Here's a pointer to some related writings @ Math Forum, which I used to tell Arthur S. (this archive) was more like "center ring" in my circus, i.e. where math teachers meet irrespective of caring about geek subculture, computers etc.:
http://mathforum.org/kb/thread.jspa?threadID=1845616&tstart=0 Re planets in orbit, another interesting implementation, already field tested, multiplies complex numbers of unit radius, begetting rotation, then scales appropriately. Of course these orbits are merely circular, so not that realistic, so apply some field distortion if wanting elliptic (not something we tried). Here's some code: http://www.4dsolutions.net/ocn/python/orbits.py Kirby 4D
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