Spin-spin coupling force
It is straightforward to derive the spin-spin coupling force. The definition of the center of mass does not change the form of the spin-spin coupling force as expected.
We evaluate the following surface integral,
. The result is
which perfectly agrees with the previous result (see e.g.
"The Post-Newtonian Approximation for Relativistic Compact Binaries"
Toshifumi Futamase and Yousuke Itoh
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