Distra: A code to find invisible exoplanets
Given the transit times of an exoplanet, which will differ from a Keplerian two-body series of transits if a second, non-transiting exoplanet is perturbing it, we solve the inverse problem of finding the six orbital elements and the mass of that second planet. This is equivalent to an optimization p...
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| Autores principales: | , , , , , |
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| Formato: | CONF |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_14052059_v43_n_p68_Carpintero |
| Aporte de: |
| Sumario: | Given the transit times of an exoplanet, which will differ from a Keplerian two-body series of transits if a second, non-transiting exoplanet is perturbing it, we solve the inverse problem of finding the six orbital elements and the mass of that second planet. This is equivalent to an optimization problem in seven dimensions, in which the function to minimize is some measure of the differences between the observed transits and the transits obtained with a three-body integration of the transiting planet and the invisible one; the seven dependent variables are the elements and the mass of the latter. We solve this formidable numerical problem in two stages, applying a genetic algorithm as a first step, and then polishing this result with a 7D simplex algorithm. We applied the algorithm to the Kepler-9 system, in which two planets transit and therefore the second planet has known orbital elements and mass. |
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