Now that is what I call a wild set of plots! It appears like you found a way to construct the electron orbitals for a complex atom. Nice art.
I thought that you were going to demonstrate that a stable, more or less nominal orbit could be obtained for different powers of force versus distance. That was my main question since I think the laws of COE would be violated if a stable elliptic orbit were obtained with anything except a second order force. You might do some tweaking to your equation and obtain fractal curves. My simulation was conducted to visually see how interactions between planets lead to unstable systems and the ejection of small ones. I think I gave up after I had a single planet simulated due to the complexity of the equations with many bodies. In my simulation I incremented time in small steps and recalculated the delta changes in position at each interval. That technique works well for solving high order differential equations. I have been tempted to use it for the solution to some of the partial differential equations associated with heat flow, but lack sufficient energy to see it through. Good luck with your interesting endeavor. Dave -----Original Message----- From: OrionWorks - Steven Vincent Johnson <orionwo...@charter.net> To: vortex-l <vortex-l@eskimo.com> Sent: Thu, Aug 9, 2012 10:01 pm Subject: RE: [Vo]:Noble Gas Plasma Engine: inside piccy > Would you mind giving us a short preview of the higher > power effects you simulated. I did a similar thing once > and all I recall is that the second order drop with distance > was the only one that was stable in orbits. My simulation > was a bit crude at the time so I am asking you for your > observations. Thanks. Hi Dave, Against my better judgment I have decided to give a small preview. Check out: http://test.orionworks.com/ As you might have guessed this is one of the sub-domain locations where I'm in the midst of performing a major overhaul of my entire web site. THIS LOCATION IS A TEST SITE! EVERYTHING IS UNDER CONSTRUCTION! Lots of links here don't work, or work incorrectly. Things here are constantly subject to change without notice as I experiment & fiddle about with this and that feature. Here today… gone tomorrow. The celestial mechanics animation is a multi-framed gif file. I chose using an animated GIF file in this situation over flash because flash is not supported on Apple's IPad platform... at least not officially. It's a shame. I believe this particular animation involved three factors: a positive force 1/r (NOT 1/r^2) a negative/repulsive 1/r^3 force and an external constant force that was gradually built up over a series of animations. It was the external force that changed over the entire simulation run. Everything else remained a constant, so to speak. The external force is gradually building up from the bottom of the picture. As the force builds upward it gradually forces the orbiting satellite to gyrate (wiggle and dance!) upwards. Eventually it pops out of the picture! What astonished me as I ran these simulations were the number of unexpected bifurcations that would suddenly manifest when I least expected it. Many, MANY of my simulations exhibited an astonishing number of unexpected bifurcations. I have generated many other simulations that produce far more interesting effects, and beauty. Hopefully before the end of the year I’ll have a few additional things out there… We’ll see how it goes. Regards Steven Vincent Johnson www.OrionWorks.com www.zazzle.com/orionworks
