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The stellar surface rotation is the indicator of internal dynamo
process. The dynamo generates many active phenomena like stellar spots
and also affect stellar evolution. In this study we have analyzed the surface rotation and evolutionary parameters such as mass, density, radius,
effective temperature, surface gravity and metallicity of stars all together.
Surface rotation is used in different forms such as rotational shear, relative
differential rotation and average surface rotation. Approximately 12000
Keplers star data of rotation and above mentioned evolutionary parameters were used. Fractal dimension and the Hurst exponent technique is
used to analyze the persistency and persistency correlation of data in different spectral classes. Strong persistency correlation is found between
data of rotational shear vs effective temperature (0.992), rotational shear
vs radius (-0.82) and average differential rotation vs metallicity (0.995).
Additionally, correlation between other evolutionary parameters and rotational parameters are also found. On the basis of these correlations and
physical relationship the nonlinear models between luminosity, radius and
rotation (relative differential rotation and rotational shear) are established
for main sequence.
Ingila Rahim, M. Rashid Kamal Ansari. (2019) Fractal Analysis and Non-linear Multivariate Model of Keplers stars, Punjab University Journal of Mathematics, Volume 51, Issue 12.
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