Analytical Techniques of Celestial Mechanics
Autor Victor A. Brumbergen Limba Engleză Paperback – 13 dec 2011
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Specificații
ISBN-13: 9783642794568
ISBN-10: 3642794564
Pagini: 248
Ilustrații: VIII, 236 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.35 kg
Ediția:Softcover reprint of the original 1st ed. 1995
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3642794564
Pagini: 248
Ilustrații: VIII, 236 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.35 kg
Ediția:Softcover reprint of the original 1st ed. 1995
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
1 The Poisson-Series Processor.- 1.1 Universal CAS and Poisson-Series Processors.- 1.2 Operations with Poisson Series.- 1.3 Location of Poisson Series.- 2 The Keplerian Processor.- 2.1 The Keplerian Processor in Closed Form.- 2.2 The Keplerian Processor in Poisson-Series Form.- 2.3 General Terms of the Elliptic-Motion Expansions.- 2.4 The Keplerian Processor in Taylor-Series Form.- 2.5 The Keplerian Processor with the Aid of Elliptic Functions.- 2.6 Functions Involving the Coordinates of Two Bodies.- 3 Quasi-polynomial Systems.- 3.1 The N-Planet Problem in Polynomial Form.- 3.2 Kustaanheimo-Stiefel (KS) Variables.- 3.3 Hansen Coordinates and Euler Parameters.- 4 Algorithms to Solve Polynomial Systems.- 4.1 Taylor Expansions.- 4.2 Normalization and Trigonometric Expansions.- 5 The Satellite Disturbing Function.- 5.1 Expansions in Spherical Functions.- 5.2 The Recurrence Determination of Solid Spherical Harmonics.- 5.3 The Disturbing Function and Its Derivatives.- 5.4 Equations of Motion in Rotating Systems.- 6 The Planetary Disturbing Function.- 6.1 General Structure.- 6.2 Expansion Algorithms.- 6.3 Expansion with the Aid of Elliptic Functions.- 7 Iteration Techniques of Perturbation Theory.- 7.1 Iteration Versions of the Classical Methods.- 7.2 Intermediate Orbits in the N-Planet Problem.- 7.3 Iterations in the Two-Body Problem.- 8 Separation of Variables in Elements.- 8.1 The Krylov-Bogoljubov Method.- 8.2 The von Zeipel Method and Its Modifications.- 8.3 The von Zeipel Method as a “Coordinate” Method.- 8.4 The Kolmogorov-Arnold Method Using Howland’s Technique.- 9 Separation of Variables in Rectangular Coordinates.- 9.1 Reducibility of the Equations of Variations.- 9.2 The Perturbed Two-Body Problem.- 9.3 Solution Techniques.- 10 The General Planetary Theory.-10.1 The Basic Theory.- 10.2 Right-Hand Members.- 10.3 The Intermediary.- 10.4 Linear Eccentricity and Inclination Terms.- 10.5 Non-linear Terms.- 10.6 The Secular System.- 11 GPT Techniques in Minor-Planet and Lunar Problems.- 11.1 Right-Hand Members.- 11.2 The Intermediary.- 11.3 Solution Techniques.- 11.4 The Secular System.- 11.5 The Lunar Problem.- References.