Thanks Harry, Unfortunately, I get no sound that accompanies the you tube demonstration.
Regarding Celestial Mechanics and the orbital pattern that makes up the classic ellipse shape - the two foci, especially the "ghost"/empty foci has been a mystery and enigma that has haunted many prominent individuals for hundreds of years. Years ago I started investigating the problem as well, initially thinking I was breaking new ground. Silly me! Nevertheless, my probing continues, on and off. Regards Steven Vincent Johnson www.OrionWorks.com www.zazzle.com/orionworks > -----Original Message----- > From: Harry Veeder [mailto:hlvee...@yahoo.com] > Sent: Monday, October 11, 2010 6:41 PM > To: vortex-l@eskimo.com > Subject: Re: [Vo]:Anyone recognizes this astronomy integral? > > Steven and Mauro, > > I think you'd like how Ellipitical orbits are explained in these links. > They are based on Feynman's so called "lost lectures", where he showed > how to use geometry without calculus to derive elliptic orbits. > > paper: > http://journal.geometryexpressions.com/pdf/kep.pdf > > video tutorial in several parts: > http://www.youtube.com/user/nymathteacher#p/u/17/ObVDk7WPm9Y > > > harry >