Geodesic and MiSaTaQuWa equation of motion
I am new to General Relativity and confused by the geodesic equation and MiSaTaQuWa equation. Most of the book saying that the geodesic equation is the motion of a particle in curvedspacetime. However, I read somewhere about this MiSaTaQuWa equation of motion. What is the difference between geodesic equation and this MiSaTaQuWa equation?
If I want to describe the motion of a particle in curvedspacetime, which one should I use? The geodesic equation or the MiSaTaQuWa equation? Thanks for the help. 
Re: Geodesic and MiSaTaQuWa equation of motion
The geodesic equations describe the motion of a 'test particle' which is assumed to be very like a point. The MiSaTaQuWa equations are for a small extended body which itself has an interaction with the field.
From Samuel E Gralla and Robert M Wald (2008) Class. Quantum Grav. 25 205009 Quote:

Re: Geodesic and MiSaTaQuWa equation of motion
http://relativity.livingreviews.org/...17/index.html
"It should be noted that Eq. (19.84) is formally equivalent to the statement that the point particle moves on a geodesic in a spacetime ..." http://arxiv.org/abs/grqc/0202086 "While geodesic motion has been demonstrated in the past, only in our case is the reference metric ... a vacuum solution of the Einstein equations through O(μ)." 
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