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  • Produktbild: Introduction to Celestial Mechanics
  • Produktbild: Introduction to Celestial Mechanics
Band 7

Introduction to Celestial Mechanics

Aus der Reihe Astrophysics and Space Science Library

49,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

03.04.2012

Verlag

Springer Netherland

Seitenzahl

134

Maße (L/B/H)

24,4/17/0,8 cm

Gewicht

256 g

Auflage

Softcover reprint of the original 1st ed. 1967

Sprache

Englisch

ISBN

978-94-011-7550-0

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

03.04.2012

Verlag

Springer Netherland

Seitenzahl

134

Maße (L/B/H)

24,4/17/0,8 cm

Gewicht

256 g

Auflage

Softcover reprint of the original 1st ed. 1967

Sprache

Englisch

ISBN

978-94-011-7550-0

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Introduction to Celestial Mechanics
  • Produktbild: Introduction to Celestial Mechanics
  • I / The Principles of Celestial Mechanics.- 1. The Fundamental Law of General Mechanics.- 2. General Theorems of Mechanics.- 3. Newton’s Law.- 4. The Scope and Limitations of Newton’s Law.- 5. The TV-Body Problem.- 6. Equations of the N-Body Problem.- 7. Integrals of the N-Body Problem.- II / The Two-Body Problem.- 8. The Importance of the Two-Body Problem.- 9. Absolute and Relative Motion of Two Bodies.- 10. Form of the Trajectories.- 11. Kepler’s Law.- 12. Study of Elliptical Motion.- 13. The Orbital Elements.- 14. Cartesian Coordinates of the Body.- 15. Astronomical Units in the Solar System.- III / Systems of Canonical Equations.- 16. TV-Body Problem Equations in a Relative Frame of Reference.- 17. Reductions of the Equations for a Three-Body Problem.- 18. The Case in which One of the Bodies has Negligible Mass.- 19. Canonical Form of the Equations.- 20. The Case in which F is not a Function of t.- 21. Integral of a System of Canonical Equations.- 22. Canonical Transformations of Variables.- 23. Examples of Canonical Transformations.- 24. Jacobi’s Theorem.- 25. Canonical Equations for the Two-Body Problem.- 26. Application of Jacobi’s Theorem to the Two-Body Problem.- 27. Meaning of the Constants a.- 28. Variables Conjugate to the Qi.- 29. Application of these Results to the General Problem.- 30. The Delaunay Variables.- 31. Osculating Elements.- 32. Lagrange Equations.- 33. The Case of Zero Eccentricity or Zero Inclination.- IV / Perturbation Theory.- 34. Introduction.- 35. Fourier Series.- 36. Expansion of the Eccentric Anomaly in Fourier Series.- 37. Definition of Bessel Functions.- 38. Some Properties of Bessel Functions.- 39. Expansion of cos jE and sin jE.- 40. Expression of Other Functions of the Two-Body Problem.- 41. Relation between E and v.- 42. D’Alembert’s Property.- 43. Limited Expansions in e.- 44. Convergence of Series Expanded in Powers of e.- 45. Expression of the Disturbing Function (the Case of the Moon).- 46. Reduction to the Variables of Elliptical Motion.- 47. Expansion of the Disturbing Function.- 48. Expansion in a Small Parameter.- 49. Theorems of Proof.- 50. Form of Equations with the Osculating Elements.- 51. Method of Solution.- 52. Long-Period and Short-Period Terms.- 53. Convergence of the Series of the Solution.- V / The Motion of an Artificial Satellite.- 54. The Potential of a Rigid Body.- 55. Expansion of the Potential.- 56. The Case of a Nearly Spherical Body.- 57. Equations of Motion of an Artificial Satellite.- 58. The Principle of Von Zeipel’s Method.- 59. Setting Up of the Equations.- 60. Elimination of the Mean Anomaly.- 61. Explicit Expression for S1.- 62. Calculation of ?’2.- 63. Elimination of g.- 64. Main Results: the Motion of Artificial Satellites.- 65. Application of the Lagrange Equations; First Approximation.- 66. Second Approximation with the Lagrange Equations.- 67. Comparison of the Two Methods.- 68. The Case of Very Small Eccentricity and Inclination.- 69. Critical Inclination.- 70. Libration of the Perigee near the Critical Inclination.- 71. The Phenomenon of Libration.- VI / Lunar Theory and the Motion of the Satellites.- 72. The Principal Problem of the Lunar Theory.- 73. Approximate Solution of the Main Problem.- 74. The Principal Inequalities of the Motion of the Moon.- 75. Various Lunar Theories.- 76. Delaunay’s Theory.- 77. The Theory of Hill and Brown.- 78. Hansen’s Theory.- 79. Improvement of the Theories.- 80. Problems of the Motion of Other Natural Satellites.- VII / The Planetary Theory.- 81. The Disturbing Function.- 82. First-Order Solution.- 83. Expansion of the Disturbing Function by Harmonic Analysis.- 84. Other Numerical Expansions.- 85. Perturbations by Forces in Rectangular Coordinates.- 86. Variables in Hansen’s Method.- 87. Calculation by Hansen’s Method.- 88. Higher-Order Planetary Theories.- 89. Purely Numerical Methods.- 90. The Form of Numerical Integration.- 91. Starting the Numerical Integration.- 92. The Numerical Integration Proper.- 93. Properties of Numerical Integration.- 94. The Use of Numerical Integration.- 95. Comparison between Numerical Integration and Analytical Theories.