Constraints on the location of a putative distant massive body in the Solar System from recent planetary data

  title={Constraints on the location of a putative distant massive body in the Solar System from recent planetary data},
  author={Lorenzo Iorio},
  journal={Celestial Mechanics and Dynamical Astronomy},
  • L. Iorio
  • Published 13 January 2011
  • Physics, Geology
  • Celestial Mechanics and Dynamical Astronomy
We analytically work out the long-term variations caused on the motion of a planet orbiting a star by a very distant, pointlike massive object X. Apart from the semi-major axis a, all the other Keplerian osculating orbital elements experience long-term variations which are complicated functions of the orbital configurations of both the planet itself and of X. We infer constraints on the minimum distance dX at which X may exist by comparing our prediction of the long-term variation of the… 

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