Cargando…
An introduction to celestial mechanics /
"This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid bo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Cambridge University Press,
2012.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; An Introduction to Celestial Mechanics; Title; Copyright; Contents; Preface; 1: Newtonian mechanics; 1.1 Introduction; 1.2 Newton's laws of motion; 1.3 Newton's first law of motion; 1.4 Newton's second law of motion; 1.5 Newton's third law of motion; 1.6 Nonisolated systems; 1.7 Motion in one-dimensional potential; 1.8 Simple harmonic motion; 1.9 Two-body problem; Exercises; 2: Newtonian gravity; 2.1 Introduction; 2.2 Gravitational potential; 2.3 Gravitational potential energy; 2.4 Axially symmetric mass distributions; 2.5 Potential due to a uniform sphere.
- 2.6 Potential outside a uniform spheroid2.7 Potential due to a uniform ring; Exercises; 3: Keplerian orbits; 3.1 Introduction; 3.2 Kepler's laws; 3.3 Conservation laws; 3.4 Plane polar coordinates; 3.5 Kepler's second law; 3.6 Kepler's first law; 3.7 Kepler's third law; 3.8 Orbital parameters; 3.9 Orbital energies; 3.10 Transfer orbits; 3.11 Elliptical orbits; 3.12 Orbital elements; 3.13 Planetary orbits; 3.14 Parabolic orbits; 3.15 Hyperbolic orbits; 3.16 Binary star systems; Exercises; 4: Orbits in central force fields; 4.1 Introduction; 4.2 Motion in a general central force field.
- 4.3 Motion in a nearly circular orbit4.4 Perihelion precession of planets; 4.5 Perihelion precession of Mercury; Exercises; 5: Rotating reference frames; 5.1 Introduction; 5.2 Rotating reference frames; 5.3 Centrifugal acceleration; 5.4 Coriolis force; 5.5 Rotational flattening; 5.6 Tidal elongation; 5.7 Tidal torques; 5.8 Roche radius; Exercises; 6 Lagrangian mechanics; 6.1 Introduction; 6.2 Generalized coordinates; 6.3 Generalized forces; 6.4 Lagrange's equation; 6.5 Generalized momenta; Exercises; 7: Rigid body rotation; 7.1 Introduction; 7.2 Fundamental equations.
- 7.3 Moment of inertia tensor7.4 Rotational kinetic energy; 7.5 Principal axes of rotation; 7.6 Euler's equations; 7.7 Euler angles; 7.8 Free precession of the Earth; 7.9 MacCullagh's formula; 7.10 Forced precession and nutation of the Earth; 7.11 Spin-orbit coupling; 7.12 Cassini's laws; Exercises; 8: Three-body problem; 8.1 Introduction; 8.2 Circular restricted three-body problem; 8.3 Jacobi integral; 8.4 Tisserand criterion; 8.5 Co-rotating frame; 8.6 Lagrange points; 8.7 Zero-velocity surfaces; 8.8 Stability of Lagrange points; Exercises; 9: Secular perturbation theory; 9.1 Introduction.
- 9.2 Evolution equations for a two-planet solar system9.3 Secular evolution of planetary orbits; 9.4 Secular evolution of asteroid orbits; 9.5 Secular evolution of artificial satellite orbits; Exercises; 10: Lunar motion; 10.1 Introduction; 10.2 Preliminary analysis; 10.3 Lunar equations of motion; 10.4 Unperturbed lunar motion; 10.5 Perturbed lunar motion; 10.6 Description of lunar motion; Exercises; Appendix A: Useful mathematics; A.1 Calculus; A.2 Series expansions; A.3 Trigonometric identities; A.4 Vector identities; A.5 Conservative fields; A.6 Rotational coordinate transformations.