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The components for proper motion in the equatorial coordinate system (of a given epoch, often J2000.0) are given in the direction of right ascension (μ α) and of declination (μ δ). Their combined value is computed as the total proper motion (μ). [2] [3] It has dimensions of angle per time, typically arcseconds per year or milliarcseconds ...
The transverse, or proper motion must be found by taking a series of positional determinations against more distant objects. Once the distance to a star is determined through astrometric means such as parallax, the space velocity can be computed. [2] This is the star's actual motion relative to the Sun or the local standard of rest (LSR).
There is no specific velocity that is considered high, but the proper motion article notes that the majority of stars have a proper motion of 0.01 arc-seconds per year. Note that the closer a star is to earth, the faster it will appear to travel in arc-seconds per year for a given "real" velocity; therefore, the PM values here are apparent ...
A transition map provides a way of comparing two charts of an atlas. To make this comparison, we consider the composition of one chart with the inverse of the other. This composition is not well-defined unless we restrict both charts to the intersection of their domains of definition. (For example, if we have a chart of Europe and a chart of ...