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Previous issue date: 2016-07-18 / Conselho Nacional de Desenvolvimento Cient?fico e Tecnol?gico (CNPq) / O m?todo da velocidade radial estelar ? usada desde as descobertas dos primeiros exoplanetas.Esse m?todo tem se mostrado bem sucedido na obten??o dos par?metros orbitais dosexoplanetas, como, por exemplo, a excentricidade da ?rbita, o per?odo de transla??o, a rela??o demassa do planeta, a dist?ncia do periastro, entre outros. A an?lise dos dados de velocidade radialcont?m v?rios problemas, devido a sua fun??o matem?tica ser altamente n?o-linear e multimodal.Para a infer?ncia desses par?metros, m?todos estat?sticos adequados s?o necess?rios na an?lise dosdados.Nesse trabalho, desenvolvemos algoritmos que nos permite realizar infer?ncias estat?sticas.Os m?todos de infer?ncia utilizados s?o o m?todo do 2 m?nimo, o m?todo de Monte Carlovia cadeia de Markov e o Nested Sampling. Estudamos cada um dos m?todos, simulando dados,com adi??o de ru?do, e aplicando-os em dois casos: na equa??o linear e para fun??es senoidais. Por?ltimo, aplicamos os m?todos estat?sticos para o caso da velocidade radial estelar, fazendo uso dedados da estrela HD 187085, com o objetivo de determinar a efic?cia de tais m?todos, comparandoos resultados com os obtidos na literatura. / Stellar radial velocity method has been used since the descovery of the earliest exoplanets.
This method has been very successful in the obtention of exoplanets? orbital parameters, such
as, for exemple, the orbital eccentricity, the translational period, the planet?s mass relation, the
periastron distance, among others. The analysis of radial velocity data has various problems due
to its mathematical function, that is highly non-linear and multimodal. For parameter inference,
adequated statistical methods are required, in the analysis of these datas. In this work, the development of algorithms allows the performance of statistical inference.
The inference methods used are the minimum 2 method, Markov Chain Monte Carlo
method and the Nested Sampling. Each method is studied by simulating data, with noise addition,
and applying these methods to two cases: a linear equation and sinusoidal functions. Finally, the
statistical methods are applied in the case of the stellar radial velocity, by using the HD 187085
star?s data, aiming to determine the efficiency of such methods, by comparing the results with
previously obtained results in literature.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/21587 |
| Date | 18 July 2016 |
| Creators | Teixeira, M?rcio Assun??o |
| Contributors | 57947139334, http://lattes.cnpq.br/2709876077692695, Martins, Bruno Leonardo Canto, 96670193491, http://lattes.cnpq.br/2673267660389058, Silva, Jos? Ronaldo Pereira da, 80730752453, http://lattes.cnpq.br/3714905065293466, Freitas, Daniel Brito de |
| Publisher | PROGRAMA DE P?S-GRADUA??O EM F?SICA, UFRN, Brasil |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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