Comments about "Nbody problem" in Wikipedia
This document contains comments about the article Nbody problem in Wikipedia
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Contents
Reflection
Introduction
The article starts with the following sentence.

In physics, the nbody problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally.
In physics, the nbody problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other and using Newton's Law.




The nbody problem in general relativity is considerably more difficult to solve due to additional factors like time and space distortions.

The nbody problem solution using general relativity is considerably more difficult because the solution is more acurate compared with the solution using Newton's Law.








1. History










2. General formulation










3. Special cases










3.1 Twobody problem










3.2 Threebody problem










3.3 Fourbody problem










3.4 Planetary problem










3.5 Central configurations










3.6 nbody choreography










4. Analytic approaches










4.1 Power series solution










4.2 A generalized Sundman global solution










4.3 Singularities of the nbody problem

There can be two types of singularities of the nbody problem:

collisions of two or more bodies, but for which q(t) (the bodies' positions) remains finite. (In this mathematical sense, a "collision" means that two pointlike bodies have identical positions in space.)

The problem is that in real live there can be collisions between two objects, but there never happens something which mathematical is called a singularity. The reason is that objects always have a size. That means the pointlike bodies can never have identical positions.
To bypass this situation, certain steps have to be taken before this situation happens to reduce the problem from a nbody problem to a n1body problem, to merge two objects.








5. Simulation










5.1 Few bodies










5.2 Many bodies










5.3 Strong gravitation










6. Other nbody problems










7. See also
Following is a list with "Comments in Wikipedia" about related subjects
Reflection 1 Comparing Newton's Law with Einstein's Law.
The Nbody problem tries to solve or predict the future or positions of a set of masses or pointsize objects.
In general there are two theories to use: Newton's Law or Einstein's Law.
Reflection 2
Reflection 3
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Created: 31 July 2021
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