module 3: the celestial sphere activity 1: the rotating earth
TRANSCRIPT
Module 3: The Celestial Sphere
Activity 1:
The Rotating Earth
Summary:
In this Activity, we will investigate
(a) day and night & the Earth’s rotation,
(b) star trails,
(c) the celestial sphere & celestial poles, and
(d) sidereal and mean solar time.
As the Earth rotates on its axis from west to east, the Sun appears to rise in the east and set in the west.
(a) Day and night & the Earth’s rotation
that is, day and night.
Locations on the Earth’s surface alternate between sunlight and darkness -
Here we show four frames of the Earth rotating, showing Australia move from day to night. The Sun in on the left:
Sunlight
animations © Swinburne
(b) Star trails
Because of the Earth’s rotation, the stars appear to slowly move across the night sky as the hours go by.
(The stars also appear to slowly shift in position each night - so that you will see different stars overhead each night at, say, midnight. This is due to the changing position of the Earth in its orbit around the Sun, and means that we see different zodiacal constellations through the course of a year.)
If a camera is left outside with its shutter open for several hours on a clear night, it will photograph “star trails”, recorded on the film due to the apparent motion of stars across the night sky.
Star trails photographed in the southwest, towards the dome of the Anglo-Australian Telescope (AAT)
To make this picture, David Malin of the Anglo-Australian Observatory pointed a camera towards the dome of the Anglo Australian Telescope at Siding Spring Mountain in New South Wales, Australia.
Most stars rise & set in our sky - the star trails here are made by stars settingin the southwestern sky.
Star trails around the south celestial pole, towards the dome of the Anglo-Australian Telescope (AAT)
Some stars never set. Their trails form complete circles around points in the sky called (c) the celestial sphere & celestial poles
the “south celestial pole” (for southern hemisphere viewers) andthe “north celestial pole” (for northern hemisphere viewers).
(c) The celestial sphere & celestial poles
We can explain this apparent motion if we recognize that it is caused by the Earth’s daily rotation on its axis.
Almost all stars appear to follow circular paths, but most are partly obscured below the horizon.
south east south west
South CelestialPole
Only stars on a direct extension of the Earth’s rotation axis appear to stay stationary during the night.
Observers in the northern hemisphere see Polaris, the North Star, as stationary - it happens to be located almost at the North Celestial Pole.
North CelestialPole
north west north eastPolaris
There is no bright star at the South Celestial Pole.
south east south west
South CelestialPole
Although stars are actually at widely varying distances from Earth, we can picture these apparent motions as happening on an imaginary “celestial sphere”:
south celestial pole
north celestial pole
Although alt and az are easy coordinate systems* to use, they depend on where the observer is (i.e. where the horizon is located).
We can use the idea of the celestial sphere to define another celestial coordinate system. This one is the same for all Earth observers.
*To be reminded of how altitude (alt) and azimuth (az) are defined, review the Activity on Star Patterns.
We can imagine the celestial sphere as having a “celestial equator”
south celestial pole
north celestial pole
We can imagine the celestial sphere as having a “celestial equator”
south celestial pole
north celestial pole
… which is anextension of theEarth’s equator.
We can also project the Earth’s imaginary longitude
south celestial pole
north celestial pole
and latitude lines onto the celestial sphere
The correspondingcelestial coordinatesare:
Longitude right ascension (RA)Latitude declination (dec)
Declination is measured in degrees, arcminutes and arcseconds above or below the celestial equator - so, for example, stars near the north celestial pole have declinations close to +90°, and stars close to the south celestial pole have declinations close to - 90°.
(1 degree = 60 arcmin, 1 arcmin = 60 arcsec)
Right ascension is measured in hours, minutes and seconds, because it takes approx. 1 day for a star to reappear at the same point in the sky.
So a star’s coordinates might look something like: 12:52:03, – 47:34:43
which means RA = 12 hours 52 min 3 sec,
dec = - 47 degrees 34 arcmin 43 arcsec
south celestial pole
north celestial pole
An observer on the Earth’ssurface
sees the night skyabove the horizon
but not below.
observer’s horizon
So this observer cansee the North Celestial Pole and much of the sky (as the Earth rotates),but not the southern-mostsky near the South Celestial Pole
N
S
WETheir order mayseem odd, but remember thatthey apply to anobserver’s view whenlooking directly up.
Looking up, this northern hemisphere observer will see:
horizon
Polaris, at thenorth celestial
pole
Note the relativepositions of Eastand West on thissky chart.
N
S
W
horizon
The imaginary line across the sky from the most northern point on the horizon, through the zenith, to the most southern point on the horizon,
zenith
is called the “celestial meridian”.
S
WE
horizon
NWe can superimposelines of constant right ascension (RA)
and declination(dec)
An observer in the southern hemisphere will see: N
WE
horizonthe south
celestial pole
x
RA lines
dec lines
S
(d) Sidereal & Mean Solar TimeThe period of rotation of the Earth itself (the “day”) depends on whether one defines it as relative to the position of the Sun or relative to the fixed stars.
The time interval between when any particular (far distant) star is on the celestial meridian, from one day to the next, is the sidereal day.
The average time interval from when the Sun is at celestial meridian from one day to the next is called the mean solar day.
Because the Earth moves a small distance along its orbit during one day, the Sun shifts its position in the sky slightly eastwards each day.
Because of this, it takes a little longer for the Sun to returnto the meridian each day than it does for a distant star.
Therefore the mean solar day is slightly longer than the sidereal day - by about 4 minutes (or, more exactly, 3m 55.51s!).
If we start counting a day when the Sun and some distant star are directly overhead, after the Earth has turned far enough for the stars to return to the same apparent position in the sky, the Earth must still move an extra 1/365 of 24 hours (or about 4mins) for the Sun to return to your meridian.
distant star
Sun4mins
Day Zero: Sun and distant star overhead
Sidereal day: distant star overhead again(but not Sun)
Solar day: Sun overhead again (but now more than one sidereal day has passed)
Local standard time (the time we set our clocks to) is derived from mean solar time, but stars rise accordingto sidereal time. This is why stars appear to rise about 4 minutes earlier each night.
This is why astronomers prefer to use sidereal time to record their observations.
If you visit the control room of a research telescope, you are likely to find clocks displaying local sidereal time, local standard time and Universal Time (otherwise known as Greenwich mean time).
Image Credits
NASA: View of India and Saudi Arabia, taken by the Clementine spacecraft
http://nssdc.gsfc.nasa.gov/image/planetary/earth/clem_india_saudi.jpg
NASA Photo p-41508c: Image of the Earth and Moon from Galileo (cropped)
http://nssdc.gsfc.nasa.gov/image/planetary/earth/gal_earth_moon.jpg AAO, David Malin: Image reference AAT 5
Star trails in the southwest (© reproduced with permission)
http://www.aao.gov.au/local/www/dfm/aat005.html
AAO, David Malin : Image reference AAT 6
Star trails around the south celestial pole (© reproduced with permission)
http://www.aao.gov.au/local/www/dfm/aat006.html
Now return to the Module home page, and read more about day & night and the celestial sphere
in the Textbook Readings.
Hit the Esc key (escape) to return to the Module 3 Home Page