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For instance, a physical problem with spherical symmetry defined in R3 (for example, motion of particles under the influence of central forces) is usually easier to solve in spherical polar coordinates than in Cartesian coordinates.
Euler's problem also covers the case when the particle is acted upon by other inverse-square central forces, such as the electrostatic interaction described by Coulomb's law.
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Euler's three-body problem is to describe the motion of a particle under the influence of two centers that attract the particle with central forces that decrease with distance as an inverse-square law, such as Newtonian gravity or Coulomb's law.
The hydrogen atom is a Kepler problem, since it comprises two charged particles interacting by Coulomb's law of electrostatics, another inverse square central force.
Sir George Herbert Farrar, 1st Baronet, DSO (17 June 1859 Chatteris, Cambridgeshire – 20 May 1915 Kuibis, South West Africa, was a South African mining magnate, politician and soldier - Colonel and assistant Quartermaster General - Central Force, Union Defence Forces, Hon.