TO HELP YOU GET
to grips with position angles, you might like to try and estimate the PA for
some easy double stars. The following short list names six (out of many) double
stars that can be split with binoculars. The magnitudes of the two components
are given, along with their separation in arc seconds. The PA is measured from
the brighter star, so it tells you where to look for the fainter star of each
pair. Not only is it fun to estimate the PA of a double in the sky and look it
up to see how close you came, it is also good practice for keeping your
directions straight.
Alpha Cru, mags 1.1 & 5.1, separation 90 arcsec, PA 202
degrees Alpha Leo, mags 1.4 & 7.6, separation 177 arcsec, PA 307 degrees Gamma
Lep, mags 3.6 & 6.2, separation 96 arcsec, PA 350 degrees Delta Ori,
mags 2.2 & 6.8, separation 53 arcsec, PA 0 degrees Sigma Tau, mags 4.7 &
5.1, separation 430 arcsec, PA 14 degrees Nu Sco, mags 4.0 & 6.3,
separation 41 arcsec, 337 degrees.
ONCE YOU CAN IDENTIFY
north-south and east-west in the sky, you will be able to read a star chart.
Star atlases are calibrated according to the equatorial co-ordinate system which
measures distances north and south of the celestial equator in degrees
(declination), and west to east in hours (right ascension). The north celestial
pole lies at +90degrees and the south celestial pole at -90degrees . Right
ascension is measured west to east, going from 0h to 12h to 23h and back again
to 0h. Right ascension thus increases to the east and declination increases to
the north.
4.3 Measuring the Field of View
THE SIMPLEST METHOD
of measuring the field of view relies on the use of a star chart. Knowing north
and east in the sky, you can easily turn your star chart so that the image in
the eyepiece corresponds to the chart. Look for two stars that just fit in your
field of view, and locate these stars on the star chart. You can now measure
this distance on the map and compare it with the scale on the margin of the map
to convert your linear measurement to degrees or arc minutes. Remember that 1
degree = 60 arc minutes (60') = 3600 arc seconds (3600''). Binoculars typically
have fields larger than 4degrees , and telescopes normally give a view smaller
than 2degrees.
IT IS USEFUL TO
be able to judge angular distances in the sky. The following table lists some
angular estimates:
Solar / lunar diameter: 0.5 degree Width of index nail at
arms length: 1 degree Orion's Belt: 3 degrees Short arm of Crux: 4.5
degrees Long arm of Crux: 6 degrees Width of clenched fist at arm's
length: 10 degrees Long arm of Diamond Cross: 10 degrees Span of open
hand at arms length: 20 degrees
Everyday objects can also serve as angular gauges. To determine
the apparent angular size of anything in degrees, divide its linear width by its
distance from your eye, then multiply by 57. For example, a 30cm ruler held one
metre from your eye measures 30 ÷ 100 x 57 = 17 degrees.
A MORE ACCURATE
METHOD to determine the diameter of your field of view involves
measuring the time it takes for a star to drift across your field along the
east-west line. This method is only useful for telescopes, since a star will
take ages to cross the large field offered by binoculars. Choose any bright
star, preferably far from the south pole - a star in Orion's belt would be a
good choice. Centre the star in your field of view, turn off the drive, and
place the star just outside the eastern edge of the field. As the star drifts
into view, start your stop-watch. When the star disappears at the western edge,
stop the watch and note down the elapsed time. Repeat this measurement several
times and take the average. If this average time, T, is measured in minutes,
then:
field of view in arc minutes = 15 x T x cosine( D ),
where D is the declination of the star, read off from a
starmap. For example, suppose you measure several transits of Canopus and
calculate the average time to be 3.5 minutes. Canopus' declination is roughly
-52.7degrees degrees. The field of view is then 15 x 3.5 x cos(-52.7) = 15 x 3.5
x 0.6 = 31.5 arc minutes. Thus the field of view is roughly half a degree
across.
Make a note of the size of each eyepiece in your logbook, since
a given eyepiece used on a specific telescope has a fixed field of view. |