
Abstract 
1 
Introduction 

1.1 
Gravitational wave detection and postNewtonian
approximation 

1.2 
PostNewtonian equations of motion 

1.3 
Plan of this
paper 
2 
Foundation of the PostNewtonian Approximation 

2.1 
Newtonian
limit along a regular asymptotic Newtonian sequence 

2.2 
PostNewtonian
hierarchy 

2.3 
Explicit calculation in harmonic coordinates 
3 
PostNewtonian
Equations of Motion for Compact Binaries 

3.1 
Strong field point
particle limit 

3.2 
Surface integral approach and body zone 

3.3 
Scalings
on the initial hypersurface 

3.4 
Newtonian equations of motion
for extended bodies 
4 
Formulation 

4.1 
Field equations 

4.2 
Near zone
contribution 

4.3 
Lorentz contraction and multipole moments 

4.4 
General
form of the equations of motion 

4.5 
On the arbitrary constant


4.6 
Newtonian equations of motion 

4.7 
First postNewtonian equations
of motion 

4.8 
Body zone boundary dependent terms 
5 
Third PostNewtonian
Gravitational Field 

5.1 
Superpotential method 

5.2 
Superpotentialinseries
method 

5.3 
Directintegration method 
6 
Third PostNewtonian MassEnergy
Relation 

6.1 
Meaning of 
7 
Third PostNewtonian MomentumVelocity
Relation 
8 
Third PostNewtonian Equations of Motion 

8.1 
Third postNewtonian
equations of motion with logarithmic terms 

8.2 
Arbitrary constant


8.3 
Consistency relation 

8.4 
Third postNewtonian equations of
motion 

8.5 
Comparison 

8.6 
Summary 

8.7 
Going further 
9 
Acknowledgements 
A 
Far
Zone Contribution 
B 
Effects of Extendedness of Stars 

B.1 
Spinorbit coupling
force 

B.2 
Spinspin coupling force 

B.3 
Quadrupoleorbit coupling force 

B.4 
Spin
geodesic precession 

B.5 
Remarks 
C 
A Generalized Equivalence Principle
Including The Emission of Gravitational Wave 

C.1 
Introduction 

C.2 
Equations
of motion 

References 

Footnotes 

Figures 