Understanding the Coincidence and Rarity of Solar & Lunar Eclipses, Study Guides, Projects, Research of Geometry

An insightful explanation of solar and lunar eclipses, their causes, and the reasons for their rarity. Learn about the alignment of the sun, moon, and earth, the lunar orbit, and the geometry of solar and lunar eclipses. Discover why solar eclipses are relatively rare and how lunar eclipses differ.

Typology: Study Guides, Projects, Research

2021/2022

Uploaded on 09/27/2022

anala
anala 🇺🇸

4.3

(15)

259 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Solar and Lunar Eclipses
Few astronomical phenomena are as captivating as the sight of a total solar eclipse. Solar
eclipses occur when the disc of the Moon passes in front of the disc of the Sun and blocks
the sun's light. During the moments of totality, which can last from a few seconds to no
more than about 7 minutes, nature as if night has fallen: stars are visible, nocturnal
animals stir, and the temperature becomes noticeably lower. No wonder total solar
eclipses have held a magical fascination for humans for centuries.
Total solar eclipses occur due to a wonderful coincidence of astronomy: even though the
actual diameter of the Sun is much larger than the Moon's, the Sun is farther from the
Moon. In fact, the Sun is just about 400 times larger than the Moon, and also about 400
times farther away; this means that both the Sun and Moon have approximately the same
apparent size in the sky, each subtending an angle of approximately 1/2 degree.
If you refer to the first diagram in Lunar Phases, it should be apparent that solar eclipses
can occur only when the Moon is in the new phase. Only a new Moon can line up in the
sky with the sun, and allow Earth observers to see its disc cross the Sun's. Does this
imply that we will have a solar eclipse each time there is a new Moon, in other words,
should we expect a solar eclipse to occur each month?
As we know, solar eclipses are relatively rare events, and we do not observe them every
month. To understand why, we must look at another detail of the lunar orbit. The diagram
below shows that the lunar orbit does not lie exactly in the plane of the ecliptic, rather,
the moon is inclined to this plane by 5o.
image courtsey opencourse.info
Because the orbital plane of the Moon is at an angle to the ecliptic, the probability is high
that when the Moon reaches the new phase, it will lie either above or below the ecliptic,
and will not align directly in front of the solar disc. Hence, in most months, we do not
observe solar eclipses at the phase of the new Moon. In short, solar eclipses can occur
only when the new Moon is in the plane of the ecliptic (and this should indicate to you
why the Earth's orbital plane is named the 'ecliptic'.)
pf3

Partial preview of the text

Download Understanding the Coincidence and Rarity of Solar & Lunar Eclipses and more Study Guides, Projects, Research Geometry in PDF only on Docsity!

Solar and Lunar Eclipses

Few astronomical phenomena are as captivating as the sight of a total solar eclipse. Solar eclipses occur when the disc of the Moon passes in front of the disc of the Sun and blocks the sun's light. During the moments of totality, which can last from a few seconds to no more than about 7 minutes, nature as if night has fallen: stars are visible, nocturnal animals stir, and the temperature becomes noticeably lower. No wonder total solar eclipses have held a magical fascination for humans for centuries.

Total solar eclipses occur due to a wonderful coincidence of astronomy: even though the actual diameter of the Sun is much larger than the Moon's, the Sun is farther from the Moon. In fact, the Sun is just about 400 times larger than the Moon, and also about 400 times farther away; this means that both the Sun and Moon have approximately the same apparent size in the sky, each subtending an angle of approximately 1/2 degree.

If you refer to the first diagram in Lunar Phases, it should be apparent that solar eclipses can occur only when the Moon is in the new phase. Only a new Moon can line up in the sky with the sun, and allow Earth observers to see its disc cross the Sun's. Does this imply that we will have a solar eclipse each time there is a new Moon, in other words, should we expect a solar eclipse to occur each month?

As we know, solar eclipses are relatively rare events, and we do not observe them every month. To understand why, we must look at another detail of the lunar orbit. The diagram below shows that the lunar orbit does not lie exactly in the plane of the ecliptic, rather, the moon is inclined to this plane by 5o.

image courtsey opencourse.info

Because the orbital plane of the Moon is at an angle to the ecliptic, the probability is high that when the Moon reaches the new phase, it will lie either above or below the ecliptic, and will not align directly in front of the solar disc. Hence, in most months, we do not observe solar eclipses at the phase of the new Moon. In short, solar eclipses can occur only when the new Moon is in the plane of the ecliptic (and this should indicate to you why the Earth's orbital plane is named the 'ecliptic'.)

Consider the diagram below showing the geometry of a total solar eclipse:

image courtesy U. Tenn. Knoxville

The diagram shows how the Moon casts a shadow in space. If the Moon's shadow reaches the surface of the Earth, those places on the Earth will observe a total solar eclipse. Since the Moon is so much smaller than the Earth, the Moon's shadow is smaller than the Earth's, and the area on the Earth that will observe a solar eclipse is small, making these events even rarer.

Lunar eclipses occur when the Moon passes into the shadow of the Earth. AS our lunar phases diagram shows, this can occur only during the full Moon phase, since the Earth's shadow will be cast in a direction opposite the sun, and only the full Moon is opposite the sun in the sky. The geometry of a lunar eclipse, seen below, makes this clear:

image courtesy U. Tenn. Knoxville

Similarly, a lunar eclipse can occur only when the full Moon is simultaneously in the plane of the ecliptic, so just as in the case of solar eclipses, we do not have lunar eclipses every month. Because the Earth is larger than the Moon, the Earth's shadow is wider than the Moon's, and lunar eclipses are visible over a much wider area on the Earth, and the time of totality lasts much longer than in a solar eclipse.