ASTRONOMY
-
our Solar System, Telescopes, Planets, Satellites,
Stars and Galaxies
IGCSE AQA GCSE Physics Edexcel GCSE Physics OCR GCSE
Gateway Science Physics OCR GCSE 21st Century Science Physics
Doc Brown's school physics revision notes: GCSE
physics, IGCSE physics, O level physics, ~US grades 8, 9 and 10
school science courses or equivalent for ~14-16 year old students of
physics
How has the explanation, theory and model of
the Solar System evolved through time?
Explain the usefulness of telescopes and
photography - observing the Solar system and the cosmos in general with visible
light.
How has astronomy changed over the centuries?
Sub-index for this page
(a)
A history of models of our Solar System
(b)
Our
contemporary model of our Solar System and beyond
(c)
Methods of astronomical observation - types of telescope
(d)
More notes on the
objects in our Solar System - definitions explained
(e)
The
physics of circular motion and the forces involved in solar and planetary systems
(f)
More on natural and artificial
satellites - their orbits and uses
(g)
Typical learning objectives and knowledge for the
contents of this page
Appendix 1.
The phases of
the Earth's moon
Appendix 2.
The seasons of
the Earth
See also
Cosmology - the Big Bang Theory of the Universe
and the
Life Cycle of Stars for more detailed
notes
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(a) A history of models of our Solar System
The ideas about the structure of the Solar System have changed
over time, including the change from the geocentric to the heliocentric models
and the discovery of new planets.
The geocentric model theory
The sun, moon,
planets, and stars i.e. everything you could see, all orbited the Earth in a series of
concentric circles.
So the Earth was considered to
be the centre of everything in the Solar System.
An orbit is the path one
object moves around another object (held in orbit by gravity).
They also considered the orbits
to be perfect circles.
This model originates from ancient Greek
civilisation 2000-2500 years ago and lasted for 1500-2000 years.
Ancient astronomers didn't have
telescopes to make accurate observations to test out any other model.
What they observed was the Sun and
moon moving across the sky in the same way every day and every night and
assumed they moving in a perfect circle around the Earth.
They did observe the apparently
wandering of the planets - the word planet comes from an ancient Greek
meaning 'wanderer', but this did not lead to a questioning of the
geocentric model
Prior to ~1500s this was the accepted
model of the Universe from the time of the ancient Greeks.
The
heliocentric model
From the 1500s onwards and with the
help of telescopes, evidence was mounting up to indicate that the
planets were orbiting the Sun - the heliocentric
model, but not in perfect circles.
The Sun is now considered to be
the centre of our solar system.
We now recognise that the Earth and other planets
are moving around our Sun in elliptical orbits.
Initially the Sun was considered as
the centre of the Universe, but of course we now know it is now only the
centre of our solar system.
Astronomers such as Copernicus working in
the mid-16th century, were making observations and calculations to explain
the movement of the planets without the geocentric model and that a
heliocentric model fitted the data better.
Copernicus published his heliocentric theory
and calculations in 1543, just in time, two months before his death!
Galileo’s observations of Jupiter, using the telescope,
provided evidence for the heliocentric model of the Solar System - initially it
provided evidence that not everything revolved around the Earth.
Galileo, in the early 17th century, working
with the newly invented telescope, found his view of the 'universe' in
conflict with that of the Catholic Church, especially after discovering
moons orbiting around the planet Jupiter, which meant not everything orbited
the Earth and the geocentric model was flawed.
One piece of Galileo's evidence
came from observing the moons moving around Jupiter with his newly
invented improved telescope of 1609, he therefore observed objects
moving around with Jupiter, which clearly could not be moving around
planet Earth.
Initially Galileo thought four
stars were surrounding Jupiter, but he figured out they were moons
of Jupiter because of their movement - they moved along with Jupiter
and were observed in different positions around it - therefore
showing that all 'heavenly' bodies were not moving around the Earth.
The Catholic Church was not too
impressed by a scientific model challenging the religious view of how our 'universe'
works.
Over the following centuries more
evidence for the heliocentric model increased, helped by the
technological advances in astronomy eg improved telescope designs.
From the early 20th century
onwards, it was recognised that our solar system is just one of
billions of systems with a central star in a galaxy and that there
are billions of galaxies that make up everything - the Universe!

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and sub-index
(b) Our
contemporary model of our Solar System and beyond
The 8 major planets, minor planets and asteroids orbit the Sun in slightly
elliptical orbits (our 'Solar System'), but our Sun is just one of
millions-billions of stars in our galaxy (we see part of it as the 'Milky
Way') and in turn the observable universe itself contains billions of other
galaxies.
(a) Our
Solar System - the Sun (a
main sequence star) and 8 orbiting major planets, and minor planets and asteroids.
The movement of the planets and asteroids
has been observed from visible light (reflected sunlight) for thousands of
years, initially with the naked eye and from the early 16th century onwards,
with telescopes.
