Semi-analytical investigations of high area-to-mass ratio geosynchronous space debris including Earth's shadowing effects

Advances in Space Research

Volumn 42, Issue 8, 2008, Pages 1429-1443

  Valk, S ^a   Lemaitre A ^a  

^a UNIVERSITY OF NAMUR   (Belgium)

Author keywords

Earth's shadow; Geosynchronous orbit; High area to mass ratios; Long term evolution; Non singular variables; Radiation pressure

Indexed keywords

EARTH (PLANET); EQUATIONS OF MOTION; HAMILTONIANS; LONG TERM EVOLUTION (LTE); ORBITS; PRESSURE; RADIATION EFFECTS; SOLAR RADIATION;

EARTH'S SHADOW; GEOSYNCHRONOUS ORBITS; HIGH AREA-TO-MASS RATIOS; NON-SINGULAR VARIABLES; RADIATION PRESSURE;

SPACE DEBRIS;

EID: 49849085388     PISSN: 02731177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asr.2008.02.010     Document Type: Article

References (23)

1. Agrawal B.N. Design of Geosynchronous Spacecraft (1986), Prentice-Hall, New-Jersey
2. Aksnes K. Short-period and long-period perturbations of a spherical satellite due to direct solar radiation. Celest. Mech. Dyn. Astron. 13 (1976) 89-104
3. Allen R.R., and Cook G.E. The long-period motion of the plane of a distant circular orbit. Proc. R. Soc. Lond., Ser. A 280 (1964) 97-109
4. Anselmo, L., Pardini, C. Long-term Evolution of High Orbits: Effects of Direct Solar Radiation Pressure and Comparison of Trajectory Propagators. ISTI Technical Report 2007-TR-008, PISA, Italy, 29 March, 2007.
5. Anselmo, L., Pardini C. Orbital evolution of geosynchronous objects with high area-to-mass ratios. In: Danesy, D. (Ed.), Proceedings of the Fourth European Conference on Space Debris, ESA SP-587, ESA Publications Division, Noordwijk, The Netherlands, pp. 279-284, 2005.
6. Anselmo L., Bertotti B., Farinella P., Milani A., and Nobili A.M. Orbital perturbations due to radiation pressure for a spacecraft of complex shape. Celest. Mech. Dyn. Astron. 29 (1983) 27-43
7. Broucke R., and Cefola P. A note on the relations between true and eccentric anomalies in the two-body problem. Celest. Mech. Dyn. Astron. 7 (1973) 388
8. Chao, C.C. Analytical Investigation of GEO Debris with High Area-to-Mass Ratio, AIAA Paper No. AIAA-2006-6514, Presented at the 2006 AIAA/AAS Astrodynamics Specialist Conference, Keystone, Colorado, August 2006.
9. Chao, C.C., Applied Orbit Perturbation and Maintenance. The Aerospace Press, El Segundo, California, American Institute of Aeronautics and Astronautics, 2005.
10. Escobal P. Methods of Orbits Determination (1965), Robert E. Krieger publishing company Inc., Malabar, Florida, USA
11. Exertier P., and Métris G. Semi-analytical theory of the mean orbital motion. Astron. Astrophys. 294 (1995) 278-286
12. Ferraz Mello S. Analytical study of the Earth's shadowing effects on satellite Orbits. Celest. Mech. Dyn. Astron. 5 (1972) 80-101
13. Henrard J. On a perturbation theory using Lie transforms, Mathematics Research Laboratory, Boeing Scientific Research Laboratories. Celest. Mech. Dyn. Astron. 3 (1970) 107-120
14. Kozai, Y., Effects of Solar Radiation Pressure on the Motion of an Artificial Satellite, Smithsonian Astrophys Obs. Cambridge, MA (USA), Spec. Rep. No. 56, 1961.
15. Lála P., and Sehnal L. Bull. Astron. Inst. Czech. 20 (1969) 327-330
16. Liou, J.-C., Weaver, J.K. Orbital dynamics of high area-to-mass ratio debris and their distribution in the geosynchronous region. In: Danesy, D. (Ed.), Proceedings of the Fourth European Conference on Space Debris, ESA SP-589, ESA Publications Division, Noordwijk, The Netherlands, pp. 285-290, 2005.
17. Milani A., Nobili A.M., and Farinella P. Non-Gravitational Perturbations and Satellite Geodesy (1987), Adams Hilger, Bristol
18. Soop E.M. Handbook of geostationary orbits (1994), Kluwer Academic Publishers and Microcosm Inc., Dordrecht, The Netherlands and Torrance, CA, USA ISBN 0-7923-3054-4
19. Sylvester J.J. A method of determining by mere inspection the derivatives from two equations of any degree. Philos. Mag. 16 (1840) 132-135
20. Valk, S., Lemaître, A., Deleflie, F. Semi-analytical theory of mean orbital motion for geosynchronous space debris under gravitational influence. Adv. Space Res., submitted for publication.
21. Valk, S., Lemaître, A., Anselmo, L. Analytical and semi-analytical investigations of geosynchronous space debris with high area-to-mass ratios influenced by solar radiation pressure. Adv. Space Res., doi:10.1016/j.asr.2007.10.025, 2007b.
22. Vallado, D.A. Fundamentals of Astrodynamics and Applications with Technical Contributions. Kluwer Academic Publishers, Microcosm Press, El Segundo, CA, Dordrecht. Technical contributions by Wayne D. McClain, Space Technology Library, vol. 12, 2001.
23. Vashkoviyak S.N. The shadow function in the problem of influence of radiation pressure on the motion of artificial earth satellites. Vestn. Mosk. Un-ta Fiz., Astron. 15 (1974) 584-590