Abstract
We analyzed the host stars of the present sample of confirmed planets
detected by Kepler and Kepler Objects of Interest to compute new
photometric rotation periods and to study the behavior of their angular
momentum. Lomb-Scargle periodograms and wavelet maps were computed for
3807 stars. For 540 of these stars, we were able to detect rotational
modulation of the light curves at a significance level of greater than
99%. For 63 of these 540 stars, no rotation measurements were
previously available in the literature. According to the published
masses and evolutionary tracks of the stars in this sample, the sample
is composed of M- to F-type stars (with masses of 0.48-1.53M(circle
dot)) with rotation periods that span a range of 2-89 days. These
periods exhibit an excellent agreement with those previously reported
(for the stars for which such values are available), and the observed
rotational period distribution strongly agrees with theoretical
predictions. Furthermore, for the 540 sources considered here, the
stellar angular momentum provides an important test of Kraft's relation
based on the photometric rotation periods. Finally, this study directly
contributes in a direct approach to our understanding of how angular
momentum is distributed between the host star and its (detected)
planetary system; the role of angular momentum exchange in such systems
is an unavoidable piece of the stellar rotation puzzle.
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