Melancholoholic Issue # 2

Sep 1, 2011 by

With a thread on oddbloke.ca called Melancholoholic how could I let September 1st go by without a post. It seems like a perfect opportunity to milk some melancholy from an arbitrary day on the calendar. Kind of like Valentine’s Day except this won’t cost you anything and it will probably cost me money in bandwidth. So in a nutshell – a complete waste of time.

Now to nip in the bud any repartee from any of you “exactaphobes” – we do know the first day of Fall for 2011 for countries in the Northern Hemisphere is September 23.

This specific day, September 23rd doesn’t tell my eyes or my heart that another year has come to pass. Writing this post just now,  even though I have been thinking about it for a couple of days, I still come back to this one thing. This thing – which I ham up every year, and endeavour to make sound at least as cyberbabble-bullshit as I did the year before – is this:

“It is the angular inclination of the photonic energy of the sun that sparks these melancholic meanderings through our lives.”

 

Its interesting at least for me that at this time of year as the summer heat subsides you can often smell morning glory in the air here in Strathcona in the early morning. From a little after one, two in the morning, a slight scent is in the air.

I find it remarkable when all of these things coalesce to create this symphony that we experience. At least if we are taking the time to pay attention.

All of these things? Well – of course we have the angular inclination of the photonic energy of the sun, then the sweet smell of fall flowers like morning-glory, and finally the sounds.

It is almost as if the sounds of fall themselves, sensing a slowing down, keep pace – and carry on just a little longer.

I’m not avoiding talking about AIPES (angular inclination of the photonic energy of the sun). It’s just that some claim the phenomenon doesn’t exist, chiefly Erin E. Gunther, my wife.  I’m a little worried, you know, I could be a crack pot. She’s only joking. Here is some info on this outside of my rambling. You can read it and it will give me time to wipe the drool from my chin.

 

 

AIPES

Tutorial on Earth/Sun Relations and Seasons

http://daphne.palomar.edu/jthorngren/tutorial.htm

Dr. J. R. Thorngren

 

To understand why we have seasons, we need to look at the relations between the Earth and the sun.

The Plane of the Ecliptic is the plane of the Earth’s orbit around the sun.

 

Most of the planets in the solar system also orbit on or near the plane of the ecliptic (you can see that the planets (except Pluto) are more or less lined up, instead of circling the sun at just any old angle. No, this is not drawn to scale). The sun’s rays are pretty close to parallel to each other when they reach the Earth,so, if the Earth’s axis of rotation were perpendicular to the plane of the ecliptic, the direct rays of the sun would always shine on the equator (that is, the angle of incidence at the equator would be 90 degrees) and you would always see the sun just on the horizon at the North and South Poles (that is, the angle of incidence at the Poles would be zero). If that were the case, we would have no seasons.

However, the Earth’s axis is not perpendicular to the plane of the ecliptic. If you drew a line perpendicular to the plane of the ecliptic, the Earth’s axis of rotation would be tilted, or inclined, at an angle of about 23 1/2 degrees with respect to the perpendicular line. It is this inclination of the Earth’s axis of rotation that is the reason for the seasons.

The earth maintains the same angle of inclination throughout its orbit. Another way of saying this is that the earth’s axis is parallel to itself at all points in its orbit.

Question:

To which star does the Earth’s axis point? That is, what star is almost directly overhead at the North Pole?

Answer:

The inclination of the Earth’s axis means that at different locations on its orbit around the sun, different parts of the earth are tilted toward the sun, and the part that is tilted toward the sun is the part that is having summer. If the northern hemisphere is tilted toward the sun, the northern hemisphere receives the most direct rays of the sun (that is, the angle of incidence is higher), and it is summer in the northern hemisphere. If the southern hemisphere is tilted toward the sun, the southern hemisphere receives the most direct rays of the sun (that is, the angle of incidence is higher), and it is summer in the southern hemisphere. In the intermediate situations, halfway between the two extremes, the Earth’s axis is still tilted, but not tilted with respect to the sun’s rays, and the sun’s rays strike directly on the Equator.

