ATESAT: A symbolic processor for artificial satellite theory

Mathematics and Computers in Simulation

Volumn 45, Issue 5-6, 1998, Pages 497-510

  Abad, A ^a   Elipe, A ^a   Palacian J ^a,b   San Juan, J F ^a,c  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b PUBLIC UNIVERSITY OF NAVARRE   (Spain)

^c UNIVERSITY OF LA RIOJA   (Spain)

Author keywords

Algebraic manipulators; Artificial satellite theory; Poisson series

Indexed keywords

ALGEBRA; CALCULATIONS; COMPUTATIONAL METHODS; FUNCTIONS;

ALGEBRAIC MANIPULATORS; ARTIFICIAL SATELLITE THEORY; CELESTIAL MECHANICS; POISSON SERIES;

SATELLITES;

EID: 0032022303     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(97)00125-0     Document Type: Article

References (30)

1. A. Abad, J.F. San Juan, PSPC: A poisson series processor coded in C, in: S. Kurzyńska et al. (Eds.), Dynamics and Astrometry of Natural and Artificial Celestial Bodies, Poznan, Poland, 1993, pp. 383-389.
2. A. Abad, J.F. San Juan, ATESAT: Software tool for obtaining automatically ephemeris from analytical simplifications, in: A. Elipe, P. Pâquet (Eds.), Conseil de L'Europe. Cahiers du Centre Européen de Géodynamique et de Séismologie, Luxembourg, 10, 1995, pp. 93-98.
3. A. Abad, J.F. San Juan, PSPCLink: A coorperation between general symbolic and poisson series processors, Journal of Symbolic Computation 24 (1997) 113-122.
4. K.T. Alfriend, S.L. Coffey, Elimination of the perigee in satellite problem, Celestial Mechanics 32 (1984) 163-172.
5. S.L. Coffey, K.T. Alfriend, An analytical orbit prediction program generator, J. Guidance, Control and Dynamics 7 (1984) 575-581.
6. N.N. Bogoliubov, Y.A. Mitropolski, Asymptotic Methods in The Theory of Non-Linear Oscillations, Gordon and Breach, New York, 1961.
7. R. Broucke, K. Garthwaite, A programming system for analytical series expansions on a computer, Celestial Mechanics 1 (1969) 271-284.
8. D. Brouwer, Solution of the problem of artificial satellite theory without drag, The Astronomical Journal 64 (1959) 378-397.
9. D. Brouwer, G.M. Clemence, Methods of Celestial Mechanics, Academic Press, New York, 1961.
10. R. Cid, J.F. Lahulla, Perturbaciones de segundo orden y corto periodo para el movimiento de un satélite artificial, en las variables de Hill, Rev. Acad. Ciencias de Zaragoza 26 (1971) 333-343.
11. S.L. Coffey, A. Deprit, Third order solution to the main problem in satellite theory, J. Guidance, Control and Dynamics 5 (1982) 366-371.
12. R.R. Dasenbrock, A FORTRAN-based program for computerized algebraic manipulation, Tech. rep. National Research Laboratory Report, 8611, 1982.
13. A. Deprit, Canonical transformations depending on a small parameter, Celestial Mechanics 1 (1969) 12-30.
14. A. Deprit, The elimination of the parallax in satellite theory, Celestial Mechanics 24 (1981) 111-153.
15. A. Deprit, Delaunay normalisations, Celestial Mechanics 26 (1982) 9-21.
16. A. Deprit, L'Algèbre symbolique en mécanique céleste, in: S. Ferraz-Mello et al (Eds.), Dynamics, Ephemerides and Astrometry of The Solar System, IAU Symposium No. 72, Kluwer, Dordrecht, 1996, pp. 267-282.
17. A. Deprit, J. Henrard, A. Rom, Analytical lunar ephemeris: Delaunay's theory, The Astronomical Journal 76 (1971) 269-272.
18. A. Deprit, A. Rom, The main problem of artificial satellite theory for small and moderate eccentricities, Celestial Mechanics 2 (1970) 166-206.
19. A. Deprit, S. Ferrer, Simplifications in the theory of artificial satellites, Journal of the Astronautical Sciences 37 (1989) 464-541.
20. A. Deprit, B. Miller, Simplify or Perish, Celestial Mechanics 45 (1989) 189-200.
21. A. Deprit, J. Palacián, The Relegation Simplification (manuscript in preparation), 1997.
22. J. Henrard, On a perturbation theory using Lie transforms, Celestial Mechanics 3 (1970) 107-120.
23. J. Henrard, A survey on Poisson series processors, Celestial Mechanics 45 (1989) 245-253.
24. Y. Kozai, Second order solution of artificial satellite theory without drag, The Astronomical Journal 67 (1962) 446-461.
25. K.R. Meyer, G.R. Hall, Introduction to Hamiltonian dynamical systems and the N-body problem, Applied Mathematical Sciences, vol. 90, Springer, New York, 1992.
26. C. Osácar, J. Palacián, Decomposition of functions for elliptic orbits, Celes. Mech. & Dynam. Astron. 60 (1994) 207-223.
27. J.F. Palacián, Teoría del satélite artificial: Armónicos teserales y su relegación mediante simplificaciones algebraicas, Ph.D. thesis, Universidad de Zaragoza, 1992.
28. A. Rom, Mechanized algebraic operations (MAO), Celestial Mechanics 1 (1970) 301-319.
29. J.F. San-Juan, Manipulación algebraica de series de poisson. Aplicación a la teoria del satélite artificial, Ph.D. thesis, Universidad de Zaragoza, 1996.
30. S. Wolfram, Mathematica™, A System for Doing Mathematics by Computer, Addison-Wesley, Reading, MA, 1988.