Volume 561, January 2014
|Number of page(s)||14|
|Section||Numerical methods and codes|
|Published online||22 January 2014|
ynogkm: A new public code for calculating time-like geodesics in the Kerr-Newman spacetime⋆
1 Yunnan Observatories, Chinese Academy of Sciences, 650011 Kunming, PR China
2 Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, 650011 Kunming, PR China
3 University of Chinese Academy of Sciences, 100049 Beijing, PR China
Received: 29 August 2013
Accepted: 9 November 2013
In this paper, we present a new public code, named ynogkm (Yun-Nan observatories geodesic in a Kerr-Newman spacetime for massive particles), for the fast calculation of time-like geodesics in the Kerr-Newman (K-N) spacetime, which is a direct extension of ynogk (Yun-Nan observatories geodesic Kerr) 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, θ, φ, t and the proper time σ 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.
Key words: accretion, accretion disks / black hole physics / relativistic processes / methods: numerical
The current version of the code is only available at the CDS via anonymous ftp to cdsarc.u-strasbg.fr (220.127.116.11) or via http://cdsarc.u-strasbg.fr/viz-bin/qcat?J/A+A/561/A127
© ESO, 2014
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