Accession Number:

AD0662803

Title:

THEORY OF ORBITS: THE RESTRICTED PROBLEM OF THREE BODIES,

Descriptive Note:

Corporate Author:

YALE UNIV NEW HAVEN CT

Personal Author(s):

Report Date:

1967-01-01

Pagination or Media Count:

682.0

Abstract:

The book offers the first comprehensive picture of this celebrated gravitational problem of astronomy and astrodynamics. The qualitative, quanitative, and formalistic approaches to Newtonian, Lagrangian, and Hamiltonian dynamics are presented. The contributions of Euler, Poincare, Birkoff, Stromgren, Wintner, and many others are included. Special emphasis is placed on recent applications of the method of regularization to lunar and interplanetary trajectories. Other topics include periodic orbits, stability, Kolmogorovs theorem, numerical results, libration-point problems, curves of zero velocity, canonical transformations in the extended phase space, stream- line analogy, etc. Several applications in the fields of astronomy, astrodynamics, cosmology, and space research are given. Each chapter is mathematically self-contained. More than 250 figures, several hundred references, and numerical examples are combined with an analytical approach to give the reader an informative and comprehensive study. Important references to the Soviet literature are included. The book is a definitive treatise which will also serve as a textbook and up-to-date reference. It will be of interest to astronomers, engineers, mathematicians, and physicists on graduate and advanced undergraduate level. Author

Subject Categories:

  • Celestial Mechanics
  • Spacecraft Trajectories and Reentry

Distribution Statement:

APPROVED FOR PUBLIC RELEASE