Incorporating secular drifts into the orbit element difference description of relative orbits

Advances in the Astronautical Sciences

Volumn 114 I, Issue , 2003, Pages 239-257

  Schaub, Hanspeter ^a  

^a Orion International Technologies   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FORMATION FLYING; VELOCITY COORDINATES;

ALGEBRA; ASTRONOMY; EQUATIONS OF MOTION; FEEDBACK CONTROL; INTEGRATION; INVARIANCE; LINEARIZATION; MOTION ESTIMATION; PERTURBATION TECHNIQUES; PROBLEM SOLVING; SENSORS; SPACECRAFT;

ORBITS;

EID: 1542270119     PISSN: 00653438     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. PARKER, TIMOTHY W., JACQUES, DAVID R., and WIESEL, WILLIAM E., "Advanced Metrics for Optimizing Satellite Formations Performing Interferometry Missions", AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Monterey, CA, Aug. 5-8 2002, Paper No. AIAA 2002-4740.
2. MELTON, ROBERT G., "Time-Explicit Representation of Relative Motion Between Elliptical Orbits", Journal of Guidance, Control, and Dynamics, Vol. 23, No. 4, 2000, pp. 604-610.
3. TSCHAUNER, J. and HEMPEL, P., "Rendezvous zu einem in Elliptischer Bahn Umlaufenden Ziel", Astronautica Acta, Vol. 11, 1965, pp. 104-109.
4. CARTER, THOMAS E., "State Transition Matrix for Terminal Rendezvous Studies: Brief Survey and New Example", Journal of Guidance, Navigation and Control, Vol. 31, No. 1, 1998, pp. 148-155.
5. KECHICHIAN, J. and KELLY, T., "Analytical Solution of Perturbed Motion in Near-Circular Orbit Due to J2, J3 Earth Zonal Harmonics in Rotating and Inertial Cartesian Reference Frames", AIAA 27th Aerospace Sciences Meeting, Reno, Nevada, January 1989, Paper No. 89-0352.
6. BROUCKE, ROGER A., "A Solution of the Elliptic Rendezvous Problem with the Time as Independent Variable", AAS/AIAA Space Flight Mechanics Meeting, San Antonio, TX, January 2002, Paper No. AAS 02-144.
7. 2 Invariant Reference Orbits for Spacecraft Formations", Celestial Mechanics and Dynamical Astronomy, Vol. 79, 2001, pp. 77-95.
8. ALFRIEND, KYLE T. and SCHAUB, HANSPETER, "Dynamics and Control of Spacecraft Formations: Challenges and Some Solutions", Journal of the Astronautical Sciences, Vol. 48, No. 2 and 3, April-Sept. 2000, pp. 249-267.
9. GARRISON, JAMES L., GARDNER, THOMAS G., and AXELRAD, PENINA, "Relative Motion in Highly Elliptic Orbits", AAS/AIAA Space Flight Mechanics Meeting, Albuquerque, NM, Feb. 1995, Paper No. 95-194.
10. CHICHKA, DAVID F., "Satellite Cluster with Constant Apparent Distribution", Journal of Guidance, Control and Dynamics, Vol. 24, No. 1, Jan.-Feb. 2001, pp. 117-122.
11. HUGHES, STEVEN P. and HALL, CHRISTOPHER D., "Optimal Configurations of Rotating Spacecraft Formations", Journal of the Astronautical Sciences, Vol. 48, No. 2 and 3, April-Sept. 2000, pp. 225-247.
12. JUNKINS, JOHN L., AKELLA, MARUTHI R., and ALFRIEND, KYLE T., "Non-Gaussian Error Propagation in Orbital Mechanics", Journal of the Astronautical Sciences, Vol. 44, No. 4, Oct.-Dec. 1996, pp. 541-563.
13. SCHAUB, HANSPETER and ALFRIEND, KYLE T., "Hybrid Cartesian and Orbit Element Feedback Law for Formation Flying Spacecraft", Journal of Guidance, Control and Dynamics, Vol. 25, No. 2, March-April 2002, pp. 387-393.
14. SCHAUB, HANSPETER, "Spacecraft Relative Orbit Geometry Description Through Orbit Element Differences", 14th U.S. National Congress of Theoretical and Applied Mechanics, Blacksburg, VA, June 2002.
15. HILL, GEORGE, "Researches in the Lunar Theory", American Journal of Mathematics, Vol. 1, 1878, pp. 5-26.
16. CLOHESSY, W. H. and WILTSHIRE, R. S., "Terminal Guidance System for Satellite Rendezvous", Journal of the Aerospace Sciences, Vol. 27, No. 9, Sept. 1960, pp. 653-658.
17. BROUWER, DIRK, "Solution of the Problem of Artificial Satellite Theory Without Drag", The Astronomical Journal, Vol. 64, No. 1274, 1959, pp. 378-397.
18. LYDDANE, R. H., "Small Eccentricities or Inclinations in the Brouwer Theory of the Artificial Satellite", The Astronomical Journal, Vol. 68, No. 8, October 1963, pp. 555-558.
19. BATTIN, RICHARD H., An Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, New York, 1987.
20. SCHAUB, HANSPETER and JUNKINS, JOHN L., Analytical Mechanics of Space Systems, AIAA Education Series, 2003, currently in press.