QUESTION:
Can you leave it overnight?

ANSWER from the script of the 2nd "LIVE" show, "Making your Observations" 
http://passporttoknowledge.com/hst/video/video2s.html

Hubble requires 24-hour a day monitoring by a skilled team of engineers 
at NASA's Goddard Space Flight Center near Greenbelt, Maryland.  

This is STOCC, the Space Telescope Operations Control Center, 
nicknamed the "cockpit", where HST's "Flight Crew" monitors the 
position and attitude of the Space Telescope, the status of data and 
power systems, and myriad details of its science instruments, on-
board computers and mechanical and electrical sub-systems. 

Elsewhere at Goddard, NASCOM -- NASA's Communication Network -- links 
Hubble and other spacecraft such as the Shuttle to more than 2 million 
miles of cable and fiber optic links, in more than 200 locations.

Data from the Hubble is relayed by TDRS ("TeeDris") -- the Tracking 
and Data Relay Satellite -- some 23,000 miles above Earth in "geo-
sync"... down to White Sands, New Mexico... then back up to a domestic 
satellite... and finally back down to Goddard. Commands to Hubble travel 
back along the same pathway.

Incoming data arrives at DOCS, Data Operations Control, a massive 
computer facility located right beneath STOCC. 

Here, science information is separated from engineering data and routed 
to DCF, the Data Capture Facility where error-checking systems verify 
signal quality before it's recorded and relayed on to the Space Telecope 
Science Institute. 

At STScI the signals are checked once more to ensure the observations 
were correctly performed. The raw data is recalibrated to compensate for 
known variations in the instruments. 

Final science data is recorded on optical discs, each the equivalent 
of a dozen CD-ROMs, for archiving and distribution to the astronomers who 
may have first designed the observations years and months before!

There's a duplicate archive in Garching, Germany, at the European 
Coordinating Facility, ECF, which is where our German participants 
in today's broadcast are located. This is part of the European South 
Observatory, ESO. 

Meanwhile, Engineering Support Specialists at Goddard analyze 
records of all spacecraft systems -- they've got data on more than 
7,000 engineering measurements taken every few seconds, 24 hours a day, 
since HST was first launched in 1990! 

This team looked on with special interest as STS-75 launched in February 
1996. They're now getting ready for the Second Servicing Mission, 
sometime in Spring 1997, which will upgrade more of Hubble's systems.