PT6  Dynamics of extended test objects  equations of motion and their solution 
Speaker 
Laemmerzahl, Claus 
Coauthors 
E. Hackmann, Y,N. Obukhov, D. Puetzfeld, I. Schaffer 
Talk Title 
Analytic solution of spining particle motion in Kerr spacetime 
Abstract 
The motion of spinning test bodies in General Relativity is analyzed. By means of a multipolar approximation method for extended test bodies we derive the equations of motion. We specify the motion of the spinning poledipole particle to lie in the equatorial plane of a Kerr black hole geometry and completely classify the orbital motion. The analytic solution for this kind of motion is presented. An exact expression for the periastron shift of a spinning test body is given. Implications of test body spin corrections are studied and compared with the results obtained by means of other approximation schemes. 
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