Rapid optimal multiburn ascent planning and guidance

Journal of Guidance, Control, and Dynamics

Volumn 31, Issue 6, 2008, Pages 1656-1664

  Lu, Ping ^a   Griffin, Brian J ^a   Dukeman, Gregory A ^b   Chavez, Frank R ^c  

^a Iowa State University   (United States)

^b NASA MARSHALL SPACE FLIGHT CENTER   (United States)

^c AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NEWTON-RAPHSON METHOD;

ASCENT TRAJECTORY; CONVERGENCE RELIABILITIES; IN-DEPTH ANALYSIS; MULTIPLE SHOOTING; NUMERICAL SOLUTION; PROBLEM SOLUTIONS; TRANSVERSALITY CONDITIONS; TRUST-REGION METHODS;

NUMERICAL METHODS;

EID: 57149139779     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.36084     Document Type: Conference Paper

References (21)

1. Smith, I. E., "General Formulation of the Iterative Guidance Mode," NASA TM X-53414, Mar. 1966.
2. McHenry, R. L., Brand, T. J., Long, A. D., Cockrell, B. F., and Thibodeau, J. R., III, "Space Shuttle Ascent Guidance, Navigation, and Control," Journal of the Astronautical Sciences, Vol. 27, No. 1, 1979, pp. 1-38.
3. Brown, K. R., Harrold, E. F., and Johnson, G. W., "Rapid Optimization of Multiple-Burn Rocket Trajectories," NASA CR-1430, Sept. 1969.
4. Jezewski, D. J.,"Optimal Analytic Multiburn Trajectories," AIAA Journal, Vol. 10, No. 5, 1972, pp. 680-685. doi:10.2514/3.50176.
5. Jezewski, D. J.,"N-Burn Optimal Analytic Trajectories" AIAA Journal, Vol. 11, No. 10, 1973, pp. 1373-1376. doi:10.2514/3.50595.
6. McAdoo, S. F., Jezewski, D. J., and Dawkins, G. S., "Development of a Method for Optimal Maneuver Analysis of Complex Space Missions," NASA TN D-7882, Apr. 1975.
7. Gath, P. F., and Calise, A. J., "Optimization of Launch Vehicle Ascent Trajectories with Path Constraints and Coast Arcs," Journal of Guidance, Control, and Dynamics, Vol. 24, No. 2, 2001, pp. 296-304.
8. Dukeman, G., and Calise, A., "Enhancements to an Atmospheric Ascent Guidance Algorithm," AIAA Paper 2003-5638, Aug. 2003.
9. Dukeman, G., "Closed-Loop Nominal and Abort Atmospheric Ascent Guidance for Rocket-Powered Launch Vehicles," Ph.D. Dissertation, Georgia Inst. of Technology, Atlanta, May 2005.
10. Lu, P., Zhang, L., and Sun, H., "Ascent Guidance for Responsive Launch: a Fixed-Point Approach," AIAA Paper 2005-6453, Aug. 2005.
11. Powell, M. J. D., "A Hybrid Method for Nonlinear Equations," Numerical Methods for Nonlinear Algebraic Equations, edited by Rabinpwitz, P., Gordon and Breach, New York, 1970, p. 87-114.
12. Hargraves, C. R., and Paris, S. W., "Direct Trajectory Optimization Using Nonlinear Programming and Collocation," Journal of Guidance, Control, and Dynamics, Vol. 10, No. 4, 1987, pp. 338-342. doi:10.2514/3.20223.
13. Jezewski, D. J.,"An Optimal, Analytic Solution to the Linear Gravity, Constant-Thrust Trajectory Problem," Journal of Spacecraft and Rockets, Vol. 8, No. 7, 1971, pp. 793-796. doi:10.2514/3.30320.
14. Bryson, A. E., and Ho, Y. C., Applied Optimal Control, Hemisphere, Washington, D.C., 1975, pp. 42-87.
15. Lawden, D. F., Optimal Trajectories for Space Navigation, Butterworths, London, 1963, pp, 54-68.
16. Robbins, H. M., "Optimality of Intermediate-Thrust Arcs of Rocket Trajectories," AIAA Journal, Vol. 3, No. 6, 1965, pp. 1094-1098. doi:10.2514/3.3060.
17. Leung, M. S. K., and Calise, A. J., "Hybrid Approach to Near-Optimal Launch Vehicle Guidance," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 5, 1994, pp. 881-888. doi:10.2514/3.21285.
18. Lu, P., Sun, H., and Tsai, B., "Closed-Loop Endo-Atmospheric Ascent Guidance," Journal of Guidance, Control, and Dynamics, Vol. 26, No. 2, 2003, pp. 283-294.
19. Danby, J. M. A., Fundamentals of Celestial Mechanics, 2nd ed., Willmann-Bell, Richmond, VA, 1988, pp. 162-177.
20. Goodyear, W., "Completely General Closed-Form Solution for Coordinates and Partial Derivatives of the Two-Body Problem," Astronomical Journal, Vol. 70, No. 3, 1965, pp. 189-192. doi:10.1086/109713.
21. Pontryagin, L. S., Boltyanskii, V. G., Gramkreledze, Q. V., and Mishchenko, E. F., The Mathematical Theory of Optimal Processes, Intersciences, New York, 1962, pp. 20-21, 311-316.