Classical Mechanics: Generalize the Equation of Motion Generation Classes

[Arooshi Verma]

Hello,

I read through the earlier work on the Generalization of the Equation of Motion Generation Classes ( https://github.com/sympy/sympy/pull/11431). I understood about the changes made to sympy/physics/mechanics/system. I would like to further work on the same.

I know about the Newton-Euler formulation for rigid bodies and Hamilton-Jacobi equation of a system.

The Langrangian method has already been applied, so one may ask what is the need for the Hamilton-Jacobi equation. While Langrange gives more insight to a system's symmetries, it is less useful than Hamilton when one just wants the time evolution(the Lagrangian is the input to an external principle that may be used to solve for time evolution, whereas the Hamiltonian represents the time evolution dynamics directly).

Can I get some more information about the work to be done? 

Sincerely,

Arooshi Verma

[Raed Serag]

Hello Arooshi,

Thanks for your interest, I’m a student and I’m seeking to join Sympy in GSOC 2019 Internship, So I’m looking for an idea and I have one as you can see, If you have seen the video here you can notice that I have worked in something like what I’m seeking for, and the only Mathematical Basis I have referenced for, Is the “Interpolation” and some basic Linear Algebra.

I wish if it’s clear to you and looking forward to hear from you !

 

Best Regards,

Raaed Serag

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[Arooshi Verma]

Hello, 

I don't really understand how the video is related to the Hamilton or Newton-Euler method? 

Regards, 

Arooshi Verma

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