Journal
ASTRONOMY & ASTROPHYSICS
Volume 561, Issue -, Pages -Publisher
EDP SCIENCES S A
DOI: 10.1051/0004-6361/201322565
Keywords
accretion, accretion disks; black hole physics; relativistic processes; methods: numerical
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Funding
- National Natural Science Foundation of China [11133006, 11163006, 11173054]
- National Basic Research Program of China (973 Program) [2009CB824800]
- Chinese Academy of Sciences [KJCX2-YW-T24]
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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, 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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