×

The elimination of the parallax in satellite theory. (English) Zbl 0492.70024


MSC:

70M20 Orbital mechanics
70F15 Celestial mechanics
70F05 Two-body problems
37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion
70H15 Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics
85A99 Astronomy and astrophysics
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Abraham, R. and Marsden, J. E.: 1978,Foundations of Mechanics, 2nd edition, Benjamin Cummings Publishing Co., London-New York. · Zbl 0393.70001
[2] Aksnes, K.: 1965,Astroph. Norv. 10, 69.
[3] Aksnes, K.: 1966,Astroph. Norv. 10, 149.
[4] Aksnes, K.: 1969, Ph.D. dissertation, Graduate School of Yale University, New Haven, Connecticut.
[5] Aksnes, K.: 1970,Astron. J. 75, 1066.
[6] Andoyer, H.: 1913,Bull. Astron. 30, 28.
[7] Arnold, V. I.: 1978,Mathematical Methods of Classical Mechanics, translated from Russian by K. Vogtmann and A. Weinstein, Springer-Verlag, New York.
[8] Brouwer, D.: 1959,Astron. J. 64, 378.
[9] Brouwer, D. and Clemence, G. M.: 1961,Methods of Celestial Mechanics, Academic press, New York and London. · Zbl 0132.23506
[10] Cefola, P.: 1974, AIAA 12th Aerospace Sciences Meeting, Washington D. C., Paper No 74-170.
[11] Chazy, J.: 1953,Mécanique céleste-Equations canoniques et variations des constantes. Presses universitaires de France, Paris.
[12] Cid-Palacios, R.: 1969,Publ. Rev. Ac. Cienc. Zaragoza 24, 159.
[13] Claus, A. J. and Lubowe, A. G.: 1963,Astronaut Acta 9, 275.
[14] Coffey, S. L.: 1980, Manuscript in private communication prior to publication.
[15] Dasenbrock, R.: 1973, NRL Report 7564, Naval Research Laboratory, Washington D. C. 20375.
[16] Deprit, A.: 1969,Celes. Mech. 1, 12. · Zbl 0172.26002
[17] Deprit, A.: 1975,J. Res. Natl. Bur. Std. 79B, 1. · Zbl 0326.70010
[18] Deprit, A.: 1978, AIAA Paper 78-1439, AIAA/AAS Astrodynamics Conference, August 7?9, Palo Alto, California. Accepted for publication in theJourn. for Guidance and Control.
[19] Deprit, A.: 1979,Celes. Mech. 20, 325. · Zbl 0454.30002
[20] Deprit, A.: 1981,Celes. Mech. 24, 185 (this issue). · Zbl 0512.70018
[21] Deprit, A. and Richardson, D.: 1981,Celes. Mech. (submitted).
[22] Dieudonné, J.: 1960,Foundations of Modern Analysis, Academic Press, New York · Zbl 0100.04201
[23] Garfinkel, B.: 1958,Astron. J. 63, 88.
[24] Garfinkel, B.: 1959,Astron. J. 64, 353.
[25] Garfinkel, B.: 1964,Astron. J. 69, 223.
[26] Garfinkel, B. and Aksnes, K.: 1970,Astron. J. 75, 85.
[27] Goscinny, R. and Uderzo, A. 1972:Le Devin, Dargaud éditeur, Paris.
[28] Henrard, J.: 1970,Celes. Mech. 3, 107. · Zbl 0223.70011
[29] Hill, G. W.: 1902,Astron. J. 22, 183.
[30] Hori, G.: 1966,Publ. Astron. Soc. Japan 18, 287.
[31] Kernighan, B. W. and Plauger, P. J.: 1976,Software Tools, Addison-Wesley Publishing Co., Reading.
[32] Kislik, M. D.: 1961,Artificial Earth Satellites 4, 183.
[33] Koyré, A. and Cohen, I. B.: 1972,Isaac Newton’s Philosophiae Naturalis Principia Mathematica, Harvard University Press.
[34] Kozai, Y.: 1962,Astron. J. 67, 446.
[35] Lubowe, A. G.: 1964,Astron. Acta 10, 253.
[36] Lubowe, A. G.: 1966,AIAA J. 4, 361.
[37] Poincaré, H.: 1889,Comptes rendus Acad. Sc. Paris,108, 210; also inOeuvres de Henri Poincaré, t. VII, 551, Gauthier-Villars, Paris.
[38] Poincaré, H.: 1891,Comptes rendus Acad. Sc. Paris,114, 1305; also inOeuvres de Henri Poincaré, t. VII 491, Gauthier-Villars, Paris.
[39] Poincaré, H.: 1893,Les méthodes nouvelles de la mécanique céleste, t. II, pp. 17?24, Gauthier-Villars, Paris.
[40] Poincaré, H.: 1897,Bull. Astron. 14, 241; also inOeuvres de Henri Poincaré, t. VII, 516, Gauthier-Villars, Paris.
[41] Rom, A.: 1969,Celes. Mech. 1, 301. · Zbl 0193.15203
[42] Shniad, H.: 1970,Celes. Mech. 2, 114. · Zbl 0222.70022
[43] Smart, W. M.: 1953,Celestial Mechanics, Longmans, Green and Co., London.
[44] Sterne, T. E.: 1957,Astron. J. 63, 28.
[45] Sterne, T. E.: 1960,An Introduction to Celestial Mechanics, Interscience Publishers Ltd., London. · Zbl 0093.23505
[46] Tisserand, P.: 1894,Traité de mécanique céleste, t. III, Gauthier-Villars, Paris.
[47] Vinti, J. P.: 1959,J. Res. Nat. Bur. Standards 63B, 105.
[48] Whittaker, E. T.: 1904,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press. · JFM 35.0682.01
[49] Wu Lian-da, Wang Chang-bin and Tong-Fu: 1978,Acta Astron. Sinica 19, 131; English translation inChinese Astron. 3, 238.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.