
Yes! Yes!
Quickly before the dullnamic duo, Dick and Jane, arrive. They
don't know I'm here and I'd like to have just one No Frills
Help edition without their characterless chatter. So,
what exactly does the graph like the following represent?
Wonderfully
Dull Graphic Number 1
You
should know that when we try to map things here on earth we use latitude and longitude. To
map things in the sky, you should also know by now that we use declination and right
ascension. You may have noticed that declination and
right ascension are very similar to latitude and longitude – if
you haven't noticed this, they are very similar. So in
the graph above, right ascension (RA) for any object in the sky
is listed across the top – the X axis. On the right side
you see degrees marked out which is the declination. With
that said, let's look at the next graphic.
Boring Graphic Number 2
In the same way we "flatten" the
spherical earth onto a flat surface to create a map, Boring Graph
Number 2 is just a projection of the celestial sphere onto a
two dimensional surface.
In the case of our moving graphic, we are looking at the position
of the sun on the celestial sphere during certain times of the year.
In my usual
brilliant manner, I'll give you some graphing examples to help
you along.
In this example
we will be graphing the sun throughout the year. You should
recall that on March 21 of each year, the sun reaches the Vernal
Equinox, which is 0h RA. If we have equal amounts of
day and night this day, then the sun's declination is at 0 degrees. So
when we graph the sun at that time, we get the graph above.
Still Boring Graphic Number 3
To continue with the example,
the above graph is the sun for the first day of summer. The blue
dot is where the sun was at the Vernal Equinox, the yellow is
its present position - the first day of summer. If you
think it through you will remember that the sun is at the highest
point above the horizon on this day (compared to all other days
in the year) for the Northern Hemisphere. This means that
the sun has to have the highest declination on this day. The
largest declination possible due to the tilt of the earth's axis
relative to the plane of the ecliptic is 23.5 degrees.
You might ask yourself, "Gee,
Mr. Brisban, how do I find the right ascension (RA)?" The
graph that I drew here is for one year. By moving from
spring to summer, we should have traversed one quarter of the
graph. One quarter of 24 hours is 6 hours. That is
the RA for the sun on June 21, as plotted above.
Somewhat
Interesting Graphic Number 4
Again,
the graph above is where the sun will be at another time of the
year. This time it is the first day of fall, September
21. We know that on this day, everyone on earth will see
the same amount of sunlight as darkness. This means that
we are at another equinox. The Vernal Equinox had a declination
of 0 degrees, so that also applies to the Autumnal
Equinox. We have now gone half a year since we started
tracing the graph. This means that the RA now has to be
at 12 hours RA (half of 24 hours).
Much
More Interesting Graphic Number 5
Continuing
on to the first day of winter, December 21, we receive the least
amount of sunlight, and we have now gone three-quarters of the
way in RA on the graph. Therefore, the sun's declination
is –23.5 (the exact opposite of the summer) and the RA is 18.
Good
Graphic Number 6
To
finish the example, (as shown above) I will back us up to the
Vernal Equinox. The Vernal Equinox is at both 24 hours
RA or 0 hours RA. They are one in the same. And the
sun is at 0 degrees declination.
Brisban's
Brilliant Graphic Number 7
Finally, if you could apply
more points of where the sun is on different days of the year,
you would see that the sun follows a gentle curve.
That's it for this edition of
No Frills Help. And to think, no Dick and Jane for the
entire session – Oh! Sweet miracle!
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