FIZIKA B 15 (2006)  3, 99-106

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PERIASTRON SHIFT IN THE ORBIT OF A PARTICLE ORBITING
A KERR BLACK HOLE

S. B. FARUQUE1 and SH. HUDA

Department of Physics, Shah Jalal University of Science and Technology, Sylhet 3114, Bangladesh
1E-mail address: awsbf62@yahoo.com

Received 2 October 2005;   Accepted 25 September 2006
Online 29 December 2006

In this paper, we present a simple calculation of periastron shift in the orbit of a test particle in the Kerr field. We differentiate the prograde and retrograde orbits by the orbital angular momentum of the test particle. The orbit equations are then clearly different for the two types of motion. The calculated periastron shift is larger in a retrograde orbit than in a prograde orbit, a fact confirming previous results. We compare the difference between periastron shifts in the two types of motion with the results of Esteban and Diaz who used elliptic integrals to calculate the shift.

PACS numbers: 04.20.Cv, 04.25.-g
UDC 521.184

Keywords: periastron shift, Kerr field, prograde and retrograde orbits

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