An integrated analysis of radial velocities in planet searches

@article{Cumming2010AnIA,
  title={An integrated analysis of radial velocities in planet searches},
  author={Andrew Cumming and Diana Dragomir},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2010},
  volume={401},
  pages={1029-1042}
}
  • A. Cumming, D. Dragomir
  • Published 25 September 2009
  • Physics
  • Monthly Notices of the Royal Astronomical Society
We discuss a Bayesian approach to the analysis of radial velocities in planet searches. We use a combination of exact and approximate analytic and numerical techniques to efficiently evaluate χ 2 for multiple values of orbital parameters, and to carry out the marginalization integrals for a single planet including the possibility of a long-term trend. The result is a robust algorithm that is rapid enough for use in real-time analysis that outputs constraints on orbital parameters and false… 

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