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Mar
15
awarded  Popular Question
Sep
28
asked Software for simulating the motion of a test particle in a force field
Sep
25
comment Are the field lines the same as the trajectories of a particle with initial velocity zero
Looking up in the Feynman lectures I find (p.4-11): "We draw lines in the direction of the field - lines which are always tangent to the field, as in Fig. 4-12. These are called field lines" That's exactly what I said, isn't it?
Sep
25
awarded  Supporter
Sep
25
comment Are the field lines the same as the trajectories of a particle with initial velocity zero
Can you give a page number and a quote to what you refer to Feynman lectures?
Sep
25
revised Are the field lines the same as the trajectories of a particle with initial velocity zero
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Sep
25
comment Are the field lines the same as the trajectories of a particle with initial velocity zero
Do you have any references or more details how to get this limit. Is this a similar effect, which is responsible for letting going charged cotton wool travel along the field lines as in this animation: leifiphysik.de/web_ph09_g8/grundwissen/01e_feldlinien/…
Sep
25
comment Are the field lines the same as the trajectories of a particle with initial velocity zero
Usually field lines are the lines where $\vec{E}$ is tangent to at each point. So you start from the wrong definition!
Sep
16
awarded  Student
Sep
16
comment Are the field lines the same as the trajectories of a particle with initial velocity zero
Thanks. Do you have a computational counter-example (physical possible field configuration and a solution to the corresponding equations of motions to get an exact counter example)?
Sep
16
awarded  Editor
Sep
16
revised Are the field lines the same as the trajectories of a particle with initial velocity zero
added reference
Sep
16
asked Are the field lines the same as the trajectories of a particle with initial velocity zero