First Attempt at Computation

Many thanks for making this attempt. The Maclaurin expansion looks very interesting, and non relativistic results will also be very interesting for m1 about equal to m2. The orbit should be much more interesting than an ellipse. I would suggest the use of c = 1 and G = 1 units and expressing masses in terms of mass of the sun (mass sun = 1). This would make the numbers much easier to deal with so there is no floating point overflow. Then, higher terms in the Maclaurin expansion can be used as long as u < 1. The trick seems to be to keep r dot dot r dot / c squared manageable. Any such system will do, the idea is to try to compute the precessions. Since EGR has been refuted in eighty three ways in the UFT papers alone, there is nothing much left of it, but ECE2 seems to be infinitely flexible and applicable. It is not fixated with claims of super accuracy. Stephen Crothers has refuted EGR in n ways, n getting close to infinity. It may be possible to devise reduced unit code that will keep r dot dot r dot / c squared within range of the computer’s capability. If this turns out to be difficult then we can develop the theory for a “clean” system such as the S2 stars where m1 << m2 and the theory is much simpler.

To: EMyrone@aol.com
Sent: 25/04/2017 12:19:19 GMT Daylight Time
Subj: Calculations for Hulse-Taylor pulsar

The relativistic 2-body Lagrangian leads to extremely complicated
equations of motion that are not handable, even with relative
coordinates. I tried a series expansion of the inverse gamma factor:

sqrt(1 – u) = 1 – u/2 – u^2/8 + …

The linear term exactly gives the non-relativistic equation. Inclusion
of the quadratic term leads to numbers of magnitude 10 power 140 or so
which exceeds numerical operability. We would need an adopted system of
units like atomic units in quantum mechanics. It seems that I have to
limit the calculation to the non-relativistic case.

Horst


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