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Transcript
EDEXCEL IGCSE / CERTIFICATE IN PHYSICS 1-6
Astronomy
Edexcel IGCSE Physics pages 49 to 56
All content applies for Triple & Double Science
June 17th 2011
Edexcel Specification
Section 1: Forces and motion
d) Astronomy
understand gravitational field strength, g, and know that it is different on other planets and the moon
from that on the Earth.
explain that gravitational force:
- causes moons to orbit planets
- causes the planets to orbit the sun
- causes the moon and artificial satellites to orbit the Earth
- causes comets to orbit the sun
describe the differences in the orbits of comets, moons and planets
use the relationship:
orbital speed = (2× π × orbital radius) / time period
v = (2× π × r) / T
understand that:
- the universe is a large collection of billions of galaxies
- a galaxy is a large collection of billions of stars
- our solar system is in the Milky Way galaxy.
The Solar System
The Solar System consists of the Sun orbited by eight
planets and their moons, some dwarf planets along with
many asteroids and comets.
Planets
A planet is a body that orbits
the Sun, is massive enough
for its own gravity to make it
round, and has cleared its
neighbourhood of smaller
objects around its orbit.
Based on this, International
Astronomical Union’s definition
of 2006, there are only eight
planets in orbit around the
Sun.
In order of distance
from the Sun:
Mercury
Venus
Earth
Mars
Jupiter
Saturn
Uranus
Neptune
Dwarf Planets
A dwarf planet is a celestial
body orbiting the Sun that is
massive enough to be
spherical as a result of its own
gravity. but has not cleared its
neighbouring region of other
similar bodies.
As of 2011 there are five dwarf
planets in the Solar System.
Between Mars and Jupiter:
Ceres
Beyond Neptune:
Pluto, Haumea,
Makemake
and Eris (the largest)
Hubble image of Pluto
and one of its moons
(Charon)
Asteroids
An asteroid is a celestial body
orbiting the Sun that is not
massive enough to be spherical
as a result of its own gravity.
Most asteroids are found between
the orbits of Mars and Jupiter – a
region called ‘The Asteroid Belt’.
There are about 750 000 asteroids
larger than 1km across.
A few, called ‘Near Earth
Asteroids’ can pass very close to
the Earth.
Asteroid Vesta – image
taken on July 17th 2011
by the Dawn spacecraft
Moons
A moon orbits a planet.
Planet
Moons (2011)
Mercury
0
Venus
0
Earth
1
Mars
2
Jupiter
64
Saturn
62
Uranus
27
Neptune
13
The Earth’s only
natural satellite
Note: A number of dwarf planets and asteroids also have
moons, for example Pluto has three moons.
Time period (T )
This is the time
taken for a planet
to complete one
orbit around the
Sun.
It increases with a
planets distance
from the Sun.
Mercury
88 days
Venus
225 days
Earth
1 year
Mars
2 years
Jupiter
12 years
Saturn
29 years
Uranus
84 years
Neptune
165 years
Gravitational attraction
The force of gravity is responsible for the orbits of
planets, moons, asteroids and comets.
In 1687 Sir Isaac Newton stated that this
gravitational force:
- is always attractive
- would double if either the mass of Sun or
the planet was doubled
- decreases by a factor of 4 as the distance
between the Sun and a planet doubles.
Gravitational field strength (g)
This is a way of measuring the strength of gravity.
The gravitational field strength is equal to the
gravitational force exerted per kilogram.
Near the Earth’s surface, g = 10 N/kg
In most cases gravitational field strength in N/kg is
numerically equal to the acceleration due to
gravity in m/s2, hence they both use the same
symbol ‘g’.
Gravitational field strength (g) varies from planet
to planet.
It is greatest near the most massive objects.
Some examples of gravitational field strength:
Location
N/kg
Location
N/kg
Earth
10
Jupiter
24
Moon
1.6
Pluto
0.7
Mars
3.7
The Sun
270
Planet,
Dwarf
Planet or
Moon
Number
of
moons
(2011)
Average distance
from the Sun
(millions of km)
Diameter
(km)
Time for
one orbit
(years)
Average
surface
temperature
(°C)
Gravitation
al field
strength
(N/kg)
Mercury
0
58
4 700
0.2
(88 days)
+ 350
4
Venus
0
108
12 100
0.6
(225 days)
+ 470
9
Earth
1
150
(93 million miles)
12 700
`1.0
+ 15
10
Moon
-
0.38
(from the Earth)
3 400
0.07
(27 days)
- 50
1.6
Mars
2
228
6 800
1.9
- 30
4
Ceres
0
414
970
4.6
- 100
0.3
Jupiter
64
779
143 000
12
- 150
23
Saturn
62
1443
120 000
30
- 180
9
Uranus
27
2877
51 000
84
- 210
9
Neptune
13
4503
49 000
165
- 220
11
Pluto
3
5874
2 300
248
- 230
0.7
Planetary orbits
The orbits of the planets
are slightly squashed
circles (ellipses) with
the Sun quite close to
the centre.
