STABILITY OF THE TRIANGULAR LAGRANGIAN POINTS

Abstract

Leontovich has proved that the triangular equilibrium positions in the planar Restricted Problem of Three Bodies are stable for almost all admissible mass ratios. It is shown here that the set of exceptional mass ratios for which stability remains to be proved or invalidated contains only one point besides the critical mass ratios of order two and three.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1966
Accession Number
AD0645547

Entities

People

  • A. Deprit

Organizations

  • Boeing

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Coefficients
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Frequency
  • Hamiltonian Functions
  • Intervals
  • Mathematics
  • Numbers
  • Partial Differential Equations
  • Polynomials
  • Power Series
  • Rational Functions
  • Real Numbers
  • Scientific Research

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.