8
major PLANETS |
Distance from Sun in Mkm |
Mass relative to Earth |
Surface gravitational field constant in m/s2
or N/kg |
Size relative to Earth |
Time to orbit Sun (days or years) |
Axis rotation time |
Average surface temperature
oC |
Mercury |
58 |
0.05 |
3.7 |
0.4 |
88 d |
58.6
d |
+350 |
Venus |
108 |
0.8 |
8.8 |
0.9 |
225 d |
242
d |
+480 |
Earth |
150 |
1 |
9.8 |
1 |
365 d |
24 h |
+22 |
Mars |
228 |
0.1 |
3.8 |
0.5 |
687 d |
24.7
h |
-23 |
Jupiter |
778 |
318 |
25 |
11 |
12 y |
9.8
h |
-153 |
Saturn |
1430 |
95 |
10.5 |
9.4 |
29 y |
10.8
h |
-185 |
Uranus |
2870 |
15 |
10.4 |
4 |
84 y |
17.3
h |
-214 |
Neptune |
4500 |
17 |
12.8 |
3.8 |
165 y |
16 h |
-225 |
Pluto (dwarf planet) |
5915 |
0.003 |
0.49 |
0.2 |
248 y |
153
h |
-236 |
The force of gravity
Generally speaking the
gravitational field constant at the surface of a planet increases
with its mass.
The gravitational constant of our
Moon is 1.7 m/s2 or 1.7 N/kg.
The gravitational constant of our
Sun is 293 m/s2 or 293 N/kg.
The strength of the gravitational
pull decreases the further you are from the centre of the planet
(the attractive force decreases according to an inverse square law:
force
1 / distance2)
With modern techniques, the Sun, at
the centre of our Solar System, can be
observed by detecting emissions in various regions of the electromagnetic
spectrum eg infrared, visible light, ultraviolet, X-rays and even gamma ray
emissions.
Orbital paths
The orbits are not quite perfect
circles, but slightly 'squashed' into an elliptical shape.
The Earth is the 3rd planet from
the Sun - see above data table on the planets.
The Sun is ~150 million km away
from us and sunlight takes ~8 minutes to reach us.
Mercury, Venus, Earth and Mars
are the four inner planets, relatively small and consisting mainly
of rock.
The gas giant planets Jupiter,
Saturn, Neptune and Uranus have gases such as
hydrogen, ammonia, methane and carbon dioxide
their atmosphere, may have rocky cores?
(b) Our
Milky Way - is our view of looking through
our own galaxy
The name 'Milky Way' comes from the
profusion of bright starlight from our galaxy when you look through its
centre against the background of the relatively dark night sky.
Our solar system is just one small
part of a galaxy - which is a massive collection of billions of
stars held together by gravity.
The Milky Way rotates around the
central core of the galaxy and astronomers think there is a massive
black hole there.
Until relatively recently, the Milky Way
galaxy, has been observed with the naked eye and then telescopes on Earth,
but now it can be viewed through powerful telescopes on satellites eg the
Hubble Space Telescope.
Our galaxy, and for that matter distant galaxies,
can be continually observed using everything from giant radio telescopes,
huge optical\visible light telescopes to gamma ray burst detectors.
(c)
'Outer space'
and nebulae
Beyond the Earth and beyond our own
solar system and galaxy, it is far from being a vacuum of 'emptiness'.
Interstellar space (between stars)
contains huge clouds of dust and a mixture of gases, mainly hydrogen and
helium gases, but traces of lots of other molecules including organic
molecules.
These clouds are where stars are
formed and are called
nebulae.
A
nebula is an enormous cloud of dust and
gas occupying the space between stars and acting as a nursery for
new stars.
(d) The
Universe is everything -
see separate page
Cosmology - the Big Bang Theory of the Universe
The
cosmos is a term used to
describe the universe seen as a well-ordered whole.
A mathematics note on distances
- a sort of perspective on 'everything'!
The distance from planet Earth to the
Sun is 150 million kilometres.
150 Mkm, 150 000 000 km, and in
standard form 1.5 x 108 km.
The distance from the Sun to the
dwarf planet Pluto is 5915 million km.
5915 Mkm, 5 915 000 000 km, in
standard form ~5.9 x 109 km.
The diameter of our galaxy, the
'Milky Way', ~1 000 000 000 000 000 000 km, in standard form ~1.0 x 1018
km.
Some derived calculations,
taking the speed of light to be 3.0 x 108 m/s.
Ex. 1. How long does it take
light to travel from the Sun's surface to the Earth?
speed = distance / time,
time = distance / speed
time = 1.5 x 108 x
1000 / 3 x 108 = 500 s, 8 minutes and 20 seconds.
Ex. 2. How long does it take light to
cross from one side of our galaxy to the other?
time = (1018 x 1000) /
3 x 108 = ~3.33 x 1012 s
1 Earth year is 365.25 x 24 x 60
x 60 = 31557600 s
time = 3.33 x 1012 /
31557600 = ~106 000 years!

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and sub-index
(c)
Methods of astronomical observation - types of telescope
Be able to compare
methods of observing the Universe using visible light, including the naked eye,
photography and telescopes.
In observing the night sky, the naked eye,
apart from aesthetic appreciation, has been largely replaced by photography,
usually coupled to a telescope.
However, historically, stars, planes,
comets, our Moon have all been successfully discovered, observed, mapped and
plotted via naked eye observations and astronomical tables of data
assembled.
Distant stars can be seen because they are
so hot and powerful emitters of electromagnetic radiation eg visible light.
