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Transformations of the perturbed two-body problem to unperturbed harmonic oscillators. (English) Zbl 0516.70013


MSC:

70F05 Two-body problems
70-08 Computational methods for problems pertaining to mechanics of particles and systems
70K20 Stability for nonlinear problems in mechanics
70M20 Orbital mechanics
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[1] Bond, V. and Janin, G.: 1981,Celes. Mech. 23, 159. · Zbl 0462.70007 · doi:10.1007/BF01229551
[2] Bond, V. and Szebehely, V.: 1982a, ?Transformations of the Two-Body Problem to Harmonic Oscillators,? NASA-JSC-17933, March 1982.
[3] Brouwer, D. and Clemence, G.: 1961,Methods of Celestial Mechanics, Academic Press, New York and London. · Zbl 0132.23506
[4] Hagihara, Y.: 1970?1976,Celes. Mech. Vols. 1?5, MIT Press, Cambridge, Massachusetts, and Japan Society for Promotion of Science, Tokyo.
[5] Kustaanheimo, P. and Stiefel, E.: 1965,J. reine angewandte Math. 218, 204.
[6] Levi-Civita, T.: 1903,Ann. Math. (3) 9, 1.
[7] Nacozy, P. E.: 1977,Celes. Mech. 16, 309. · Zbl 0376.70013 · doi:10.1007/BF01232657
[8] Stiefel, E. and Scheifele: 1971,Linear and Regular Celestial Mechanics, Springer Verlag, Berlin and New York. · Zbl 0226.70005
[9] Sundman, K. F.: 1912,Acta. Math. 36, 105. · JFM 43.0826.01 · doi:10.1007/BF02422379
[10] Szebehely, V.: 1967,Theory of Orbits, The Restricted Problem of Three Bodies, Academic Press, New York and London. · Zbl 0202.56902
[11] Szebehely, V. and Bond, V.: 1982b, ?Equations for Autonomous Orbit Calculations?, NASA-JSC-18280, June 1982.
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