Semianalytic theory of motion for close-Earth spherical satellites including drag and gravitational perturbations

Planetary and Space Science

Volumn 52, Issue 14, 2004, Pages 1233-1249

  Bezdek A ^a   Vokrouhlicky D ^b  

^a ASTRONOMICAL INSTITUTE   (Czech Republic)

^b CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Atmospheric drag; LEO satellites; Satellite lifetimes; Space debris

Indexed keywords

COMPUTATIONAL METHODS; DRAG; EARTH (PLANET); GEOMAGNETISM; GRAVITATIONAL EFFECTS; INTEGRATION; INTERNET; MASS SPECTROMETERS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; RADAR MEASUREMENT; SPACE DEBRIS; SPACE RESEARCH;

ATMOSPHERIC DRAG; GEOMAGNETIC EFFECTS; LEO SATELLITES; SATELLITE LIFETIMES;

SATELLITES;

EID: 10644266219     PISSN: 00320633     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pss.2004.08.004     Document Type: Article

References (78)

1. Barlier, F., Berger, C., 1983. A point of view on semi-empirical thermospheric models. Planet. Space Sci. 31 (9), 945-966.
2. Earlier, F., Berger, C., Falin, J.L., Kockarts, G., Thuillier, G., 1978. Ann. Geophys. 34, 9-24.
3. Berger, C., Barlier, F., 1981. Asymmetrical structure in the thermosphere during magnetic storms as deduced from the CACTUS accelerometer data. Adv. Space Res. 1, 231-235.
4. Berger, C., Biancale, R., Ill, M., Barlier, F., 1998. Improvement of the empirical thermospheric model DTM: DTM94 - a comparative review of various temporal variations and prospects in space geodesy applications. J. Geodesy 72, 161-178.
5. -9 g. Acta Astronaut. 6, 1387-1398.
6. Breiter, S., Métris, G., 1999. Symplectic mapping for satellites and space debris including nongravitational forces. Celest. Mech. Dyn. Astron. 71, 79-94.
7. Brouwer, D., 1963. Review of celestial mechanics. Ann. Rev. Astron. Astrophys. 1, 219-234.
8. Brouwer, D., Hori, G., 1961. Theoretical evaluation of atmospheric drag effects in the motion of an artificial satellite. Astron. J. 66, 193-225.
9. Bruinsma, S.L., Exertier, P., Biancale, R., 1999. An assessment of new satellite total density data for improving upper atmosphere models. Planet. Space Sci. 47, 1465-1473.
10. Casotto, S., 1991. Spectral decomposition of geopotential. Earth and ocean tidal perturbations in linear satellite theory. Celest. Mech. Dyn. Astron. 50, 125-141.
11. Cook, G.E., 1966. Perturbations of near-circular orbits by the Earth's gravitational potential. Planet. Space Sci. 14, 433-444.
12. Cox, C.M., Lemoine, F.G., 1999. Precise orbit determination of the low altitude spacecraft, TRMM, GFZ-1, and EP/EUVE using improved drag models. AAS 99-189. Adv. Astronaut. Sci. 102, 1277.
13. Danielson, D.A., Sagovac, C.P., Neta, B., Early, L.W., 1995. Semianalytic satellite theory (SST): mathematical algorithms. NPS-MA-95-002, Technical Report Naval Postgraduate School, Monterey, CA.
14. de Lafontaine, J., Hughes, P., 1983. An analytic version of Jacchia's 1977 model atmosphere. Celestial Mech. 29, 3-26.
15. Delhaise, F., 1991. Analytical treatment of air drag and Earth oblateness effects upon an artificial satellite. Cel. Mech. Dyn. Astron. 52, 85-103.
16. Deleflie, F., Métris, G., Exertier, P., 2004a. Circular orbits: how defining a variation of the perigee really secular. Celest. Mech. Dyn. Astron., in press.
17. Deleflie, F., Métris, G., Exertier, P., 2004b. An analytical solution of the Lagrange planetary equations valid also from very low eccentricities. Celest. Mech. Dyn. Astron., submitted for publication.
18. Falin, J.-L., Kockarts, G., Barlier, F., 1981. Densities from the CACTUS accelerometer as an external test of the validity of the thermospheric models. Adv. Space Res. 1 (12), 221-225.
19. Fitzpatrick, P.M., 1970. Principles of Celestial Mechanics. Academic Press, New York.
20. Fonte, D.J., Neta, B., Sabol, C., Danielson, D.A., Dyar, W.R., 1995. Comparison of Orbit Propagators in the Research and Development Goddard Trajectory Determination System (R&D GTDS). Part I: Simulated Data. AAS 95-431, Proceedings of AAS/AIAA Astrodynamics Specialist Conference, Halifax, Nova Scotia, August 14-17.
