Preface -- Author biography -- Introduction : getting started -- List of the simulation programs -- How to operate the simulation programs -- Keplerian motions in celestial mechanics -- Numerical and analytical methodsHodograph of the velocity vector for Keplerian motion -- Hodograph of the velocity for closed orbits -- Hodograph of the velocity for open orbitsOrbits of satellites and trajectories of missiles -- Families of Keplerian orbits -- Evolution of an orbit in the atmosphereActive maneuvers in space orbits -- How to operate the program -- Space flights and orbital maneuvers -- Relative motion of bodies in space orbits -- Space probes and relative motion -- Rendezvous in space and interplanetary flightsPrecession of an equatorial orbitBinary stars : the two-body problemThree-body systems -- The restricted three-body problem -- Managing the program 'Planet with a satellite' -- Satellites of a planet that orbits a star -- Exact particular solutions to the three-body problem -- A space flight over the back side of the Moon -- Lunar perturbations of a satellite's orbit -- A space voyage to a distant planet and back -- Comets : interplanetary vagabonds -- A double star with a planetMany-body systems in celestial mechanics -- Planetary system : a many-body problem -- A model of the Solar System -- Hypothetical planetary systems and heavenly catastrophes -- Multiple stars -- Exact particular solutions to the many-body problemPhenomena and concepts in celestial mechanics : an introductory approach -- Newton's law of universal gravitation -- Potential energy of a body in the Newtonian gravitational field -- Circular velocity and escape velocity -- Geometric properties of Keplerian orbits -- Initial conditions and parameters of Keplerian orbits -- A satellite in the atmosphere -- Trajectories of a landing module -- A space probe -- Space rendezvous -- Kepler's laws and the solar system -- An approximate approach to the restricted three-body problemTheoretical background -- Angular momentum and areal velocity -- Dynamical derivation of Kepler's first law -- Kepler's third law -- A hodograph of the velocity vector for Keplerian motion -- Another derivation of Kepler's first law -- A family of orbits with equal energies and a common initial point -- Relative orbital motion -- The gravitational field of a distorted planet -- The two-body problem -- Exact particular solutions to the three-body problem -- The non-restricted three-body problem -- The sphere of gravitational action -- The oceanic tidesGlossary.