The orbital frequencies expected for such a black hole were well below those Dr. Strohmayer had found, he said, indicating that there must be a spin.
The orbital frequency, Dr. Strohmayer said, "gives information about the mass and radius of the star."
Given these assumptions and what we know about the star and the planets' orbital frequency, it's possible to make some reasonable estimates about what the planets should look like.
Solar Beat - Musical Solar System - based on real orbital frequencies.
In mechanics, an adiabatic change is a slow deformation of the Hamiltonian, where the fractional rate of change of the energy is much slower than the orbital frequency.
A number of near-integer-ratio relationships between the orbital frequencies of the planets or major moons are sometimes pointed out (see list below).
By Kepler's Third Law, the new rotation rate at this point will be faster by , or nearly three times the previous orbital frequency.
The orbital frequency will vary from 1 revolution per second at the start and 918 revolutions per second when the orbit has shrunk to 20 km at merger.
The gravitational radiation emitted will be at twice the orbital frequency.
The four lowest peaks were the fundamental orbital frequencies of the four black holes, while the higher harmonics were evidence of the slight ellipticity of the orbits.