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# N-Body project - Checklist
### Task 1
- [ ] Compute characteristic quantities/scales
- [x] Compare analytical model and particle density distribution
- [ ] Compute forces through nbody simulation
- [x] vary softening length and compare results
- [x] compare with the analytical expectation from Newtons 2nd law
- [ ] compute the relaxation time
### Task 2 (particle mesh)
- [ ] Choose reasonable units
- [ ] Implement force computation on mesh
- [ ] Find optimal mesh size
- [ ] Compare with direct nbody simulation
- [ ] Time integration for direct method AND mesh method
### Task 2 (tree code)
- [ ] Implement force computation with multipole expansion
- [ ] Find optimal grouping criterion
- [ ] Compare with direct nbody simulation
- [ ] Time integration for direct method AND tree method
### Questions
- Procedure for each time step of a mesh simulation? Potential on mesh -> forces on particles -> update particle positions -> new mesh potential? or skip the creation of particles in each time step?
- How to represent the time evolution of the system?
- plot total energy vs time
- plot particle positions?
- What is the parameter a of the Hernquist model?