Modelling light and velocity curves of exoplanet hosts

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Research in extrasolar-planet science is data-driven. With the advent of radial-velocity instruments like HARPS and HARPS-N, and transit space missions like Kepler, our ability to discover and characterise extrasolar planets is no longer limited by instrumental precision but by our ability to model...

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Autores principales: Díaz, R.F., Santos N.C., Monteiro M.J., Campante T.L.
Formato: CONF
Materias:
Bayesian networks
Inference engines
Probability distributions
Stars
Stochastic models
Stochastic systems
Velocity
Bayesian inference
Likelihood functions
Model complexes
Physical phenomena
Radial velocity
Radial velocity instruments
Radial velocity measurements
Two-body problem
Extrasolar planets
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15706591_v49_n_p199_Diaz
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15706591_v49_n_p199_Diaz
record_format dspace
spelling todo:paper_15706591_v49_n_p199_Diaz2023-10-03T16:26:49Z Modelling light and velocity curves of exoplanet hosts Díaz, R.F. Santos N.C. Monteiro M.J. Campante T.L. Bayesian networks Inference engines Probability distributions Stars Stochastic models Stochastic systems Velocity Bayesian inference Likelihood functions Model complexes Physical phenomena Radial velocity Radial velocity instruments Radial velocity measurements Two-body problem Extrasolar planets Research in extrasolar-planet science is data-driven. With the advent of radial-velocity instruments like HARPS and HARPS-N, and transit space missions like Kepler, our ability to discover and characterise extrasolar planets is no longer limited by instrumental precision but by our ability to model the data accurately. This chapter presents the models that describe radial-velocity measurements and transit light curves. I begin by deriving the solution of the two-body problem and from there, the equations describing the radial velocity of a planet-host star and the distance between star and planet centres, necessary to model transit light curves. Stochastic models are then presented and I delineate how they are used to model complex physical phenomena affecting the exoplanet data sets, such as stellar activity. Finally, I give a brief overview of the processes of Bayesian inference, focussing on the construction of likelihood functions and prior probability distributions. In particular, I describe different methods to specify ignorance priors. © 2018, Springer International Publishing AG. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15706591_v49_n_p199_Diaz
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Bayesian networks
Inference engines
Probability distributions
Stars
Stochastic models
Stochastic systems
Velocity
Bayesian inference
Likelihood functions
Model complexes
Physical phenomena
Radial velocity
Radial velocity instruments
Radial velocity measurements
Two-body problem
Extrasolar planets
spellingShingle Bayesian networks
Inference engines
Probability distributions
Stars
Stochastic models
Stochastic systems
Velocity
Bayesian inference
Likelihood functions
Model complexes
Physical phenomena
Radial velocity
Radial velocity instruments
Radial velocity measurements
Two-body problem
Extrasolar planets
Díaz, R.F.
Santos N.C.
Monteiro M.J.
Campante T.L.
Modelling light and velocity curves of exoplanet hosts
topic_facet Bayesian networks
Inference engines
Probability distributions
Stars
Stochastic models
Stochastic systems
Velocity
Bayesian inference
Likelihood functions
Model complexes
Physical phenomena
Radial velocity
Radial velocity instruments
Radial velocity measurements
Two-body problem
Extrasolar planets
description Research in extrasolar-planet science is data-driven. With the advent of radial-velocity instruments like HARPS and HARPS-N, and transit space missions like Kepler, our ability to discover and characterise extrasolar planets is no longer limited by instrumental precision but by our ability to model the data accurately. This chapter presents the models that describe radial-velocity measurements and transit light curves. I begin by deriving the solution of the two-body problem and from there, the equations describing the radial velocity of a planet-host star and the distance between star and planet centres, necessary to model transit light curves. Stochastic models are then presented and I delineate how they are used to model complex physical phenomena affecting the exoplanet data sets, such as stellar activity. Finally, I give a brief overview of the processes of Bayesian inference, focussing on the construction of likelihood functions and prior probability distributions. In particular, I describe different methods to specify ignorance priors. © 2018, Springer International Publishing AG.
format CONF
author Díaz, R.F.
Santos N.C.
Monteiro M.J.
Campante T.L.
author_facet Díaz, R.F.
Santos N.C.
Monteiro M.J.
Campante T.L.
author_sort Díaz, R.F.
title Modelling light and velocity curves of exoplanet hosts
title_short Modelling light and velocity curves of exoplanet hosts
title_full Modelling light and velocity curves of exoplanet hosts
title_fullStr Modelling light and velocity curves of exoplanet hosts
title_full_unstemmed Modelling light and velocity curves of exoplanet hosts
title_sort modelling light and velocity curves of exoplanet hosts
url http://hdl.handle.net/20.500.12110/paper_15706591_v49_n_p199_Diaz
work_keys_str_mv AT diazrf modellinglightandvelocitycurvesofexoplanethosts
AT santosnc modellinglightandvelocitycurvesofexoplanethosts
AT monteiromj modellinglightandvelocitycurvesofexoplanethosts
AT campantetl modellinglightandvelocitycurvesofexoplanethosts
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