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Self interaction of spins in binary systems

This study investigates the radiative evolution of compact binaries in circular orbits, focusing on the interaction of spins in the system. It explores the changes in orbital angular frequency and the accumulated number of GW cycles, including spin parameters and numerical examples.

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Self interaction of spins in binary systems

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  1. Self interaction of spins in binary systems Mátyás Vasúth HAS KFKI Research Institute for Particle and Nuclear Physics Budapest, Hungary Albert Einstein Century Conference 18 – 22 July, 2005 Paris, France

  2. Introduction • Radiative evolution of compact binaries- circular orbits - secular losses • Change of the orbital angular frequency- PN, SO, SS, QM, DD, 2PN, SS-self and tail contributions • Accumulated number of GW cycles

  3. Frequency evolution • Circular orbits • Change of the orbital frequency

  4. Frequency evolution

  5. Frequency evolution • Spin parameters

  6. Accumulated number of GW cycles • Dimensionless time variable

  7. Numerical examples • Number of accumulated GW cycles • Spin parameters for J0737-3039

  8. Summary • various contributions add to the rate of increase of the GW frequency and the accumulated number of GW cycles • contributions from the self interaction of the individual spins are commensurable with the proper spin-spin contributions and represent the first corrections to the radiation reaction in the Lense-Thirring picture

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