Automotive Air Conditioning Service Manual

This page is dedicated to my Software Compilations. Observe my skill in
creating the ultimate Parametric User Interface. Copyright 2000-2001©,
Jay Salsburg, all rights reserved.

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Parametric Four Orbit Generator

The **Parametric Four Orbit Generator©** for MS Windows is for educational
purposes. It simulates the behavior of four objects in Newtonian space.
The smaller the 'Delta Time' parameter the higher the resolution of computation
per unit time. So therefore, the objects move more slowly but more accurately.
This program can simulate real solar systems with the proper parameters.
It has the resolution to create real results with the sacrifice of speed.
Write down the parameter numerics you like for reuse. The 'Return' and 'Enter'
Keys will operate as the 'Compute' Button. The 'Escape' key will operate
as the 'Stop' Button.

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Download Maximum Connectivity Demonstrator

The

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Download Parametric Rossler Oscillator Generator

The

Non-Linear Formula

Delta x/Delta t = -Y -Z

Delta x/Delta t = X + Y / A

Delta x/Delta t = (1 / B) + Z * (X - C)

Download Parametric Duffing Oscillator Generator

The

Non-Linear Formula

Delta x/Delta t = Y

Delta x/Delta t = ( - ((A * (X * X * X)) + (C * X) + (B * Y))) + (F * Cos (Z))

Delta x/Delta t = 1

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Download Parametric Rodin Torus Generator

Now saves DXF of Geometry.

Based on a template circle, of 80 units in radius, vectors are drawn to resemble the trajectories of the windings of the Rodin torus. The are vectors spaced around the circle at 30 degree increments. A circle was drawn with a radius of 22. However it does not fall into tangency with the inside radius of the windings. CAD drafts show that it is a radius of 20.6875 units. The bisector of this radius is 50.375 not 51.

Based on this assumption, I created a program that created the trajectory of a sine wave around a torus. With a center trajectory diameter of 50.375 and a radius of 80 minus 20.6875 divided by 2 which equals 29.6875.

The algorithm uses a trick to simulate the proper quantity of turns in the winding. A complete 360 degree rotation of the sine wave is completed in 300 degrees of radius of the torus. 300 divided by 360 is .83333333 or 5 over 6. So by modifying the code to the algorithm to create a complete rotation of the sine wave in just 300 degrees of the torus, a primary building module of the complete winding can be created.

The parametric equation for a Toroidal Spiral is:

x = (a * sin (c * t) + b) * cos (t)

y = (a * sin (c * t) + b) * sin (t)

z = a * cos (c * t)

a = 29.6875

b = 50.375

c = 2 (number of turns)

This is obviously not a simple task. My extensive experience in coding parametric equations allowed me to create a quick solution. I achieved a modest level of success. I can control all parameters of the spiral and the resolution of the trajectory to achieve the observed effect.