Symplectic mapping for satellites and space debris including nongravitational forces

Celestial Mechanics and Dynamical Astronomy

Volumn 71, Issue 2, 1998, Pages 79-94

  Breiter, Sławomir ^a   Métris, Gilles ^b  

^a ADAM MICKIEWICZ UNIVERSITY   (Poland)

^b UNIVERSITÉ CÔTE D'AZUR   (France)

Author keywords

Artificial satellites; Space debris; Symplectic integrators

Indexed keywords

EID: 0007563810     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008356915763     Document Type: Article

References (15)

1. _, 1992: The Astronomical Almanac for the Year 1993, U.S. Government Printing Office/HMSO, Washington/London.
2. Bendisch, J.-U., 1994: Die langfristige Entwicklung von Erdumlaufbahnen im Hinblick auf die Objektdichte im Erdnahen Weltraum, Verlag Shaker, Aachen.
3. Breiter, S. and Métris, G., 1997: 'Modelling space debris orbits by symplectic mapping technique', in: Proc. Second European Conf. on Space Debris, ESA SP-393, pp. 317-322.
4. Brouwer, D., 1959: 'Solution of the problem of artificial satellite theory without drag', Astron. J. 64, 378-397.
5. Coffey, S., Deprit, A. and Deprit, E., 1994: 'Frozen orbits for satellites close to an earth-like planet', Celest. Mech. Dynam. Astron. 59, 37-72.
6. Gooding, R. H., 1971: 'A recurrence relation for inclination functions', Celest. Mech. 2, 91-98.
7. Hoots, F. R. and France, R. G., 1987: 'An analytic satellite theory using gravity and a dynamic atmosphere', Celest. Mech. 40, 1-18.
8. Métris, G., 1991: 'Théorie du Mouvement du Satellite Artificiel', Doctoral Dissertation, Observatoire de Paris.
9. Siebold, K. H. and Reynolds, R. C., 1995: 'Lifetime reduction of geosyncronous transfer orbits with the help of lunar-solar perturbations', Adv. Space Res. 16, (11)155-(11)161.
10. Sanz-Serna, J. M. and Calvo, M. P., 1994: Numerical Hamiltonian Problems, Chapman & Hall, London/Glasgow/New York/Tokyo/Melbourne/Madras, pp. 72-74.
11. Sterne, T. E., 1959: 'Effect of the rotation of a planetary atmosphere upon the orbit of a close satellite', Am. Rocket Soc. J. 29, 777-782.
12. Wnuk, E., 1989: 'Tesseral harmonic perturbations for high order and degree harmonics', Celest. Mech. 44, 179-192.
13. Yoshida, H., 1993: 'Recent progress in the theory and application of symplectic integrators', Celest. Mech. 56, 27-43.
14. Zarouatti, O., 1987: Trajectoires Spatiales, Cepadues-Editions, Toulouse, pp. 129-130.
15. Zeldovich, Y. B. and Myškis, A. D., 1976: Elements of Applied Mathematics, Mir, Moscow, pp. 76-82.