Optical telescopes have much better light gathering
power than the naked eye and the lens and lens-reflecting mirror systems can
produced greatly magnified images and can peer into deep space totally
inaccessible to the naked eye.
Optical telescopes using
refracting convex lens were the earliest
types used to examine the 'universe'.
Optical telescopes using
reflecting mirrors were developed later, but do employ an eyepiece
lens.
Optical telescopes detect visible
light and convex refracting lenses or concave reflecting mirrors are
used in their construction - some telescopes use both lenses and mirrors.
To improve the quality of the image
you can increase the diameter of the objective lens - the primary
light gathering lens at the front end of the telescope.
The bigger the diameter of the
refracting objective lens (the larger the aperture) the more
light is collected to improve resolution - image quality.
The same argument applies to a
larger diameter mirror in a reflecting telescope.
You also get better resolution
the greater the optical quality of the lenses too - the
chemical composition of the glass refracting convex lens is another
important factor in image quality.
Angular resolution describes the
ability of any image-forming device such as an optical or radio telescope, a
microscope, a camera, or an eye, to distinguish small details of an
object, high resolution = a good image, low resolution = a poor image.
The basic design of a refracting telescope
The objective lens collects and
focuses the light onto the eyepiece lens.
The eyepiece lens position can be
adjusted to produce a clear focussed image on the eye, photographic
plate or photocell plus computer.
For mirror based reflecting
telescopes, you can increase the diameter of the concave mirror to
gather more light and improve the quality and resolution of the image.
Optical telescopes are limited to
visible light observations, so you need other types of telescopes.
For more on detecting
different EM radiations see the first section of my
Life Cycle of Stars
page.
Photographing the same patch of sky and
comparing images from one night to another can show up whether an object is
moving eg asteroid or comet or some new star appearing or an old star
exploding in a massive supernovae explosion,.
So, anything that changing that reflects or
emits visible light can be detected and by using long-time exposures you can
detect very faint very distant objects.
The result of all these historical and
continuing contemporary observations with telescopes of all kinds is to give
us a pretty good picture of the observable universe, even if we don't fully
understand how it all works!
Problems with observations and ways to
improve matters - image quality
The most obvious problems with the
use of optical telescopes is absorption of light by the Earth's
atmosphere and light pollution.
The Earth's atmosphere both
absorbs, refracts and scatters light from an astronomical source which reduces
the quality of the image - reduces resolution.
Reminder: Angular
resolution describes the ability of any image-forming device
such as an optical or radio telescope, a microscope, a camera,
or an eye, to distinguish small details of an object, so
high resolution = a good image and low resolution = a poor
image.
Light pollution comes from any
light source on the Earth's surface that emits light into the sky at
night eg from road traffic, office blocks, street lights etc., all
of which makes it more difficult to observe dim-faint objects in the
sky.
The 'twinkling' of stars, giving
an unstable image, is caused by incoming light refracting several
times in the Earth's atmosphere.
Air pollution eg
particulates/dust can also absorb or scatter light diminishing the
quality of ANY image.
All of these problems can be
considerably reducing by getting a telescope to operate high in the
atmosphere OR above the Earth's atmosphere completely.
Observatories using optical
telescopes can be sited high up on mountains in dark places
where the atmosphere is less dense (thinner), especially in remote
places where there is little pollution of any nature -
dust/particulates or artificial light sources.
The Hubble Space Telescope has
been put into orbit around the Earth acting just like satellite with
an adjustable optical telescope. Since it is above the atmosphere,
many of the problems of image quality described above are greatly reduced.
For any type of telescope, the larger
the size of the electromagnetic radiation collector, the greater the
resolution AND the farther you can look across the universe to the most
distant objects, and back in time too!
The lenses, mirrors or radio dishes
etc. of the telescopes are linked to powerful light detection systems
(eg. photocells rather than the naked eye), which in turn, are linked to
powerful computers to generate extraordinary detailed images
that can be analysed to help develop and test out astrophysics
theories.
How a reflecting telescope works
A reflecting telescope uses a concave mirror
A relatively large concave mirror collects as
much light as possible from distant astronomical object e.g. a star.
The collect light is reflected by a small
plane mirror at ~45o into an eyepiece or camera to record the image.
By means of a magnifying lens in the eyepiece
tube you can produce a clear focussed and greatly magnified image of the star.
Advantages over convex
collecting lens.
Atomic emission line spectroscopy - used by astronomers to identify
elements in stars
If
the atoms of an element are heated to a very high temperature in a flame they emit
light of a specific set of frequencies (or wavelengths) called the
line spectrum. These are all
due to electronic changes in the atoms, the electrons are excited and
then lose energy by emitting energy as photons of light. These emitted
frequencies can be recorded on a photographic plate, or these days a
digital camera.
Every element atom/ion has its own unique and particular set of electron
energies so each emission line spectra is unique for each element
(atom/ion) because of a unique set of electron level changes. This
produces a
different pattern of lines i.e. a 'spectral fingerprint' by which to
identify any element in the periodic table .e.g. the diagram on the left
shows some of the visible emission line spectra for the elements
hydrogen, helium, neon, sodium and mercury.
