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arXiv · 1311.4436

ynogkm: A New Public Code For Calculating time-like Geodesics In The Kerr-Newmann Spacetime

Xiao-lin Yang·Jian-cheng Wang
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Abstract

In this paper we present a new public code, named $ynogkm$, for the fast calculation of time-like geodesics in the Kerr-Newmann (K-N) spacetime, which is a direct extension of $ynogk$ calculating null geodesics in a Kerr spacetime. Following the strategies used in $ynogk$, we also solve the equations of motion analytically and semi-analytically by using Weierstrass' and Jacobi's elliptic functions and integrals, in which the Boyer-Lidquist (B-L) coordinates $r$, $\theta$, $\phi$, $t$ and the proper time $\sigma$ are expressed as functions of an independent variable $p$ (Mino time). All of the elliptic integrals are computed by Carlson's elliptic integral method, which guarantees the fast speed of the code. Finally the code is applied to a couple of toy problems.

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Xiao-lin Yang, Jian-cheng Wang. 2013-11-18. ynogkm: A New Public Code For Calculating time-like Geodesics In The Kerr-Newmann Spacetime. https://doi.org/10.1051/0004-6361/201322565

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