Transcript “TIME”?
P/2010 A2 is unlike any object ever seen before. Close inspection shows a 140-meter nucleus offset
from the tail center, very unusual structure near the nucleus, and no discernable gas in the tail.
Knowing that the object orbits in the asteroid belt between Mars and Jupiter, a preliminary
hypothesis that appears to explain all of the known clues is that P/2010 A2 is the debris left over
from a recent collision between two small asteroids.
Homework #2 is due Monday, Feb. 8, 2:30 pm
If you could see stars during the day, the drawing below shows what the
sky would look like at noon on a given day. The Sun is near the stars of
the constellation Gemini. Near which constellation would you expect the
Sun to be located at sunrise?
A. Leo
B. Cancer
C. Gemini
D. Taurus
E. Pisces
Sun
Gemini
Taurus
Cancer
Leo
Pisces
East
South
West
Why do the stars appear to move?
How fast do the stars move?
Where would Gemini have been seen six hours earlier?
Why does the Sun appear to move?
How does the Sun move relative to the stars?
Where would it have been located six hours earlier?
Sun
Gemini
Taurus
Cancer
Leo
Pisces
East
South
West
If you could see stars during the day, the drawing below shows what the
sky would look like at noon on a given day. The Sun is near the stars of
the constellation Gemini. Near which constellation would you expect the
Sun to be located at sunrise?
A. Leo
B. Cancer
C. Gemini
D. Taurus
E. Pisces
Sun
Gemini
Taurus
Cancer
Leo
Pisces
East
South
West
This homework question has been regraded as an “extra-credit”
question D. Taurus
E. Pisces
Sun
Gemini
Taurus
Cancer
Leo
Pisces
East
South
West
Tropic of Cancer – sun
overhead at Summer
Solstice
Tropic of Capricorn –
sun overhead at Winter
Solstice
Eclipses:
understanding
shadows
Lunar phases arise
from viewing the
illuminated half of the
Moon from different
orientations.
The Earth & Moon are
also casting shadows
into space. What are
the consequences of
these shadows?
Eclipses occur when one
object moves into the
shadow of another object
Lunar Eclipse: Moon in Earth's Shadow
Parts of a shadow
penumbra
umbra
Lunar Eclipse
Three types:
(1) Penumbral
(2) Partial
(3) Total
Note that the edge of
the Earth's shadow,
as seen on the Moon
during a partial
eclipse, is curved.
This was early
evidence that the
Earth is spherical.
At what lunar phase(s) can
lunar eclipses occur?
Solar Eclipses
Solar Eclipse: Earth in Moon's Shadow
Three types of
solar eclipses:
(1) Total
(2) Annular
(3) Partial
The widest the Moon's umbral shadow
gets at the Earth is ~270 km, while the
penumbral shadow ~7000 km
For this reason, total and annular
eclipses of the sun last only a few
minutes at most and are seen over only a
very small area
Frequency of
Eclipses
If the Moon's orbital plane was the
same as the Ecliptic plane, there
would be two eclipses every
month!
Because of the inclination of the
Moon’s orbit relative to the Ecliptic, the
Sun, Earth and Moon are usually not
truly lined up at New Moon and Full
Moon
Moon's orbital plane inclined by approximately
5 degrees relative to the Ecliptic
Line of Nodes line connecting
the two points
where the
Moon's orbit
passes through
the Ecliptic
plane
To have an eclipse, the Line of Nodes of the Moon's orbit
must be lined up with Earth and Sun - “Eclipse Season”.
Some type of lunar and solar eclipse will
occur every eclipse season:
it is usual to see two eclipses - one solar
and one lunar - in an eclipse season, but
roughly every seven years a third eclipse
is possible
If the Moon's orbit maintained the same
orientation in space, eclipse season
would occur every half year.
However, the Moon's orbit precesses.
This leads to eclipse seasons
separated by approximately 173 days.
Given the 29 ½ day lunar phase cycle
(synodic period) and the ~ 173 day
period of the eclipse season, there is
an approximate concurrence of these
cycles every ~18 yr 11 1/3 days
This is called the Saros Cycle
Total solar
eclipses
If you were on the Moon during a solar
eclipse, what would you see?
