Numerical computation of optimal trajectories for coplanar, aeroassisted orbital transfer

Journal of Optimization Theory and Applications

Volumn 107, Issue 3, 2000, Pages 457-479

  Baumann, H ^a   Oberle, H J ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL COMPUTATIONS; OPTIMAL TRAJECTORIES;

ORBITS;

EID: 0040183822     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026454013374     Document Type: Article

References (17)

1. LONDON, H. S., Change of Satellite Orbit Plane by Aerodynamic Maneuvering, Journal of the Aerospace Sciences, Vol. 29, pp. 323-332, 1962.
2. WALBERG, G. D., A Survey of Aeroassisted Orbit Transfer, Journal of Spacecraft and Rockets, Vol. 22, pp. 3-17, 1985.
3. MEASE, K. D., Optimization of Aeroassisted Orbital Transfer: Current Status, Journal of the Astronautical Sciences, Vol. 36, pp. 7-33, 1988.
4. NAIDU, D. S., Aeroassisted Orbital Transfers: Guidance and Control Strategies, Lecture Notes in Control and Information Sciences, Springer, New York, NY, Vol. 188, 1994.
5. MIELE, A., Recent Advances in the Optimization and Guidance of Aeroassisted Orbital Transfer, The 1st John V. Breakwell Memorial Lecture, Acta Astronautica, Vol. 38, pp. 747-768, 1996.
6. MEASE, K. D., and VINH, N. X., Minimum-Fuel Aeroassisted Coplanar Orbit Transfer Using Lift Modulations, Journal of Guidance, Control, and Dynamics, Vol. 8, pp. 134-141, 1985.
7. MIELE, A., and VENKATARAMAN, P., Optimal Trajectories for Aeroassisted Orbital Transfer, Acta Astronautica, Vol. 11, pp. 423-433, 1984.
8. MIELE, A., WANG, T., and DEATON, A. W., Properties of the Optimal Trajectories for Coplanar, Aeroassisted Orbital Transfer, Journal of Optimization Theory and Applications, Vol. 69, pp. 1-30, 1991.
9. MIELE, A., and WANG, T., Gamma Guidance of Trajectories for Coplanar, Aeroassisted Orbital Transfer, Journal of Guidance, Control, and Dynamics, Vol. 15, pp. 255-262, 1992.
10. BAUMANN, H., Complete Trajectories of an Aeroassisted Orbital Transfer, Optimal Control in Transatmospheric Flight, Workshop Greifswald, Greifswald, Germany, 1999 (to appear).
11. OBERLE, H. J., and TAUBERT, K., Existence and Multiple Solutions of the Minimum-Fuel Orbit Transfer Problem, Journal of Optimization Theory and Applications, Vol. 95, pp. 243-262, 1997.
12. BRYSON, A. E., and Ho, Y. C., Applied Optimal Control, Ginn and Company, Waltham, Massachusetts, 1969.
13. BULIRSCH, R., The Multiple Shooting Method for the Numerical Solution of Nonlinear Boundary-Value Problems and of Optimal Control Problems, Report of the Carl-Cranz-Gesellschaft e.V., Oberpfaffenhofen, Germany, 1971 (in German).
14. STOER, J., and BULIRSCH, R., Introduction to Numerical Analysis, 2nd Edition, Corrected 3rd Printing, Texts in Applied Mathematics, Springer, New York, NY, Vol. 12, 1996.
15. OBERLE, H. J., and GRIMM, W., BNDSCO - A Program for the Numerical Solution of Optimal Control Problems, Report 515, Institut for Flight Systems Dynamics, German Aerospace Research Establishment (DLR), Oberpfaffenhofen, Germany, 1989.
16. BAUMANN, H., Numerical Computation of Optimal Aeroassisted Orbital Transfers, Diploma Thesis, University of Hamburg, 1998 (in German).
17. CHUDEJ, K., Generalized Necessary Conditions for State-Constrained Optimal Control Problems with Piecewise Model Functions, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 75, pp. 587-588, 1995 (in German).