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Elliptical Orbit
I'm trying to animate an elliptical orbit for a presentation.
It's not as easy as I thought... If I'm right elliptical anc circular orbits obey to the same exact formula, only the initial conditions change (initial velocity). Can someone help me out on this one, or maybe indicate another group where I can find that kind of info? Thanks in advance |
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"Starman" wrote in message
oups.com... I'm trying to animate an elliptical orbit for a presentation. It's not as easy as I thought... If I'm right elliptical anc circular orbits obey to the same exact formula, only the initial conditions change (initial velocity). Can someone help me out on this one, or maybe indicate another group where I can find that kind of info? Thanks in advance They obey the same laws of motion, which can be expressed as a second order differential equation, or for solving numerically, as a pair of first order differential equations. You don't say *how* you want to animate it, or what tools you have at hand. Do you really want to integrate the equations of motion (simulation) or do you just want a plausible display (animation)? Anyways, if you do a search on "Verlet algorithm" or Runge Kutta, you'll start turning up related hits. Here's a couple to get you pointed in the right direction: http://burtleburtle.net/bob/physics/solar.html http://sip.clarku.edu/3e/chap5.pdf |
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"Starman" wrote in message oups.com... I'm trying to animate an elliptical orbit for a presentation. It's not as easy as I thought... If I'm right elliptical anc circular orbits obey to the same exact formula, only the initial conditions change (initial velocity). Can someone help me out on this one, or maybe indicate another group where I can find that kind of info? Thanks in advance Are these any use? animated demo as a gif http://home.cvc.org/science/kepler.htm java applet (may be hard to include in a presentation) http://www.sunsite.ubc.ca/LivingMath...er/kepler.html I'm sure others exist |
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"Starman" wrote in news:1105622149.721787.313170
@c13g2000cwb.googlegroups.com: I'm trying to animate an elliptical orbit for a presentation. It's not as easy as I thought... If I'm right elliptical anc circular orbits obey to the same exact formula, only the initial conditions change (initial velocity). Can someone help me out on this one, or maybe indicate another group where I can find that kind of info? Thanks in advance Willman-Bell sells a floppy disk of Basic codes that go with JMA Danby's state of the art book, "Celestial Mechanics." The book is $30, and the disk is $15, which are excellent prices, considering the usual prices of good textbooks. |
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