For further information, contact firstname.lastname@example.org.
The assembled button magnets can now be placed
experimentally in the matrix of platform U to produce
chaotic operation. Note that even symmetrical placements
of the button magnets still produces chaotic behavior due
to the inherent nonlinearities of the magnetic fields
involved. Also, you don’t need many magnets to produce
complex results. To start, try the following placement of
five magnets using the x, y locations as shown in Figure 7,
relative to post I: ( 5, 7), ( 5, 10), ( 9, 5), ( 9, 11), and ( 12, 6).
Research Problem 1. Planetary Orbit Stability In A
Binary Star System. Consider pendulum magnet C as
representing a planet in a binary star system and two
button magnets inserted upside down into the bottom of
platform U as representing two parent stars in slow orbital
motion around each other, and therefore attracting the
planet. Can you nudge the planet into an elliptical or
circular orbit that is stable over several minutes? Question:
Do you think that the orbits of the planets in a binary star
system over very long times are guaranteed to be stable?
Research Problem 2. Static Equilibrium. Using any
number of repelling magnets and with power applied to the
electronics, can you find a button magnet configuration which
will result in the pendulum eventually becoming trapped and
permanently at rest outside of the center of the platform?
Research Problem 3. Periodic Behavior. Using at
least one button magnet, can you find a button
configuration that will result in the pendulum adopting a
constant period of oscillation?
After you try these research problems, come up with
some of your own to test out the theories. It’s a good
thing to bring a little chaos to your life. NV