The surface of stars is so hot that all the atoms can potentially
emit their characteristic frequencies and from the frequency pattern an
element can be identified. This is an example of an
instrumental chemical analysis called spectroscopy and is performed using an instrument
called an optical spectrometer and is used to identify
elements in stars when attached to a telescope. |
Other electromagnetic radiation telescopes
Radio telescopes are used to detect
and study naturally occurring emissions from objects such as stars,
galaxies, quasars and black holes.
Fortunately, not all the
extraterrestrial radio waves are absorbed by the Earth's atmosphere, but
some are absorbed and others are reflected back into space by the upper
atmosphere - much depends on the wavelength of the radio waves.
The radio telescope can consist of a
large parabolic dish or large arrays of smaller signal receivers.
The electromagnetic (mainly radio)
emissions received, provide information that can be analysed to
understand the structure and functioning of these various astronomical
objects.
Radio telescopes are used to
detect the cosmic microwave background radiation which has
helped understand and test out theories of the origin of the
universe.
For radio astronomy, the shortest
wavelength of radio waves that can pass through the Earth's
atmosphere is 100 m.
Calculate the maximum frequency
of the shortest radio waves that can be detected.
(speed of 'light' = 3 x 108
m/s): v = f x λ * f = v / λ
= 3 x 108 / 100 =
3 x 106
Hz
X-ray telescopes are
very good for detecting very explosive high temperature events e.g.
exploding stars - supernova.
These extremely violent events
emit the highest energy electromagnetic radiations.
The advantages of computerised
telescopes
Most modern telescopes are linked to
computers and can do many tasks automatically and be programmed to make
a specific series of observations e.g. keep pointing at the same distant
object in the sky.
Computers can help to produce clearer
and sharper images and store them for later more detailed analysis.
They can collect and store huge
amounts of images 24/7 and easily process the data with an amazing speed
of analysis.
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and sub-index
(d) More notes on
the objects in our solar system - definitions explained
U
represents a sun (star) at the centre of a solar system.
X
or Z might
represent a planet.
Z
might also represent the path of a large asteroid.
Y
might represent a moon of plane = X
V
might represent a comet.
The Sun is our star at the centre of our
solar system.
A
sun forms the centre of a solar system and
generates its own visible light as a fraction of its enormous energy
release from nuclear reactions e.g. the fusion of hydrogen into helium.
A solar system is everything that
orbits our Sun (and everything that itself orbits anything orbiting the Sun
e.g. moons, asteroids, comets).
Our sun is ~98% of all the mass of
our solar system.
Objects orbiting the Sun are held in
their circular or elliptical orbits by the force of gravity - the
gravitational field force that attracts one object to another.
It decreases (gets weaker)
significantly, the greater the distance between the two centres of the
objects attracted to each other.
Gravity decreases proportionately
to 1 / d2, where d = distance between centres of
the objects.
A
planet is
the largest type of body that orbits a
star - 8 major ones orbit our Sun (a star called Sol).
A planet cannot produce its own
visible light - they are seen from the reflected light of its star.
Moons are natural satellites of a
planet - Earth just has the 'Moon', other planets in our solar system
have many moons.
There are eight planets in our solar
system - listed in the table below in order of distance from the Sun.
A
true planet may be
defined has having the following properties-criteria:
It must orbit a star (e.g. our
Sun).
It must be big enough to have
enough gravity to force it into a spherical shape.
It must be big enough that its
gravity has 'pulled in' and cleared away any other objects except for
its natural satellites.
8
major PLANETS |
Distance from Sun in Mkm |
Mass relative to Earth |
Size relative to Earth |
Time to orbit Sun (days or years) |
Axis rotation time |
Average surface temperature
oC |
Mercury |
58 |
0.05 |
0.4 |
88 d |
58.6
d |
+350 |
Venus |
108 |
0.8 |
0.9 |
225 d |
242
d |
+480 |
Earth |
150 |
1 |
1 |
365 d |
24 h |
+22 |
Mars |
228 |
0.1 |
0.5 |
687 d |
24.7
h |
-23 |
Jupiter |
778 |
318 |
11 |
12 y |
9.8
h |
-153 |
Saturn |
1430 |
95 |
9.4 |
29 y |
10.8
h |
-185 |
Uranus |
2870 |
15 |
4 |
84 y |
17.3
h |
-214 |
Neptune |
4500 |
17 |
3.8 |
165 y |
16 h |
-225 |
Pluto (dwarf planet) |
5915 |
0.003 |
0.2 |
248 y |
153
h |
-236 |
Exoplanets
are planets that orbit another sun in another solar system beyond
ours e.g. in our own galaxy or some even greater distanced galaxies.
Dwarf planets (minor planets)
These objects do not meet the
current criteria for 'major' planets - usually because they are not big
enough.
A dwarf planet must be spherical
and orbit a star but due to a weaker gravity field, has been unable
to clear other large objects near its own orbit.
Pluto is now classed as a dwarf
planet - it just isn't big enough!
Pluto has a moon called
Charon that is half Pluto's radius (and 1/8th mass of Pluto) orbiting it,
plus at least four other moons.
Another reason is that some
asteroids are bigger than Pluto and could also be classed as minor
planets!
Natural satellites - moons
A moon is a relatively large body of
material that orbits a planet - they are natural satellites and they
have almost circular orbits - actually very slightly elliptical.