The Sun lies at a ‘focus’
of the ellipse
Planets move more quickly when they are closer
to the Sun.
faster
slower
The above diagram is exaggerated!
What would happen to an orbit
without gravity
As the red planet moves it
is continually pulled by
gravity towards the Sun.
Gravity therefore causes
the planet to move along a
circular path – an orbit.
If this gravity is removed
the planet will continue to
move along a straight line
at a tangent to its original
orbit.
Comets
A comet is a body made of dust
and ice that occupies a highly
elongated orbit.
When the comet passes close to the
Sun some of the comet’s frozen
gases evaporate. These form a long
tail that shines in the sunlight.
Comets are most visible and travel
quickest when close to the Sun.
Comets are approximately 1-30km in
diameter.
Halley’s Comet
This is perhaps the most
famous comet.
It returns to the inner Solar
System every 75 to 76 years.
It last appeared in 1986 and is
due to return in 2061.
It has been observed since at
least 240BC. In 1705 Edmund
Halley correctly predicted its
reappearance in 1758.
Choose appropriate words to fill in the gaps below:
star
The Solar System consists of a ______,
the Sun, orbited by
eight planets, a number of dwarf planets and millions of
_______
comets
asteroids and ________.
orbit the Sun because of gravitational
All of these bodies ______
moons and
force. Gravity is also responsible for the orbits of _______
artificial satellites.
ellipses but those of comets
Most orbits are nearly circular _______
are highly elongated. Comets move ________
quickest when they are at
their nearest to the Sun
WORD SELECTION:
quickest eight ellipses orbit star moons comets
Orbital speed (v)
orbital speed = (2π x orbital radius) / time period
v = (2π x r ) / T
orbital speed in metres per second (m/s)
orbital radius in metres (m)
time period in seconds (s)
Question 1
Calculate the orbital speed of the Earth around the Sun.
(Earth orbital radius = 150 million km)
v = (2π x r ) / T
= (2π x [150 000 000 km] ) / [1 year]
but 1 year = (365 x 24 x 60 x 60) seconds
= 31 536 000 s
and 150 000 000 km = 150 000 000 000 metres
v = (2π x [150 000 000 000] ) / [31 536 000]
orbital speed = 29 900 m/s
Question 2
Calculate the orbital speed of the Moon around the Earth.
(Moon orbital radius = 380 000 km; orbit time = 27.3 days)
v = (2π x r ) / T
= (2π x [380 000 km] ) / [27.3 days]
but 27.3 days = (27.3 x 24 x 60 x 60) seconds
= 2 359 000 s
and 380 000 km = 380 000 000 metres
v = (2π x [380 000 000] ) / [2 359 000]
orbital speed = 1 012 m/s
Question 3
Calculate the orbital speed of the ISS (International Space Station)
around the Earth. (ISS orbital height = 355 km; orbit time = 91 minutes;
Earth radius = 6 378 km)
The orbit radius of the ISS = (355 + 6 378) km = 6 733 km
v = (2π x r ) / T
= (2π x [6 733 km] ) / [91 minutes]
but 91 minutes = (91 x 60) seconds
= 5 460 s
and 6 733 km = 6 733 000 metres
v = (2π x [6 733 000] ) / [5 460]
orbital speed = 7 748 m/s
Question 4
Calculate the orbital time of a satellite that has a speed of 3 075 m/s
and height above the earth of 35 906 km. (Earth radius = 6 378 km)
The orbit radius of the satellite = (35 576 + 6 378) km = 42 284 km
v = (2π x r ) / T
becomes: T = (2π x r ) / v
= (2π x [42 284 km] ) / [3 075 m/s]
but 42 284 km = 42 284 000 metres
T = (2π x [41 954 000 ] ) / [3 075 ]
orbital time = 86 400 seconds
= 1440 minutes
= 24 hours
Communication satellites
These are usually placed in geostationary orbits
so that they always stay above the same place on
the Earth’s surface.
VIEW FROM
ABOVE THE
NORTH POLE
Geostationary satellites must have orbits that:
- take 24 hours to complete
- circle in the same direction as the Earth’s
spin
- are above the equator
- orbit at a height of about 36 000 km
Uses of communication satellites include satellite
TV and some weather satellites.
