Introducing Fractals: A Graphic Guide (Introducing...) by Nigel Lesmoir-Gordon & Will Rood

Author:Nigel Lesmoir-Gordon & Will Rood [Lesmoir-Gordon, Nigel]
Language: eng
Format: epub
ISBN: 9781848317833
Publisher: Icon Books Ltd
Published: 2014-06-05T05:00:00+00:00

SIMPLE RULES PRODUCE HIGHLY COMPLEX BEHAVIOUR

A very simple formula like Newton’s law, which is just a few symbols, can explain the motion of the planets around the sun and many, many other things to the 50th decimal!

Newton’s Law and Chaos

Although Newton’s law describes the periodic orbits of the planets in the solar system, it also implies that the system is in fact chaotic – only stable in the short-term. In this case, millions of years.

The asteroid belt that lies between Mars and Jupiter is clear evidence of the chaos implied by Newton’s law. Saturn’s rings display a fractal structure akin to the Cantor set, with gaps in critical regions which correspond to unstable orbits.

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