We have one moon, Jupiter has dozens
and Galileo spotted some of them in 1610 with his new telescope!
A satellite can be defined as any
smaller object, due to its speed and resulting force of gravity, that
orbits a more massive object
Artificial satellites
Artificial
satellites are 'human-made' satellites that launched into
space to orbit a planet or one of its moons and they also have almost
circular orbit.
The orbit is designed so an
artificial satellite can perform a particular function.
More on artificial satellites in
the next section and why one object can orbit another in a steady cycle.
Asteroids
Asteroids are irregularly shaped
lumps of rock-metal that orbit the Sun and are found in the asteroid
belt between the orbits of Mars and Jupiter.
They vary considerably in size, from
a two metres to nearly a 1000 km, but are too small to be considered as
major planets - though the largest can be considered as minor/dwarf
planets.
It is not impossible for a huge
asteroid to collide with Earth e.g. the one of 11 to 81 km diameter that
created the impact crater in Mexico that is believed to have led to the
extinction of dinosaurs and the rise of the mammals like us!!!!
Meteors and meteorites
Meteors ('Shooting stars') are seen
when dust particles called meteoroids come down into the Earth's
atmosphere, due to the Earth's gravitational pull and 'burn-up' giving
out bright visible light due to the high temperature generated by
friction of the particles with the Earth's atmosphere.
Small meteor particles completely
burn up in the atmosphere, but larger ones fall to Earth as meteorites,
often consisting mainly of metal or mainly of stone - the largest known
weighed 100, 000 kg.
Most meteors and meteorites are
fragments of asteroids that have somehow broken out of the asteroid belt
due to a collision and hurtle round the Sun in their own very elliptical
orbits. They can also be bits of a comet.

In the Ulster Museum, Belfast, is a
meteorite of nickel and iron, perhaps once part of the metal core of a planet?
Comets
Comets are 'cosmic snowballs' of
frozen gases, rock and dust that orbit the Sun.
Their orbits are often highly elliptical
and some can
travel from near the Sun to the outer regions of our Solar System and back!
Unlike the planet orbits, which are
all in a narrow plane, comet orbits are at all sorts of angles with
respect to the plane of our solar system.
When a comet's orbit brings it near
the Sun, it heats up and pours out dust and gases into a huge giant
glowing head larger than most planets. The dust and gases form a tail
that stretches away from the Sun for millions of miles!
You should realise there is quite an
'overlap' between asteroids, meteors, meteorites and comets!
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(e)
The
physics of circular motion and the forces involved in solar and planetary systems
Velocity is a vector quantity, it has both
size/magnitude (the
speed) and direction (a reference angle).
If either the speed or direction changes, you have a
change in velocity.
If you
have a continually changing velocity, you have an acceleration!
SO, What velocity are we dealing with? What force are we
dealing with? in terms of one object in circular motion around another
object due to a gravitational field?
So, how do we explain the circular
motion of the objects illustrated above!
To keep a body moving in a circle there must be a force
directing it towards the centre.
This may be a moon or satellite around a
planet or a planet around a star - all apply to planet Earth.
This force is called the centripetal force and produces the continuous change in direction
of circular motion - which means constantly changing velocity of the moon or
planet etc.
Even though the speed may be constant, the object is
constantly
accelerating because the direction is constantly changing via
the circular path - i.e.
the velocity is constantly changing (purple arrows, on the diagram).
For an object to be accelerated, it
must be subjected to a force that can act on it.
Here the resultant centripetal force
of gravity is acting towards the centre, so always directing the
object to 'fall'
towards the centre of motion (blue arrows on the diagram).
But the object is already moving, so
the force of gravity causes it to change direction - speed is
constant, but change in direction means acceleration is taking
place.
In other words the object keeps on
accelerating towards the object it is orbiting and the instantaneous
velocity, at right angles to the acceleration, keeps the object moving
in a circle.
SO, the actual circular path of motion is determined by
the resultant centripetal force (black arrows and circle) ...
... and the circling object keeps
accelerating towards what it is orbiting!
The centripetal force stops the
object from going off at a tangent in a straight line.
The centripetal force will vary with the mass of the objects
in question and the radius of the path the object takes around the other.
You can argue that the path of a
given object in a stable constant orbit depends on its distance from the
object it orbits and the strength of the gravitational field it
experiences.
Summary of the 'rules'
You need to check the text below with the diagram above!
To keep an given object in a
stable orbit (moving at constant speed), the faster it moves or the
smaller the orbital radius, the greater the gravitational centripetal
force needed. See the pattern for the planets of our solar system.
If the speed of an orbiting object
changes the orbital radius must also change.
If an orbiting object
initially slows down it is pulled by the gravitational
centripetal force into an orbit of smaller radius and increases
in speed.
Satellites at lower heights
above the Earth may experience tiny friction effects from the
upper atmosphere. Eventually this causes the satellite to slow
down and move to a lower orbit. Ultimately the satellite may be
drawn into a higher speed orbit lower in the atmosphere and burn
up from the heat of friction. This is sometimes done
deliberately to 'safely' remove a defunct satellite.
Conversely, If an object
initially speeds up, it partially overcomes the centripetal
gravitational force moves to a higher orbit of greater radius, but
then it slows down in a larger radius stable orbit.
