Two-Body Problem with Dark Energy

  • Alexander SilbergleitEmail author
  • Arthur Chernin
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)


We formulate the problem of particle motion in the central field of a point mass and the uniform dark energy (DE) background. We introduce potential energy and describe the equilibrium (no-gravity) sphere. Equations of energy and angular momentum conservation are given showing two classes of motion, radial ones, with the zero angular momentum, and planar motions occurring when the angular momentum is non-zero. The classical Hubble law for all infinite motions holds due to DE presence.

Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.W.W. Hansen Experimental Physics LaboratoryStanford UniversityStanfordUSA
  2. 2.Sternberg Astronomical InstituteMoscow UniversityMoscowRussia

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