A library for building differential equations arising from physical problems
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Simulation of gravitationally interacting bodies

In order to create bodies/particles for the problem, one needs to use the MassBody structure and its constructor, which accepts mass, initial coordinates and velocity of the body.

body1 = MassBody(2.0, SVector(0.0, 1.0, 0.0), SVector( 5.775e-6, 0.0, 0.0))
body2 = MassBody(2.0, SVector(0.0,-1.0, 0.0), SVector(-5.775e-6, 0.0, 0.0))

Usually we solve an n-body problem for a certain period of time:

tspan = (0.0, 1111150.0);

Solving gravitational problem one needs to specify the gravitational constant G.

G = 6.673e-11

In fact, now we have enough parameters to create an NBodyGravProblem object:

problem = NBodyGravProblem([body1,body2], G, tspan)

Solution to the problem might be evaluated using the standard solve function:

solution = solve(problem, Tsit5());

And, finally, we plot our solution showing two equal bodies rotating on the same orbit:


Here should appear a gif of rotating bodies