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Three Body Problem in Perspective

  • Mauri Valtonen
  • Joanna Anosova
  • Konstantin Kholshevnikov
  • Aleksandr Mylläri
  • Victor Orlov
  • Kiyotaka Tanikawa
Chapter
  • 975 Downloads

Abstract

The three-body problem is one of the simplest puzzles in nature. It may be stated very simply but the solution can be extremely hard. The formulation of the problem is as follows: Let us introduce three point-like bodies with given mass values, and say that they attract each other by the universal law of gravitation. We assume that the initial positions and velocities are known. Our task is to predict their coordinates and velocities in an arbitrary time in the future or in the past. The problem is simple, but as we have seen in previous chapters, the solution is not. Many famous scientists beginning from Isaac Newton tried to solve this puzzle. For a long time, all attempts failed except in special cases.

Keywords

Black Hole Triple System Triple Collision Binary Black Hole Sitnikov Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Mauri Valtonen
    • 1
  • Joanna Anosova
    • 2
  • Konstantin Kholshevnikov
    • 3
  • Aleksandr Mylläri
    • 4
  • Victor Orlov
    • 3
  • Kiyotaka Tanikawa
    • 5
  1. 1.University of TurkuTurkuFinland
  2. 2.University of TexasAustinUSA
  3. 3.St.Petersburg State UniversitySt.PetersburgRussia
  4. 4.St.George’s UniversitySt.George’sGrenada, West Indies
  5. 5.National Astronomical ObservatoryTokyoJapan

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