- #1
parkner
- 15
- 0
I need to compute numericaly n-body sys. interacting acording to the Weber force:
http://en.wikipedia.org/wiki/Weber_electrodynamics
and I have a problem with the acceleration on rhs: r'', because the acceleration is unknown, due to the Newton law: F = ma, and we need just 'a' to do next step of integration.
For the standard Newton/Coulomb force there is no problem:
F = k/r^2 r^0; so, we can directly compute: a = F/m = ...
but if a force F depends on r'', this is impossible, because:
r'' = |a| + v_t^2/r, where: v_t is a tangential speed (velocity vector: r' = v = v_r + v_t).
Is it solvable the Weber force - usable in some way?
http://en.wikipedia.org/wiki/Weber_electrodynamics
and I have a problem with the acceleration on rhs: r'', because the acceleration is unknown, due to the Newton law: F = ma, and we need just 'a' to do next step of integration.
For the standard Newton/Coulomb force there is no problem:
F = k/r^2 r^0; so, we can directly compute: a = F/m = ...
but if a force F depends on r'', this is impossible, because:
r'' = |a| + v_t^2/r, where: v_t is a tangential speed (velocity vector: r' = v = v_r + v_t).
Is it solvable the Weber force - usable in some way?