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Three Body Problem
The Three Body Problem is a four hundred year old problem of mathematics which has its roots in the unsuccessful attempts to simulate a heliocentric Sun-Earth-Moon system.
Due to the nature of gravity, a three body system inherently prefers to be a two body orbit and will attempt to kick out the smallest body from the system—often causing the system to be destroyed altogether.[1] There are a limited range of scenarios in which three body orbits may exist.[2] It is seen that those configurations require at least two of the three bodies to be of the same mass, can only exist with specific magnitudes in specific, sensitive, and highly symmetrical configurations, and exhibit odd loopy orbits that look quite different than the systems of astronomy proposed by Copernicus. The slightest imperfection, such as with bodies of different masses, non-symmetrical spacing, or the effect of a gravitational influence external to the system, causes a chain reaction of random chaos which compels the entire system to fall apart.[3]
A typical response to this is to claim that there are numerical solutions. However, these are approximations which do not fully simulate the situation. See the page Numerical Solutions. We are taught that it should be possible for a star to have a planet which has a moon, yet the greatest mathematicians of human history have been unable to get it to work.
“ Describing the motion of any planetary system (including purely imaginary ones that exist only on paper) is the subject of a branch of mathematics called celestial mechanics. Its problems are extremely difficult and have eluded the greatest mathematicians in history. ”
The Three Body Problem is a four hundred year old problem of mathematics which has its roots in the unsuccessful attempts to simulate a heliocentric Sun-Earth-Moon system.
Due to the nature of gravity, a three body system inherently prefers to be a two body orbit and will attempt to kick out the smallest body from the system—often causing the system to be destroyed altogether.[1] There are a limited range of scenarios in which three body orbits may exist.[2] It is seen that those configurations require at least two of the three bodies to be of the same mass, can only exist with specific magnitudes in specific, sensitive, and highly symmetrical configurations, and exhibit odd loopy orbits that look quite different than the systems of astronomy proposed by Copernicus. The slightest imperfection, such as with bodies of different masses, non-symmetrical spacing, or the effect of a gravitational influence external to the system, causes a chain reaction of random chaos which compels the entire system to fall apart.[3]
A typical response to this is to claim that there are numerical solutions. However, these are approximations which do not fully simulate the situation. See the page Numerical Solutions. We are taught that it should be possible for a star to have a planet which has a moon, yet the greatest mathematicians of human history have been unable to get it to work.
“ Describing the motion of any planetary system (including purely imaginary ones that exist only on paper) is the subject of a branch of mathematics called celestial mechanics. Its problems are extremely difficult and have eluded the greatest mathematicians in history. ”