The eleventh motion constant of the two-body problem Conference Paper uri icon


  • The two-body problem is a twelfth-order time-invariant dynamic system, and therefore has eleven motion constants. Some of these motion constants are related to the ten algebraic integrals of the n-body problem, while some are particular to the two-body problem. The problem can be decomposed into mass-center and relative-motion subsystems, each being sixth order and each having five motion constants. This paper presents solutions for the eleventh motion constant, which relates the behavior of the two subsystems.

published proceedings

  • Advances in the Astronautical Sciences

author list (cited authors)

  • Sinclair, A. J., & Hurtado, J. E.

complete list of authors

  • Sinclair, AJ||Hurtado, JE

publication date

  • December 2010