Trajectory propagation over very short time spans

Advances in the Astronautical Sciences

Volumn 97 PART 2, Issue , 1997, Pages 1331-1347

  Der, Gim J ^b   Danchick, Roy ^a  

^a NORTHROP GRUMMAN CORPORATION   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3342936705     PISSN: 00653438     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (13)

1. Hull, T.E., Enright, W.H., Fellen, B.M., Sedgwick, A.E., "Comparing Numerical Methods for Ordinary Differential Equations", SIAM J. Numerical Analysis, Vol. 9, No. 4, December 1972.
2. Montenbrunk, O., "Numerical Integration Methods for Orbital Motion", Celestial Mechanics and Dynamical Astronomy 53; 59-69, 1992.
3. Lear, W.M., "Accuracy and Speed of 38 Self-Starting Integrators" TRW Defense and Space Systems Group 30759-6007-TU-00, January, 1978.
4. Monuki, A.T., "Vinti Potential", Unpublished TRW Internal Report, 1974.
5. Vinti, J.P., "Inclusion of the Third Zonal Harmonic in an Accurate Reference Orbit of an Artificial Satellite", Journal of Research of the National Bureau of Standards, Volume 70B, No. 1, January-March 1966.
6. Der, G.J., "An elegant state transition matrix", AAS 96-3660, AIAA/AAS Astrodynamics Conference, San Diego, California, July 29-31, 1996.
7. Vinti, J.P., "Orbital and Celestial Mechanics", To be published by AIAA in late 1997.
8. Der, G.J., "Runge-Kutta Integration Methods for Trajectory Propagation Revisited", AAS 95-420, AIAA/AAS Astrodynamics Conference, Halifax, Canada, August 14-17, 1995.
9. Schutz, B.E., "Special Perturbations: Numerical Solutions and Applications", Proceedings of the Artificial Satellite Theory Workshop, U.S. Naval Observatory, Nov. 8-9,1993.
10. Battin, R.H., "An Introduction to The Mathematics and Methods of Astrodynamics", American Institute of Aeronautics and Astronautics, Education Series, 1987.
11. Shanks, E.B., "Formulas for Obtaining Solutions of Differential Equations by Evaluations of Functions", (Unpublished) (Obtainable from Vanderbilt University, Dept of Mathematics, Nashville, Tenn. USA, 1963.)
12. Der, G.J., Unpublished Report, 1997.
13. Getchell, B.C., "Orbit Computation with the Vinti Potential and Universal Variables", Journal of Spacecraft, Volume 7, No. 4, April, 1970.