Research in Celestial Mechanics and Differential Equations.

Abstract

;Contents: A geopotential representation with sampling functions; Sampling functions as an alternative to spherical harmonics; The Levi-Civita problem and the Kustaanheimo-Stiefel transformation; Resonances in the elliptic restricted problem; Characteristic exponent at L4 and L5 in the elliptic restricted problem of three bodies; Secular perturbations of periodic comets; Resonance in the restricted problem of three bodies; Two centers of libration; Motion of a space station; Reduced stability of dissipative steady motions; Kinematics on Lie groups; Delay equations; A global approach of the idea of steady motions of Lagrangean systems on manifolds.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1970
Accession Number
AD0734443

Entities

People

  • Giorgio E. O. Giacaglio
  • Luis N. F. Franca
  • Mauro O. Cesar
  • Paulo Boulos
  • Waldyr M. Oliva

Organizations

  • University of São Paulo

Tags

DTIC Thesaurus Topics

  • Celestial Mechanics
  • Differential Equations
  • Equations
  • Kinematics
  • Lie Groups
  • Mechanics
  • Partial Differential Equations
  • Resonance
  • Sampling
  • Space Stations
  • Spherical Harmonics

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris