The Kong Egg

Sam Clemens and Sir Winston
Radio 4 announces a new hyperspace bypass

This set of clues is all that is needed for this egg, but it is only half of the date clues, which is troubling.

Sam Clemens and Sir Winston:  Sam Clemens (Mark Twain) and Winston Churchill share a birthday:  November 30.

Radio 4 announces a new hyperspace bypass: The Hitchhiker's Guide to the Galaxy started as a radio program on the BBC (Radio 4).  For the uninitiated, in the series the Earth is destroyed to make room for a new hyperspace bypass.  The series was first aired on March, 8, 1978, at 10:30pm.

In the planetarium, set the month in the star chart viewer to March and the year to 1978 (the day and time can be anything).  Change the month to November and you'll get the egg:

Moving the time slider allows you to interact with the egg.