Tangent Orbital Rendezvous Using Linear Relative Motion with J2 Perturbations
The tangent-impulse coplanar orbit rendezvous problem is studied based on the linear relative motion for J2-perturbed elliptic orbits. There are three cases: (1) only the first impulse is tangent; (2) only the second impulse is tangent; (3) both impulses are tangent. For a given initial impulse poin...
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2013/531672 |
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doaj-316198a66a004dd797c5c61bbe6955482020-11-24T22:41:53ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/531672531672Tangent Orbital Rendezvous Using Linear Relative Motion with J2 PerturbationsGang Zhang0Dongzhe Wang1Xibin Cao2Zhaowei Sun3Research Center of Satellite Technology, Harbin Institute of Technology, Harbin 150080, ChinaResearch Center of Satellite Technology, Harbin Institute of Technology, Harbin 150080, ChinaResearch Center of Satellite Technology, Harbin Institute of Technology, Harbin 150080, ChinaResearch Center of Satellite Technology, Harbin Institute of Technology, Harbin 150080, ChinaThe tangent-impulse coplanar orbit rendezvous problem is studied based on the linear relative motion for J2-perturbed elliptic orbits. There are three cases: (1) only the first impulse is tangent; (2) only the second impulse is tangent; (3) both impulses are tangent. For a given initial impulse point, the first two problems can be transformed into finding all roots of a single variable function about the transfer time, which can be done by the secant method. The bitangent rendezvous problem requires the same solution for the first two problems. By considering the initial coasting time, the bitangent rendezvous solution is obtained with a difference function. A numerical example for two coplanar elliptic orbits with J2 perturbations is given to verify the efficiency of these proposed techniques.http://dx.doi.org/10.1155/2013/531672 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Gang Zhang Dongzhe Wang Xibin Cao Zhaowei Sun |
spellingShingle |
Gang Zhang Dongzhe Wang Xibin Cao Zhaowei Sun Tangent Orbital Rendezvous Using Linear Relative Motion with J2 Perturbations Mathematical Problems in Engineering |
author_facet |
Gang Zhang Dongzhe Wang Xibin Cao Zhaowei Sun |
author_sort |
Gang Zhang |
title |
Tangent Orbital Rendezvous Using Linear Relative Motion with J2 Perturbations |
title_short |
Tangent Orbital Rendezvous Using Linear Relative Motion with J2 Perturbations |
title_full |
Tangent Orbital Rendezvous Using Linear Relative Motion with J2 Perturbations |
title_fullStr |
Tangent Orbital Rendezvous Using Linear Relative Motion with J2 Perturbations |
title_full_unstemmed |
Tangent Orbital Rendezvous Using Linear Relative Motion with J2 Perturbations |
title_sort |
tangent orbital rendezvous using linear relative motion with j2 perturbations |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2013-01-01 |
description |
The tangent-impulse coplanar orbit rendezvous problem is studied based on the linear relative motion for J2-perturbed elliptic orbits. There are three cases: (1) only the first impulse is tangent; (2) only the second impulse is tangent; (3) both impulses are tangent. For a given initial impulse point, the first two problems can be transformed into finding all roots of a single variable function about the transfer time, which can be done by the secant method. The bitangent rendezvous problem requires the same solution for the first two problems. By considering the initial coasting time, the bitangent rendezvous solution is obtained with a difference function. A numerical example for two coplanar elliptic orbits with J2 perturbations is given to verify the efficiency of these proposed techniques. |
url |
http://dx.doi.org/10.1155/2013/531672 |
work_keys_str_mv |
AT gangzhang tangentorbitalrendezvoususinglinearrelativemotionwithj2perturbations AT dongzhewang tangentorbitalrendezvoususinglinearrelativemotionwithj2perturbations AT xibincao tangentorbitalrendezvoususinglinearrelativemotionwithj2perturbations AT zhaoweisun tangentorbitalrendezvoususinglinearrelativemotionwithj2perturbations |
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1725700379069382656 |