Guiding Center 4d Barely Trapped with Symmetric SRK3 VPRK Method and Projections

The time step and number of time steps are those of this orbit, set in src/guiding-center-4d.jl; the toroidal momentum is shown alongside the energy, as the second invariant of the guiding centre dynamics.

SymplecticSRK3

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Guiding Center 4d Barely Trapped

SymplecticSRK3 with standard projection

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Guiding Center 4d Barely Trapped

SymplecticSRK3 with symmetric projection

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Guiding Center 4d Barely Trapped

SymplecticSRK3 with symplectic projection

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Guiding Center 4d Barely Trapped

SymplecticSRK3 with midpoint projection

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Guiding Center 4d Barely Trapped

SymplecticSRK3 with internal stage projection

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Simulation crashed after 0 of 12500 time steps: MethodError.