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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Guardado en:
Detalles Bibliográficos
Publicado: 2014
Materias:
Celestial mechanics
Planet-star interactions
Planets and satellites: dynamical evolution and stability
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14052059_v43_n_p68_Carpintero
http://hdl.handle.net/20.500.12110/paper_14052059_v43_n_p68_Carpintero
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_14052059_v43_n_p68_Carpintero
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spelling paper:paper_14052059_v43_n_p68_Carpintero2023-06-08T16:13:24Z Distra: A code to find invisible exoplanets Celestial mechanics Planet-star interactions Planets and satellites: dynamical evolution and stability 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. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14052059_v43_n_p68_Carpintero http://hdl.handle.net/20.500.12110/paper_14052059_v43_n_p68_Carpintero
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Celestial mechanics
Planet-star interactions
Planets and satellites: dynamical evolution and stability
spellingShingle Celestial mechanics
Planet-star interactions
Planets and satellites: dynamical evolution and stability
Distra: A code to find invisible exoplanets
topic_facet Celestial mechanics
Planet-star interactions
Planets and satellites: dynamical evolution and stability
description 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.
title Distra: A code to find invisible exoplanets
title_short Distra: A code to find invisible exoplanets
title_full Distra: A code to find invisible exoplanets
title_fullStr Distra: A code to find invisible exoplanets
title_full_unstemmed Distra: A code to find invisible exoplanets
title_sort distra: a code to find invisible exoplanets
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14052059_v43_n_p68_Carpintero
http://hdl.handle.net/20.500.12110/paper_14052059_v43_n_p68_Carpintero
_version_ 1768541812185628672

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