Re: Test2 SPF



Roger Mr. Moderator.
As a youngster, I worked out a few different methods
of calculating out how to derive Mercury's orbital
anomally, and acquired a great deal of respect for GR,
so that's a bit of a hobby of mine, so naturally I'm
interested in pursuing alternatives philosophies.
Regards
Ken S. Tucker

======================================= MODERATOR'S COMMENT:
This group would surely benefit from an exposition of that :-)

EFEs==Einstien Field Equations
As a student, I encountered the calculations of Mercurys
GR induced orbital anomally with less than adequate
Celestrial Mechanical training. Text book expositions
generally impose an anomally "3mu^2" on the ellipse,
as a result of the effect of the Schwarzschild Solution
(SS) of the EFE's, on the otherwise Newtonian Euclidean
space and time that renders a perfect ellipse (apart
from other planets gravitational inductions).
That method is thorough, but for me, didn't connect the
EFE's to the anomally as directly as I would like.

The next method I used was to vary Newtons Force
Law such as, at Mercury's distance,

F = GMm/ r^(2.000 000 17)

where the exponent varies from a pure square, as a
function of radius.
That uses an interpretation of the SS similiar to
Dr. Francis's and Weinberg's (Grav&Cosmo pg. 181,
R=r - MG).

My favorite is to use the "red-shift" of light, such as
(P is invariant energy),

P_0 = P * sqrt(g_00) , P = P_0/sqrt(g_00)

and then take the derivative dP/dr to get the orbital
anomally. That last method gives the most direct
connection to SS which is based on the g-field effect
on light energy and therefore all energy, including
orbital energy.
Regards
Ken S. Tucker

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