Relative motion and autonomous rendezvous in Keplerian elliptic orbits

In this paper, the analytical closed-form solution of the Tschauner-Hempel equations that are used for rendezvous in elliptic orbits are studied and exploited. The solution is based on a state transition matrix that is completely explicit in time. Autonomous guidance algorithms to approach, to flyar...

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Main Authors:	Okasha, Mohamed Elsayed Aly Abd Elaziz, Newman, Brett
Format:	Conference or Workshop Item
Language:	English
Published:	2010
Subjects:	TA329 Engineering mathematics. Engineering analysis TA349 Mechanics of engineering. Applied mechanics TJ212 Control engineering
Online Access:	http://irep.iium.edu.my/38703/ http://irep.iium.edu.my/38703/ http://irep.iium.edu.my/38703/1/6%252E2010-7593.pdf

id	iium-38703
recordtype	eprints
spelling	iium-387032014-10-14T08:03:59Z http://irep.iium.edu.my/38703/ Relative motion and autonomous rendezvous in Keplerian elliptic orbits Okasha, Mohamed Elsayed Aly Abd Elaziz Newman, Brett TA329 Engineering mathematics. Engineering analysis TA349 Mechanics of engineering. Applied mechanics TJ212 Control engineering In this paper, the analytical closed-form solution of the Tschauner-Hempel equations that are used for rendezvous in elliptic orbits are studied and exploited. The solution is based on a state transition matrix that is completely explicit in time. Autonomous guidance algorithms to approach, to flyaround, and to depart from a target vehicle in elliptic orbits are exploited based on that solution. The algorithms are general and able to translate the chaser vehicle in any direction, decelerate while approaching the target vehicle, and accelerate when moving away. These guidance algorithms are based on the glideslope used in the past for rendezvous and proximity operations of the Space Shuttle with other vehicles. The algorithms are applied to the problem of terminal rendezvous near any Keplerian elliptic orbit in a Newtonian gravitational field showing the effects of target orbit eccentricity on the relative motion. These algorithms extend and generalize previously published solutions. Numerical simulations confirm the brevity and accuracy of the general solutions developed in the current paper. 2010 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/38703/1/6%252E2010-7593.pdf Okasha, Mohamed Elsayed Aly Abd Elaziz and Newman, Brett (2010) Relative motion and autonomous rendezvous in Keplerian elliptic orbits. In: AIAA Guidance, Navigation, and Control Conference, 2-5 August 2010, Toronto, Ontario Canada. http://arc.aiaa.org/doi/abs/10.2514/6.2010-7593
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	TA329 Engineering mathematics. Engineering analysis TA349 Mechanics of engineering. Applied mechanics TJ212 Control engineering
spellingShingle	TA329 Engineering mathematics. Engineering analysis TA349 Mechanics of engineering. Applied mechanics TJ212 Control engineering Okasha, Mohamed Elsayed Aly Abd Elaziz Newman, Brett Relative motion and autonomous rendezvous in Keplerian elliptic orbits
description	In this paper, the analytical closed-form solution of the Tschauner-Hempel equations that are used for rendezvous in elliptic orbits are studied and exploited. The solution is based on a state transition matrix that is completely explicit in time. Autonomous guidance algorithms to approach, to flyaround, and to depart from a target vehicle in elliptic orbits are exploited based on that solution. The algorithms are general and able to translate the chaser vehicle in any direction, decelerate while approaching the target vehicle, and accelerate when moving away. These guidance algorithms are based on the glideslope used in the past for rendezvous and proximity operations of the Space Shuttle with other vehicles. The algorithms are applied to the problem of terminal rendezvous near any Keplerian elliptic orbit in a Newtonian gravitational field showing the effects of target orbit eccentricity on the relative motion. These algorithms extend and generalize previously published solutions. Numerical simulations confirm the brevity and accuracy of the general solutions developed in the current paper.
format	Conference or Workshop Item
author	Okasha, Mohamed Elsayed Aly Abd Elaziz Newman, Brett
author_facet	Okasha, Mohamed Elsayed Aly Abd Elaziz Newman, Brett
author_sort	Okasha, Mohamed Elsayed Aly Abd Elaziz
title	Relative motion and autonomous rendezvous in Keplerian elliptic orbits
title_short	Relative motion and autonomous rendezvous in Keplerian elliptic orbits
title_full	Relative motion and autonomous rendezvous in Keplerian elliptic orbits
title_fullStr	Relative motion and autonomous rendezvous in Keplerian elliptic orbits
title_full_unstemmed	Relative motion and autonomous rendezvous in Keplerian elliptic orbits
title_sort	relative motion and autonomous rendezvous in keplerian elliptic orbits
publishDate	2010
url	http://irep.iium.edu.my/38703/ http://irep.iium.edu.my/38703/ http://irep.iium.edu.my/38703/1/6%252E2010-7593.pdf
first_indexed	2023-09-18T20:55:38Z
last_indexed	2023-09-18T20:55:38Z
_version_	1777410284554551296

Relative motion and autonomous rendezvous in Keplerian elliptic orbits

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