Subject: Fwd: rosette orbits
Date: Thu, 27 Mar 2008 04:51:43 EDT
Finally I got eq. (45) working again. Earth data give a nearly circular orbit. When halving the angular momentum and enhancing relativistic effects (beta) by 10^6, the orbital precession below comes out. Will look on effects of variable rS tomorrow.
Horst
Many thanks! These look correct now, as you point out, your programming problems were caused by Carroll’s use of non SI units and use of angular momentum per unit mass, not angular momentum. It will be very interesting to model r sub S to produce inward spiralling behaviour superimposed on these rosette orbits. I think that Carroll also dropped a factor of two and often drops a factor c due to his use of non SI notation. I always reinstate all these missing c’s in my SI notation. However the combined use of computer algebra and hand calculation has produced the right result, just distributed. This will be the result used in paper 108. Our work at AIAS is therefore self checked by computer whenever possible and is of high accuracy.
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