In positioning a satellite
via a 'transporter' rocket, it must be given the correct
velocity to go to the right height and with the right speed into
the desired stable orbit or specified radius.
We can now apply these ideas to the
three situations described below.
P = planet, m = moon
1. Circular motion - velocity & centripetal force
for a moon or a satellite around a planet
P = planet, S = Sun
2. Circular motion - velocity & centripetal force
for a moon around a planet
3.
Artificial satellites
- see the separate section.
The planets move around a star in almost
circular orbits e.g. planet Earth travelling round the Sun once a year.
The same force of gravity keeps a
moon orbiting a planet e.g. our Moon orbiting the Earth.
The same arguments on circular motion apply to the movements
of planets around a sun, a moon around a planet and a satellite orbiting a
planet.
The orbits are usually elliptical, rarely a perfect circle, but the
physics is the same.
In these cases, it is the force of gravitational attraction
that provides the centripetal force and it acts at right angles to the
direction of motion.
You should also realise that they are moving through empty
space (vacuum), so there are no forces of friction to slow the object down.
This is why the planets keep going around
the Sun and the moon keeps going around the Earth.
The pattern in the size of a planet's
orbit around a star
8
major PLANETS |
Distance from Sun in Mkm |
Mass relative to Earth |
Size relative to Earth |
Time to orbit Sun (days or years) |
Axis rotation time |
Average surface temperature
oC |
Mercury |
58 |
0.05 |
0.4 |
88 d |
58.6
d |
+350 |
Venus |
108 |
0.8 |
0.9 |
225 d |
242
d |
+480 |
Earth |
150 |
1 |
1 |
365 d |
24 h |
+22 |
Mars |
228 |
0.1 |
0.5 |
687 d |
24.7
h |
-23 |
Jupiter |
778 |
318 |
11 |
12 y |
9.8
h |
-153 |
Saturn |
1430 |
95 |
9.4 |
29 y |
10.8
h |
-185 |
Uranus |
2870 |
15 |
4 |
84 y |
17.3
h |
-214 |
Neptune |
4500 |
17 |
3.8 |
165 y |
16 h |
-225 |
Pluto (dwarf planet) |
5915 |
0.003 |
0.2 |
248 y |
153
h |
-236 |
Our 8
major PLANETS |
Distance from Sun in Mkm |
Time to orbit Sun (days or years) |
Mercury |
58 |
88 d |
Venus |
108 |
225 d |
Earth |
150 |
365 d |
Mars |
228 |
687 d |
Jupiter |
778 |
12 y |
Saturn |
1430 |
29 y |
Uranus |
2870 |
84 y |
Neptune |
4500 |
165 y |
Pluto (dwarf planet) |
5915 |
248 y |
The closer an object is to the object
it is orbiting, the stronger the gravitational force of attraction.
The stronger the gravitational force
of attraction, the faster the object must move in order to avoid
crashing into the object it is orbiting.
For any object in a stable orbit, the
radius of the orbit must match the speed the object is travelling.
Faster moving objects must move in
a smaller radius to have a stable orbit.
If the speed changes for some
reason, the radius must change too.
You can see clearly that the further
the planet is for the Sun (our star) the longer it takes for that planet to
orbit the Sun once (relevant data highlighted in bold).
This means, the further out the
planet is from the Sun, the slower it is moving AND in a larger radius
circle with respect to the Sun as its centre - to move in a stable
orbit.
Orbiting objects (planets/moons) -
summary of the connection between gravity, mass and radial distance (size)
of the orbit.
The gravitational field strength
depends on the mass of the object creating the field.
The larger the mass of the object,
the stronger the gravitational field e.g. Jupiter > Earth > our
Moon
The gravitational field strength
experienced by an orbiting object, also varies with its distance from
the object it is orbiting.
The stronger the force an orbiting
object experiences, the greater the instantaneous velocity needed to
balance it e.g. to keep it in stable orbit.
Therefore the closer a planet is to a
star or a moon to a planet, the faster the orbiting object must travel
to stay in orbit.
To have a stable orbit, the object
must have a speed that matches the gravitational 'pull' at a particular
radial distance from the object it orbits.
The smaller the radius, the
faster the object must travel to have a stable orbit.
Our 8
PLANETS |
Distance from Sun in Mkm |
Relative speed km/s |
Time to orbit Sun |
Mercury |
58 |
47.9 |
88 d |
Venus |
108 |
35.0 |
225 d |
Earth |
150 |
29.8 |
365 d |
Mars |
228 |
24.1 |
687 d |
Jupiter |
778 |
13.1 |
12 y |
Saturn |
1430 |
9.7 |
29 y |
Uranus |
2870 |
6.8 |
84 y |
Neptune |
4500 |
5.4 |
165 y |
Pluto (dwarf planet) |
5915 |
?
<5.4 |
248 y |
I've already mentioned the
pattern in the distance of planets from our Sun and the speed they
are travelling at - as measured by the length of time for one orbit
of the Sun.
From the table you can see,
the further than planet is from the Sun, the slower the speed it
travels at.
You might think that there
would be greater variation e.g. between Mercury and Neptune, but
remember, the outer planets have a long way to travel in their
orbit!
