/Helium_Atom

Phase Space Structures In The 'Helium Atom'

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Helium_Atom

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

Example simulations of n-body problems

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

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The camera centered on the comet

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Spiral

4-body

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8-body

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Circle

8-body

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2-body periodic

There is also a simple 2-body system which is periodic.

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3D Helium Simulation

Here are two electrons orbiting a nucleus. This is done by using ipyvolume.

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What can be done with n_Body_Simulation

Motion In Cone Example

Alt Text 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. Alt Text Alt Text Alt Text