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new Celestial Mechanics research



 
 
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Old June 25th 04, 06:30 PM
Bill Clark
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Default new Celestial Mechanics research

I am trying to get some comments on my Ph.D research here at the
University of Texas at Austin. The title of my dissertation is "A
General Solution to the Unrestricted Problem of Three Bodies" and it
is on the web at http://home.austin.rr.com/whcii/ There are a total
of forty mini-papers on this theme, which don't as much give a formal
solution but specify dozens of in depth research projects in Celestial
Mechanics leading toward a solution. (Actually all indications are
that a solution is not possible at all, but that nature strives to
solve it to the extent that the Three Body Problem (3BP) is the
equivalent of a physical law.)

There are many new ideas posed, from applications of the 3BP in
cosmology to quantum chemistry, as well as the astrophysics of
relativity and string theory. Central to the theme is the idea of a
new Lagrange Point for the 3BP, and a whole series of stability points
for the Ten Body Problem - i.e. the solar system. I also have a paper
on the "N-1 Body Problem" (N minus one), since the N Body Problem has
long since been solved.

The most interesting aspect of my research is the mathematical physics
of the problem, where I show physical representations of many abstract
mathematical concepts - the complex plane, the structure of certain
matrices, and other fundamental notions of math theory. One or more
of these ideas might lead to a new "integral of motion," which would
open up Celestial Mechanics to hundreds, if not thousands, of new
papers.

As I said, this is my Ph.D dissertation and for all practical purposes
this expose on the web is my dissertation defense. I would appreciate
any comments you might have.

Regards,

Bill Clark
Austin Texas
 




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