Welcome, Guest. Please Login.
 10/22/18 at 19:11:22 News: Registration for new users has been disabled to discourage spam. If you would like to join the forum please send me an email with your desired screen name to tony at gravitysimulator dot com.

 Pages: 1 2
 Resonance patterns (Read 10133 times)
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Resonance patterns 10/12/07 at 07:54:30   Planets or asteroids orbiting in a resonance to another body make curious patterns if seen in a rotating frame . The patterns vary as the resonance number varies , but also with varying eccentricity .   It is not always directly clear out of a picture which resonance occurs if one looks at an orbit .   In order to get some feeling with the patterns I created some frames in which one parameter has been changed .   The first picture shows a simple 1:1 resonance .   The following frames show the patterns with increasing eccentricity , starting with e=0.1 , to e=0.9 in steps of 0.1. Back to top « Last Edit: 10/12/07 at 15:07:23 by frankuitaalst »     IP Logged
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Re: Resonance patterns Reply #1 - 10/12/07 at 07:55:46   The following frame shows the 1:2 resonances , starting with e=0 to e=0.9. Back to top IP Logged
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Re: Resonance patterns Reply #2 - 10/12/07 at 08:20:46   1 to 3 resonances give the followiong pictures , starting with e=0...to e=0.9 Back to top IP Logged
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Re: Resonance patterns Reply #3 - 10/12/07 at 08:40:08   The 2 to 3 resonance gives even more funnier pictures .   e=0.....0.9 Back to top IP Logged
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Re: Resonance patterns Reply #4 - 10/12/07 at 12:34:55   The 3 to 4 resonances give an even more complicated pattern .   e=0....0.9 Back to top « Last Edit: 10/12/07 at 13:46:09 by frankuitaalst »     IP Logged
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Re: Resonance patterns Reply #5 - 10/12/07 at 12:37:15   In case the body orbits at the inside of the reference we have the same resonance structure as above , but the pattern is totally different .   Heres the 4 to 3 resonance .   e=0...0.9.   Somewhere between e=0.1 and e=0.2 the orbit is "squared". Back to top « Last Edit: 10/12/07 at 14:13:48 by frankuitaalst »     IP Logged
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Re: Resonance patterns Reply #6 - 10/12/07 at 14:16:06   3 to 5 Resonances give the following ... Back to top IP Logged
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Re: Resonance patterns Reply #7 - 10/12/07 at 14:16:53   while at 5 to 3 it looks like this ... Back to top IP Logged
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Re: Resonance patterns Reply #8 - 10/12/07 at 15:22:17   An innerplanet in a 3:2 resonance gives the following picture Back to top IP Logged
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Re: Resonance patterns Reply #9 - 10/12/07 at 15:23:26   Whereas a planet in 2:1 resonance evolves like this Back to top IP Logged
 Tony YaBB Administrator Posts: 1058 Gender: Re: Resonance patterns Reply #10 - 10/12/07 at 17:19:20   There's a link on the main page describing these types of resonant patterns: http://www.orbitsimulator.com/gravity/articles/page325.html You've probably figured out by now that the number of loops represents one of the numbers in the resonance. Back to top IP Logged
 EDG Ultimate Member oh, crumbs!!! Posts: 611 Gender: Re: Resonance patterns Reply #11 - 10/12/07 at 18:05:25   I love seeing this stuff, just reminds me how amazingly cool nature can be Back to top (formerly known as Mal)   IP Logged
 Tony YaBB Administrator Posts: 1058 Gender: Re: Resonance patterns Reply #12 - 10/12/07 at 18:16:47   I agree.  One of these days I'm going to start a thread only for screenshots of cool looking stuff.  Only brief explanations required. Back to top IP Logged
 shellandtube Uploader Fly Me To The Moon! Posts: 46 Gender: Re: Resonance patterns Reply #13 - 10/13/07 at 00:01:53   Just to check because i am not sure if this is right. To create a 1:n resonance the outer object must describe an orbit with n times the orbital period. To get this the increase in sma major axis must be such that a(n) =a1*n(2/3)? From keplers (1st or 2nd)law; square of period is proportional to cube of sma. Back to top « Last Edit: 10/13/07 at 03:13:38 by shellandtube »   The shortest distance between two points is a straight line, or is it?   IP Logged
 frankuitaalst Ultimate Member Great site Posts: 1508 Gender: Re: Resonance patterns Reply #14 - 10/13/07 at 00:43:13   Quote from Tony on 10/12/07 at 17:19:20:There's a link on the main page describing these types of resonant patterns: http://www.orbitsimulator.com/gravity/articles/page325.html You've probably figured out by now that the number of loops represents one of the numbers in the resonance. I wasn't aware of this . Thanks ! Back to top IP Logged
 Pages: 1 2
 Forum Jump: ----------------------------- General -----------------------------=> Discussion