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Intensity of gravitational wave emitted by an oscillating Keplerian binary
Institution:1. Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh;2. Department of Physics, Pabna University of Science and Technology, Pabna, Bangladesh;3. Department of Physics, Mawlana Bhashani Science and Technology University, Santosh, Tangail-1902, Bangladesh;4. Department of Physics, Shahjalal University of Science and Technology, Sylhet-3114, Bangladesh;1. Yunnan Observatories, Chinese Academy of Sciences (CAS), P.O. Box 110, 650216 Kunming, P.R. China;2. Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, 650216 Kunming, P.R. China;3. University of the Chinese Academy of Sciences, Yuquan Road 19#, Sijingshang Block, 100049 Beijing, P.R. China;1. Key Laboratory of Optical Astronomy, National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China;2. School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China;3. School of Computer Science and Technology, Taiyuan University of Science and Technology, Taiyuan 030024, China;1. Universidade Federal de Itajubá, Instituto de Física e Química, Itajubá-MG, Brazil;2. Universidade de São Paulo, Instituto de Astronomia, Geofísica e Ciências Atmosféricas, São Paulo - SP, Brazil;1. Harish-Chandra research Institute, Chhatnag Road, Jhunsi, Allahabad-211019, India;2. Current affiliation: Nicolaus Copernicus Astronomical Centre, Bartycka 18, 00-716, Warsaw, Poland;3. Institute of Theoretical and Computational Physics, Department of Physics, University of Crete, 700 13 Heraklion, Greece;4. Current affiliation : Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune University Campus, Pune - 411 007, India
Abstract:This paper attempts to formulate a way for calculating the intensity of gravitational wave from two point masses in Keplerian circular and elliptic orbits. The intensity is calculated with the assumption that the orbital plane of the binary undergoes small oscillation about the equilibrium x-y plane. This problem is simplification of a physically possible orbit where one of the point masses is spinning whereby the spin-orbit force drives the orbital plane to wobble in a complicated manner. It is shown that the total energy of gravitational wave emitted by the binary in this case is dominated by the parameters which take into account the oscillation of the plane. The results presented are in fact a generalization of the classic results of Landau and Lifshitz.
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