TTVFast: AN EFFICIENT AND ACCURATE CODE FOR TRANSIT TIMING INVERSION PROBLEMS
Transit timing variations (TTVs) have proven to be a powerful technique for confirming Kepler planet candidates, for detecting non-transiting planets, and for constraining the masses and orbital elements of multi-planet systems. These TTV applications often require the numerical integration of orbit...
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| Format: | Article |
| Language: | en_US |
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Institute of Physics/American Astronomical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/94638 |
| _version_ | 1811077875867058176 |
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| author | Deck, Katherine M. Agol, Eric Holman, Matthew J. Nesvorný, David |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Deck, Katherine M. Agol, Eric Holman, Matthew J. Nesvorný, David |
| author_sort | Deck, Katherine M. |
| collection | MIT |
| description | Transit timing variations (TTVs) have proven to be a powerful technique for confirming Kepler planet candidates, for detecting non-transiting planets, and for constraining the masses and orbital elements of multi-planet systems. These TTV applications often require the numerical integration of orbits for computation of transit times (as well as impact parameters and durations); frequently tens of millions to billions of simulations are required when running statistical analyses of the planetary system properties. We have created a fast code for transit timing computation, TTVFast, which uses a symplectic integrator with a Keplerian interpolator for the calculation of transit times. The speed comes at the expense of accuracy in the calculated times, but the accuracy lost is largely unnecessary, as transit times do not need to be calculated to accuracies significantly smaller than the measurement uncertainties on the times. The time step can be tuned to give sufficient precision for any particular system. We find a speed-up of at least an order of magnitude relative to dynamical integrations with high precision using a Bulirsch-Stoer integrator. |
| first_indexed | 2024-09-23T10:49:40Z |
| format | Article |
| id | mit-1721.1/94638 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:49:40Z |
| publishDate | 2015 |
| publisher | Institute of Physics/American Astronomical Society |
| record_format | dspace |
| spelling | mit-1721.1/946382022-09-27T15:15:36Z TTVFast: AN EFFICIENT AND ACCURATE CODE FOR TRANSIT TIMING INVERSION PROBLEMS Deck, Katherine M. Agol, Eric Holman, Matthew J. Nesvorný, David Massachusetts Institute of Technology. Department of Physics MIT Kavli Institute for Astrophysics and Space Research Deck, Katherine M. Transit timing variations (TTVs) have proven to be a powerful technique for confirming Kepler planet candidates, for detecting non-transiting planets, and for constraining the masses and orbital elements of multi-planet systems. These TTV applications often require the numerical integration of orbits for computation of transit times (as well as impact parameters and durations); frequently tens of millions to billions of simulations are required when running statistical analyses of the planetary system properties. We have created a fast code for transit timing computation, TTVFast, which uses a symplectic integrator with a Keplerian interpolator for the calculation of transit times. The speed comes at the expense of accuracy in the calculated times, but the accuracy lost is largely unnecessary, as transit times do not need to be calculated to accuracies significantly smaller than the measurement uncertainties on the times. The time step can be tuned to give sufficient precision for any particular system. We find a speed-up of at least an order of magnitude relative to dynamical integrations with high precision using a Bulirsch-Stoer integrator. National Science Foundation (U.S.) (NSF Graduate Research Fellowship) National Science Foundation (U.S.) (NSF Career grant AST-0645416) United States. National Aeronautics and Space Administration (NASA Origins of Solar Systems Grant 12-OSS12-0011) United States. National Aeronautics and Space Administration (NASA Astrobiology Institute’s Virtual Planetary Laboratory, cooperative agreement NNH05ZDA001C) United States. National Aeronautics and Space Administration (Kepler Participating Scientist Program, grant NNX09AB28G)) United States. National Aeronautics and Space Administration (NASA Origins Program, grant NNX09AB33G) United States. National Aeronautics and Space Administration (NASA Origins Program, grant NNX13A124G) National Science Foundation (U.S.) (NSF AST-1008890) 2015-02-19T17:13:17Z 2015-02-19T17:13:17Z 2014-06 2014-03 Article http://purl.org/eprint/type/JournalArticle 0004-637X 1538-4357 http://hdl.handle.net/1721.1/94638 Deck, Katherine M., Eric Agol, Matthew J. Holman, and David Nesvorný. “TTVFast: AN EFFICIENT AND ACCURATE CODE FOR TRANSIT TIMING INVERSION PROBLEMS.” The Astrophysical Journal 787, no. 2 (May 12, 2014): 132. © 2014 American Astronomical Society. en_US http://dx.doi.org/10.1088/0004-637X/787/2/132 Astrophysical Journal Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Physics/American Astronomical Society American Astronomical Society |
| spellingShingle | Deck, Katherine M. Agol, Eric Holman, Matthew J. Nesvorný, David TTVFast: AN EFFICIENT AND ACCURATE CODE FOR TRANSIT TIMING INVERSION PROBLEMS |
| title | TTVFast: AN EFFICIENT AND ACCURATE CODE FOR TRANSIT TIMING INVERSION PROBLEMS |
| title_full | TTVFast: AN EFFICIENT AND ACCURATE CODE FOR TRANSIT TIMING INVERSION PROBLEMS |
| title_fullStr | TTVFast: AN EFFICIENT AND ACCURATE CODE FOR TRANSIT TIMING INVERSION PROBLEMS |
| title_full_unstemmed | TTVFast: AN EFFICIENT AND ACCURATE CODE FOR TRANSIT TIMING INVERSION PROBLEMS |
| title_short | TTVFast: AN EFFICIENT AND ACCURATE CODE FOR TRANSIT TIMING INVERSION PROBLEMS |
| title_sort | ttvfast an efficient and accurate code for transit timing inversion problems |
| url | http://hdl.handle.net/1721.1/94638 |
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