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HOW DOES ECLIPSES ARISE?
How does eclipses arise, and why do they occur so rarely?
You will find the answer here.
An eclipse can be either partial, annular or total.
THE SAROS CYCLE
The periodicity and repetition of eclipses is described by the Saros cycle.
This has a length of about 6585,3 days (18 years 11 days and 8 hours), and has
been known since the ancient times. A node is the points
where the orbit of the Moon crosses the orbit of the Earth.
The cycle is due to the union between three of the Moon's periods of orbit:
Two eclipses that are separated with a Saros cycle have geometrical quantities
which are very much alike.
They occur in the same node of the Moon at nearly the
same distance from the Earth and at the same time of year.
Because the cycle is not a whole number of days, succeeding eclipses
are visible from different places on the Earth. The displacement of
1/3 day means that the Earth rotates 8 hours or 120 degrees of longitude extra
for every cycle. For eclipses this means that they are moved 120 degrees west.
Therefore, a Saros era returns to about the same geographic position
after 3 cycles (54 years and 34 days).
A Saros cycle does not last forever because the periods of months
do not fit accurately to each other.
Most important it is that the node of the Moon moves about 0,5 degrees east
for every cycle. A typical Saros cycle of an eclipse begins when the
new Moon is about 18 degrees east of a node. If the first eclipse
occurs when the node of the Moon is waning, the penumbra
of the Moon
passes 3500 km beneath the Earth and a partial eclipse is visible from
the South Pole area. Next time, the penumbra passes 300 km closer to Earth
and a larger partial eclipse arises. After 10 or 11 cycles (about 200 years),
the first central eclipse will occur near the South Pole. During
the next 950 years, a central eclipse will arise in every Saros cycle,
but it will move in average 300 km north every time. Halfway through the
period, long-term eclipses will occur near Equator. The last central
eclipse will occur near the North Pole. The next 10 eclipses will be
successive smaller, partial eclipses.
Finally, the Saros cycle will end about 13 centuries after it started, on
the opposite Pole. A typical cycle may consist of about 70-80 eclipses,
hence around 50 central ones (total or annular). If a Saros era begins
near a raising node, the eclipses will move in the opposite direction
- from north towards south.
Since there are from two to five eclipses every year, it is about 40
different Saros cycles at hand simultaneously. In the last half of the 20.
century, there were for instance 41 series and 26 of them was producing
eclipses. When old series end, new ones begin.
CONTACT PERSON:
Knut Jørgen Røed Ødegaard
Institute of Theoretical Astrophysics
Phone: +47 22 85 75 22 (Institute of Theoretical Astrophysics)
Email: knutjo@astro.uio.no
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