(a) A faint ruddy reddish Earth
(b) Nothing different
(c) A small circular shadow moving across the
Earth's surface
(d) A bright ring surrounding a darkened
Earth.
If you were on the Moon during a solar
eclipse, what would you see?
(a) A faint ruddy reddish Earth
(b) Nothing different
(c) A small circular shadow moving across the
Earth's surface
(d) A bright ring surrounding a darkened
Earth.
Intermission
with entertainment!
The very first ever Blonde GUY joke..... And well worth the wait!
An Irishman, a Mexican and a Blonde Guy were doing
construction work on scaffolding on the 20th floor of a building.
They were eating lunch and the Irishman said, "Corned beef and
cabbage! If I get corned beef and cabbage one more time for
lunch, I'm going to jump off this building."
The Mexican opened his lunch box and exclaimed, "Burritos
again! If I get Burritos one more time I'm going to jump off, too."
The blond opened his lunch and said, " Bologna again! If I get a
bologna sandwich one more time, I'm jumping too."
The next day, the Irishman opened his lunch box, saw corned
beef and cabbage, and jumped to his death.
The Mexican opened his lunch, saw a Burrito, and jumped, too.
The blonde guy opened his lunch, saw the bologna and jumped
to his death as well.
At the funerals, the Irishman's wife was weeping. She said, "If I'd
known how really tired he was of corned beef and cabbage, I
never would have given it to him again!"
The Mexican's wife also wept and said, "I could have given him
tacos or enchiladas ! I didn't realize he hated Burritos so much."
Everyone turned and stared at the blonde's wife. The blonde's
wife said …
"Don't look at me. He makes his own lunch"
TIME
What exactly do we mean
by the term “TIME”?
What approach would you take to
keeping track of time on short time scales?
Long time scales?
Are there advantages or disadvantages
to these approaches?
Why is this important (or is it)?
Keeping track of time
Critical to societies in which the
availability of food and weather
have seasonable variability
and
to societies with rapid
communications and travel
Over 5,000 years ago civilizations started the
quest for accurate ways to tell the time of day as
Earth rotates on its axis.
They used observations of the Sun and other
heavenly bodies to indicate times like noon.
The challenge was how to divide the day into
regular units that could be synchronized, even
with cloudy days.
Time keeping is based on cycles in the sky
Day: successive meridian crossings of sun (solar day)
or star (sidereal day)
The Sun rises about 4
minutes later each day
as compared to the
stars
Time keeping is based on cycles in the sky
Day: successive meridian crossings of sun (solar day)
or star (sidereal day)
Year: rising/setting points of sun on horizon
Month: cycle of lunar phases
24 HOUR DIVISION OF THE DAY
Around 1500 B.C., Egyptians developed a sundial, onto which
they divided the daylight hours into 10 equal parts.
24 HOUR DIVISION OF THE DAY
Around 1500 B.C., Egyptians developed a sundial, onto which
they divided the daylight hours into 10 equal parts.
They designated two additional parts (“hours”) to signify twilight
time (morning & evening)
They divided the night time into twelve portions based upon
crossing of the meridian by evenly spaced “clock stars”
Ever since then, we have divided the day into twentyfour portions (hours)
GOT HERE
Why do clocks run in the
“clockwise” direction?
Apparent Solar Time
vs
Mean Solar Time
Apparent Solar Time: Based on the location of
the sun in the sky relative to the local meridian
Because of the Earth’s variable orbital speed
(due to its noncircular orbit) and to the inclination
of Ecliptic to Equatorial plane, the rate at which
the sun appears to move is not uniform.
This leads to variable length days!
Not very useful to have hours and
days that are not uniform in length!
Solution: Create fictitious sun
which moves at a uniform rate
equal to the mean motion of the
sun.
Mean Solar Time
Location of “average” sun
relative to the local meridian.
This average sun moves at a
constant speed relative to the
celestial equator – equal length
days.
Mean solar time
can run from 17
minutes earlier
than apparent
solar time to 15
minutes later.
Relationship
between two is
given by the
“analemma”
Both apparent and mean solar time are defined locally.
Need more uniform time keeping scheme.
Standard Time: Time zones within which the time is
approximately the same as the mean solar time at the
center of the zone.