In very general terms, a coordinate system is a set of arcs xi = xi (t) in a complex Lie group; see Lev Semenovich Pontri͡agin (1986). L.S. Pontryagin: Selected Works Vol. 2: Topological Groups (3rd изд.). Gordon and Breach. стр. 429. ISBN2-88124-133-6.. Less abstractly, a coordinate system in a space of n-dimensions is defined in terms of a basis set of vectors {e1, e2,… en}; see Edoardo Sernesi; J. Montaldi (1993). Linear Algebra: A Geometric Approach. CRC Press. стр. 95. ISBN0-412-40680-2. As such, the coordinate system is a mathematical construct, a language, that may be related to motion, but has no necessary connection to motion.
Donald T Greenwood (1997). Classical dynamics (Reprint of 1977 edition by Prentice-Hall изд.). Courier Dover Publications. стр. 313. ISBN0-486-69690-1.