Central Forces and Kepler’s Laws

  • Ilya L. Shapiro
  • Guilherme de Berredo-Peixoto
Part of the Undergraduate Lecture Notes in Physics book series (ULNP)


From the historical perspective, the derivation of three Kepler’s laws in Classical Mechanics is one of the most relevant calculations which were ever done. We shall present this calculation in details and also give a simple treatment of the effect of Precession of Perihelion for a nearly circular orbit for a weakly non-Newtonian gravitational force. This problem has very special importance in General Relativity due to the Precession of Perihelion for the Mercury and some other relativistic tests.


Angular Momentum Solar System Gravitational Field Circular Orbit Central Field 
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Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  • Ilya L. Shapiro
    • 1
    • 2
  • Guilherme de Berredo-Peixoto
    • 1
  1. 1.Departamento de Fisica – ICEUniversidade Federal de Juiz de ForaJuiz de ForaBrazil
  2. 2.Tomsk State Pedagogical UniversityTomskRussia

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