218(3) : Self Consistent Transition from Conical Section to Hyperbolic Spiral

Feed: Dr. Myron Evans
Posted on: Saturday, May 05, 2012 6:47 AM
Author: metric345
Subject: 218(3) : Self Consistent Transition from Conical Section to Hyperbolic Spiral

This note shows that the transition is defined self consistently in the small x limit for the class of fractal conical sections defined by:

r = alpha / ( 1 + epsilon cos ( theta))

with

epsilon < 0

It will be very interesting to explore this new class of conical sections systematically. It will probably give all types of spiral orbits as found in whirlpool galaxies, and all kinds of new orbits hitherto unknown when x is allowed to range over all its values. This class is discarded as “undefined” by Marion and Thornton.

a218thpapernotes3.pdf

View article…

Comments are closed.