NDLI: Stationkeeping on unstable orbits: Generalization to the elliptic restricted three-body problem

Content Provider	Springer Nature Link
Author	Gurfil, Pini Meltzer, Dani
Copyright Year	2006
Abstract	We develop new methods for generating periodic orbits about the collinear libration points and for stabilizing motion on libration orbits using the general formalism of the elliptic restricted three-body problem (ER3BP). Calculation of periodic orbits is accomplished by formulating the ER3BP as a control problem. This approach yields halo-like orbits that do not exist without applying active control, having arbitrarily small amplitudes. Linearization about the libration points in pulsating coordinates yields an unstable linear parameter-varying (LPV) system with periodic coefficients. We introduce a continuous acceleration control term into the state-space dynamics and use an LPV-generalized version of the pole-assignment technique to find linear periodic reference trajectories. The nonlinear terms of the equations of motion are then treated as periodic disturbances. A disturbance-accommodating control is used to track the libration-point reference orbit in the presence of nonlinear periodic disturbances. Simulation experiments show that stationkeeping is robust to propulsive dispersions.
Starting Page	29
Ending Page	51
Page Count	23
File Format	PDF
ISSN	00219142
Journal	The Journal of the Astronautical Sciences
Volume Number	54
Issue Number	1
Language	English
Publisher	Springer-Verlag
Publisher Date	2012-08-17
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Extraterrestrial Physics, Space Sciences Mathematical Applications in the Physical Sciences Aerospace Technology and Astronautics
Content Type	Text
Resource Type	Article
Subject	Aerospace Engineering Space and Planetary Science

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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