When we study actions in group theory, we consider sets of the form $$\text{Orb}_G(x)=\{gx\mid g\in G\} $$ that are called orbits. Although, the only reason I find convincing for that name is that in some sense the action of group over a set can be viewed as a dynamical system and thus the name orbit has the usual physical "interpretation" and justification. Is this explanation correct or only a funny coincidence? In the second case, which is the origin of the term?
2026-04-04 05:13:59.1775279639
Why are they called orbits?
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