Saturday 16 December 2017

Why Does My Friend's House in Gurgaon Get More Sunshine on Winter Mornings?

A friend asked me why his house, located in Gurgaon, India, received more morning sunlight in winter, and more evening sunlight in summer. He looked up the angles of sunrise & sunset in summer & winter.

Here's the sunrise and sunset angles for Gurgaon that was posted.

Sunrise : 63* NE
Sunset : 297* NW

Winters :

Sunrise : 116* SE
Sunset : 244* SW

I will deal with the direction, then the angles. Notice that the sun is depicted as rising and setting in the North East and North West respectively in summer and in the South East and South West in Winter. It doesn't change direction. It is simply that in summer, the sun rides much higher in the sky than in winter. As India is in the Northern hemisphere, the position of the sun is higher, i.e. more Northerly, than in winter, when it sits more to the South. That is to say, it follows a much bigger arc, which intuitively makes sense, as the sunrise to sunset time, i.e. the total hours of sunlight, are much longer in summer. That explains the NE, NW in summer and SE, SW in winter.

Now the degrees. This confirms what I said earlier- the arc traversed in summer is much bigger- 297-63=234 degrees than in winter- 244-116= 128 degrees. The sun sits lower, i.e. more to the South in the Northern hemisphere, hence the arc is flatter and lower.

While this explains why the sun should hang around for longer in summer evenings, it certainly doesn't explain why you enjoy sunnier mornings in winter. I looked into this as well. The workings are fascinating and made lovely reading. I would be happy to share if there is any interest at all.

It is commonly believed that the winter solstice in the Northern hemisphere is the day with the most delayed sunrise and the earliest sunset. Indeed, the play of seasons and longer-shorter day length in summer-winter is a function of the earth's inclination relative to it's geometric axis. This angle of inclination ( or "declination" as it's called) is about 23.4 degrees, so that the North pole always faces the sun in summer, while the South pole faces the sun in winter. The inclined axis doesn't change direction. It always faces the Polaris, which is why it's as "Constant as the Northern Star".

However, the earth also revolves around the sun. This orbit is slightly elliptical, so that in December, the earth is closest to the Sun, called Perihelion, while in June, it is at it's furthest, called aphelion. Due to a law of planetary motion, called Kepler's second law, the earth moves faster in its orbit at perihelion, i.e. in December, than at aphelion, i.e. in June. From the vantage point of somebody sitting in the Sun, the earth will appear to be moving almost 7% faster in December therefore*. From the earth however, the Sun's movement through the sky will appear delayed. Thus, towards the end of the year, the Sun is "late". Both sunrise and sunset are later than would be predicted by the earth's declination alone. The reverse occurs in June, albeit less accentuated. That is to say, the sun is "early". Both sunrise and sunset occur earlier than would be expected from the earth's declination alone.

Thus, there are two solar phenomena determining the sunrise-sunset cycle. The first is due to the earth's declination, and can be called the "geometric effect". The second is due to the effect of the elliptical axis, and is called the "clock effect".

In practical terms, what this means is that in December, the delayed sunrise from the geometric effect is augmented by the clock effect, while the earlier sunset from the geometric effect is countered by the clock effect. Thus, say at 40 degrees North, sunset starts to occur later in the day as early as Dec 8, rather than Dec 21, while sunrise starts to occur earlier much later- around Jan 6. The effect is around 16 minutes each way.

The reverse occurs in June. As the sun is "early", sunrise occurs earlier than expected even before June 21, while the peak in late sunset is delayed until July.

It's worth saying here that the Clock effect is invariant, regardless of latitude, while the Geometric effect is more pronounced the further away from the equator you go. At the equator, because the Clock effect predominates, sunset starts occurring later and later as early as November, while it's February before sunrise starts occurring earlier. Timewise, the Clock effect is least pronounced around the equinoxes, and most pronounced around the solstices.

