Looking for a book on many body Newtonian dynamics (point masses)

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The discussion centers on finding resources related to many-body Newtonian dynamics, particularly for point masses. Key recommendations include "Fundamentals of Multibody Dynamics: Theory and Applications" by Farid Amirouche, which focuses on rigid bodies, and "Introduction to Many-Body Physics" by Piers Coleman, which incorporates quantum mechanics. Participants express a preference for books that are less analytical and more physical or numerical in nature. Suggestions include Howard Curtis's "Orbital Mechanics for Engineering Students," although it primarily covers results for up to three bodies. The conversation also touches on molecular dynamics literature and n-body simulations, particularly in the context of planetary rings and kinetic theory, highlighting the need for resources that balance theoretical rigor with practical application.
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Any book on many body Newtonian dynamics?
 
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Baluncore said:
https://www.google.com/search?tbm=bks&q=many+body+Newtonian+dynamics
Fundamentals of Multibody Dynamics: Theory and Applications. Farid Amirouche · 2007
Introduction to Many-Body Physics. Piers Coleman · 2015
Introduction to Many-Body Physics. Piers Coleman · 2015 uses quantum.
Fundamentals of Multibody Dynamics: Theory and Applications. Farid Amirouche · 2007 discusses rigid bodies. I actually look for those for point masses.
 
feynman1 said:
Preferably books less mathematical
I knew you will say that. :oldbiggrin:

Many body classical mechanics can be treated either by rigorous mathematical theorems or by numerical integration of the equations of motion. If you want something in between, that might not exist.
 
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Demystifier said:
I knew you will say that. :oldbiggrin:

Many body classical mechanics can be treated either by rigorous mathematical theorems or by numerical integration of the equations of motion. If you want something in between, that might not exist.
I want sth more physical or numerical, but not too analytical.
 
feynman1 said:
I want sth more physical or numerical, but not too analytical.
anyone?
 
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  • #10
pbuk said:
Howard Curtis's Orbital Mechanics for Engineering Students could be what you are looking for.
excellent thanks, though books with results involving many bodies will be better as your one contains results for at most 3
 
  • #11
You might look in the molecular dynamics literature. Most of it uses classical fields/forces.
 
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  • #12
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  • #13
In graduate school I recall coming across papers that used n-body simulations and/or kinetic theory (Boltzmann and Poisson equations) to examine features and stability of planetary rings. So that could be another field to search for information and tools. (edit: perhaps post #12 also covers that field?). At the time I was doing research that involved kinetic theory of plasmas, which uses essentially the same tools but with electromagnetic instead of gravitational forces.

jason
 
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