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

Click For Summary

Discussion Overview

The discussion revolves around finding suitable books on many-body Newtonian dynamics, specifically focusing on point masses. Participants explore various resources and express preferences for less analytical and more physical or numerical approaches to the topic.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests recommendations for books on many-body Newtonian dynamics.
  • Several titles are suggested, including "Fundamentals of Multibody Dynamics: Theory and Applications" by Farid Amirouche and "Introduction to Many-Body Physics" by Piers Coleman, with notes on their content focus.
  • Another participant emphasizes a preference for books that are less analytical and more physical or numerical in nature.
  • One participant mentions that many-body classical mechanics can be approached through rigorous mathematical theorems or numerical integration, suggesting a middle ground may not exist.
  • A suggestion is made for "Howard Curtis's Orbital Mechanics for Engineering Students," though it is noted that it may not cover many-body results extensively.
  • Another participant points to the molecular dynamics literature as a potential resource, indicating that it often employs classical fields and forces.
  • Further suggestions include looking into Jun Makino's many-body astronomy simulations and related computational science resources.
  • A participant recalls encountering papers on n-body simulations and kinetic theory in the context of planetary rings, suggesting this could be another area to explore.

Areas of Agreement / Disagreement

Participants express varying preferences for the type of resources they seek, with some favoring less analytical approaches while others suggest more technical texts. No consensus is reached on a specific book or resource that meets all preferences.

Contextual Notes

Participants highlight the challenge of finding resources that balance analytical rigor with physical or numerical approaches, indicating a potential gap in available literature.

feynman1
Messages
435
Reaction score
29
Any book on many body Newtonian dynamics?
 
Physics news on Phys.org
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.
 
  • Like
Likes   Reactions: vanhees71
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?
 
  • Like
Likes   Reactions: vanhees71 and feynman1
  • #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.
 
Last edited:
  • Like
Likes   Reactions: vanhees71 and feynman1
  • #12
  • Like
Likes   Reactions: jasonRF, feynman1 and vanhees71
  • #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
 
  • Like
Likes   Reactions: vanhees71 and feynman1

Similar threads

  • · Replies 23 ·
Replies
23
Views
6K
  • · Replies 6 ·
Replies
6
Views
639
Replies
2
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 39 ·
2
Replies
39
Views
9K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K