Thread: Question about relativistic precession calculation method...

Is anyone familiar with this method for calculating the relativistic precession of an orbiting body?

When simplifying by considering a circular orbit, the average orbit velocity v is:

v = (2π a)/t,

where π is pi, a is the semi-major axis, and t is the period of orbit.

The precession rate n is:

n = 2π [1 - cos(asin(v/c))],

where c is the speed of light in vacuum.

Converting this to arc seconds of a degree per century, the rate for Mercury is:

" = n (360)(60)(60)(415) = 43"

Similarily for Earth:

" = n (360)(60)(60)(100) = 4"

I have written a paper on this and would like to add attributions to whomever might have discovered this equation before me.

Have you seen this method anywhere? Any help would be greatly appreciated.

For those using the standard method from General relativity, and are used to calculating this in radians, here is a comparible solution:

n = 4π² [1 - cos(asin(v/c))]
" = n (180/π)(60)(60)(415) = 43"

Compare yours to this - http://www.mathpages.com/rr/s6-02/6-02.htm

What exactly did you do, just posting a few equations helps no one really.

Thank you for this link. I will look into it.

I calculated for extra transverse gravitation as a result of loss of internal process and diffusion/reflection of light by the orbiting body:
a = GM[2 - cos(asin(v/c))]

If any path is shortened due to acceleration of the body that follows it, precession occurs at a rate of:
n = 2π [1 - cos(asin(v/c))]

Like the tesselation of a smooth path. The glocal curvature is the same, because the local accelerations are stronger and less frequent.

I put some papers up at:
http://cavekitty.com

Unfortunately they are not acceptable by journal standards.

I've put up a new paper "Examining Thermal Equilibrium and Relativistic Precession" which explains the precession calculation in terms of a reduction of internal cyclical process due to velocity.

At v = c, the body has a minimum of internal cyclical process, which results in a full 2π increase in orbit motion at the whole-body scale.

Physically, the internal process of the body uncurls over space, resulting in an increased displacement.