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

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SUMMARY

The forum discussion centers on finding suitable books for understanding many-body Newtonian dynamics, particularly for point masses. Recommended titles include "Fundamentals of Multibody Dynamics: Theory and Applications" by Farid Amirouche (2007) and "Introduction to Many-Body Physics" by Piers Coleman (2015), although the latter focuses on quantum mechanics. Howard Curtis's "Orbital Mechanics for Engineering Students" is suggested for its practical approach, despite its limitation to fewer bodies. The discussion emphasizes a preference for resources that are less analytical and more physical or numerical in nature.

PREREQUISITES
  • Understanding of Newtonian mechanics
  • Familiarity with multibody dynamics concepts
  • Basic knowledge of numerical integration techniques
  • Awareness of classical mechanics applications in physics
NEXT STEPS
  • Research "The Art of Computational Science" for comprehensive documentation on many-body simulations
  • Explore molecular dynamics literature focusing on classical fields and forces
  • Investigate Jun Makino's many-body astronomy simulations for practical applications
  • Study kinetic theory related to Boltzmann and Poisson equations for insights into planetary ring stability
USEFUL FOR

Students and researchers in physics, particularly those focusing on classical mechanics, multibody dynamics, and computational simulations. This discussion is also beneficial for educators seeking accessible resources for teaching these concepts.

feynman1
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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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