Transcript Chapter 1

Lesson 10
Earth-Sun Relationships
Hess, McKnight’s Physical Geography, 10 ed.
15-21 pp.
Terms to Know

Rotation: Earth completes one rotation every
24 hours giving us day and night.
Terms, cont.

Revolution: Earth completes one revolution
around the sun every 365 ¼ days.
Terms, cont.

Revolution is not a perfect circle, more of an
elliptic.
 When revolution brings earth closest to sun: perihelion
 When revolution takes earth furthest from sun: aphelion
Point 1: Earth at aphelion
Point 2: Earth at perihelion
Point 3: Sun
Perihelion and Aphelion, cont.
Terms, cont.

Ecliptic plane: This is the level, or plane, of
Earth’s orbit around the sun…Earth’s orbital
path.
◦ Astronomically, this is the primary plane referred to
when discussing the revolution of other planets
around the sun
Terms, cont.

Inclination: Relative to the ecliptic plane, Earth
is tilted 23.5° from vertical at all times.
Terms, cont.

Polarity: Because Earth is always tilted 23.5°,
it’s axis is always pointed in the same
direction…towards the star Polaris.
◦ Because of this regular tilt, when the Earth
revolves around the sun, the North pole is either
tilted towards the sun (June) or tilted away from
the sun (December)
◦ DO NOT confuse the term “polarity” with
magnetism
Earth’s Equinoxes

Equinox: Earth is positioned so that its is neither
towards nor away from the sun…giving the entire
planet equal amounts of day and night.
◦ Occurs twice each year, around March 20 and September 22.
Earth’s Solstices

Solstice: Earth is positioned where its tilt is either towards or
away from the sun.
◦ Occurs twice a year, just like the Equinoxes, around June 21 and
December 21.
◦ The direct rays from the sun hit the earth at 23.5°N on June 21, while
the tangent rays hit the earth around 66.5°N and 66.5°S.
Sun’s Rays during Equinoxes
Sun’s Rays during Summer Solstice
Sun’s Rays during Winter Solstice
Video on Seasons

http://www.youtube.com/watch?v=taHTA
7S_JGk

Powers of ten:
◦ http://youtu.be/vRjGarICal4
◦ http://youtu.be/0fKBhvDjuy0
Lesson 11
Solar Angle
Hess, McKnight’s Physical Geography, 10 ed.
17-20 pp.
Sun Declination
Recall, the vertical rays (direct rays) are those
from the sun that strike the Earth at a 90°
angle.
 The location of these vertical rays changes
throughout the year

◦ Located at the Tropic of Cancer during the summer
solstice
◦ Located at the equator during the equinoxes.

The latitude at any given time of the year where
the sun’s vertical rays strike the Earth is known
as the sun declination.
Sun Declination, cont.

The sun’s declination can be plotted on a
graph, known as an analemma (next slide)
◦ The sun’s declination is plotted along the
vertical axis
◦ The days of the year are along the analemma
itself
Solar Altitude

Solar altitude is the elevation of the sun in the
sky at noon local time
◦ i.e. the angle of the noon sun above the horizon

Can be calculated mathematically:
𝑆𝐴 = 90° − 𝐴𝐷
where SA is the solar altitude and AD is the arc distance
Arc distance (AD) is actually the difference
between the latitude your at and the declination
of the sun at that time of year.
 Let’s look at an example…

Solar Altitude Example

Suppose it’s noon and we’re outside on campus
during a snowstorm on January 12th. The clouds
and snow showers are blocking the sun from
being visible. Even though we can’t see the sun,
what is the solar altitude (sun’s elevation above
the horizon)?
Solar Altitude Example, cont.
The latitude of Muncie is 40° 11’ 36” N.
 Looking at our analemma, we find that on
January 12th, the sun’s declination is 21.5°
S.
 The arc distance (AD) can be found by
subtracting the sun’s declination from our
latitude:

40° ─ −21.5° = 61.5° = AD
◦ The reason there is a negative in front of the
21.5° is because the sun’s declination was “S”
and the sun is over the southern hemisphere.
Solar Altitude Example, cont.

Now that we know AD, plug into the equation
we were given:
𝑆𝐴 = 90° − 𝐴𝐷
𝑆𝐴 = 90° − 61.5°
𝑆𝐴 = 28.5°
 Therefore, if we could see the sun through the
clouds and snow, it would only be 28.5° above the
horizon.
◦ For additional examples, see page 51 and 53 in your lab
manual.
Tangent Rays and Daylight/Darkness
If we know the latitude of declination for the
sun (where it’s direct rays strike the Earth; from
the analemma), then we can easily find the
latitude of the tangent rays (those rays that
skim past the earth).
 Simply use this equation:
𝑇𝑅 = 90° − 𝐷𝑒𝑐

Where TR is the latitude of the tangent rays and Dec is the sun’s
declination
Tangent Rays and Daylight/Darkness, cont.

From our previous example, we found that the
declination of the sun on January 12th is 21.5° S.
So, plugging that in:
𝑇𝑅 = 90° − 𝐷𝑒𝑐
𝑇𝑅 = 90° − 21.5°
𝑇𝑅 = 68.5°

So, we know that those latitudes above 68.5° N
and 68.5° S receive either 24 hours of sunlight
or 24 hours of darkness…but which is which?
Tangent Rays and Daylight/Darkness, cont.

For the Northern Hemisphere, remember this:
◦ If the day is between March 20 and September 22,
then those areas north of the latitude of the tangent
rays are experiencing 24 hours of daylight.
◦ If the day is between September 23 and March 21,
then those areas north of the latitude of the tangent
rays are experiencing 24 hours of darkness.