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Motions of celestial bodies : computer simulations / by Eugene Butikov.

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Bibliographic Details
Online Access: Online Access
Main Author: Butikov, E. I. (Evgeniĭ Ivanovich) (Author)
Format: eBook
Language:English
Published: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2014]
Series:IOP expanding physics.
Subjects:
Astrophysics.
Rotational motion > Computer simulation.
Table of Contents:
  • 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 methods.
  • 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 methods.
  • Hodograph of the velocity vector for Keplerian motion
  • Hodograph of the velocity for closed orbits
  • Hodograph of the velocity for open orbits.
  • Orbits of satellites and trajectories of missiles
  • Families of Keplerian orbits
  • Evolution of an orbit in the atmosphere.
  • Active 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 flights.
  • Precession of an equatorial orbit.
  • Binary stars : the two-body problem.
  • Three-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 planet.
  • Many-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 problem.
  • Phenomena 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 problem.
  • Theoretical 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 tides.
  • Glossary.

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