Applications of canonical transformations in optimizing orbital transfers

Journal of Guidance, Control, and Dynamics

Volumn 20, Issue 4, 1997, Pages 774-779

  Popescu, Mihai ^a,b,c,d,e  

^a ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

^b Dynamical System Department   (Romania)

^c UNIVERSITY OF BUCHAREST   (Romania)

^d Intl Aeronautical Federation   (Romania)

^e Academy of Nonlinear Science   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; OPTIMIZATION;

CANONIC TRANSFORMATION THEORY; HAMILTON JACOBI EQUATION;

ORBITAL TRANSFER;

EID: 0031189151     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.4112     Document Type: Article

References (10)

1. Leitmann, G., The Calculus of Variations and Optimal Control, Plenum, New York, 1981.
2. Rund, H., The Hamilton-Jacobi Theory in the Calculus of Variation, D. Van Nostrand, London, 1966, pp. 332-337.
3. Eckenwiler, M. W., "Closed-Form Lagrangian Multipliers for Coast Periods of Optimum Trajectories," AIAA Journal, Vol. 3, No. 6, 1965, pp. 1149-1151.
4. Hempel, P. R., "Representation of the Lagrangian Multipliers for Coast Periods of Optimum Trajectories," AIAA Journal, Vol. 4, No. 4, 1966, pp. 729, 730.
5. Miner, W. E., Tapely, B. D., and Powers, W. F., "The Hamilton-Jacobi Method Applied to the Low-Thrust Trajectory Problem," Proceedings of the 1st Congress of the International Astronautical Federation, Belgrade, Yugoslavia, 1967.
6. Powers, W. F., and Tapely, B. D., "Canonical Transformation Applications to Optimal Trajectory Analysis," AIAA Journal, Vol. 7, No. 3, 1969, pp. 394-399.
7. Popescu, M. E., "Optimal Transfer from Equilateral Libration Points," Acta Astronautica, Vol. 15, No. 4, 1987, pp. 209-212.
8. Popescu, M. E., "Optimal Control in Pursuit Problem," Journal of Guidance, Control, and Dynamics, Vol. 15, No. 6, 1992, pp. 661-665.
9. Popescu, M. E., "Optimal Transfer from Collinear Libration Points with Limited Rotation Velocity," Journal of Guidance, Control, and Dynamics, Vol. 12, No. 1, 1988, pp. 119-122.
10. Pinkham, G., "An Application of a Successive Approximation Scheme in Optimizing Very Low-Thrust Trajectories," NASA Rept. MTP Aero-63-12, 1963, pp. 57-62.