RESEARCH IN CELESTIAL MECHANICS AND DIFFERENTIAL EQUATIONS.

Abstract

Contents: Celestial Mechanics: Trigonometric Interpolation Parametric Representation of Resonance in the Restricted Problem, Resonances in the Restricted Problem, Double Resonance in the Motion of a Satellite, An Approach to the Elliptic Restricted Problem of Three Bodies, Motion in the Neighborhood of L sub 1 in the Sun Perturbed Earth-Moon System. Differential Equations: Lagrangian Systems on Manifolds, - Reduced Liapunov Stability of Steady Motions, The La Salle Invariance Principle for Multidimensional Dynamical Systems, Stability Properties of a Second Order Differential Equation, Asymptotic Equivalence Between two Systems of Ordinary Differential Equations, Asymptotic Behavior and Existence of Periodic Solutions of a Class of Non-Linear Ordinary Differential Equations of the Second Order, Alekseev's Integral Formula and Applications in Stability Problems.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1969
Accession Number
AD0696981

Entities

People

  • Antonio F. Ize
  • Giorgio E. O. Giacaglia
  • Mauro O. Cesar
  • Nelson Onuchic
  • Waldyr M. Oliva

Organizations

  • University of São Paulo

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Celestial Mechanics
  • Differential Equations
  • Equations
  • Integrals
  • Interpolation
  • Invariance
  • Mathematics
  • Mechanics
  • Resonance

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space
  • Space - Orbital Debris