In celestial mechanics, Jacobi's integral (also known as the Jacobi integral or Jacobi constant) is the only known conserved quantity for the circular restricted three-body problem. Unlike in the two-body problem, the energy and momentum of each of the bodies comprising the system are not conserved separately, and a general analytical solution is not possible.
In celestial mechanics, Jacobi's integral (also known as the Jacobi integral or Jacobi constant) is the only known conserved quantity for the circular restricted three-body problem. Unlike in the two-body problem, the energy and momentum of each of the bodies comprising the system are not conserved separately, and a general analytical solution is not possible.
Source: Wikipedia "Jacobi integral" · CC BY-SA 4.0
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