/POEL

Primary LanguageJupyter Notebook

ipynb files

Hamiltonian: plot surface of section from Rath et al. (2022) pendulum model + rescale parameters accordingly
Surface_of_section: use Nbody to plot surface of section and compare it to Rath's model
Test_approximation_secular: calculate the errors in approximated expressions in Yang & Tamayo (2024)
Stability_boundary_secular: maximize and minimize secular oscillations + reproduce Fig. 4.1 in thesis
Stability_boundary_hierarchical: calculate the 2-planet stability boundary according to Hadden & Lithwick (2018) + run MEGNO to visualize the boundary
3BR_width: calculate the widths of 0th-order and 1st-order 3BRs according to Petit et al. (2020) and Petit (2021)
2BR_animation: create animation from Nbody (last block contains solutions to different error codes)
Additional codes related to Yang & Tamayo (2024): https://github.com/EritasY/Chaos.git --> graphs for paper

pdf files

notes: math derivations and testings for Yang & Tamayo (2024) + thesis
thesis: senior thesis