Third-order secular Solution of the variational equations of motion of a satellite in orbit around a non-spherical planet

被引：0

作者：

M. K. Ammar

S. M. El Shaboury

M. R. Amin

机构：

[1] Helwan University,Math. Dept. Fac. of Sci.

[2] Ain Shams University,Math. Dept. Fac. of Sci.

[3] National Research Center,Theoretical Physics Dept.

来源：

Astrophysics and Space Science | 2012年 / 340卷

关键词：

Satellite earth orbit; Orbit Perturbation; Lagrange equations of motion; Earth oblateness; Secular variations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We constructed an analytical theory of satellite motion up to the third order relative to the oblateness parameter of the Earth (J2). Equations of secular variations was developed for the first three orbital elements (a, e, i) of an artificial satellite. The secular variations are solved in a closed form.

引用

页码：43 / 61

页数：18

共 11 条

[1] Third-order secular Solution of the variational equations of motion of a satellite in orbit around a non-spherical planet
Ammar, M. K.
El Shaboury, S. M.
Amin, M. R.
[J]. ASTROPHYSICS AND SPACE SCIENCE, 2012, 340 (01) : 43 - 61
[2] THE 5TH-ORDER ANALYTICAL SOLUTION OF THE EQUATIONS OF MOTION OF A SATELLITE IN-ORBIT AROUND A NONSPHERICAL PLANET
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Mitchell, JW
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[5] A third-order analytical solution for relative motion with a circular reference orbit
Richardson, DL
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[J]. EIGHTH POLYAKHOV'S READING, 2018, 1959
[7] ANALYTIC SOLUTION OF NEARLY GEOSTATIONARY SATELLITE'S ORBIT EVOLUTION CONSIDERING EARTH'S NON-SPHERICAL PERTURBATION
Zhang, Haitao
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[J]. FOURTH IAA CONFERENCE ON DYNAMICS AND CONTROL OF SPACE SYSTEMS 2018, PTS I-III, 2018, 165 : 1579 - 1585
[8] Solution set on the natural satellite formation orbits under first-order earth's non-spherical perturbation
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[J]. ACTA MECHANICA SINICA, 2005, 21 (05) : 503 - 510
[9] Solution set on the natural satellite formation orbits under first-order earth's non-spherical perturbation
Humei Wang
Wei Yang
Junfeng Li
[J]. Acta Mechanica Sinica, 2005, 21 : 503 - 510
[10] Solution set on the natural satellite formation orbits under first-order earth's non-spherical perturbation
H.M.Wang W.Yang J.F.Li School of Aerospace
[J]. Acta Mechanica Sinica, 2005, (05) : 503 - 510

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