Ideal frames and regularization in numerical orbit computation

Journal of the Astronautical Sciences

Volumn 44, Issue 1, 1996, Pages 63-77

  Palacios, M ^a   Calvo, C ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; EQUATIONS OF MOTION; INTEGRATION; LINEAR ALGEBRA; LINEARIZATION; NUMERICAL METHODS; ORBITS; SATELLITES;

CARTESIAN COORDINATES; KEPLERIAN ORBITS; NUMERICAL ORBIT COMPUTATION; QUATERNIONS; REGULARIZATION;

SPACE FLIGHT;

EID: 0029707184     PISSN: 00219142     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. BALMINO, G., and BARRIOT, J. P. "Revision of numerical techniques," Final Report, Work Package No. 221, ESA Contract No. 7521/87/F/FL, 1988.
2. FRANCO, J. M., and PALACIOS, M. "High order P-stable multistep methods," Journal of Computational and Applied Mathematics, Vol. 34, 1990, pp. 1-12.
3. PALACIOS, M., and FRANCO, J. M. "Adaptive Cowell Methods for Orbital Motions," in Orbital Mechanics and Mission Design, Advances in the Astronautical Sciences Series, Vol. 69, Univelt, San Diego, California, 1989, pp. 3-22.
4. HANSEN, P. A. "Auseinandersetzung einer Zweckmässigen Methode zur Berechnung der absoluten Störungen der Kleinen Planeten," Abh. der Math.-Phys. Cl. der Kon. Sachs. Ges. der Wissensch, Vol. 5, 1857, pp. 41-218.
5. DEPRIT, A. "Ideal Elements for Perturbed Keplerian Motions," Journal of Research of the NBS, Vol. 79B, 1975, pp. 1-15.
6. PALACIOS, M., and CALVO, C. "Quaternions and Numerical Orbit Computation," Revista de la Academia de Ciencias Zaragoza, Vol. 47, 1992, pp. 169-181.
7. PALACIOS, M., and CALVO, C. "Quaternions Formulation Versus Regularization in Numerical Orbit Computation," in Astrodynamics 1993, Advances in the Astronautical Sciences Series, Vol. 85, Pt. 3, Univelt, San Diego, California, 1993, pp. 2629-2644.
8. PALACIOS, M., ABAD, A., and ELIPE, E. "An Efficient Numerical Method for Orbit Computation," in Astrodynamics 1991, Advances in the Astronautical Sciences Series, Vol. 76, Pt. 1, Univelt, San Diego, California, 1991, pp. 265-274.
9. WHITTAKER, E. T. A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, fourth edition, Cambridge University Press, Cambridge, 1988.
10. ABAD, A., ARRIBAS, M., and ELIPE, A. "On the Attitude of a Spacecraft Near a Lagrangian Point," Bulletin of the Astronomical Institutes of Czechoslovakia, Vol. 40, 1989, pp. 302-307.
11. DEPRIT, A., ELIPE, A., and FERRER, S. "Linearization: Laplace vs. Stiefel," Celestial Mechanics and Dynamical Astronomy, Vol. 58, 1994, pp. 151-201.