Experiment with the controls to explore possible orbits:

The "spin rate" is how fast the black hole is spinning.

The "radius" controls how far from the black hole the planet's orbit starts.

is the angular momentum of the planet around the spin axis. is a measure of how fast the planet is orbiting. More , and the planet escapes. Less , it is captured. Negative , it orbits clockwise instead of counterclockwise.

is the polar angle, initially. indicates how far above or below the equatorial symmetry plane the planet starts. is the initial polar angular momentum. It indicates how fast the planet is moving, up or down, initially.

Choose an orbit from the drop down list, then click "orbit preset".

Move the sliders to find nearby orbits.