H Adam,
Hopefully the link that Rob kindly forwarded to the online calculator will help.
The transformations required are complex and beyond what the vast majority of
people could do in the head. Even with the benefit of a note pad, pen and non-programmable
pocket calculator, the steps involved would still be tedious by 21st Century standards, though it was
not that long ago that people had to perform them using much less.
So, to convert from one epoch to another, those online calculators are
all you need to know if the ends justifies the means.
But for the curious, here is some additional background.
Quote:
Originally Posted by kitsuna
I'm vaguely aware that the difference between epochs occurs due to the movement of the earth and the difference between where the first point of Aries was in 1950 as apposed to 2000. 
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It is for the large part, but by way of background, it is a little bit more complicated
than that.
The two Epochs are B1950.0 and J2000.0.
The 'B' and 'J' prefixes are also important.
The 'B' stands for Besselian, named after Wilhelm Bessel, and the "Besselian epochs"
such as B1950.0 were based on the tropical year (i.e. a solar year) in 1900,
the reference being when the Sun's longitude was 280 degrees toward the
beginning of the year. The 'J' stands for Julian and such epochs are based on a year
being exactly 365.25 days long.
An additional subtlety is the fact that the J2000.0 system uses a revised
reference frame, known as FK5, which in 1974 replaced the previous system known
as FK4. For example, FK5 takes into account the orbital motion of stars around the
Galactic center - a very tiny difference - but nevertheless arose as knowledge
of the Galaxy grew.
As a footnote, the FK systems, which stood for Fundamental Katalog, grew in a
large part out of the efforts of two astronomers who's names also end in F and K,
namely Fricke and Kopff.
On a personal note, I am distantly related to August Kopff, who passed away in 1960.
When we developed Argo Navis, I found myself at one point in the UNSW library having
to read some of the introductory sections in FK4 and FK5. It is not light reading.
We only wish we could have had August Kopff available as a consultant!
Best Regards
Gary Kopff
Managing Director
Wildcard Innovations Pty. Ltd.
20 Kilmory Place
Mount Kuring-Gai NSW 2080
Australia
Phone +61-2-9457-9049
Fax +61-2-9457-9593
sales@wildcard-innovations.com.au
http://www.wildcard-innovations.com.au