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**Position-position-velocity space** (**P-P-V Space** or just **PPV**)
is a conceptual space where two dimensions are the normal
"space" dimensions and the third dimension is the velocity component
in the direction of what would normally be the third spatial dimension.
The concept is an organizing principle of 3D sets of
data (3D matrices, or data cubes)
where across two dimensions, the data applies to the two physical
dimensions across the sky, and the third dimension applies to the
radial velocity component of the movement of material seen along
that line of sight. E.g., if along a line-of-sight, there
is some material moving at 1 km/sec away from the viewer and apparently
even more material moving 2 km/sec toward the viewer, then in that
column within the cube, there would be two data points,
with differing values in the V dimension,
corresponding to those two radial velocities.
This format is now common for astronomical data,
e.g., for molecular clouds that include star-forming regions,
in which internal structure is of high interest.

This is in contrast to "ordinary"
**position-position-position space** (**P-P-P space** or **PPP**)
which is valuable when it can be determined.
The motivation for PPV space is: it represents the data that can be observed,
the two spatial dimensions (e.g., based on astrometry) and the third,
radial velocity dimension from spectrography (or the
equivalent radio astronomy observations). Naturally it would
be nice to have six dimensions, but the other positional and
velocity dimensions can only be determined through less-reliable analysis,
and PPV represents a less-interpreted, more reliable format.
The more straight-forward analysis required to produce PPV data is
identification of Doppler shifted spectral lines, so as to
detect the presence of gas moving at a given radial velocity.
The radial velocity offers clues to the third positional dimension,
e.g., to distinguish between two clouds lined up with us (one
close than the other) that are moving at different velocities.

PPV data is the natural result of an imaging spectrometer,
or the equivalent radio observations.
**Position-velocity space** (**P-V space**) similarly describes
data resulting from similar analysis of a slit spectrograph,
and **position-position space** (**P-P space**) represents just a
normal image of the sky.

http://astrostatistics.psu.edu/su11scma5/lectures/Rosolowsky_scmav.pdf

https://ui.adsabs.harvard.edu/abs/2013ApJ...777..173B/abstract

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