Choose appropriate words to fill in the gaps below:
lower
A satellite is a ________
mass object orbiting around a
higher mass body.
________
slowly
The larger the orbit of a satellite the more ________
it moves
longer it takes to complete one orbit.
and the ________
communications and have
Geostationary satellites are used for _____________
24 hours.
an orbital period of _____
monitoring
_____________
satellites normally use polar orbits.
WORD SELECTION:
monitoring
higher
longer
lower
communications
24
slowly
The Milky Way
The Milky Way is the
name of our galaxy.
From Earth we can see
our galaxy edge-on. In a
very dark sky it appears
like a ‘cloud’ across the
sky resembling a strip of
spilt milk.
A very dark sky is required to
see the Milky Way this clearly
Galaxies
Galaxies consist of
billions of stars bound
together by the force of
gravity.
There are thought to be
at least 200 billion
galaxies in our Universe
each containing on
average 2 billion stars.
The Andromeda Galaxy
The Sun’s position in the Milky Way
Types of galaxy
Barred-Spiral – NGC 1300
Our galaxy is this type
Spiral – The Whirlpool Galaxy
Elliptical – M32
Irregular – The Small
Magellanic Cloud
Choose appropriate words to fill in the gaps below:
Universe
The ___________
is made up of billions of galaxies which
billions
consist of __________
of stars bound to each other by the force
of ___________.
gravity
galaxy
Sun is
The name of our _________
is The Milky Way. The ______
located towards the outer edge of our galaxy.
spiral
The are different types of galaxy; ________,
barred-spiral,
barred-spiral
elliptical and irregular. The Milky Way is a ____________
Andromeda
galaxy. The _____________
Galaxy is the nearest spiral galaxy
to the Milky Way.
WORD SELECTION:
Andromeda galaxy spiral
Sun Universe
gravity
barred-spiral
billions
Online Simulations
My Solar System - PhET- Build your own system of
heavenly bodies and watch the gravitational ballet. With
this orbit simulator, you can set initial positions,
velocities, and masses of 2, 3, or 4 bodies, and then
see them orbit each other.
Multiple planets - 7stones
Planet orbit info - Fendt
Distances in Space - Powerpoint presentation by JAA
Solar system quizes - How well do you know the solar
system? This resource contains whiteboard activities to
order and name the planets corrrectly as well as a
palnet database - by eChalk
Hidden Pairs Game on Planet Facts - by KT - Microsoft
WORD
Fifty-Fifty Game on Planets with Atmospheres - by KT Microsoft WORD
Fifty-Fifty Game on Planets that are smaller than the
Earth - by KT - Microsoft WORD
Sequential Puzzle on Planet Order - by KT - Microsoft
WORD
Sequential Puzzle on Planet Size - by KT - Microsoft
WORD
Lunar Eclipse - flash demo
Phases of the Moon - Freezeway.com
Phases of the Moon - eChalk
Seasons - Freezeway.com
Gravity & Orbits - PhET - Move the sun, earth, moon
and space station to see how it affects their
gravitational forces and orbital paths. Visualize the
sizes and distances between different heavenly bodies,
and turn off gravity to see what would happen without it!
Projectile & Satellite Orbits - NTNU
Newton's Cannon Demo - to show how orbits occur - by
Michael Fowler
Kepler Motion - NTNU
Kepler's 2nd Law - Fendt
Two & Three Body Orbits - 7stones
Orbits - Gravitation program
BBC KS3 Bitesize Revision:
The Solar System
Gravitational Forces
Days & Nights
Years & Seasons - includes an applet showing the tilt of
the Earth
The Moon
Artificial space probes and satellites
Astronomy
Notes questions from pages 49 to 56
1.
2.
3.
4.
5.
6.
7.
Outline the structure of the Solar System and explain the difference
between a planet and a moon. (see pages 49 to 50)
Define what is meant by gravitational field strength and explain how it may
differ throughout the Solar System. (see page 50)
How is the orbit of a comet different from a planet? (see pages 51 and 52)
(a) Give the equation for orbital speed. (b) Calculate the orbital speed of
Mercury around the Sun. [Mercury orbital radius = 58 million km; orbital
time = 88 days]. (see page 54)
(a) What is the ‘Milky Way’? (b) What is a galaxy? (c) How many galaxies
are there in the Universe? (see page 55)
Answer the questions on page 56.
Verify that you can do all of the items listed in the end of chapter checklist
on page 56.