Beta
196566

A semi-analytical solution for the motion of a low altitude Earth satellite under J2-gravity and air drag perturbations

Article

Last updated: 03 Jan 2025

Subjects

-

Tags

Astronomy

Abstract

This paper is dealt with the zonal harmonics up to J4 and atmospheric drag effects on the orbital elements of low satellite. There are many techniques to treat this problem as analytical and numerical techniques. The solution can be obtained by using two methods which are Cowell's Method and Average Method. We used average method as analytical method and applied Lagrange planetary equation to obtain the variation on the orbital elements. Cowell's method was applied to estimating the perturbation because it is the most straight advancing method and correct. The atmospheric model drives in reckoning change of the density scale height with altitude. This study used the data of TLE of the International Space Station (ISS) to compare analytical method (average method) and numerical method Cowell's method. A program code MATHEMATICA Language is constructing to treat the solutions (ISS). We find the good comparing between final TLE and Cowell's Method more acceptable.

DOI

10.21608/absb.2021.67580.1106

Keywords

atmospheric drag, Oblate Earth, Cowell’s Method, Average Method, Low Earth Orbit (LEO)

Authors

First Name

hussein

Last Name

Embaby

MiddleName

-

Affiliation

Astronomy, Faculty of Science, Al-Azhar University, Cairo.

Email

husseinahmedembaby@yahoo.com

City

-

Orcid

-

First Name

Ahmed

Last Name

Ibrahim

MiddleName

-

Affiliation

Astronomy ,Faculty of Science, Al-Azhar University, Cairo .

Email

ahmed_hafez@azhar.edu.eg

City

-

Orcid

-

First Name

inal

Last Name

hassan

MiddleName

adhame

Affiliation

astronomy dept., fac. of sci. (men), al-azhar Univ.

Email

-

City

giza

Orcid

-

First Name

mohamed nader

Last Name

ismail

MiddleName

-

Affiliation

astronomy, faculty of science,al-azhar university

Email

mnader_is@azhar.edu.eg

City

cairo

Orcid

-

Volume

32

Article Issue

Issue 1-B

Related Issue

27771

Issue Date

2021-06-01

Receive Date

2021-03-17

Publish Date

2021-09-27

Page Start

1

Page End

12

Print ISSN

1110-2535

Online ISSN

2636-3305

Link

https://absb.journals.ekb.eg/article_196566.html

Detail API

https://absb.journals.ekb.eg/service?article_code=196566

Order

5

Type

Original Article

Type Code

520

Publication Type

Journal

Publication Title

Al-Azhar Bulletin of Science

Publication Link

https://absb.journals.ekb.eg/

MainTitle

A semi-analytical solution for the motion of a low altitude Earth satellite under J2-gravity and air drag perturbations

Details

Type

Article

Created At

22 Jan 2023