RESEARCH IN CELESTIAL MECHANICS AND DIFFERENTIAL EQUATIONS.

Abstract

Celestial mechanics: Regularization of the general problem of n bodies - Regularization for the motion in an oblate field - Numerical experiments for Earth-Moon trajectories - Motion of Pluto - Motion of resonant asteroids - New method of solution of Hill's equations - New method of general perturbations - Stability of triangular points in the Elliptic Restricted Problem - New ways in the Elliptic Restricted Problem. Differential equations: Existence and uniqueness theorem for a semi-normal system of ordinary differential equations - Necessary and sufficient condition of involution for a system of partial differential equations - La Salle's invariance principle for multidimensional dynamical systems - Functional differential equations on compact manifolds and an approximation theorem - Reduced Liapunov stability of steady motions. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1968
Accession Number
AD0675334

Entities

People

  • Giorgio E. O. Giacaglia
  • J. L. A. N. F. Junqueira
  • L. N. F. Franca
  • M. O. Cesar
  • W. M. Oliva

Organizations

  • University of São Paulo

Tags

DTIC Thesaurus Topics

  • Asteroids
  • Celestial Mechanics
  • Differential Equations
  • Equations
  • Invariance
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Orbits
  • Partial Differential Equations
  • Perturbations
  • Real Variables
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Space Exploration and Orbital Mechanics.