Relative motion and autonomous rendezvous in Keplerian elliptic orbits

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.

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Abstract

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.

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	6908/38703
Uncontrolled Keywords:	Autonomous guidance; Autonomous rendezvous; Closed form solutions; Elliptic orbit; Fly-around; General solutions; Glideslope; Gravitational fields; Guidance algorithm; Newtonians; Proximity operations; Relative motion; State transition Matrix; Target orbits; Target vehicles
Subjects:	T Technology > TA Engineering (General). Civil engineering (General) > TA329 Engineering mathematics. Engineering analysis T Technology > TA Engineering (General). Civil engineering (General) > TA349 Mechanics of engineering. Applied mechanics T Technology > TJ Mechanical engineering and machinery > TJ212 Control engineering
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User:	Dr Mohamed Okasha
Date Deposited:	14 Oct 2014 16:03
Last Modified:	14 Oct 2014 16:03
URI:	http://irep.iium.edu.my/id/eprint/38703

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