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devel / comp.lang.fortran / Re: N-body simulation

SubjectAuthor
* Re: N-body simulationGiorgio Pastore
`* Re: N-body simulationL
 +- Re: N-body simulationbaf
 +- Re: N-body simulationThomas Koenig
 `- Re: N-body simulationGiorgio Pastore

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Re: N-body simulation

<klurgqFhbgnU1@mid.individual.net>

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From: pastgio@units.it (Giorgio Pastore)
Newsgroups: comp.lang.fortran
Subject: Re: N-body simulation
Date: Thu, 7 Sep 2023 22:52:42 +0200
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 by: Giorgio Pastore - Thu, 7 Sep 2023 20:52 UTC

Il 07/09/23 22:10, L ha scritto:
> Does anyone know a good graphics program that would be able to plot N-body interactions? I know of gnu plot but I don't see any examples of what I'm looking for.

What does it mean "to plot N-body interactions"?

Re: N-body simulation

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Subject: Re: N-body simulation
From: lemmiegabe@gmail.com (L)
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 by: L - Fri, 8 Sep 2023 16:08 UTC

On Thursday, September 7, 2023 at 4:52:48 PM UTC-4, Giorgio Pastore wrote:
> Il 07/09/23 22:10, L ha scritto:
> > Does anyone know a good graphics program that would be able to plot N-body interactions? I know of gnu plot but I don't see any examples of what I'm looking for.
> What does it mean "to plot N-body interactions"?
To have N body interactions in this case means to have a 1/x potential. You can also prove this if your potential is x^2 where your eq of motion looks like a = -Kx. a is acceleration, K is a constant and x is position. In this case, I mean plot about 10,000 stars on screen. N just a large number of interactions.

Re: N-body simulation

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From: baf@nowhere.com (baf)
Newsgroups: comp.lang.fortran
Subject: Re: N-body simulation
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 by: baf - Fri, 8 Sep 2023 19:54 UTC

On 9/8/2023 9:08 AM, L wrote:
> On Thursday, September 7, 2023 at 4:52:48 PM UTC-4, Giorgio Pastore wrote:
>> Il 07/09/23 22:10, L ha scritto:
>>> Does anyone know a good graphics program that would be able to plot N-body interactions? I know of gnu plot but I don't see any examples of what I'm looking for.
>> What does it mean "to plot N-body interactions"?
> To have N body interactions in this case means to have a 1/x potential. You can also prove this if your potential is x^2 where your eq of motion looks like a = -Kx. a is acceleration, K is a constant and x is position. In this case, I mean plot about 10,000 stars on screen. N just a large number of interactions.

Try dislin (www.dislin.de)

Re: N-body simulation

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From: tkoenig@netcologne.de (Thomas Koenig)
Newsgroups: comp.lang.fortran
Subject: Re: N-body simulation
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 by: Thomas Koenig - Fri, 8 Sep 2023 21:31 UTC

L <lemmiegabe@gmail.com> schrieb:
> On Thursday, September 7, 2023 at 4:52:48 PM UTC-4, Giorgio Pastore wrote:
>> Il 07/09/23 22:10, L ha scritto:
>> > Does anyone know a good graphics program that would be able
>> > to plot N-body interactions? I know of gnu plot but I don't see
>> > any examples of what I'm looking for.

>> What does it mean "to plot N-body interactions"?
> To have N body interactions in this case means to have a 1/x
> potential. You can also prove this if your potential is x^2 where
> your eq of motion looks like a = -Kx. a is acceleration, K is a
> constant and x is position. In this case, I mean plot about 10,000
> stars on screen. N just a large number of interactions.

If you just want to plot the positions, that should not be a
problem - just write out the positions into a data file and plot
them (gnuplot can also do 3D, and you can then turn the
plot).

Or what is it that you want, exactly?

Re: N-body simulation

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From: pastgio@units.it (Giorgio Pastore)
Newsgroups: comp.lang.fortran
Subject: Re: N-body simulation
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 by: Giorgio Pastore - Sat, 9 Sep 2023 17:01 UTC

Il 08/09/23 18:08, L ha scritto:
> On Thursday, September 7, 2023 at 4:52:48 PM UTC-4, Giorgio Pastore wrote:
>> Il 07/09/23 22:10, L ha scritto:
>>> Does anyone know a good graphics program that would be able to plot N-body interactions? I know of gnu plot but I don't see any examples of what I'm looking for.
>> What does it mean "to plot N-body interactions"?
> To have N body interactions in this case means to have a 1/x potential. You can also prove this if your potential is x^2 where your eq of motion looks like a = -Kx. a is acceleration, K is a constant and x is position. In this case, I mean plot about 10,000 stars on screen. N just a large number of interactions.

The examples you are citing correspond to what, as a physicist, I would
call "interaction between N bodies through pair-wise potntials". A true
N-bodi interaction is a function U(i_1,r_2,r_3,...,r_N) not reducible to
a sum of few-body contributions.

Nevertheless, even if you are dealing with an interacion energy of the form
U = (1/2) sum_{i/=j} u(|r_i-r_j|)

as far as I can understand you are not interested in plotting the
interaction but the positions of the N bodies. Isn't it?

In such a case, I would suggest using programs designed to plot atomic
positions. For example you may consider using jmol
(https://jmol.sourceforge.net/ ) you can eliminate the bonds and you
remain with a 3D visualization of spheres. One advantage of jmol is that
the .xyz file format is very simple. Moreover it is customizable and one
can even generate animations in a simple way.

Giorgio

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