
Abstract 
1 
Introduction 

1.1 
Gravitationalwave generation formalisms 

1.2 
Problem
posed by compact binary systems 

1.3 
PostNewtonian equations of
motion and radiation 
Part A: PostNewtonian Sources 
2 
Einstein’s Field Equations 
3 
Linearized Vacuum Equations 
4 
Nonlinear
Iteration of the Field Equations 

4.1 
The postMinkowskian
solution 

4.2 
Generality of the solution 

4.3 
Nearzone and farzone
structures 

4.4 
The radiative multipole moments 
5 
Exterior Field of a
PostNewtonian Source 

5.1 
The matching equation 

5.2 
General expression
of the multipole expansion 

5.3 
Equivalence with the WillWiseman
formalism 

5.4 
The source multipole moments 

5.5 
PostNewtonian field in the near
zone 
6 
Nonlinear Multipole Interactions 
7 
The Third PostNewtonian Metric 
Part B: Compact Binary Systems 
8 
Regularization of the Field of Point Particles 

8.1 
Hadamard selffield
regularization 

8.2 
Hadamard regularization ambiguities 

8.3 
Dimensional
regularization of the equations of motion 

8.4 
Dimensional regularization of the
radiation field 
9 
Newtonianlike Equations of Motion 

9.1 
The 3PN acceleration
and energy 

9.2 
Lagrangian and Hamiltonian formulations 

9.3 
Equations of
motion in the centerofmass frame 

9.4 
Equations of motion and energy
for circular orbits 

9.5 
The innermost circular orbit (ICO) 

9.6 
Accuracy
of the postNewtonian approximation 
10 
Gravitational Waves from
Compact Binaries 

10.1 
The binary’s multipole moments 

10.2 
Contribution
of wave tails 

10.3 
Orbital phase evolution 

10.4 
The two polarization
waveforms 
11 
Acknowledgments 

References 

Footnotes 

Figures 

Updates 