Explicit, near-optimal guidance for power-limited transfers between coplanar circular orbits

Journal of Guidance, Control, and Dynamics

Volumn 19, Issue 6, 1996, Pages 1317-1325

  Markopoulos, Nikos ^a,b,c,d  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^c UNIVERSITY OF MICHIGAN   (United States)

^d AIAA

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; MANEUVERABILITY; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; ORBITS; PARAMETER ESTIMATION; POLYNOMIALS; SPACECRAFT; TRAJECTORIES;

COPLANAR CIRCULAR ORBITS; KEPLERIAN CLASS; NEAR OPTIMAL GUIDANCE; PARAMETERIZATION;

SPACE FLIGHT;

EID: 0030289272     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/3.21788     Document Type: Article

References (16)

1. Hill, P. G., and Peterson, C. R., Mechanics and Thermodynamics of Propulsion, 2nd ed., Addison-Wesley, Reading, MA, 1992.
2. Lawden, D. F., Optimal Trajectories for Space Navigation, Butterworths, London, 1963.
3. Marec, J. P., Optimal Space Trajectories, Elsevier, New York, 1979.
4. Lawden, D. F., "Rocket Trajectory Optimization: 1950-1963," Journal of Guidance, Control, and Dynamics, Vol. 14, No. 4, 1991, pp. 705-711.
5. Melbourne, W. G., and Sauer, C. G., "Optimum Thrust Programs for Power-Limited Propulsion Systems," Astronautica Acta, Vol. 8, Fasc. 4, 1962, pp. 205-227.
6. Haissig, C. M., Mease, K. D., and Vinh, N. X., "Minimum-Fuel, Power-Limited Transfers Between Coplanar Elliptical Orbits," Ada Astronautica, Vol. 29, No. 1, 1993, pp. 1-15.
7. Edelbaum, T. N., "Optimum Power-Limited Orbit Transfer in Strong Gravity Fields," AIAA Journal, Vol. 3, No. 5, 1965, pp. 921-925.
8. Marec, J. P., and Vinh, N. X., "Optimal Low-Thrust, Limited Power Transfers Between Arbitrary Elliptical Orbits," Acta Astronautica, Vol. 4, No. 5-6, 1977, pp. 511-540.
9. Haissig, C. M., "Minimum-Fuel Power-Limited Transfers Between Coplanar Elliptic Orbits," Ph.D. Thesis, Dept. of Mechanical and Aerospace Engineering, Princeton Univ., Princeton, NJ, Oct. 1992.
10. Markopoulos, N., "Analytically Exact Non-Keplerian Motion for Orbital Transfers," AlAA Paper 94-3758, 1994; also Acta Astronautica (to be published).
11. Markopoulos, N., "Analytically Exact Non-Keplerian Motion for Orbital Transfers," AlAA Paper 94-3758, 1994; also Acta Astronautica (to be published).
12. Markopoulos, N., "Analytical Investigations in Aircraft and Spacecraft Trajectory Optimization and Optimal Guidance," Ph.D. Thesis, Dept. of Aerospace Engineering, Georgia Inst. of Technology, Atlanta, GA, Aug. 1994.
13. Markopoulos, N., "Non-Keplerian Manifestations of the Keplerian Trajectory Equation, and a Theory of Orbital Motion Under Continuous Thrust," Advances in the Astronautical Sciences, Vol. 89, Pt. 2, 1995, pp. 1061-1080.
14. Battin, R. H., An Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, AIAA, New York, 1987.
15. Spiegel, M. R., Mathematical Handbook of Formulas and Tables, Schaum's Outline Series, McGraw-Hill, New York, 1968.
16. Markopoulos, N., "Power-Limited Transfers Between Two Coplanar Conies, Under Continuous Keplerian Thrust," Advances in the Astronautical Sciences, Vol. 93, Pt. 2, 1996, pp. 1529-1548.