perturbation

Celestial Mechanics

  • Vol II Part 1 – Perturbation Theory
    • Disturbing Function
      • LAPLACE COEFFICIENTS
      • INCLINED CIRCULAR ORBITS
        • JACOBI’S EXPANSION
    • Delaunay’s Theory
      • Delaunay’s Method
        • Delaunay’s Operations
        • Delaunay’s Lunar Theory
  • Vol II Part 2
    • Absolute Perturbation
      • Perturbation in Rectangular Coordinates
      • Hill’s Method
    • HANSEN’S THEORY
      • Ideal Coordinates
      • Hansen’s Method of Integration
      • Motion of the Orbital Plane
    • NEWCOMB’S THEORY
      • Laplace’s Theory
      • Newcomb’s Equations of Motion
    • GYLDEN’S THEORY
      • Gylden’s Intermediary Orbit
      • Heuristic Method
    • BROWN’S THEORY
      • Equations of Motion for a Trojan Asteroid
      • Brown’s Intermediary Orbit
      • Equation for Variation
    • ANDOYER’S THEORY
      • Andoyer’s Lunar Theory
      • Paloque’s Theory of a Trojan Asteroid
    • COMETARY PERTURBATION
      • Sphere of Activity
      • Capture of a Comet by Jupiter
    • BOHLIN’S THEORY
      • Bohlin’s Quintic Equation
    • SOLUTION BY LAMBERT’S SERIES
      • Charlier’s Theory
  • Hill’s Lunar Theory
    • HILL’S INTERMEDIARY ORBIT
      • Hill’s Equations of Motion
    • THE MOTION OF PERIGEE AND NODE
      • Equations for Variations
      • Terms Depending on m and e
      • Other Inequalities
    • THE PLANETARY ACTIONS
      • Action due to Planets
      • Inequality due to the Earth’s Figure