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The extended phase space formulation of the Vinti problem. (English) Zbl 0384.70039


MSC:

70M20 Orbital mechanics
70-04 Software, source code, etc. for problems pertaining to mechanics of particles and systems
70H20 Hamilton-Jacobi equations in mechanics
70J99 Linear vibration theory
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References:

[1] Aksenov, E. P., Grebinokov, E. A., and Demin, V. G.: 1962.Artificial Earth Satellite 7/8, 225.
[2] Brouwer, D.: 1959,Astron. J. 64, 378. · doi:10.1086/107958
[3] Dasenbrock, R.: 1973,Algebraic Manipulation by Computer, NRL Report 7564, Naval Research Laboratory.
[4] Deprit, A. A.: 1969,Celest. Mech. 1, 12. · Zbl 0172.26002 · doi:10.1007/BF01230629
[5] Kislik, M. D.: 1961,Artificial Earth Satellites 4, 183. · doi:10.1007/978-1-4899-5929-4_14
[6] O’Mathuna, C.: 1970,Celest. Mech. 1, 467. · Zbl 0185.52404 · doi:10.1007/BF01231144
[7] Poincar?, H.: 1899,Les method nouvelles de la m?canique c?leste, Paris. Gauthier Villars.
[8] Rom, A.: 1970,Celest. Mech. 1, 201. · Zbl 0193.15203 · doi:10.1007/BF01231135
[9] Scheifele, G. and Stiefel, E. L.:Canonical Satellite Theory Based on Independent Variables Different from Time, Report to ESRO Contract No. 219/70/AR.
[10] Stiefel, E. L. and Scheifele, G.: 1971,Linear and Regular Celestial Mechanics, Springer-Verlag, New York. · Zbl 0226.70005
[11] Vinti, J. P.: 1959,J. Res. National Bureau Standards,62B, 105. · doi:10.6028/jres.063B.012
[12] Vinti, J. P.: 1961,J. Res. National Bureau Standards 65B, 169. · Zbl 0148.44701 · doi:10.6028/jres.065B.017
[13] Vinti, J. P.: 1966,J. Res. National Bureau Standards 70B, 17. · Zbl 0151.35103 · doi:10.6028/jres.070B.003
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