Let’s look at this more closely. At one point in its orbit, the northern part of the earth has its maximum inclination toward the sun. Since the earth’s axis is tilted 23 ½ degrees, then on this particular day, the sun’s rays are striking the earth directly at a latitude approximately 23 ½ degrees north of the equator (that is, the sun’s rays are coming in at an angle of 90 degrees here; this is the subsolar point). This occurs on about June 21 or 22 each year, and the day is known as the Summer Solstice (summer for those who live in the Northern Hemisphere, that is. It might be safer and more generally applicable to call it the June Solstice).

If you were at 23 1/2 degrees north latitude on that day, and you looked up at noon, the sun would be directly overhead. This latitude is the farthest north on the Earth that the sun’s rays will be directly overhead. Farther north, at noon, the sun will never be directly overhead, but always at least a little bit to the south. The latitude of 23 ½ degrees north is known as the Tropic of Cancer, and it is the northern boundary of the tropics.

Question: On June 21, the subsolar point is at about 23 1/2 degrees north. The next day, will the subsolar point be north or south of the Tropic of Cancer? Answer.

What else is happening at this time? Look at the circle of illumination, and see where it is. Half of the earth is illuminated, but the circle of illumination does not pass through the north and south poles, as would be the case if the earth’s axis were not tilted. Instead, the sun’s rays pass over the North Pole and in fact go “over the top” to a latitude 23 ½ degrees south of the NP. Since the NP is 90 degrees north, the C of I goes to 66 ½ degrees north (90-23.5=66.5). This is the Arctic Circle, and on this day, June 21 or 22, every location north of the Arctic Circle is illuminated for the entire 24 hours (this is the Land of the Midnight sun; the sun does not rise or set here on the solstice, but just circles around above the horizon).

On the other end of the globe, the circle of illumination never reaches the south pole, and in fact it doesn’t get to within 23 ½ degrees of the south pole. So every place more than 66 ½ degrees south of the equator misses out on the sun’s rays entirely that day–they get 24 hours of darkness (twilight, really, since the sun is not that far below the horizon). The latitude 66 ½ degrees south is known as the Antarctic Circle.

Question: If daylength is 24 hours at the North Pole during the June solstice, and 0 hours at the South Pole during the June solstice, what is the daylength at the Equator on that day? Answer.

Bonus question: If the sun is directly overhead at the Tropic of Cancer (that is, the angle of incidence is 90 degrees), what is the angle of incidence at noon at:

a) the Equator? Answer

b) the North Pole? Answer

Let’s take a look at the opposite end of the year, six months later, on December 21 or 22. On this day, the earth has gone halfway around its orbit, and is opposite the point where it was on the summer solstice. The situation is exactly reversed. The southern hemisphere of the earth is tilted toward the sun, and the sun’s rays are perpendicular to the earth’s surface at 23 ½ degrees south. This is the subsolar point: the sun is directly overhead at noon at this latitude. The farthest south that the sun’s rays shine directly is latitude 23 ½ degrees south, the Tropic of Capricorn. This is the southern boundary of the tropics. On this day, the area north of the Arctic Circle gets no sunlight, and the area south of the Antarctic Circle gets 24 hours of light.

This is called the Winter Solstice (or the December Solstice).

It is summer for the Southern Hemisphere (and the longest day of the year for the Southern Hemisphere), and winter for the Northern Hemisphere (and the shortest day of the year for the Northern Hemisphere).

Question: At the December Solstice, the sun is shining directly on the Tropic of Capricorn. The day after the solstice, where will the subsolar point be–north or south of the Tropic of Capricorn? Answer.

Six months after the December Solstice (on, say, June 21), where will the subsolar point be? Answer.

Three months after the December Solstice (on, say, March 20), where will the subsolar point be? Answer.

