times of the satellites through the sign of the visibility function. Numerical examples were worked out for some satellites in order to check the validity of the work.


Keywords

Visibility function, line of site, Air Drag force, rise and set times, 70F15


Citation

Ammar, M. K., Amin, M. R., & Hassan, M. (2018). Calculation of line of site periods between two artificial satellites under the action air drag. Applied Mathematics and Nonlinear Sciences, 3(2), 339–352. https://doi.org/10.21042/AMNS.2018.2.00027

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