1. Dynamical Principles -- 1.1. Gravitational equilibrium -- 1.2. Dynamical equations -- 1.3. Dynamics of solid bodies -- 1.4. Transport -- 1.5. Magnetohydrodynamics -- 1.6. Conservation of magnetism and vorticity -- 1.7. Kinetic theory -- Problems -- 2. The Gravitational Field of a Planet -- 2.1. Spherical harmonics -- 2.2. Harmonic representation of the gravity field of a planet -- 2.3. Low order gravitational potential -- 2.4. Fine structure of the gravity field of the earth -- Problems -- 3. The Rotation of the earth and other Planets -- 3.1. Measurements of time and distance -- 3.2. Rotating frames -- 3.3. Slow rotation of a fluid body -- 3.4*. Equilibrium shapes of bodies in rapid rotation -- 3.5. Rigid body dynamics: free precession -- 3.6*. The rotation of the earth and its interior structure -- Problems -- 4. Tidal Effects -- 4.1. Lunisolar precession and nutation -- 4.2. Tidal potential -- 4.3. Tides in a non-rigid earth -- 4.4. Tidal harmonics -- 4.5*. Equilibrium shapes of satellites -- Problems -- 5. The Interior of the Earth -- 5.1. Seismic propagation -- 5.2*. Boundary effects -- 5.3. Internal structure of the earth -- 5.4. Heat generation and flow -- 5.5. Tectonic motions -- Problems -- 6. Planetary Magnetism -- 6.1. The main dipole field -- 6.2. Magnetic harmonics and anomalies -- 6.3. Secular changes and reversals -- 6.4*. The generation of planetary magnetic fields -- Problems -- 7. Atmospheres -- 7.1. The structure of the atmosphere -- 7.2*. Radiative transfer -- 7.3*. Gray atmospheres -- 7.4. Dynamics of the atmosphere and the oceans -- 7.5. Tropospheric turbulence -- Problems -- 8. The Upper Atmosphere -- 8.1. Ionizing effects of the solar radiation -- 8.2. Propagation of electromagnetic waves in an electron plasma -- 8.3. Electromagnetic propagation in the ionosphere -- 8.4. Structure and mass motion -- Problems -- 9. Magnetosphere -- 9.1. The guiding centre approximation -- 9.2. Trapped particles -- 9.3. Alfvén waves -- 9.4. The bow shock of the magnetosphere -- 9.5. Interaction between the solar wind and the magnetosphere -- 9.6*. Energetic particles in the magnetosphere -- Problems -- 10. The Two-Body Problem -- 10.1. Reduction to a central force problem -- 10.2. Keplerian orbits -- 10.3. Three-dimensional orbital elements -- 10.4. Unbound orbits -- Problems -- 11. Perturbation Theory -- 11.1. Gauss' perturbation equations -- 11.2. Qualitative discussion of some perturbations -- 11.3. Effects of atmospheric drag -- 11.4. The perturbing function and Lagrange's perturbation equations -- 11.5. Approximate solution methods -- 11.6. Secular effects of the oblateness of the primary -- Problems -- 12. The Restricted Three-Body Problem -- 12.1. Equations of motion and the Jacobi constant -- 12.2. Lagrangian points and zero-velocity curves -- 12.3. Stability of the Lagrangian points -- 12.4*. Tisserand's invariant -- Problems -- 13. The Sun and the Solar Wind -- 13.1. The sun and its radiation -- 13.2. Mathematical theory of the solar wind -- 13.3. Structure of the corona and the solar wind -- 13.4. Planetary magnetospheres -- Problems -- 14. The Planetary System -- 14.1. Planets -- 14.2. Satellites -- 14.3. Asteroids -- 14.4. Comets -- 14.5. Interplanetary material and meteorites -- 14.6. Planetary rings and the Roche limit -- 14.7*. From boulders to planets -- Problems -- 15. Dynamical Evolution of the Solar System -- 15.1. Secular perturbations and the stability of the solar system -- 15.2*. Resonances and chaotic behavior -- 15.3. Tidal evolution of orbits -- 15.4. Dynamics of dust particles -- Problems -- 16. Origin of the Solar System -- 16.1. Mass and structure of the solar nebula -- 16.2. Growth and settling of solid grains -- 16.3. Gravitational instability and formation of planetesimals -- 16.4. Collisional accumulation of planetesimals -- 16.5. Accretion -- 16.6. Formation of giant planets and minor bodies -- Problems -- 17. Relativistic Effects in the Solar System -- 17.1. Curvature of spacetime -- 17.2. Geodesics -- 17.3. Dynamics as geometry -- 17.4. Slow motion, relativistic dynamics -- 17.5. The Doppler effect -- 17.6. Relativistic dynamical effects -- 17.7*. Gravitomagnetism -- Problems -- 18. Artificial Satellites -- 18.1. Perturbations -- 18.2. Launch -- 18.3. Spacecraft -- 18.4. Geostationary satellites -- 18.5. Interplanetary navigation -- Problems -- 19. Space Telecommunications -- 19.1. The power budget -- 19.2. Spectra -- 19.3. Noise -- 19.4. Phase measurements -- 19.5. Refraction and dispersion -- 19.6*. Propagation in a random medium -- Problems -- 20. Precise Measurements in Space -- 20.1*. Least -squares fits -- 20.2. Laser tracking -- 20.3. Space astrometry -- 20.4. Planetary imaging -- 20.5. Very Long Baseline Interferometry -- 20.6. Testing relativity in space -- Problems.