Accession Number : AD0696981

Title :   RESEARCH IN CELESTIAL MECHANICS AND DIFFERENTIAL EQUATIONS.

Descriptive Note : Annual technical rept. no. 2, 15 May 68-14 May 69,

Corporate Author : SAO PAULO UNIV (BRAZIL) CENTER OF STUDIES IN CELESTIAL MECHANICS

Personal Author(s) : Giacaglia,Giorgio E. O. ; Oliva,Waldyr M. ; Onuchic,Nelson ; Cesar,Mauro O. ; Ize,Antonio F.

Report Date : MAY 1969

Pagination or Media Count : 164

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.

Descriptors :   (*CELESTIAL MECHANICS, *REPORTS), (*ORBITS, REPORTS), (*DIFFERENTIAL EQUATIONS, REPORTS), N-BODY PROBLEM, PERTURBATION THEORY, ELLIPTICAL ORBIT TRAJECTORIES, SATELLITES(ARTIFICIAL), PLANETS, TOPOLOGY, NONLINEAR DIFFERENTIAL EQUATIONS, POLYNOMIALS, DIFFERENTIAL GEOMETRY, STABILITY, RESONANCE

Subject Categories : Celestial Mechanics
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE