The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Improving the Efficiency of Markov Chain Monte Carlo for Analyzing the Orbits of Extrasolar Planets
Open accessAbstract
Precise radial velocity measurements have led to the discovery of ~170 extrasolar planetary systems. Understanding the uncertainties in the orbital solutions will become increasingly important as the discovery space for extrasolar planets shifts to planets with smaller masses and longer orbital periods. The method of Markov chain Monte Carlo (MCMC) provides a rigorous method for quantifying the uncertainties in orbital parameters in a Bayesian framework (Paper I). The main practical challenge for the general application of MCMC is the need to construct Markov chains that quickly converge. The rate of convergence is very sensitive to the choice of the candidate transition probability distribution function (CTPDF). Here we explain one simple method for generating alternative CTPDFs that can significantly speed convergence by 1-3 orders of magnitude. We have numerically tested dozens of CTPDFs with simulated radial velocity data sets to identify those that perform well for different types of orbits and suggest a set of CTPDFs for general application. In addition, we introduce other refinements to the MCMC algorithm for radial velocity planets, including an improved treatment of the uncertainties in the radial velocity observations, an algorithm for automatically choosing step sizes, an algorithm for automatically determining reasonable stopping times, and the use of importance sampling for including the dynamical evolution of multiple-planet systems. Together, these improvements make it practical to apply MCMC to multiple-planet systems. We demonstrate the improvements in efficiency by analyzing a variety of extrasolar planetary systems.
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Self-citationA Pair of Resonant Planets Orbiting GJ 876
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Self-citationUltra-High-Precision Velocity Measurements of Oscillations in Centauri A
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On the Eccentricity of HD 209458b
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Cited by
Cumming, A., Butler, R. P., Marcy, G. W., Vogt, S. S., Wright, J. T., & Fischer, D. A. (2008) · Publications of the Astronomical Society of the Pacific · doi:10.1086/588487 · Cited by 892
THE HAWAII INFRARED PARALLAX PROGRAM. I. ULTRACOOL BINARIES AND THE L/T TRANSITION ,
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KEPLER'S FIRST ROCKY PLANET: KEPLER-10b
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Self-citationRadVel: The Radial Velocity Modeling Toolkit
Fulton, B. J., Petigura, E. A., Blunt, S., & Sinukoff, E. (2018) · Publications of the Astronomical Society of the Pacific · doi:10.1088/1538-3873/aaaaa8 · Cited by 528
Collier Cameron, A., Wilson, D. M., West, R. G., Hebb, L., Wang, X.-B., Aigrain, S., Bouchy, F., Christian, D. J., Clarkson, W. I., Enoch, B., et al. (2007) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2007.12195.x · Cited by 356
Metadata
- Authors
- Ford, E. B.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2006-05
- Volume
- 642
- Issue
- 1
- Pages
- 505-522
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2027743223
- Cited by
- 498
- References
- 24
- FWCI
- 7.52
- Type
- journal article
- Language
- en
- Open access
- bronze
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