N-Body Problem Simulation, 96 Masses, Random Start | Gravity | Physics Simulations

A simulation of the n-body problem with 96 masses. The initial positions of the masses are random within a circle of a certain radius. The initial velocities of the masses are random, with a slight net angular momentum given to the system. The forces between the masses are proportional to (1/r²)(2/(1 + e^(-3 * (r/20)^(4))) - 1) (a smoothed 1/r² function).

- all masses equal
- random start
- chaos / chaotic motion
- velocities and positions calculated using Runge-Kutta methods
- 25fps, 90s
- programmed in C#

#Physics #PhysicsSimulations #ThreeBodyProblem #Gravity

[aayushkothekar]

This is a very good depiction of what the newly formed solar system looked like. Hundreds of protoplanets orbiting a star. It could have been more realistic if the planets were able to collide and merge

[ksp-crafter]

Now try to find a stable periodic choreography for 96 bodies! 😉😁😂

[davidt]

The deviation from initial center of mass (supposed to be standstill) shows the limitations of this calculus (accumulation of tiny errors becoming huge).

[Vladi_mir_M]

Nice! Why only 1:30 min, pls do a 10 hours video

[WestOfEarth]

Without collision, this resembles proposed dark matter particles like axions. It appears to model the clustering seen with dark matter.

[aSpyIntheHaus]

That was glorious!! Now do it for an hour. 😁
Even better can you just live stream one of these sims all day?

[samuels]

I've been trying to make a rough simulation of the gravity of a singularity but there's been this issue where an object would approach the center and get pinged very far away or even out of bounds.

[VeteranVandal]

Huh, it did form a cluster. Are those clusters long term features, tho?

[jonathanbaincosmologyvideo]

Nothing like a solar system will form here.
I been running sims like this for 15 years.
The only way it can form is when one of a binary pair of stars goes nova.
Then the solar system forms in just a few thousand years.
(Detail in comment below:)

[cipherxen]

How it can be a simulation without collision?