21. Giacaglia, G.E.O., 1973. Lunar perturbations on artificial satellites of the Earth. SAO Special Report, 352.
22. Gill, E., 1996. Smooth Bi-polynomial Interpolation of Jacchia 1971 Atmospheric Densities For Efficient Satellite Drag Computation. DLR-GSOC IB 96-1.
23. Gooding, R.H., 1981. On the generation of satellite position /and velocity/ by a mixed analytical-numerical procedure. Adv. Space Res. 1 (6), 83-93.
24. Hedin, A.E., 1983. A revised thermospheric model based on mass spectrometer and incoherent scatter data: MSIS-83. J. Geophys. Res. 88, 10,170.
25. Hedin, A.E., 1987. MSIS-86 thermospheric model. J. Geophys. Res. 92, 4649.
26. Hedin, A.E., 1991. Extension of the MSIS thermosphere model into the middle and lower atmosphere. J. Geophys. Res. 96, 1159.
27. Helali, Y.E., 1987. Perturbations in the perigee distance due to atmospheric drag for artificial Earth satellites. Bull. Astron. Inst. Czech. 38, 329-334.
28. Hoots, F.R., France, R.G., 1987. An analytic satellite theory using gravity and a dynamic atmosphere. Celestial Mech. 40, 1-18.
29. Hoots, F.R., France, R.G., 1997. The future of artificial satellite theories. Celestial Mech. 66, 51-60.
30. Hoots, F.R., Roehrich, R.L., 1980. Models for propagation of NORAD element sets. Project Spacecraft Report No. 3, Aerospace Defense Command, United States Air Force; package compiled by T.S. Kelso, 1988, http://celestrak.com/.
31. Jacchia, L.G., 1959a. Two atmospheric effects in the orbital acceleration of artificial satellites. Nature 183, 526-527.
32. Jacchia, L. G., 1959b. Solar effects on the acceleration of artificial satellites. SAO Special Report 29.
33. Jacchia, L.G., 1960. A variable atmospheric-density model from satellite accelerations. SAO Special Report 39.
34. Jacchia, L.G., 1961. The atmospheric drag of artificial satellites during the October 1960 and November 1960 events. SAO Special Report 62.
35. Jacchia, L.G., 1964. Static diffusion models of the upper atmosphere with empirical temperature profiles. SAO Special Report 170.
36. Jacchia, L.G., 1970. New static models of the thermosphere and exosphere with empirical temperature profiles. SAO Special Report 313.
37. Jacchia, L.G., 1971. Revised static models of the thermosphere and exosphere with empirical temperature profiles. SAO Special Report 332.
38. Jacchia, L.G., 1977. Thermospheric temperature, density, and composition: new models. SAO Special Report 375.
39. Jacchia, L.G., Slowey, J., 1962a. Preliminary analysis of the atmospheric drag of the twelve-foot balloon satellite (1961 δ1). SAO Special Report 84.
40. Jacchia, L.G., Slowey, J., 1962b. Accurate drag determinations for eight artificial satellites: atmospheric densities and temperatures. SAO Special Report 100.
41. Jupp, A.H., 1975. The problem of the criticial inclination revisited. Celestial Mech. 11, 361-378.
42. Jupp, A.H., 1976. Some investigations into the atmospheric drag problem. Celestial Mech. 14, 335-339.
43. Kaula, W.M., 1962. Development of the lunar and solar disturbing functions for a close satellite. Astron. J. 67, 300-303.
44. Kaula, W.M., 1966. Theory of Satellite Geodesy. Blaisdell, Waltham MA.
45. King-Hele, D., 1964. Theory of Satellite Orbits in an Atmosphere. Butterworth, London.
46. King-Hele, D., 1978. Comment on the Paper 'Some investigations into the atmospheric drag problem' by A.H. Jupp. Celestial Mech. 18, 163-164.
47. King-Hele, D.G., Walker, D.M.C., 1959. Irregularities in the density of the upper atmosphere: results from satellites. Nature 183, 527-529.
48. King-Hele, D., Walker, D.M.C., 1983. Upper-atmosphere zonal winds from satellite orbit analysis. Planet. Space Sci. 31, 509-535.
49. Kozai, Y., 1959. The motion of a close earth satellite. Astron. J. 64, 367-377.
50. Kozai, Y., 1973. A new method to compute lunisolar perturbations in satellite motions. SAO Special Report 349.
51. Laplace, P.S., 1805. Traité de Mécanique Céleste, Tom IV, Par 2. Courcier, Paris.
52. Lathuillère, C., Menvielle, M., Lilensten, J., Amari, T., Radicella, S.M., 2002. From the Sun's atmosphere to the Earth's atmosphere: an overview of scientific models available for space weather developments. Ann. Geophys. 20, 1,081-1,104.
