Numerically, it just comes too close to feel like an accident. It's very similar to the six-planet systems that symmetry arguments say are exact. And I *think* I'm starting to see hints of a pattern to this, but I'm not sure. I'm going to try to examine the specific numbers of this one and see if it can be shown to be exact. (I'm hoping maybe it has a lot of serendipitous things like 'cos alpha = 1/2' in it, which we can put nice, clean values to, rather that stuff like 'cos alpha = 137/293') When I get a bit more time, I'll see about posting my algorithm for generating these numbers. On 07/13/15 23:06, Tom Rokicki wrote:
Can you share any support for your belief, or is this a puzzle for us to resolve?
-tom
On Mon, Jul 13, 2015 at 10:50 PM, William Somsky <wrsomsky@gmail.com <mailto:wrsomsky@gmail.com>> wrote:
I believe the following eight-planet system to be exact:
ring = 53, sun = 27, offset = 20.00, planets = 3, 5, 5, 13, 13, 21, 21, 23