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Space-Time Problem + Solution!

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Author: Scientific Accuracy

Group: Default

Filesize: 0.8 MB

Date added: 2017-09-29

Rating: 5.1

Downloads: 1392

Views: 245

Comments: 17

Ratings: 3

Times favored: 0

Made with: Algodoo v2.1.0

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This is the solution for the chaotic n-body problem in astro-physics!


A stable figure-8 orbit that lasts for eternity!

Just press 'Play' and watch!


If you have a question - I'll try to answer it!:)


For further informations:

https://en.wikipedia.org/wiki/N-body_problem
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Is there a limit to how much mass/weight/energy an object can have? I've been wondering that for some time.
if there isn't than can an object have infinite mass/weight/energy and if this is yes than what would happen? :)
Even Black Holes (the most massive objects in Space) can gain mass and grow due to feeding upon other Masses (Gas, Planets, Stars - even other Black Holes etc.) - There is no known limit in Mass!

The same way with Energy!
What would happen with a Black Hole Singularity if its Mass and Energy are infinite?

I would say, that is the formula for another Big Bang in the Multiverse-Dimension!;)
How did you determine the initial conditions?
Thanks S.A. (Scientific Accuracy)!:)
Also, that does make sense, whatever the big bang came from would need an incredible mass to (somehow) produce enough energy to make an entire universe. Could a huge antimatter/matter fusion create enough energy to "force" a universe into existince?
I dont think so, but nobody really knows it, because nobody knows how even our own Universe (the Big Bang) really ignited!
Very cool. Nice to see some people still using Aldogoo
In the description you mention "If you have a question - I'll try to answer it!". I asked a question about a month ago and I don't see any reply.
@ s_noonan

To cut a long story short:
It is a little too complicated to explain it here because it cannot be described with words, only with mathematical formulae!

By the way: there is NO script at all!
Last edited at 2017/10/30 22:27:06 by Scientific Accuracy
Did you solve the equilibrium equation yourself or did you find the answer somewhere else?
Okay I try to explain it in words:

You have to think a little bit "relativistic" - the left and the right body have the same velocity and same direction vector -> they start as "twins" in relative rest - follow just these two with the camera (unfollow the red one) and you'll see it, only the gravity turns their relative rest into an "unrest" very quickly.

Again:

1. It has to start by 2 relatively motionless bodies with equal masses and ANY attraction force > zero.

2. The 3rd body (equal mass and attraction as the other 2!) start location has to be exactly in the middle between the "twins" - this is also the center of mass of the 3-body system!

3. How to direct the vel.-vector of the 3rd body: connect the outer twins with a thought straight line - the velocity vector of the 3rd body has to be in an angle of 57° in respect of that line! (it is mirror-compliant or "mirrorable"!)

4. The unknown variable is the start velocity of the 3rd body (depending on the gravity force of the bodies!) And here you need to do the maths!
@s_noonan Do you have any more questions?:) (or anyone else?)
Regarding #1, "2 relatively motionless bodies", the two bodies in your scene have initial velocities, so I don't see how they are starting as "relatively motionless".
Okay that's a good point, but think about "relatively in rest"! They have the same speed&angle (only at t=0) - that means the same velocity-vector - it means you can cancel that out if the point of view would be the center of mass between these 2!

The 3rd in the middle has twice the velocity in the 180° inverted direction (absolute, not relative) - that means all 3 bodies together have a center of mass (barycenter) that is on coordinates x=0 y=0 and it is not moving away (relative & absolute)

At the beginning I really had the 2 outer bodies not just in relative rest, but even in absolute! But the clue was, that through the momentum of the 3rd, the barycenter drifted away.

For "glueing" the barycenter to fixed coordinates, i had to "move" the 2 outers, too!

Do you understand what I tried to explain you? (I'm sorry for my bad English!) =D
Last edited at 2017/11/03 07:01:55 by Scientific Accuracy
Q: Do you understand what I tried to explain you?
A: Yes, I think so, but it seems to me you are describing some of the characteristics of the initial conditions and not describing any way to determine the initial conditions.

As far as I can tell, you have written long responses, but haven't answered either of my original questions:

1. How did you determine the initial conditions?
2. Did you solve the equilibrium equation yourself or did you find the answer somewhere else?

I'm guessing that, unless your name is Cristopher David Moore, you probably did not calculate the initial conditions and found the answer somewhere else.