 

Now for the intermediate situation. The subsolar point is at the Tropic of Cancer in June, and at the Tropic of Capricorn in December. Midway between the solstices are two dates when the sun shines directly on the equator, and we have a situation like our hypothetical one, where the earth’s axis is perpendicular to the ecliptic. (The axis is still tilted, still pointing at the North Star, but it is tilted sideways with respect to the sun, rather than towards or away from the sun).The circle of illumination passes through the poles, the sun’s rays strike the equator at an angle of 90 degrees, and every part of the earth has 12 hours of daylight and twelve hours of night. This happens twice in the year. These two days are called the equinoxes. (equinox means equal night, since days and night are equal at twelve hours). March 20 or 21 is the vernal equinox or spring equinox (for the Northern Hemisphere), and the subsolar point is heading north, on its way to the Tropic of Cancer. September 22 or 23 is the autumnal equinox, or fall equinox (for the Northern Hemisphere); the subsolar point is on the way south.

 

 

 

Throughout the year, daylength is 12 hours at equator. At the Poles, daylength varies from none (at the winter solstice for that hemisphere) to 24 hours (at the summer solstice for that hemisphere). At points in between, daylength will be somewhere in between. The closer a location is to the Equator, the more even the daylength is, not varying much from twelve hours all year. At high latitudes, the daylength is very long in the summer, and very short in the winter.

 

One more point about the Earth’s orbit: By now you know that the reason we have seasons is the tilt of the Earth’s axis. But sometimes people wonder if seasons have anything to do with the distance of the Earth from the sun. We know that can’t be the case, because the seasons are opposite in the Northern and Southern Hemispheres. However, if we look at the Earth’s orbit closely, we find that it is not exactly circular. Rather, it is an ellipse, which is an oval shape, or a very slightly flattened circle. The sun is at one focus of the ellipse. This means that the Earth’s distance from the sun does vary. The point where the Earth is closest to the sun is called perihelion (from the Greek peri, close or near, and helios, meaning sun). Perihelion takes place on January 3, which, of course, is during winter for the Northern Hemisphere, and summer for the Southern Hemisphere. The point where the Earth is farthest away from the sun is called aphelion (Greek ap, away from, and helios, sun). Aphelion takes place on July 4, which is winter for the Southern Hemisphere and summer for the ___________ (answer). So, actually the Earth and sun are closest during the Southern Hemisphere summer. Does this mean that the summers are hotter in the Southern Hemisphere? Well, the Southern Hemisphere does get a little more insolation during summer, but the effects of this are moderated, because the Southern Hemisphere is a water hemisphere (lots of ocean; take a look at a globe), and the water absorbs the extra heat. So the differences in summer heating between the two hemispheres are not really very noticeable.

 

To summarize:

At the June Solstice: The date is June 21 or 22. The subsolar point is latitude ___________ (answer). This latitude is called the Tropic of ____________ (answer). Length of day is ______ hours (answer) at the equator, ______ hours (answer) at the North Pole, and _______ hours (answer) at the South Pole. On this day, every location south of the ________ Circle (answer) is in darkness for 24 hours. Every location north of the ______ Circle (answer) gets 24 hours of daylight. It is the longest day of the year for the _________ Hemisphere (answer). At the Equator, the sun’s altitude at noon (angle of the sun above the horizon at noon) is __________ (answer). After the June Solstice, the subsolar point will move __________ (northward or southward) (answer).

 

At the December Solstice: The date is December 21 or 22. The subsolar point is latitude ___________ (answer). This latitude is called the Tropic of ____________ (answer). Length of daylight is ______ hours (answer) at the equator, ______ hours (answer) at the North Pole, and _______ hours (answer) at the South Pole. On this day, every location north of the ________ Circle (answer) is in darkness for 24 hours. Every location south of the ______ Circle (answer) gets 24 hours of daylight. It is the longest day of the year for the _________ Hemisphere (answer). At the Equator, the sun’s altitude at noon (angle of the sun above the horizon at noon) is __________ (answer). After the December Solstice, the subsolar point will move __________ (northward or southward) (answer).

