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Co-orbitals - Coggle Diagram
Co-orbitals
Tadpoles
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limits are calculated using the jacobi constant, at l4 or l5
Width calculated using H at the extent of the libration, e.g. H = +-1
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Jupiter leading are greeks, trailing are trojans
Horseshoes
when orbit displaced from L4 or L5 more, will encompass both equilibrium points
Once transition happens, the asymmetry in da will be gone within a couple of cycles
close approaches of the asteroid to the planet will cause large, brief changes in the eccentricity
horseshoe orbits in the small mu2 case are highly stable, and more symmetric
General
The Jacobi integral/constant/integral of of relative energy, is a constant of motion
Not an energy integral, energy and angular momentum are not conserved
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Tisserand Relation
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Used to determine whether a new object is a previously discovered one with elements altered by a close approach
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