How to convert Ecliptic co-ordinates to Galactic? The wikipedia article on Celestial Coordinate systems contains various conversions, but this one is currently absent.
For a more specific example: I would like to convert Proper motion in ecliptic latitude and longitude from the ATNF catalog into proper motion in galactic coordinates. Using the following notation from the catalog documentation:
PMElong: Proper motion in the ecliptic longitude direction (mas/yr) PMElat: Proper motion in ecliptic latitude (mas/yr) ... ZZ: Distance from the Galactic plane, based on Dist XX: X-Distance in X-Y-Z Galactic coordinate system (kpc) YY: Y-Distance in X-Y-Z Galactic coordinate system (kpc)
How would I calculate the following (my own addition) from
PMZZ: Proper motion perpendicular to Galactic plane PMXX: X-direction proper motion in X-Y-Z Galactic coordinate system (kpc/yr) PMYY: Y-direction proper motion in X-Y-Z Galactic coordinate system (kpc/yr)