Practically, this means that closer to the equator (Gurgaon 28 degrees North), the Geometric effect is minimal, and the Clock effect occurs for most of the variation in sunrise and sunset. At the equator, this amounts to only around 30 minutes between summer and winter.

In more northerly latitudes ( say Nottingham 53 degrees North), the Geometric effect becomes more pronounced, accounting for the very short days in winter.

Now back to my friend's query. Why are the mornings sunnier in winter? The clock effect should not contribute more than 16 minutes to a change in the time of sunrise, but the problem with invoking it is that sunrise occurs later due to Clock effect in winter, chiming in with the Geometric effect. Hence that doesn't explain the winter morning Sun. The most likely explanation is therefore either less cloud cover in Winter or more likely a South East facing window, which captures most of the sunshine that's available. This latter explains why South facing gardens are prized in more northerly countries such as the UK.

* Kepler's second law - sometimes referred to as the law of equal areas - describes the speed at which any given planet will move while orbiting the sun. The speed at which any planet moves through space is constantly changing. A planet moves fastest when it is closest to the sun and slowest when it is furthest from the sun. Yet, if an imaginary line were drawn from the center of the planet to the center of the sun, that line would sweep out the same area in equal periods of time. For instance, if an imaginary line were drawn from the earth to the sun, then the area swept out by the line in every 31-day month would be the same. (http://www.physicsclassroom.com/class/circles/Lesson-4/Kepler-s-Three-Laws)

Why are West Coasts Warmer in the Northern Hemisphere?

The Coriolis effect diverts winds in the Northern hemisphere to the right, and in the Southern hemisphere to the left. Thus, in the northern hemisphere, winds blowing from north to south will be diverted westwards, while winds blowing from south to north would be diverted eastwards. The reverse will happen in the Southern hemisphere.

The Coriolis effect is more pronounced the further you go from the equator, i.e most pronounced at the poles, and negligible at the equator (which is why you almost never get cyclones at the equator itself. Cyclones rarely occur in the latitudes between 8 degrees north and 8 degrees south).

So far, so good, but this is all in the books, therefore not novel. I tried to think of a practical application of this that cannot be gleaned from the books. If one puts the two things above together, one can hypothesise that winds blowing southwards from the North pole would be directed westwards, and thus hit east facing coasts, while winds blowing northwards from the equator would be directed eastwards, and thus hit west facing coasts. It should follow therefore, that for large landmasses, equilatitudinal places should be warmer on the West coast than the East coast.

But are they?

So I randomly picked three pairs of locations, on East and west coasts, all reasonably to the north (so that the Coreolis effect would be prominent) to compare their average temperatures. By comparing places located at sea level, altitude is largely eliminated as a factor. Here are the results.

Arviat, located at 61 North on the Nunavut peninsula on the East Coast of Canada, has an average annual temp of -9 degree C. Hooper Bay, 61 North, located on the west coast of Alaska, USA, has an average annual temp of -1.7 degree C.

Portland, Maine, 43.66 North, on the Eastern seaboard, has an average annual temp of 7.4 degree C. Newport, Oregon, 44.63 North, on the West coast, has an average annual temp of 10.7 degree C. Note that Newport is actually a degree north of Portland.

To avoid local variations, I then took two places virtually miles apart, facing each other across the Bering Strait at around 65 North. Lorino, located on the East coast of Russia, has an average annual temp of -6 degree C. Teller, Alaska, on the West coast has an average annual temp of -4.9 degree C.

In the Southern hemisphere, things should reverse, and the East coast should be warmer. And it is. Two South American towns located at around 36.5 South-Concepcion, on the West coast of Chile, has an average annual temp of 12 degree C, while Santa Teresita, on the East coast of Argentina, averages 15.2 degree C.

Moving to Australia, we consider Sydney on the East coast, averaging 18.5 degree C annually, compared with Bunbury on the West coast, which averages 16.8 degree C. Both are around 33-34 degrees South.

Interesting, isn't it? Although the pairings were completely random, I deliberately left out places in the extreme south of South America, as it's very mountainous down one coast.