Feed: Dr. Myron Evans
Posted on: Tuesday, February 14, 2012 1:08 AM
Author: metric345
Subject: 208(5) : Checking the Arc Length Along the Hyperbolic Spiral
| This is eq. (1), evaluated by co author Horst Eckardt using Maxima. The conclusions of note 208(3) are unaffected. The result (1) from Maxima is diferent, however, from the result I found from a standard integral site called “SOS” and used in note 208(3). I prefer the Maxima result because it has been checked by many scientists over many years. Doug Lindstrom could use Mathematica or Maple to evaluate the integral (1). All three code packages should agree of course, and so should NAG, IBM ESSL, IBM MOTECC and so on. For such a simple curve (5) the arc length is a very complicated expression. The arc length is simply the length along the spiral. The main point of note 208(3) is to check the new equation of motion of general relativity obtained from the method of UFT207, and this equation made perfect sense for cases where the hyperbolic spiral is used. This spiral is theta = r0 / r and is analytically very simple. The equation of motion was checked analytically in another way in note 208(4).
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