Dimensions and equilibrium structures of the primary component of the nonsynchronous binary systems |
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| Institution: | 1. Department of Mathematics, Graphic Era Hill University, Dehradun, Uttarakhand, India 248002;2. Department of Mathematics, Graphic Era (deemed to be) University, Dehradun, Uttarakhand, India 248002;3. Indraprastha Institute of Management and Technology, Saharanpur, Uttar Pradesh, India 247551;4. Former Professor of Mathematics, Indian Institute of Technology, Roorkee, Uttarakhand, India 247671;5. Emeritus Professor of Mathematics, Ambala College of Engineering and Applied Research, Devasthali, Ambala Cantt, Haryana, India 133101 |
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| Abstract: | Rotating stars and stars in the synchronous binaries have been extensively studied in literature. However, there are only few studies that have investigated the problems of the nonsynchronous binaries. In the present paper, we have made an attempt to study the various dimensions and equilibrium structures of the primary component of the nonsynchronous binaries. We have used the first approximation theory of Limber (1963) along with the methodology as that proposed by Mohan and Saxena (1983) for the present study. The objective of this paper is to check the effect of nonsynchronism on the various dimensions and equilibrium structures of the primary components of the binary systems. The results of the present study shows that there is change in the dimensions and equilibrium structures of the primary component of the binary systems due to nonsynchronism, and this change is more appreciable when the difference between the angular velocities of rotation and revolution is large. |
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| Keywords: | Binaries – close Stars – rotation Methods – analytic Methods – numerical |
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