# Two-Body Orbit Expansion Due to Time-Dependent Relative Acceleration Rate of the Cosmological Scale Factor

@article{Iorio2013TwoBodyOE, title={Two-Body Orbit Expansion Due to Time-Dependent Relative Acceleration Rate of the Cosmological Scale Factor}, author={Lorenzo Iorio}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2013}, volume={2}, pages={13-21} }

By phenomenologically assuming a slow temporal variation of the percent acceleration rate SS -1 of the cosmic scale factor S(t), it is shown that the orbit of a local binary undergoes a secular expansion. To first order in the power expansion of SS -1 around the present epoch t0, a non-vanishing shift per orbit (Δr) of the two-body relative distance r occurs for eccentric trajectories. A general relativistic expression, which turns out to be cubic in the Hubble parameter H0 at the present epoch…

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