Relativistic speeds turn motion into an inherently many-body problem. But most motions at the human and planetary scale are not relativistic and therefore not inherently many-body. Solar system motions of macroscopic bodies including the atmosphere and oceans of a planet like the earth are well described nonrelativistically according to the mechanics of Galilean relativity. At the scale of the atom, the orbital speed of an electron is only a small fraction of the speed of light. The states of the hydrogen atom are well predicted by the nonrelativistic laws of quantum motion.
KeywordsChaotic Motion Polar Axis Invariant Curve Invariant Curf Island Chain
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