The Monotonicity of the Apsidal Angle Using the Theory of Potential Oscillators

• Rojas, D ^[1]
  1. [1] Universidad de Granada

     Universidad de Granada

     Granada, España

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 17, Nº 3, 2018, págs. 631-635
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In a central force system the angle between two successive passages of a body through pericenters is called the apsidal angle. In this paper we prove that for central forces of the form f(r)∼λr-(α+1) with α<2 the apsidal angle is a monotonous function of the energy, or equivalently of the orbital eccentricity.