Hamiltonian modelling of relative motion

Annals of the New York Academy of Sciences

Volumn 1017, Issue , 2004, Pages 138-157

  Kasdin, N Jeremy ^a   Gurfil, Pini ^a  

^a Princeton University   (United States)

Author keywords

Hamiltonian modelling; Relative motion

Indexed keywords

ASTRONOMY; CONFERENCE PAPER; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MOTION; SPACE FLIGHT;

EID: 3042836134     PISSN: 00778923     EISSN: None     Source Type: Book Series    
DOI: 10.1196/annals.1311.009     Document Type: Conference Paper

References (15)

1. CLOHESSY, W.H. & R.S. WILTSHIRE. 1960. Terminal guidance system for satellite rendezvous. J. Astronaut. Sci. 27(9): 653-678.
2. CARTER, T.E. & M. HUMI. 1987. Fuel-optimal rendezvous near a point in general Keplerian orbit. J. Guid. Control Dynam. 10(6): 567-573.
3. INALHAN, G., M. TILLERSON & J.P. How. 2002. Relative dynamics and control of spacecraft formations in eccentric orbits. J. Guid. Control Dynam. 25(1): 48-60.
4. GIM, D.W. & K.T. ALFRIEND. 2001. The state transition matrix of relative motion for the perturbed non-circular reference orbit. Proceedings of the AAS/AIAA Space Flight Mechanics Meeting, Santa Barbara, CA, February. AAS 01-222.
5. ALFRIEND, K.T. & H. SCHAUB. 2000. Dynamics and control of spacecraft formations: challenges and some solutions. J. Astronaut. Sci. 48(2): 249-267.
6. HILL, G.W. 1878. Researches in the lunar theory. Am. J. Math. 1: 5-26.
7. SCHAUB, H., S.R. VADALI & K.T. ALFRIEND. 2000. Spacecraft formation flying control using mean orbital elements. J. Astronaut. Sci. 48(1): 69-87.
8. NAMOUNI, F. 1999. Secular interactions of coorbiting objects. Icarus 137: 293-314.
9. GURFIL, P. & N.J. KASDIN. 2003. Nonlinear modeling and control of spacecraft relative motion in the configuration space. Proceedings of the AAS/AIAA Spacecflight Mechanics Meeting, Puerto Rico, February.
10. KARLGAARD, C.D. & F.H. LUTZE. 2001. Second-order relative motion equations. Proceedings of the AAS/AIAA Astrodynamics Conference, Quebec City, Quebec, July. AAS 01-464.
11. ALFRIEND, K.T., H. YAN & S.R. VADALI. 2002. Nonlinear considerations in satellite formation flying. Proceedings of the 2002 AIAA/AAS Astrodynamics Specialist Conference, Monterey, CA, August. AIAA 2002-4741.
12. 2 dynamics and formation flight. Proceedings of the 2001 AIAA Guidance, Navigation, and Control Conference, Montreal, Canada, August. AIAA 2001-4090.
13. BROUCKE, R.A. 1999. Motion near the unit circle in the three-body problem. Celest. Mech. Dynam. Astron. 73(1): 281-290.
14. GOLDSTEIN, H. 1980. Classical Mechanics. Addison-Wesley.
15. BATTIN, R.H. 1999. An Introduction to the Mathematics and Methods of Astrodynamics. AIAA.