New analytic solutions to the fuel-optimal orbital transfer problem using low-thrust exhaust-modulated propulsion

Advances in the Astronautical Sciences

Volumn 105 I, Issue , 2000, Pages 497-508

  Bishop, Robert H ^a   Azimov, Dilmurat M ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039381672     PISSN: 00653438     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (16)

1. Irving, J. H., Space Technology, Edited by Seifert, John Wiley & Sons, New York, 1959.
2. Melbourne, W. G., and Sauer, C. G., Jr., "Optimum thrust programs for power-limited propulsion systems," Acta Astronautica, Vol. 8, No. 4, 1962, pp. 205-227.
3. Melbourne, W. G., "Interplanetary trajectories and payload capabilities of advanced propulsion vehicles," JPL Technical Report, No. 32-68, Jet Propulsion Laboratory, Pasadena, CA, 1961.
4. Coverstone-Carroll, V. and Williams, S. N., "Optimal low-thrust trajectories using differential inclusion concepts," The Journal of the Astronautical Sciences, Vol. 42, No. 4, 1994, pp. 379-393.
5. Seywald, H., "Trajectory optimization based on differential inclusion," Journal of Guidance, Control and Dynamics, Vol. 17, No. 3, 1994, pp. 480-487.
6. Kluever, C. A., "Optimal low-thrust interplanetary trajectories by direct method techniques," The Journal of the Astronautical Sciences, Vol. 45, No. 3, 1997, pp. 247-262.
7. Sheel, W., and Conway, B. A., "Optimization of very-low thrust, many-revolution spacecraft trajectories," Journal of Guidance, Control and Dynamics, Vol. 17., No. 6, 1994, pp. 1275-1282.
8. Thorne, J. D., and Hall, C. D., "Minimum-time continuous thrust orbit transfers," The Journal of the Astronautical Sciences, Vol. 45, No. 4., 1997, pp. 411-432.
9. Tang, S. and Conway, B. A., "Optimization of low-thrust interplanetary trajectories using collocation and nonlinear programming," Journal of Guidance, Control and Dynamics, Vol. 18., No. 3, 1995, pp. 599-604.
10. Chang-Diaz, F. R., Hsu, M. M., Braden, E., Johnson, I., and Yang T. F., "Rapid Mars transits with exhaust modulated plasma propulsion," NASA Technical Paper, No. TN-3539, 1995.
11. Vadali, S. R., Nah, R., Braden, E. and Johnson, I. L., Jr., "Fuel-optimal planar interplanetary trajectories using low-thrust exhaust -modulated propulsion," AAS/AIAA Space Flight Mechanics Meeting, Paper AAS 99-132, Breckenridge, CO, 1999.
12. Braden, E. M., Cockrell, B. F., Bordano, A. J., "Power-limited human mission to Mars," No. JSC-28436, Lyndon B. Johnson Space Center, Aerospace and Flight Mechanics Division, 1998, pp. 1-35.
13. Grodzovskii, G. L., Ivanov, Y. N., and Tokarev, V. V., "Optimization problems in the mechanics of low-thrust space flight," Proceedings of the Second All-Union Conference on Theoretical and Applied Mechanics, Israel Program for Scientific Translation, Jerusalem, 1968, pp. 201-221.
14. Markopoulos, N., "Analytically exact non-Keplerian motion for orbital transfers," AIAA/AAS Astrodynamics Conference, AIAA-94-3758-CP, Scottsdale, AZ, 1994, pp. 383-412.
15. Lawden, D. F., Optimal trajectories for space navigation, Butterworths, London, 1963, pp. 55-99.
16. Azimov, D. M., "Analytical solutions for intermediate thrust arcs of rocket trajectories in a newtonian field," Journal of Applied Mathematics and Mechanics, Pergamon, Vol. 60, No. 3, 1996, pp. 421-427.