[net.space] R.A. DETERMINATION PROBLEM

dimario@ihlpg.UUCP (Michael J. DiMario) (08/23/85)

I am looking for a clear explanation of determining the R.A. of an
object given its R.A. at 0h UT for a meridian at a given time. I seem to
have difficulties w/ this in the field. For example, given that Jupiter
is at R.A. 20 53.0 on Aug 16th at 0h UT, what is its R.A. at 88 degrees
W. longitude and 2200 hours CDT locally? Is this the Hour Angle
and if so, how do you use it? Is there anyone that can advise me on this?

Thank you in advance.

					mike dimario ihnp4!ihlpg!dimario
					312/979-5397

anita@utastro.UUCP (Anita Cochran) (08/27/85)

> I am looking for a clear explanation of determining the R.A. of an
> object given its R.A. at 0h UT for a meridian at a given time. I seem to
> have difficulties w/ this in the field. For example, given that Jupiter
> is at R.A. 20 53.0 on Aug 16th at 0h UT, what is its R.A. at 88 degrees
> W. longitude and 2200 hours CDT locally? Is this the Hour Angle
> and if so, how do you use it? Is there anyone that can advise me on this?
> 
> Thank you in advance.
> 
> 					mike dimario ihnp4!ihlpg!dimario
> 					312/979-5397

I think a bit of confusion exists in the questioner's mind.
The right ascension (RA) is based on a celestial globe, i.e. it is
the east-west position of a celestial object, measured eastwards in hours
(1 hour=15 degrees) from the place where the sun crosses the celestial
equator heading north (the vernal equinox).  Thus, except for a planetary
object (which moves relative to the background stars), the RA of an object
does not change with time (well, technically, with a large enough
time it changes due to proper motion, etc).  What I think that
Mike is trying to find out is the hour angle, i.e. how far off the meridian
an object is.  What you really need to know with changing longitude
is the local sidereal time (LST).  The sidereal time is the time
based on one complete rotation of the earth on its axis
with respect to the fixed stars.  The normal (solar) day is the
time it takes the earth to make 1 complete rotation on its axis
with respect to the sun but since we are in orbit around the sun,
this is not the same as the sidereal day (1 sidereal day = 23h 56m).

There is not just one sidereal time since we have broken the earth
into time zones and the sun passes overhead at different times within
1 time zone.  The local sidereal time tells us what RA an object
on the meridian (a line going through the zenith, or overhead point,
down to both the north and south horizons at the same longitude)
has at that moment.  Thus, in Mike's example, Jupiter would be on
the meridian when the LST was 20 53.0.  The hour angle (HA) is then
just the LST-RA.  So if the LST is 18 53.0, Jupiter would have
an HA of -2 hours.  What does this mean?  Well HA is measured with
0 hours on the meridian and negative HA towards the east, positive
towards the west.  Recalling that 1 hour=15 degrees, an HA of
-2 hours means that Jupiter will be 30 degrees east of the meridian.
So knowing the LST and the RA, you know where in the sky to look.
-- 
 Anita Cochran     uucp:  {noao, ut-sally, ut-ngp}!utastro!anita
                    or     seismo!ut-sally!utastro!anita
                   arpa:  anita%utastro@UTEXAS.ARPA  
                   snail: Astronomy Department
                          The University of Texas at Austin
                          Austin, TX  78712
                   at&t:  (512) 471-4461