Vol. 2, No. 8, 2007

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12, 1 issue

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
Cover
Editorial Board
Editors’ Addresses
Research Statement
Scientific Advantage
Submission Guidelines
Submission Form
Subscriptions
Author Index
To Appear
 
ISSN: 1559-3959
Active control schemes based on the linearized Tschauner–Hempel equations to maintain the separation distance constraints for the NASA benchmark Tetrahedron Constellation

Pedro A. Capó-Lugo and Peter M. Bainum

Vol. 2 (2007), No. 8, 1541–1559
Abstract

The NASA benchmark tetrahedron constellation is a proposed satellite formation that requires a nominal separation distance at every apogee point. To maintain these separation distance constraints between any pair of satellites within the constellation, an open-loop scheme was developed based on the orbital elements. For a particular size of the NASA benchmark tetrahedron problem, the constellation maintains the separation distance conditions without perturbations. On the other hand, with perturbations, the constellation maintains the separation distance criteria for a limited number of orbits.

This scheme does not maintain the constellation together for the complete mission period. For this reason, the Tschauner–Hempel (TH) equations are used to maintain the separation distance criteria. Two control schemes are used to maintain the separation distance conditions of the tetrahedron constellation and are compared with each other to determine which one provides for minimum time and consumption.

Keywords
tetrahedron constellation, linear quadratic regulator, elliptical orbits
Milestones
Received: 16 May 2006
Accepted: 20 April 2007
Published: 1 October 2007
Authors
Pedro A. Capó-Lugo
Department of Mechanical Engineering
Howard University
2300 Sixth Street NW
Washington, DC 20059
United States
Peter M. Bainum
Department of Mechanical Engineering
Howard University
2300 Sixth Street NW
Washington, DC 20059
United States