Good questions for which I am incompetent to answer (not my day job).
Center speakers have a very wide range of frequencies, but generally the port is tuned to boost the bass as the main driver(s) fall off, so tuning is around the low-frequency limit of the speakers, say a little above the -3 dB point. Reviews often state the port tune, and impedance plots will show it as a dip in impedance (at tune the port provides "all" the output and the bass driver is "stopped" from moving so minimum impedance).
The required distance allows air from the port to eject sufficiently before hitting a boundary, which can influence (raise) the port's tuning frequency. If the two ports are close together I would place the speaker at twice the total diameter; if they are far apart (more than 2x their diameter), I would space it about the diameter of one port away.
All of the above a quasi-educated guess on my part.
HTH - Don