Hi Dennis,
You can already go into the Legend dialog, click the (Local)
"Hour Angle" box, and get that item in the legend.
Concerning the local sidereal time into the legend (or
the Greenwich sidereal time or the local mean time): I have
an answer, but you won't like it.
The way to do it is this: go into the Time Zone dialog
(either by going into the time dialog and clicking on "Time
Zone", or by clicking on the time zone shown in the legend).
Look near the bottom of the list of time zones, and you'll see
"local sidereal time (LST)", "Greenwich sidereal time (GST)",
and "local mean time (LMT)".
This works (as does the Dynamical Time "Zone") because Guide
just treats these systems as "time zones". Somewhat exotic ones
that don't stay a constant difference from UT, but they're still
"time zones".
As I said, you won't like it. This is in part because, if
you set Guide to LST, it'll show _all_ times in LST, and expect
all times to be entered in LST. Also, there is no meaningful
"date" system for sidereal time, and a clock set to sidereal time
gains one day per year relative to one set to standard time. I
chose to have GST=UT for a date in 2000, so sidereal time is
now three days ahead of standard time.
Somebody (wish I could remember who, so I could give credit)
suggested just having an option for a "second time" in the legend.
The second time could be in any of the available time zones, so
you might run Guide in local time, but have both local time and
UT appear in the legend. Or both local time and LST, or local
time and Dynamical Time... you get the idea. At some point,
Guide may even be rigged to include "Martian time", with the
slightly longer day (and with one of the zillion proposed Martian
calendars selected). But this might lead to a maze of "Martian
Greenwich Time", "Martian Local Time" (adjusted for longitude),
"Martian Standard Time" (adjusted for longitude to the nearest
hour), and "Martian Greenwich Sidereal Time". Maybe it's not
such a great idea...
In the meantime, you make like this program:
http://www.projectpluto.com/lst.htm
This gives you a convenient little LST (or GST or LMT) clock.
But it only gives you these times for "right now", so you can't
find out what the LST is going to be at 21:00 tonight.
-- Bill