Abstract:
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.
Registro:
Documento: |
Conferencia
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Título: | Modelling light and velocity curves of exoplanet hosts |
Autor: | Díaz, R.F.; Santos N.C.; Monteiro M.J.; Campante T.L. |
Filiación: | Département d’Astronomie, Université de Genève, Versoix, Switzerland Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Buenos Aires, Argentina Instituto de Astronomía y Física del Espacio (IAFE), CONICET-Universidad de Buenos Aires, Buenos Aires, Argentina
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Palabras clave: | 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 |
Año: | 2018
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Volumen: | 49
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Página de inicio: | 199
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Página de fin: | 224
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DOI: |
http://dx.doi.org/10.1007/978-3-319-59315-9_11 |
Título revista: | 4th Azores International Advanced School on Asteroseismology and Exoplanets: Listening to the Stars and Searching for New Worlds, 2016
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Título revista abreviado: | Astrophysics Space Sci. Proc.
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ISSN: | 15706591
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15706591_v49_n_p199_Diaz |
Referencias:
- Agol, E., Steffen, J., Sari, R., Clarkson, W., (2005) Mon. Not. R. Astron. Soc, 359, p. 567
- Almenara, J.M., Díaz, R.F., Bonfils, X., Udry, S., (2016) Astron. Astrophys., 595, p. L5
- Almenara, J.M., Díaz, R.F., Mardling, R., (2015) Mon. Not. R. Astron. Soc., 453, p. 2644
- Ballard, S., Fabrycky, D., Fressin, F., (2011) Astrophys. J, 743, p. 200
- Barros, S.C.C., Díaz, R.F., Santerne, A., (2014) Astron. Astrophys, 561, p. L1
- Berger, J.O., Bernardo, J.M., Sun, D., (2009) Ann. Stat, 37, pp. 905-938
- Berger, J.O., Bernardo, J.M., Sun, D., (2015) Bayesian Anal, 10, p. 189
- Boisse, I., Bonfils, X., Santos, N.C., (2012) Astron. Astrophys., 545, p. A109
- Carter, J.A., Fabrycky, D.C., Ragozzine, D., (2011) Science, 331, p. 562
- Claret, A., (2000) Astron. Astrophys, 363, p. 1081
- Correia, A.C.M., Couetdic, J., Laskar, J., (2010) Astron. Astrophys, 511, p. A21
- Díaz, R.F., Almenara, J.M., Santerne, A., (2014) Mon. Not. R. Astron. Soc, 441, p. 983
- Doyle, L.R., Carter, J.A., Fabrycky, D.C., (2011) Science, 333, p. 1602
- Dumusque, X., Boisse, I., Santos, N.C., (2014) Astrophys. J, 796, p. 132
- Goldstein, H., (1980) Classical Mechanics, 2Nd Edn, , Addison-Wesley, Reading
- Goodman, J., Weare, J., (2010) Commun. Appl. Math. Comput. Sci, 5, p. 65
- Gregory, P.C., (2005) Bayesian Logical Data Analysis for the Physical Sciences: A Comparative Approach with ‘Mathematica’ Support, , Cambridge University Press, Cambridge
- Haario, H., Saksman, E., Tamminen, J., (2001) Bernoulli, 7, pp. 223-242
- Hastings, W., (1970) Biometrika, 57, p. 97
- Haywood, R.D., Collier Cameron, A., Queloz, D., (2014) Mon. Not. R. Astron. Soc, 443, p. 2517
- Holman, M.J., Murray, N.W., (2005) Science, 307, p. 1288
- Holman, M.J., Fabrycky, D.C., Ragozzine, D., (2010) Science, 330, p. 51
- Hut, P., (1981) Astron. Astrophys, 99, p. 126
- Jaynes, E.T., (1957) Phys. Rev., 106, p. 620
- Jaynes, E.T., (1968) IEEE Trans. Syst. Sci. Cybern., 4, p. 227
- Jaynes, E.T., (2003) Probability Theory: The Logic of Science, , Cambridge University Press, Cambridge
- Jeffreys, H., (1946) In: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 186, pp. 453-461. , The Royal Society
- Jeffreys, H., (1961) Theory of Probability, 3Rd Edn, , Clarendon Press, Oxford
- Jontof-Hutter, D., Rowe, J.F., Lissauer, J.J., Fabrycky, D.C., Ford, E.B., (2015) Nature, 522, p. 321
- Kipping, D.M., (2008) Mon. Not. R. Astron. Soc, 389, p. 1383
- Kipping, D.M., (2010) Mon. Not. R. Astron. Soc, 408, p. 1758
- Kipping, D.M., (2012) Mon. Not. R. Astron. Soc, 427, p. 2487
- Laplace, P., (1812) Theorie Analytique Des Probabilités, , Courcier, Paris
- Mandel, K., Agol, E., (2002) Astrophys. J., 580, p. L171
- Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E., (1953) J. Chem. Phys, 21, p. 1087
- Murray, C.D., Correia, A.C.M., (2010) Exoplanets, pp. 15-23. , Seager, S. (ed.), University of Arizona Press, Tucson
- Murray, C.D., Dermott, S.F., (2000) Solar System Dynamics, , Cambridge University Press, Cambridge
- Nesvorný, D., Kipping, D., Terrell, D., (2013) Astrophys. J, 777, p. 3
- Rajpaul, V., Aigrain, S., Osborne, M.A., Reece, S., Roberts, S., (2015) Mon. Not. R. Astron. Soc., 452, p. 2269
- Rasmussen, C.E., Williams, C.K.I., (2005) Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning, , The MIT Press, Cambridge
- Seager, S., Mallén-Ornelas, G., (2003) Astrophys. J, 585, p. 1038
- Tegmark, M., Strauss, M.A., Blanton, M.R., (2004) Phys. Rev. D, 69, p. 103501
- Trotta, R., (2017) Arxiv E-Prints
- Winn, J.N., (2010) Exoplanets, pp. 55-77. , Seager, S. (ed.), University of Arizona Press, Tucson
- Zahn, J.-P., (1977) Astron. Astrophys, 57, p. 383A4 -
Citas:
---------- APA ----------
Díaz, R.F., Santos N.C., Monteiro M.J. & Campante T.L.
(2018)
. Modelling light and velocity curves of exoplanet hosts. 4th Azores International Advanced School on Asteroseismology and Exoplanets: Listening to the Stars and Searching for New Worlds, 2016, 49, 199-224.
http://dx.doi.org/10.1007/978-3-319-59315-9_11---------- CHICAGO ----------
Díaz, R.F., Santos N.C., Monteiro M.J., Campante T.L.
"Modelling light and velocity curves of exoplanet hosts"
. 4th Azores International Advanced School on Asteroseismology and Exoplanets: Listening to the Stars and Searching for New Worlds, 2016 49
(2018) : 199-224.
http://dx.doi.org/10.1007/978-3-319-59315-9_11---------- MLA ----------
Díaz, R.F., Santos N.C., Monteiro M.J., Campante T.L.
"Modelling light and velocity curves of exoplanet hosts"
. 4th Azores International Advanced School on Asteroseismology and Exoplanets: Listening to the Stars and Searching for New Worlds, 2016, vol. 49, 2018, pp. 199-224.
http://dx.doi.org/10.1007/978-3-319-59315-9_11---------- VANCOUVER ----------
Díaz, R.F., Santos N.C., Monteiro M.J., Campante T.L. Modelling light and velocity curves of exoplanet hosts. Astrophysics Space Sci. Proc. 2018;49:199-224.
http://dx.doi.org/10.1007/978-3-319-59315-9_11