Here’s an interactive about Electric dance (see this page for further details).

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*How to run a CDF Player simulation
download Electric dance.cdf*

*Notes*

*Notes*

The interactive simulation was created with the software *Wolfram Mathematica and it *reproduces the **dynamics of three charged particles** initially located, at rest, at the vertices of an isosceles triangle.

The demonstration can be interactively used with the free (but hugely sized) CDF Player (see here how to install it).

The *Mathematica* code and the CDF file have been recently approved and published in the Wolfram Demonstration Project.

See also this YouTube video to get a taste of what’s in the interactive simulation.

After being used with the dynamics of the initial setting (equilateral triangle), it may be interesting to check the “*Show full orbit traces*” checkbox and see how the changes the (initial position) affect the shape of the initial isosceles triangle and the ensuing trajectories: from *quasi*-cyclic to *almost*-cyclic to (*apparently*) periodic. The actual existence and stability of **real periodic orbits** is an open problem for me that I intend to investigate.

The change in the parameter has a slow response as it triggers the full recalculation of the numerical solution of the differential equations that are behind the system dynamics.

**Hint:**

hold down the *Alt* key while moving a slider to make fine adjustments in the slider value.

Hold *Ctrl* and/or *Shift* at the same time as *Alt* to make ever finer adjustments.