Analytical gradients for gravity assist trajectories using constant specific impulse engines

Journal of Guidance, Control, and Dynamics

Volumn 28, Issue 4, 2005, Pages 753-760

  Zimmer, Scott ^a,b   Ocampo, Cesar ^a,b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b 1 University Station C0600 ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; EARTH (PLANET); GRAVITATION; IMPULSE TESTING; MATRIX ALGEBRA; OPTIMIZATION; PARAMETER ESTIMATION; PLANETS;

CONTROL PARAMETERS; FLYBY ANGLES; SPECIFIC IMPULSE ENGINES;

TRAJECTORIES;

EID: 22944442664     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.9917     Document Type: Article

References (11)

1. D'Amario, L. A., Byrnes, D. V., Sackett, L. L., and Stanford, R. H., "Optimization of Multiple Flyby Trajectories," Advances in the Astronautical Sciences, Vol. 40, Pt. 2, 1979, pp. 695-729.
2. Sauer, C. G., Jr., "Optimization of Interplanetary Trajectories with Unpowered Planetary Swingbys," Advances in the Astronomical Sciences, Vol. 65, Pt. 1, 1987, pp. 253-272.
3. Mirfakhraie, K., and Conway, B., "Optimal Cooperative Time-Fixed Impulsive Rendezvous," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 3, 1994, pp. 607-613.
4. Ocampo, C. A., and Rosborough, G. W., "Optimal Low-Thrust Transfers Between a Class of Restricted Three-Body Trajectories," Advances in the Astronomical Sciences, Vol. 85, Pt. 2, 1993, pp. 1547-1566.
5. Zimmer, S., and Ocampo, C., "Use of Analytical Gradients to Calculate Optimal Gravity-Assist Trajectories," Journal of Guidance, Control, and Dynamics, Vol. 28, No. 2, 2005, pp. 324-332.
6. Gill, P., E., Murray, W., and Wright, M., H., Practical Optimization, Academic Press, London, 1981, Chap. 8.
7. Hull, D. G., and Williamson, W. E., "Numerical Derivatives for Parameter Optimization," Journal of Guidance and Control, Vol. 2, No. 2, 1979, pp. 158-160.
8. Casalino, L., Colosurdo, G., and Pastrone, D., "Optimization of AV Earth-Gravity-Assist Trajectories," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 6, 1998, pp. 991-995.
9. 'Standish, E. M., "The JPL Planetary and Lunar Ephemerides DE405/ LE405," URL: http://ssd.jpl.nasa.gov/iau-comm4/de405iom/de405iom.ps [cited 16 Jan. 2004].
10. Hindmarsh, A. C., "Serial Fortran Solvers for ODE Initial Value Problems," URL: http://www.llnl.gov/CASC/odepack [cited 16 Jan. 2004]
11. "VF13AD," Harwell Subroutine Library, URL: http://hsl.rl.ac.uk/ archive2002/hslarchive/packages/vf13/vfl3.pdf [cited 16 Jan. 2004].