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1 vote
2 answers
125 views

Approximate change in position and velocity over timestep with varying acceleration due to gravitational interactions of many bodies

I'm writing a program that models the gravitational interactions of a number of objects. After the number of bodies exceeds two, the motion can no longer be solved analytically, so the behavior of the ...
Adam Kaufman's user avatar
0 votes
1 answer
451 views

Calculating orbital path of a planet around a fixed body in a deterministic way given starting conditions

I am making a simulation of the solar system in the unity game engine. A planet is orbiting a stationary star for now using Newton's law of gravitation where $F = Gm_1m_2/r^2$ for the orbit (force is ...
Tom Benson's user avatar
1 vote
2 answers
115 views

Orbit of Celestial Bodies

To give some insight, I'm creating a simulation, with gravity, planets, forces... And I would like to increase performance, by not doing unnecessary calculations. I could know what calculations, to ...
Álvaro Rodrigo's user avatar
1 vote
2 answers
196 views

How to know when a body completes an orbit?

I'm simulating a solar system, and I would like to know when a body, has completed an orbit around another. Is there any specific formula for it? As shown in the picture, the orbit is elliptical, ...
Álvaro Rodrigo's user avatar
0 votes
2 answers
364 views

Creating a Gravitational 2-body simulation

I am trying to create a simulation for a gravitational 2 body problem. But I am kind of having trouble to define the equations that can be solve numerically. From an inertial frame I defined the ...
seVenVo1d's user avatar
  • 3,122
2 votes
1 answer
147 views

Solar System Position and Velocity data

I'm trying to create an nbody simulator and to test it I'd like some real world data. A good test would be the solar system. I've come across the JPL Horizons software but if cant seem to figure out ...
user7971589's user avatar
3 votes
1 answer
295 views

Gravity assist, Coordinate system transformation

I am currently learning about the physics and the mathmatics behind gravity assist. I have a question regarding the coordinate transformation between the planet frame and the sun frame. I want to ...
user avatar
2 votes
2 answers
1k views

Which timestep should I use for a $N$-body simulation of the Solar system?

I am trying to implement a $N$-body simulation of the Solar system and I am stuck on the issue of the simulation timestep size. At first I would like to use a simple Euler stepping scheme. Knowing ...
BigONotation's user avatar
4 votes
2 answers
84 views

How would I find the velocity of an object after it doesn't fully enter the gravitational pull of a planet and is kind sling shot out of its gravity?

Obviously that question doesn't have a lot of jargon having to do with math and physics. I am not a physicist, I'm not a mathematician, I'm trying to make a game and simulate some physics found in ...
user avatar
2 votes
1 answer
112 views

Can a planet's orbit around a star be simulated? [closed]

Say I know all parameters like density, size, rotational velocity of a planet, could I predict its orbit around a star where I also know parameters of it? I want to design a simple model of the solar ...
gator's user avatar
  • 239
1 vote
2 answers
714 views

Maths of elliptical orbits

I have a simulation of the solar system that currently gives me circular orbits. I'm not 100% sure where I've limited my simulation to this, but probably it starts when I use $$v=\frac{2 \pi r}{T}$$ ...
user13948's user avatar
  • 979
1 vote
1 answer
475 views

Units in gravitational N-body simulations

I use a code in Python to simulate a binary system interacting through gravity. You can find it here; The code works fine. I am however having problems with the units of length and velocity. I ...
linde's user avatar
  • 11
1 vote
1 answer
132 views

Create a star system fit to conic equation

For simulation purposes, I'm trying to create a binary star system. If I have a conic equation such as $ax^2 + by^2 = c$, and the masses of two stars, how would I find the $x$- and $y$- velocity ...
Steven Morad's user avatar
0 votes
2 answers
65 views

Why turning velocity of star towards point "A" makes it's satelites, change their apoapsis to side opposite of velocity vector?

Why turning velocity of star towards point "A" makes it's satelites, change their apoapsis to side opposite of velocity vector? Sentence above turned a bit crazy or not understandable (possible ...
Rik Telner's user avatar