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correct map tracking symplectic note (#1136)
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mattsignorelli authored Aug 13, 2024
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In terms of speed, using maps will be the fastest, using standard Bmad tracking will be much
slower, and using PTC element-by-element tracking will be slowest.

In terms of symplecticity, both the PTC tracking and map tracking will be symplectic.
Bmad is not symplectic but the deviation from symplecticity is generally fairly small. If the
radiation effects are large enough, the radiative stochastic noise will negate any non-symplectic
effects and standard Bmad tracking can be used. A very rough rule of thumb is that if the damping times
or the number of turns tracked are under 100,000 turns then Bmad standard tracking can be used.
In terms of symplecticity, PTC tracking is symplectic, and map tracking is symplectic if
\vn{ltt%symplectic_map_tracking} is set to True. Bmad tracking is not symplectic but the deviation from
symplecticity is generally fairly small. If the radiation effects are large enough, the radiative
stochastic noise will negate any non-symplectic effects and standard Bmad tracking can be used.
A very rough rule of thumb is that if the damping times or the number of turns tracked are under
100,000 turns then Bmad standard tracking can be used.

PTC element-by-element tracking cannot be done when using the MPI version of the \ltt program.

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