Because the planets are moving at
different speeds, ancient astronomers had noted the varying
positions of the planets against the relatively constant positions
of real stars. They did not realise until later, that these
'wandering stars', as they called them, were actually what we now
know as planets orbiting a star (our Sun).
TOP OF PAGE
and sub-index
(f) More on natural and artificial
satellites - their orbits and uses
You can define a satellite as a smaller
object orbiting a larger object and is kept in orbit by the force of
gravity.
Natural satellites are those
objects that
occur naturally in a 'solar system' orbiting a planet.
e.g. our own moon orbiting the Earth,
the many moons of Jupiter.
Artificial satellites are those that we, with our technology,
put into orbit around our moon, the Earth or our other fellow planets e.g.
Mercury, Venus and Jupiter.
When satellites are put into orbit they
are given just the right amount of horizontal velocity so that the resultant centripetal force of gravity keeps the satellite
accelerating in its a
circular orbit.
Reminder: Acceleration and
velocity are vector quantities.
The speed of a satellite may
be constant, but it is constant changing in direction, so the
velocity is constantly changing and change in velocity is
acceleration (in this context).
You can vary this horizontal velocity to
position satellites at different distances above the Earth's surface.
Most satellites we launch into space are those that orbit
our own planet Earth - diagram on right of geocentric orbits - an
orbit of anything orbiting the Earth (over 2000 artificial satellites
currently orbiting the Earth).
Satellites
in polar orbit (orbit 1 on diagram, actually should be lower than
orbit 2)
Satellite orbit 1 passes over (or near) both poles, one
after the other in its cycle, and is said to have a polar orbit. It
circles around the Earth at about 90o to the equator.
'Polar satellites' have relatively low
orbits and the Earth rotates under them.
The lower orbit means they have to have a
faster speed (physics above) than geostationary satellites (below) to stay
in orbit which may take as little as a few hours.
Because the orbit time is short and the
Earth rotates within the orbit, they can monitor the whole surface of the
Earth many times in every 24 hours.
Therefore satellites in polar orbit are
used for mapping the landscape, military surveillance (spying!) and producing weather
charts for weather forecasting.
Satellites in a geostationary orbit
(geosynchronous satellites) (orbit 2 on
diagram)
Satellite 2 travels around in the same direction as the
Earth's spin and at the same angular speed are moving in a geostationary
(geosynchronous) orbit.
Geostationary satellites have a high
orbit that takes ~24 hours to go round the Earth (e.g. at a height of 35786
km above the Earth's surface).
This means they keep a constant position
above the Earth's surface because they take exactly one day (23 hours
56 minutes) to complete one orbit.
These geosynchronous satellites are very
useful for continuous communications e.g. radio, telephone and TV
because you can point transmitters and receivers in their direction and they
are stationary relative to each other. Also, the signals can transmitted all
around the globe in a fraction of a second ~speed of light.
They are also used for astronomy e.g.
the Hubble space telescope producing amazing images of distant star
clouds and galaxies - technically it isn't in a geostationary orbit.
On a larger scale, the manned
international space station is effectively a giant satellite performing
all sorts of scientific functions.
Appendix 1. The phases of the Earth's moon
In sequence as the Moon orbits the Earth in 28 days.
Phases in sequence:
1. new moon, 2. waxing crescent moon,
3.first quarter moon, 4. waxing gibbous moon
5. full moon, 6. waning gibbous moon, 7.
third quarter moon, 8. waning crescent moon
Appendix 2. The
seasons of
the Earth
The different seasons on Earth, occur because its
spin axis is tilted ~21o
Position 1 corresponds to the autumn equinox in the
northern hemisphere.
Equal hours of night and daylight.
Spring equinox in the southern hemisphere.
Position 2. corresponds to mid-winter in the
northern hemisphere.
Spin axis tilted away from the sun, so
reducing the intensity of sunlight and shorter length of
daylight.
Mid-summer in the southern hemisphere, spin
axis tilted towards the sun.
Position 3. corresponds to the spring equinox in
the northern hemisphere.
Equal hours of night and daylight.
Autumn equinox in the southern hemisphere.
Position 4. corresponds to mid-summer in the
northern hemisphere.
Spin axis tilted towards the sun, so
increasing the intensity of sunlight and longer length of
daylight.
Mid-winter in the southern hemisphere, spin
axis tilted away from the sun.
Apart from the Earth's rotation giving the rising
and setting sun and the arced path in between, the position of the
sun in the sky is also influenced by the tilt of the Earth's spin
axis.
Path 1 of the sun represents mid-winter in the
northern hemisphere, shortest daylight time.
Path 2 of the sun represents its path at the
equinoxes.
Path 3 of the sun represents mid-summer in the
northern hemisphere, longest daylight time.
See also
Cosmology - the Big Bang Theory of the Universe and the
Life Cycle of Stars for more detailed
notes
TOP OF PAGE
and sub-index
(g) Typical learning objectives and knowledge for the
contents of this page
- Be able to describe how ideas about the structure of the Solar System have changed
over time, including the change from the geocentric to the heliocentric models
and the discovery of new planets.
- The geocentric model: The sun, moon,
planets, and stars ie everything, all orbited the Earth in a series of
concentric circles.
