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the blue squares to double loops and so on, up to the blue
diamonds, representing nine loops. Higher order looping has been
excluded for the sake of figure clarity -
All cases up to the upper green line marked LE represent
effective trapping within the core, at least up to the 1000s time
period computed. Above the LE line and below the line E there
is a region where the particle completes one loop before being
expelled from the core. There does not appear to be any
condition corresponding to multiple loops, perhaps due to the
increments selected for increases in A0 . An analytical solution
to this problem would certainly aid interpretative diagnosis of
the physical sensitivities, including the limiting conditions at
each end which may tail asymptotically to infinity or simply
terminate on the axis.
3.2 Different values of V & G
The effect on the parameter space of varying V and G are
presented below, followed by correlations of the results in terms
of equations for the bounding lines denoting capture from escape.
The correlations are not physically based on first principles but
they do deliver simplicity for the broader discussion with which
we close this chapter.
a) Varying particle fall speed. Varying V has a marked effect
on the location of the central region as shown in figure 5. Here
G=0.01m/s and the four cases show different V=0.0335, 0.076,
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