Phase Space Structures In The 'Helium Atom'
Check out the Stable Manifold of The DEP for Helium Atom, PSOS.py was used to help create it https://youtu.be/lIJapem30_s
These two gifs of a gravity based 4 body system, with a comet flying in.
The camera centered at the center of mass of the system
The camera centered on the comet
4-body
8-body
8-body
There is also a simple 2-body system which is periodic.
Here are two electrons orbiting a nucleus. This is done by using ipyvolume.
By calculating the Lagrangian then the Hamiltonian, we get a system of ODEs which can be simulated, by using alpha = pi/4, q_R = 3, q_theta = 0, p_R = 0, p_theta=5. By using n_Body_Simulation we get.