Timeline for Which higher-order terms require 4th-order integration of quadratically-constrained dynamics?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 25 at 18:50 | vote | accept | Not a chance | ||
| Jun 23 at 17:11 | comment | added | LPZ | Glad it helped. Yes, this generalises to any holonomic constraint. The trick is that the force is along the normal of the surface at position $\vec r_n$ with the leapfrog velocity times surrounding it $v_{n-1/2},v_{n+1/2}$. For the discrete least action, I first read about it in Lie group Integrators by Keenan Crane. | |
| Jun 23 at 15:53 | comment | added | Not a chance | interesting! thanks. Do you have any reference for the discrete least action principal and its variation I can read up on? How would this work for e.g. a constraint function that was for an ellipsoid rather than the sphere? | |
| Jun 23 at 10:47 | history | answered | LPZ | CC BY-SA 4.0 |