 

At the March Equinox: The date is March 20 or 21. The subsolar point is latitude ________ (answer). This latitude is called the ____________ (answer). Length of day is ______ hours (answer) at the Equator. Every place on Earth has ________ hours (answer) of daylight. At the Equator, the sun’s altitude at noon (angle of the sun above the horizon at noon) is __________ (answer). After the March Equinox, the subsolar point will move __________ (northward or southward) (answer). So, this is the Spring, or Vernal Equinox for the Northern Hemisphere. It is Autumn for the Southern Hemisphere. The days will now be getting _________ (longer or shorter) (answer) for the Northern Hemisphere, and _________ (longer or shorter) (answer) for the Southern Hemisphere.

 

At the September Equinox: The date is September 22 or 23. The subsolar point is latitude ________ (answer). This latitude is called the ____________ (answer). Length of day is ______ hours (answer) at the Equator. Every place on Earth has ________ hours (answer) of daylight. At the Equator, the sun’s altitude at noon (angle of the sun above the horizon at noon) is __________ (answer). After the September Equinox, the subsolar point will move __________ (northward or southward) (answer). So, this is the Spring, or Vernal Equinox for the ______ Hemisphere (answer). It is the Fall or Autumnal Equinox for the Northern Hemisphere. The days will now be getting _________ (longer or shorter) (answer) for the Northern Hemisphere , and _________ (longer or shorter) (answer) for the Southern Hemisphere.

 

Now that you know it all, try taking a couple of practice quizzes to see if you know as much as you think you do.

 

It is very much a part of each of our lives, these subtle changes.  The lighting, the redolence, the melody of a season; each has its own familiar script in which it takes part. We are only here for the ride as these mechanisms have little need for our human instruction.

But when they all come together they give life to powerful memories in all of us.

An urge to pull out old photo albums, drawing our fingers across a picture of someone loved who is gone.  Favourite sweaters come out – ones that came from a favoured person.

As much as the time of year is one of closure – alas another summer has passed – it is also the time, for many, of a strange cathartic renewel that wells up inside.

It is strange really; like little squirrels, as we “put away” all our things for the coming winter, we take the time during this part of the year to recollect all that has gone past that is good.

 

This is the incredible thing to me – everything that is “good.”

 

I love how this kind of healthy melancholy is in a sense,  reverence for the things of true ephemeral value in our lives. Instead of running away from those feelings we should embrace them – we are only human.

Just because your all happy and sad at the same time doesn’t mean you need pills – it means your human. Get raking those leaves.

 

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8 Comments

  1. CyberPlainsDrifter

    I fully understand the sense of “oneness” you’re speaking of. I find myself running around during the ever shortening days preparing for the time ahead. I fear that the days grow ever shorter, but I an reassured that soon enough they will again begin to lengthen and everything that was will be again and so the cycle goes. But for now, I am that squirrel, gathering and collecting like a nut…For what reason? I dont know. its primordial. Instinctual. Natural.

    A few days ago, I left this town to go someplace and pay my respects to a long gone relative. I spent a number of hours driving. With stops along the way I was remined of the time of year. The air is still and warm, The light is more yellow than usual, ( I suspect “AIPES” as you so aptly put it) but it is very subtle and if you are not aware or “in tune” it will simply be just another day… there is something different. I cannot make it out. The smell in the air – where you smell Morning glory, I smell fermenting drupelets from the brambles. Its a sweet smell and it permiates the air in a manner similar to the way the air is scented in early summer by the blossoms of the wild rose. This assures me that all is well. I am sad, but I am glad… It will all happen again, and again, and again. So goes the cycle.
    All the best to you my Brother.
    R.

  2. Unknown

    Way neat, some very legitimate points! I appreciate you producing these short articles and making them accessible to the world! The remainder of the website can be substantial good quality. It possess a exciting future.

  3. Nancy

    Thanks for the share!
    Nancy.R

    • RedIron

      Hi Nancy thanks for the comment. I took out the URL to your comment as it is tricky sometimes to figure out who is a spammer and who is not.
      Cheers
      Rod

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