I reproduced what's normally done in Python rather than in a compiled language for transparancy, it would be much faster if included in a reasonable simulator implementation.Īs explained here, to the Newtonian acceleration given by:
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Why do I say this is not very satisfying or helpful?īecause it's quite easy to nearly completely account for General Relativity (GR) effects in the orbits of solar system bodies just by adding some terms to the ODEs that are integrated to propagate orbits.Īnswers to the question How to calculate the planets and moons beyond Newtons's gravitational force? (including mine) show how this is done all the time. You start with some initial data of the shape of your spacetime and then see how it evolves according to the Einstein equations, which are 10 highly non-linear partial differential equations." Instead of simulating N number of bodies, you are simulating a huge number of points. That is, taking your simulation space, discretizing it to a hi-res 3-D grid and checking the effect that each and every point in that grid has on all neighboring points at every timestep. Jenn, astrophysicist and Universe Sandbox² developer, explains more in a blog post: "General relativity requires simulating the spacetime itself. Why? The short answer is that you need a supercomputer to accurately simulate general relativity. No, the physics in Universe Sandbox² is currently only Newtonian. As noted by in this comment, the Universe Sandbox 2 FAQ addresses the question, but not in a satisfying or helpful way:
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