Whoops, I sent that before I was finished. I wanted to add that a mathematician named Gary Rubinstein did a nice series of videos explaining Feynman's geometrical derivation of Kepler's laws. No calculus is used because the argument is strictly geometrical. Here is the first of eight videos in the series. Each one is about 10 minutes. https://www.youtube.com/watch?v=ObVDk7WPm9Y
Anyway, I will let you resume your house-work. Harry On Tue, May 24, 2016 at 2:08 PM, H LV <hveeder...@gmail.com> wrote: > Steven, > > Your criticisms are quite justified. The problem is I don't know how to > pause a gif animation. At this time I didn't expect to leave more than an > "impression" so I apologize if the lack of detail frustrated you. > > Are you familiar with a book called Feynman's Lost Lectures? It is based > on Feynman's lecture notes, where Feynman recontructs Newton's > *geometrical* derivation of Kelper's laws. He reconstructs it up to a > point, but then he admits that he lacks the geometrical knowledge to follow > Newton's argument to the end so he employs a modern trick using velocity > vectors to simplify the argument. > > On Tue, May 24, 2016 at 11:40 AM, OrionWorks - Steven Vincent Johnson < > orionwo...@charter.net> wrote: > >> Harry, >> >> I need to remove myself from Vortex again in order to prevent further >> temptation to commit commentary. >> >> I'll return after I have another progress report to make. One thing I've >> learned about my own R&D endeavors is that it's taking a LOT longer to >> manifest than what I had originally anticipated. I knew there would be >> delays, but not this much. The experience has given me a greater >> appreciation for just how long it's taking the fractious CF community to >> get their chickens lined up. Crossing the road is filled with risks. It's >> easy to get run over. >> >> Please feel free to contact me privately via Email if you're interested >> in further correspondence. Speaking selfishly for myself, I hope you might >> be able to parse your interesting GIF animation down to more digestible >> chunks so that I can better follow the steps. There is a lot going on there. >> >> Regards, >> >> Steven Vincent Johnson >> orionworks.com >> www.zazzle.com/orionworks >> stevenvincentjohnson.bandcamp.com >> >> >> >> >> >> From: OrionWorks - Steven Vincent Johnson [mailto:orionwo...@charter.net] >> Sent: Monday, May 23, 2016 9:28 PM >> To: vortex-l@eskimo.com >> Subject: RE: [Vo]:Dear Johannes >> >> Harry, >> >> Thanks for sharing your work on orbital mechanics geometry with me and >> with the rest of the Vort Collective. >> >> Wow! That is a really fascinating animated geometric construct. >> Incredibly elaborate. You appear to be quite gifted in your ability to >> build complicated animation concepts. My complements! And now, here's my >> critique! (Don't worry. I'm still extremely impressed.) >> >> I desperately wanted to be able to stop your animated gif at various >> points. There are many, MANY, lines and circles you are generating here as >> you try to get your point across. I keep getting lost. I can't keep up with >> what you are trying to reveal. I suspect your construct would be better >> understood and appreciated by the general public (and me too) if you could >> break the steps down into more digestible chunks. I would also recommend >> adding some descriptive wording here and there as you pause after something >> important has or is about to happen. >> >> One lesson I've had to learn the hard way about my own Kepler related >> work is that we, the researcher, can become somewhat isolated (blinded) by >> the fact that if we throw a bunch of data too quickly at the novice >> observer, the person will not be able to follow all the steps. It's not >> their fault. It's just too much data for a novice to digest in one meal. >> When they get lost, they give up. We forget that in our own heads what now >> looks so utterly clear and simple to us still looks utterly confusing to a >> novice. We have spent weeks and months working out all the geometry in our >> own brain. The information has essentially become hardwired in our >> understanding of all the crucial geometry involved. Alas, a new observer >> has not yet had the chance to build such hardwiring into their own >> wetwiring. >> >> I'm interested in what you are attempting to reveal because I want to >> understand if there might exist a relationship with your work and mine. It >> would appear that my application of orbital mechanics geometry reveals very >> different things than what your geometry appears to reveal. My research >> into orbital mechanics geometry appears to reveal that VELOCITY vectors can >> be discerned directly out of Kepler's elliptic construct. All one has to do >> is add a little extra geometry, and suddenly it all becomes clear. One >> apparent difference between your work and mine is that my constructs appear >> to be more simplified. I'm aiming for the same kind of simplicity that >> Kepler revealed in his three famous laws. I think I have found that >> simplicity too. Two of the three additional laws (Laws 4 & 5) are actually >> already known to scholars. But their significance is not understood (or >> perceived) as additional Kepler laws. I want to rectify that. The third new >> law (law 6) is, to the best of my knowledge, unknown to the public domain. >> It shows how to use the empty foci to construct velocity measurements. >> >> Steven Vincent Johnson >> orionworks.com >> www.zazzle.com/orionworks >> stevenvincentjohnson.bandcamp.com >> >> >> From: H LV [mailto:hveeder...@gmail.com] >> Sent: Monday, May 23, 2016 5:43 PM >> To: vortex-l@eskimo.com >> Subject: Re: [Vo]:Dear Johannes >> >> Steven, >> >> I know that in the past you have wondered if the second focus of an >> ellipse could have any role to play in the determination of orbits, since >> it plays no role in Kepler laws or in Newton's derivation of Kepler laws. >> Well a few years ago, I invented a geometrical method in which the second >> focus of an ellipse is first located prior to determining the shape and >> size of an orbit. Information about speed and escape velocity is first >> mapped to positions on the circumference of a circle and this point is used >> to projectively locate the second focus (Fe) relative to the planet which >> is located at the first focus (Fp). Once the second focus is located the >> shape of orbit can be computed. However, my computations consist of >> geometric constructions and a gif animation which you can view here: >> >> >> https://docs.google.com/document/d/1_i-KDTRAy7I9q54g6H22shW7M5e-fj36Sva_seHj75Y/edit?usp=sharing >> This method of drawing conic sections is not new, but I think how I use >> of this method is new. >> >> Harry >> >> >> >