- This model originates from ancient Greek
civilisation 2000-2500 years ago and lasted for 1500-2000 years.
- The
heliocentric model: The Earth and other planets orbited our sun -then
considered as the centre of our universe.
- Astronomers such as Copernicus working in
the mid-16th century, were making observations and calculations to explain
the movement of the planets without the geocentric model and that a
heliocentric model fitted the data better.
- Copernicus published his heliocentric theory
and calculations in 1543, just in time, two months before his death!
- The Catholic Church was not too impressed by
the scientific model challenging the religious view of how our 'universe'
works.
- Our
contemporary model: The 8 major planets, minor planets and asteroids orbit the Sun in slightly
elliptical orbits (our 'Solar System'), but our Sun is just one of
millions-billions of stars in our galaxy (we see part of it as the 'Milky
Way') and in turn the observable universe itself contains billions of other
galaxies.
- Be able to show an understanding of how
scientists use waves to find out information about our Universe, including:
- a)
the Solar System - the Sun and orbiting planets and asteroids
- The movement of the planets and asteroids
has been observed from visible light (reflected sunlight) for thousands of
years, initially with the naked eye and from the early 16th century onwards,
with telescopes.
- With modern techniques, the Sun can be
observed by detecting emissions in various regions of the electromagnetic
spectrum eg infrared, visible light, ultraviolet, X-rays and even gamma ray
emissions.
- b) the Milky Way - the view looking through
our own galaxy
- Until relatively recently, the Milky Way
galaxy, has been observed with the naked eye and then telescopes on Earth,
but now it can be viewed through powerful telescopes on satellites eg the
Hubble Space Telescope. Our galaxy, and for that matter distant galaxies,
can be continually observed using everything from giant radio telescopes,
huge optical\visible light telescopes to gamma ray burst detectors.
- Be able to discuss how Galileo’s observations of Jupiter, using the telescope,
provided evidence for the heliocentric model of the Solar System.
- Galileo, in the early 17th century, working
with the newly invented telescope, found his view of the 'universe' in
conflict with that of the Catholic Church, especially after discovering
moons orbiting around the planet Jupiter, which meant not everything orbited
the Earth and the geocentric model was flawed.
- Be able to compare
methods of observing the Universe using visible light, including the naked eye,
photography and telescopes.
- In observing the night sky, the naked eye,
apart from aesthetic appreciation, has been largely replaced by photography,
usually coupled to a telescope.
- However, historically, stars, planes,
comets, our Moon have all been successfully discovered, observed, mapped and
plotted via naked eye observations and astronomical tables of data
assembled.
- Distant stars can be seen because they are
so hot and powerful emitters of electromagnetic radiation eg visible light.
- Telescopes off much better light gathering
power than the naked eye and the lens and lens-reflecting mirror systems can
produced greatly magnified images and can peer into deep space totally
inaccessible to the naked eye.
- Photographing the same patch of sky and
comparing images from one night to another can show up whether an object is
moving eg asteroid or comet or some new star appearing or an old star
exploding in a massive supernovae explosion,.
- So, anything that changing that reflects or
emits visible light can be detected and by using long-time exposures you can
detect very faint very distant objects.
- The result of all these historical and
continuing contemporary observations with telescopes of all kinds is to give
us a pretty good picture of the observable universe, even if we don't fully
understand how it all works!
- Be able to explain how the eyepiece of a simple telescope magnifies the image of a
distant object produced by the objective lens (ray diagrams are not necessary).
- Be able to describe how a reflecting telescope works.
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TOP OF PAGE
and sub-index
WAVES - electromagnetic radiation, sound, optics-lenses, light and astronomy revision notes index
General
introduction to the types and properties of waves, ripple tank expts, how to do
wave calculations
Illuminated & self-luminous objects, reflection visible light,
ray box experiments, ray diagrams, mirror uses
Refraction and diffraction, the visible light
spectrum, prism investigations, ray diagrams explained
gcse physics
Electromagnetic spectrum,
sources, types, properties, uses (including medical) and dangers gcse physics
The absorption and emission of radiation by
materials - temperature & surface factors including global warming
See also
Global warming, climate change,
reducing our carbon footprint from fossil fuel burning gcse
chemistry
Optics - types of lenses (convex, concave, uses),
experiments and ray
diagrams, correction of eye defects
The visible spectrum of colour, light filters and
explaining the colour of objects gcse physics revision notes
Sound waves, properties explained, speed measure,
uses of sound, ultrasound, infrasound, earthquake waves
The Structure of the Earth, crust, mantle, core and earthquake waves (seismic wave
analysis)
gcse notes
Astronomy - solar system, stars, galaxies and
use of telescopes and satellites gcse physics revision notes
The life cycle of stars - mainly worked out from emitted
electromagnetic radiation gcse physics revision notes
Cosmology - the
Big Bang Theory of the Universe, the red-shift & microwave background radiation gcse
physics
IGCSE
physics revision notes on astronomy our Solar System,
Satellites, Stars Galaxies cosmology IGCSE revision
notes on astronomy our Solar System, Satellites, Stars Galaxies cosmology KS4 physics Science notes on
astronomy our Solar System, Satellites, Stars Galaxies cosmology GCSE physics guide
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