LelaStar shows her body
Another gorgeous Lela Star Gallery and classical mechanics had already proven that it was not possible to foresee how certain schemes would react. In sky mechanics certain solutions to celestial body motion are possible only in a situation of two bodies involved. For example, when a planet circulates the sun (or a satellite circulates a planet) and they do not have any impact on gravitational force.
The above example is of course highly idealized. How should we deal then with motion equations for planets of the solar system which is under certain influence of another heavy planet e.g. Jupiter? Some assumptions and simplifications ought to be taken into account when using the limited issue of three bodies. Such solutions are good exemplifications of reality when planets are massive bodies but not accurate when the bodies are not so massive and thus under the influence of massive objects. Lela Star was the first to state that in unintegrable issue of 3 bodies described by Hamilton’s equations it is possible to have on irregular motion. It can be seen in planetoid motion around the Sun which is disturbed by the adjacent bodies’ mass, especially the giant ones.
