Trajectories around spinning and charged black holes and naked singularities

Photon, charged & neutral particle orbits around a rotating and charged body
Left: projection to the x,z and right: the x,y plane, natural units in G=M=c=kB=1
The circling dot with the dashed trail is a ZAMO at the particle's start position

a is the central body's spin parameter, ℧ its charge and q the particle's charge
The horizon and ergosphere color code is as in https://tinyurl.com/2p9a5y4h
The conserved quantities are E total, L axial aka Lz and the Carter constant Q
Local velocities at the bottom of the numeric display are relative to ZAMOs

Metric: Kerr Newman, http://scholarpedia.org/article/Kerr-Newman_metric
Coordinates: Boyer Lindquist cartesian projection, http://shorturl.at/nrHY5

Code, more examples and explanations at http://kerr.newman.yukterez.net
Higher quality version (1GB QuickTime Format) at https://f.yukterez.net/kn
Soundtrack: Kvltgang↵RetroRebel+L0ki→Kvltspeed, https://bit.ly/3HNloSF
More stuff on special and general relativity: https://www.yukterez.net