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This is one of the first problems that brought my attention to chaotic systems. It was interesting to me that analytical solutions had only been found for specific configurations of initial data: I wanted to know if there was a way to visualize the system for different initial conditions and check for predictability without having to solve for the system of differential equations. Therefore, I made a 3D visualization for an arbitrary number of bodies with an arbitrary set of initial conditions.
This set of initial conditions is emulating a 'solar system': since one of the bodies has a much higher mass, the system does not appear to behave chaotically. This simulation is also intended for testing the functionality of the code: since energy is not preserved in this system (symplectic integrators need to be used for energy to be preserved), it should act as expected for the most simple, intuitive scenarios.
This set of initial conditions is emulating a 'solar system': since one of the bodies has a much higher mass, the system does not appear to behave chaotically. This simulation is also intended for testing the functionality of the code: since energy is not preserved in this system (symplectic integrators need to be used for energy to be preserved), it should act as expected for the most simple, intuitive scenarios.
many_body_v1.movThis set of initial conditions is set to be random (both coordinate-wise and mass-wise). There are 10 bodies involved interacting between each other, so the behavior is clearly chaotic. Non-random initial data can be set in the source file (to understand the long term behavior of different configurations), but it has to be set manually for each body.
This set of initial conditions is set to be random (both coordinate-wise and mass-wise). There are 10 bodies involved interacting between each other, so the behavior is clearly chaotic. Non-random initial data can be set in the source file (to understand the long term behavior of different configurations), but it has to be set manually for each body.
many_body_v2.movPage updated
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