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0 answers
31 views

Better equations for modeling and simulating a halo orbit?

I'm trying to model a halo orbit at low altitude (10m from surface). The satellite is using propulsion to trace the circular halo path. It looks like this "from the top" (the blue ball is ...
0 votes
0 answers
40 views

Topological illustration of spacetime dilation: which function should I use for isometric lines spacing?

Scientific popularization, when it comes to illustrating spacetime dilation around massive objects, often relies on the description of a two-dimensional square-grid, which can be regarded as a cross-...
15 votes
3 answers
885 views

Are there models/simulations of antigravitational antimatter-galaxies?

In the comments to another question's answer, I started wondering: Assuming antimatter possessed negative gravitational mass§ (which is not proven impossible to date, though deemed unlikely though ...
7 votes
3 answers
2k views

Using 2D position, velocity, and mass to determine the parametric position equations for an orbiting body

I have a gravity-related question. I am programming an orbit simulator. I have everything up and running, but I would like to render the smaller body's orbital path (the larger body is fixed). To do ...
0 votes
0 answers
29 views

How to create a more accurate gravity simulation? [duplicate]

Goal: I am interested creating a simple gravity simulation and was wondering if it was possible to describe two objects motions through time with percision. All other parameters are known (...
0 votes
2 answers
95 views

How to simulate the gravity of a bunch of planets on an object?

I'm trying to simulate an object, like a ship, floating around planets. all i can find about anything like this online is the N-body problem, but I'm not trying to simulate the effects of the planets ...
0 votes
0 answers
60 views

What is the Correction Function in Poisson's Equation for MOND?

I am looking to do a celestial simulation using MOND for the final project of my intermediate mechanics course. From the Wikipedia page, it seems that preserving Newton's Third Law requires deriving a ...
0 votes
1 answer
163 views

Circular velocity vector on the surface of spherical potential (gravity)

So, I would like to integrate paths of particles on circular velocity on the surface of a sphere (due to some potential, i.e. gravity). The problem is to fix the two angular velocities $\dot \theta $ ...
14 votes
2 answers
2k views

$N$-body simulation in General Relativity

How would one perform an $N$-body simulation in General Relativity (GR) for something like galaxy formation or galactic dynamics? Suppose one wants to simulate the rotation curve $v(r)$ for galaxies ...
1 vote
1 answer
555 views

How can the orbital motion of planets around the sun be calculated taking into account the force exerted by other planets?

In The Feynman Lectures on Physics (Vol. 1, Chapter 9), Feynman explained how to calculate the planetary motion by just using the Newton's laws of motion and the Euler's method as a numerical solution ...
1 vote
1 answer
46 views

Triagulations of 4D Euclidean Lattice

I am interested in Euclidean gravity models such as Regge's simplicial gravity model. These models use triangulations of $\mathbb{R}^4$ with periodic boundary conditions. While there are many papers ...
2 votes
2 answers
946 views

How to interpret line of sight velocity distributions and dispersions of a galaxy?

What I did: I am analysing some simulation snapshots of the Milky Way and it is modelled as a DM halo – bulge – disc system. I produced some mean line of sight velocity (LOSV) and dispersion of mean ...
0 votes
1 answer
43 views

Height oscillations in orbit induced from lunar gravity

I am trying to numerically solve the orbit of a space probe around the moon in a non-spherical gravitational field . $ \Large \begin{align} \frac{d^{2} x}{dt^2} = - \frac{G M x}{(x^2 + y^2)^{3/2}} - \...
5 votes
3 answers
837 views

How is relativistic $N$-body simulation possible without knowing the entire histories of each particle?

In $N$-body simulation you need to know the positions of the particles in order to calculate the force between them. The new velocity of each particle can then be calculated given a simulation ...
1 vote
1 answer
113 views

Accounting for expansion in $N$-Body gravitational simulations

I have an $N$-Body simulation for the evolution of the universe. It uses a hybrid Tree Particle-Mesh scheme to compute the forces. The tree code used Newtons law of gravity: $$\textbf{F}_i = -G \sum_{...

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