Abstract
In this paper we present a method for computing the equilibrium structures and various physical parameters of a primary component of the binary system assuming that the primary is more massive than the secondary and is rotating differentially according to the law of the w2 = b0 + b1 × s2 + b2 × s4, w being the angular velocity of rotation of a fluid element distant s from the axis of rotation and b0, b1, b2 suitably chosen numerical constants. This method utilizes the averaging approach of Kippenhahn and Thomas (1997) and the concept of Roche equipotentials in a manner earlier used by Mohan et al. (1997) to incorporate the effects of rotation and tidal distortions on the equilibrium structures of certain rotationally and tidally distorted stellar models. The use of the method has been illustrated by applying it to obtain the structures and some observable parameters of certain differentially rotating and tidally distorted binary systems whose primary component is assumed to be a white dwarf star.
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Anand, S.P.S., Dubas, V.: Ap. Sp. Sci. 2, 250 (1968)
Bolin Vitense, E., Carpenter, K., Robinson, R., Ake, T., Brown, J.: Ap. J. 553, 969 (2000)
Chandrasekhar, S.: Stellar Structure, Dover Publication (1939)
Geroyannis, V.S., Hadjopoulos, A.A.: Ap. J. 70, 661 (1989)
Hoyle, F.: M.N.R.A.S. 107, 231 (1947)
Hachisu, I., Eriguchi, Y., Nomoto, K.: Ap. J. 311, 214 (1986)
Icko Iben, Jr., Tutukov, A.V.: Ap. J. 8, 753 (1986)
James, R.A.: Ap. J. 140, 552 (1964)
Kippenhahn, R., Thomas, H.C.: in Stellbak, A. (ed.), Stellar Rotation, D. Reidel Publ. Co., Dordrecht, Holland, p. 20 (1970)
Kopal, Z.: Adv. in Astr. & Ap. 9, 1 (1972)
Mohan, C., Lal, A.K., Singh, V.P.: Bull. Astr. Soc. India 22, 439 (1994)
Mohan, C., Lal, A.K., Singh, V.P.: Ap. Sp. Sci. 254, 97 (1997)
Ostriker, J.P., Bodenheimer, P., Lyden, B.D.: Phy. Rev. Letters 17, 816 (1966)
Ostriker, J.P., Hastwick, F.D.A.: Ap J. 153, 797 (1968)
Roxburgh, I.W.: Z. Ap. 62, 134 (1965)
Stoekly, R.: Ap. J. 142, 208 (1965)
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Lal, A.K., Mohan, C. & Singh, V.P. Equilibrium Structures of Differentially Rotating and Tidally Distorted White Dwarf Models of Stars. Astrophys Space Sci 301, 51–60 (2006). https://doi.org/10.1007/s10509-006-6305-6
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DOI: https://doi.org/10.1007/s10509-006-6305-6