# On the two-body problem in general relativity

@article{Blanchet2001OnTT, title={On the two-body problem in general relativity}, author={L. Blanchet}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2001}, volume={2}, pages={1343-1352} }

We consider the two-body problem in post-Newtonian approximations of general relativity. We report the recent results concerning the equations of motion, and the associated Lagrangian formulation, of compact binary systems, at the third post-Newtonian order (∼1/c6 beyond the Newtonian acceleration). These equations are necessary when constructing the theoretical templates for searching and analyzing the gravitational-wave signals from inspiralling compact binaries in VIRGO and LISA type… Expand

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#### References

SHOWING 1-10 OF 41 REFERENCES

Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order

- Physics
- 1998

Post-Newtonian gravitational radiation reaction for two-body systems.

- Physics, Medicine
- Physical review letters
- 1993

Time-asymmetric structure of gravitational radiation.

- Physics, Medicine
- Physical review. D, Particles and fields
- 1993