Here is some information from the Joda-TIme FAQ.

SEE  http://joda-time.sourceforge.net/faq.html#range

Precision is milliseconds represented in a Java Long Integer.
Date Range is roughly +/- 292 million years.

This helps resolve some of my issues.

I'm not sure how leap-seconds are handled with Joda-Time.

Leap-Second Recommendation

The recommendation from the atomic time community is that computer
systems implement a leap-second incrementally to accommodate a gradual
change over a period of 100 seconds.  This maintains consistency in
applications that interface with timestamped databases without need
to implement a discontinuity.

Sincerely,
Steven J. Hathaway


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