What is the shortest constant acceleration
orbital about a sphere?
1. A simple circle? This is the one Bohr
chose, but a circle does not define
a sphere.
2. A single rotation about one axis
combined with a single rotation
about an orthogonal axis? One would
think so, but if you plot it, you find
a figure-of-eight with top
and bottom on the two poles and
centre on the equator. It exists solely
on one hemisphere, and as such
can only define a hemisphere. This does
not define a sphere.
3. A single rotation about one
axis combined with a double
rotation about an orthogonal axis.
Bingo!! This is the answer.
The Galaxy pattern orbital is the
shortest constant-acceleration
pathway around a sphere.
Occam's Razor. [Only registered users see links. ]
Plug in H, Li, or Be to see them.
John

Your question was " What is the shortest constant acceleration
orbital about a sphere? ". Without a doubt, it is a circle. Any other
orbital that you mentioned is longer then that. and if you are changing axis
so that the orbital becames aligned to a orthogonal ( EVERYONE SAY 90
DEGREE ANGLE ), then it is obvious that it is No Longer a constant
acceleration path . Besides, there would never be a orbital displaying the
behavior of your latter choices because it violates momentum conversation.

Best

John Sefton <john@petcom.com> wrote in message
news:408D35BC.9010406@petcom.com...