Calculation of line of site periods between two artificial satellites under the action air drag-Reference-Cited by-同舟云学术

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

Published:2018-07-01 Issue:2 Volume:3 Page:339-352
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Ammar M. K.¹,Amin M. R.²,Hassan M.H.M.¹

Affiliation:

1. Department of Mathematics, Faculty of Science , Helwan University , Cairo , Egypt

2. Theoretical Physics, Dept. National Research Center , Giza , Egypt

Abstract

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(e 4), 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.21042/AMNS.2018.2.00027

Reference9 articles.

1. M. K. Ammar, M. R. Amin, M.H.M. Hassan, (2018) "Visibility Intervals between Two Artificial Satellites Under the action of Earth Oblateness", "Applied Mathematics and Nonlinear Sciences", Acceptted.

2. Escobal,P.R.(1963) "Rise and set Times of a Satellite about an Oblate Planet," AIAA Journal Vol. I, No. 10, October, pp. 2306-2310.

3. Escobal,P.R.(1965), "Methods of orbit determination, Robert E. Krieger Publishing Company, Huntington, New York, pp. 26-29 and 360 - 369.

4. Lawton, J. A.(1987), "Numerical Method for Rapidly Determining Satellite - Satellite and Satellite-Ground Station In - View Periods, " Journal of guidance, Navigation, and Control, vol. 10, January-February, pp. 32-36.

5. Salvatore Alfano , David Negron, Jr., and Jennifer L. Moore (1992), "Rapid Determination of Satellite Visibility Periods", The Journal of the Astronautical Sciences, Vol.40, No.2, April-June, pp.281-296.

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