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Title: Chandrasekhar's relation and stellar rotation in the Kepler field

According to the statistical law of large numbers, the expected mean of identically distributed random variables of a sample tends toward the actual mean as the sample increases. Under this law, it is possible to test the Chandrasekhar's relation (CR), (V) = (π/4){sup –1}(Vsin i), using a large amount of Vsin i and V data from different samples of similar stars. In this context, we conducted a statistical test to check the consistency of the CR in the Kepler field. In order to achieve this, we use three large samples of V obtained from Kepler rotation periods and a homogeneous control sample of Vsin i to overcome the scarcity of Vsin i data for stars in the Kepler field. We used the bootstrap-resampling method to estimate the mean rotations ((V) and (Vsin i)) and their corresponding confidence intervals for the stars segregated by effective temperature. Then, we compared the estimated means to check the consistency of CR, and analyzed the influence of the uncertainties in radii measurements, and possible selection effects. We found that the CR with (sin i) = π/4 is consistent with the behavior of the (V) as a function of (Vsin i) for stars from the Keplermore » field as there is a very good agreement between such a relation and the data.« less
Authors:
;  [1] ;  [2]
  1. Grupo de Astroestatística, Departamento de Física, Universidade do Estado do Rio Grande do Norte, Mossoró-RN (Brazil)
  2. Departamento de Física, Universidade Federal do Rio Grande do Norte, Natal-RN (Brazil)
Publication Date:
OSTI Identifier:
22369989
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 796; Journal Issue: 1; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; RANDOMNESS; ROTATION; STARS; STATISTICAL MODELS; STATISTICS