53. Marcos, F.A., 2002. AFRL Satellite Drag Research. The 2002 Core Technologies for Space Systems Conference, Colorado Springs, Colorado, November 19-21, http://www.spacecoretech.org/coretech2002/.
54. Mayr, H.G., Harris, I., Hedin, A.E., Spencer, N.W., Wharton, L.E., 1984. Thermospheric superrotation revisited. J. Geophys. Res. 89, 5,613-5,624.
55. Milani, A., Nobili, A.M., Farinella, P., 1987. Nongravitational Perturbations and Satellite Geodesy. A. Hilger, Bristol.
56. Moe, M.M., Wallace, S.D., Moe, K., 1993. Refinements in determining satellite drag coefficients: method for resolving density discrepancies. J. Guidance Control Dyn. 16, 441-445.
57. Moe, K., Moe, M.M., Wallace, S.D., 1996. Drag coefficients of spheres in free-molecular flow, AAS 96-126. Adv. Astronaut. Sci. 93, 391-405.
58. Moe, K., Moe, M.M., Wallace, S.D., 1998. Improved satellite drag coefficient calculations from orbital measurements of energy accommodation. J. Spacecraft Rockets 35 (3), 266-272.
59. Montenbruck, O., Gill, E., 2001. Satellite Orbits. Springer, Berlin.
60. Moore, R.G., et al., 2003. Upper atmospheric densities derived from Starshine spacecraft orbits, presented at 17th Annual AIAA Conference on Small Satellites, Utah.
61. Musen, P., 1961. On the long-period lunar and solar effects on the motion of an artificial satellite. J. Geophys. Res. 66, 2,797-2,805.
62. Newton, I., 1687. Philosophiae Naturalis Principia Mathematica. Book II, Section IV, London; English translation by F. Cajori, Newton's Principia, University of California Press, Berkeley, 1934.
63. Owens, J.K., Vaughan, W.W., Niehuss, K.O., Minow, J., 2000. Space weather, earth's neutral upper atmosphere (thermosphere), and spacecraft orbital lifetime/dynamics. IEEE Trans. Plasma Sci. 28(6), http://www.eng.auburn.edu/users/kirkih/UZB411E-lectures/HW-3_Reading.pdf, pp. 1920-1930.
64. Picone, J.M., Hedin, A.E., Drob, D.P., Aikin, A.C., 2002. NRLMSISE-00 empirical model of the atmosphere: statistical comparisons and scientific issues. J. Geophys. Res. 107 (A12), 1468.
65. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., 1992. Numerical recipes in Fortran. Cambridge University Press, Cambridge.
66. Reynolds, R., Eichler, P., Bade, A., Krisko, P., Johnson, N., 1999. Sensitivity analysis of the orbital debris environment using the EVOLVE 4.0 model. Adv. Space Res. 23 (1), 175-185.
67. Rossi, A., Anselmo, L., Cordelli, A., Farinella, P., Pardini, C., 1998. Modelling the evolution of the space debris population. Planet. Space Sci. 46, 1583-1596.
68. Šegan, S., 1988. Analytical computation of atmospheric drag effects. Celestial Mech. 41, 381-388.
69. Sehnal, L., 1988. Thermospheric total density model TD. Bull. Astron. Inst. Czech. 39, 120-127.
70. Sehnal, L., 1990a. Theory of the motion of an artificial satellite in the Earth atmosphere. Adv. Space Res. 10 (3-4), 297-301.
71. Sehnal, L., 1990b. Comparison of the thermosphere total density model TD 88 with CIRA 86. Adv. Space Res. 10 (6), 27-31.
72. Sehnal, L., Pospíšilová, L., 1988. Thermospheric model TD88. Preprint No. 67 of the Astronomical Institute of Czechoslovakian Academy of Sciences.
73. Sehnal, L., Pospíšilová, L., 1991. Lifetime of the ROHINI A satellite. Bull. Astron. Inst. Czech. 42, 295-297.
74. Sterne, T.E., 1960. An Introduction to Celestial Mechanics. Interscience Publishers, New York.
75. Villain, J.-P., Berger, C., Barlier, F., 1979. Analysis of thermospheric density enhancement and observation of perturbations in the equatorial zone during a magnetic storm. C. Rend. Acad. Sci. Paris 289, 25-28.
76. Walker, R., Crowther, R., Swinerd, G.G., 1997. The long-term implications of operating satellite constellations in the low Earth orbit debris environment. Adv. Space Res. 19 (2), 355-358.
77. Wharton, L.E., Spencer, N.W., Mayr, H.G., 1984. The Earth's thermospheric superrotation from Dynamics Explorer 2. Geophys. Res. Lett. 11, 531-533.
78. Zarrouati, O., 1987. Trajectoires Spatiales. Cepaudes-Editions, Toulouse.