probably faulty but running at least
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# N-Body project - Checklist
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### Task 1
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- [ ] Compute characteristic quantities/scales
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- [x] Compute characteristic quantities/scales
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- [x] Compare analytical model and particle density distribution
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- [ ] Compute forces through nbody simulation
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- [x] Compute forces through nbody simulation
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- [x] vary softening length and compare results
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- [x] compare with the analytical expectation from Newtons 2nd law
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- [ ] compute the relaxation time
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- [x] compute the relaxation time
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### Task 2 (particle mesh)
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- [ ] Choose reasonable units
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- [ ] Implement force computation on mesh
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- [ ] Find optimal mesh size
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- [ ] Compare with direct nbody simulation
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- [~x] Implement force computation on mesh
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- [x] Find optimal mesh size
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- [x] Compare with direct nbody simulation
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- [ ] Time integration for direct method AND mesh method
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