Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries

Details Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries

2008-04-01

arxiv.org/abs/0804.0260v4

Phys.Rev.D78:044013,2008; Erratum-ibid.D81:029905,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages. 5 figures. v4: Paper updated to account for an error found in the Feynman rule for one diagram (3c) in our computati

Scientific paper

10.1103/PhysRevD.78.044013

Using effective field theory techniques we compute the next to leading order Spin(1)Spin(1) terms in the potential of spinning compact objects at third Post-Newtonian order, including sub-leading self-induced finite size effects. This result represents the last ingredient to complete the relevant spin potentials to 3PN order from which the equations of motion follow via a canonical formalism. As an example we include the precession equation.

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