Lecture Notes

Arny Chapter 7

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We will not cover section 7.3.

Chapter 7 - Survey of the Solar System
Due to lack of time, we will spend only one day covering the solar system.
That's the bad news, the good news is chapter 7 is a single chapter summarizing the solar system, perfect for us.
Some of the material we've already learned or will learn in lab.

Planets all orbit the Sun in the same direction, as do most of the asteroids and comets.
The solar system formed from a giant cloud of gas and dust, gravity and spin shaped that cloud into a disk; that explains the shape and orbits of the solar system.
More about this later.

The planets (ignoring Pluto) form two distinct groups or families:
Inner rock and metal planets.
Outer gas giant planets.

The Sun and planets all appear to have been formed about 4.5 billion years ago.

Section 7.1 - Components of the Solar System

The Sun:
More than 700 times more mass than the rest of the solar system combined!
71% H, 27% He, + heavier elements
(Note: H (hydrogen) and He (helium) are the two lightest elements.)
The Sun is about 10 times bigger than Jupiter which is roughly 10 times bigger than the Earth (a million times larger than the Earth in terms of volume).
[See figure 7.1 on page 217.]


Inner or Terrestrial Planets:

[See figures 7.2, 7.3, and 7.8.]
Earth, Venus, Mars, Mercury, and the Moon (from largest to smallest) are all similar.
All are in the inner part of the solar system.
They are all small (compared to other planets and the Sun), from 6378 km in radius (Earth) to 1738 km (Moon).
All are made of rock and metal.



How can we determine what planets are made out of?

For the Earth, we can directly determine its composition.
We can dig holes and see - but deepest hole ever dug is just 12 km.
Volcanic eruptions can reveal something about interior composition.
We can use "seismic studies" to determine interior properties (basically the way earthquake waves reflect, bend, and move through the interior reveals much about composition).
But these methods do us little good for studying other planets.

Spectroscopy (chapter 3) can be used to determine the composition of atmospheres and surfaces of planets.
But what about the interiors?

Density is a convenient and easy way of estimating interior compositions.
Density (often written as the Greek letter rho) is mass divided by volume.



Example: (part of problem 1 of chapter 7)
Calculate the density of Venus given that the mass and radius of Venus are 4.87 x 10^
27 grams and 6051 kilometers, respectively. How does this compare with the density of rock (about 3 grams per cm^3) and water (1 gram per cm^3)? (Note: Be sure to convert kilometers to centimeters if you are expressing your answer in grams per cm^3.)

Solution:
Mass M = 4.87 x 10^
27 g
Radius R = 6051 km (1000 m / 1 km) (1 cm / .01 m) = 605,100,000 cm
[Densities are usually expressed in units of g/cm^
3, and it's usually easier to do the conversions before plugging the numbers into the formulas.]
Volume V = (4/3) pi R^
3 = 9.28 x 10^26 cm^3
Density M/V = (4.87 x 10^
27 g) / (9.28 x 10^26 cm^3) = 5.25 g/cm^3

What does this mean?
Ordinary ices and liquids have densities around 1 g/cm^
3.
Ordinary rocks have densities of about 2 to 4 g/cm^
3. Average 3 g/cm^3.
Common metals have densities around 8 g/cm^
3.

Half-way between 3 and 8 is 5.5, nearly the density of Venus.
You could come up with other possibilities but this simplest guess is believed correct.
Venus is composed of about half rock and half metal.




It is easy to do these density calculations for all the planets.

 Planet Density Composition
Mercury 5.43 g/cm^3 half rock, half metal (60% met)
Venus 5.25 half rock, half metal
Earth 5.52 half rock, half metal
Moon 3.34 mostly rock, a little metal
Mars 3.93 80% rock, 20% metal
Jupiter 1.33 rock, metal core H liquid, gas
Saturn 0.69 Similar to Jupiter (more gas)
Uranus 1.32 Similar to Jupiter
Neptune 1.64 Similar to Jupiter




Outer or Jovian Planets:
[See figures 7.2, 7.3, and 7.8.]
Jupiter, Saturn, Uranus, and Neptune are all similar.
All orbit in outer part of solar system.
All are very large compared to inner planets, but small compared to the Sun.
[Jupiter radius 71,500 km, Sun is 696,000 km, Earth is 6378 km]
All have a core (center) of rock and metal (about the size of the Earth) surrounded by huge layers of mostly hydrogen (in liquid or gas form).
Outer planets are like an Earth with huge amounts of Sun-like (in composition) material poured on top.
All are orbited by many moons.

Asteroids:
Most are made of rock-type material, some are pure metal.
Small, maybe 10 km across on average.
Most orbit in the asteroid belt, located between the orbits of Mars and Jupiter.
Mars has two small moons that are probably captured asteroids.

Comets:
Mostly made of ice.
The most common liquids and ices in the solar system are

water (H20)
carbon dioxide (CO
2)
ammonia (NH
3) and
methane (CH
4).

Comets are small, typically 10 km across.

The Kuiper Belt is like the asteroid
belt, but of comet-like bodies.
The Kuiper Belt extends beyond the
orbit of Neptune.
[No good picture of this in the text,
picture a swarm of dots in a ring
shape stretching beyond Neptune.]
Pluto is actually the largest of these
Kuiper Belt Objects (KBOs), if we
had known about the Kuiper Belt
before discovering Pluto, it would
not have been called a planet.

Occasionally a KBO will be deflected
(by some near collision?) and fall into
a highly elliptical orbit.
When these objects pass close to the Sun, the ices evaporate away and create the long tails we associate with comets.

Kuiper Belt comets orbit in the ecliptic plane, in normal direction around Sun.
These become "short-period comets".

There appears to be a second reservoir of potential comets in the solar system.
The Oort Cloud is believed to be more than a trillion potential comets occupying a vast sphere (not a flat disk like the Kuiper Belt) far beyond the planets.
[See figure 7.6 on page 221.]
Some of these objects fall into the solar system and appear as comets as well.

Oort Cloud comets usually have orbits highly inclined, often retrograde (opposite to normal orbiting direction).
These are "long-period comets" (usually they come in and go out, not to return for maybe thousands of years).
Halley's comet came from the Oort Cloud but had a close encounter with a planet like Jupiter or Earth and now has a short-period (76 year) orbit.

Moons:
The inner planets have few or no moons.
The outer planets have many moons, like miniature solar systems.
Some moons appear to have formed in place around their planet, others appear to have been captured from elsewhere.

Section 7.2 Origin of the Solar System
We have discovered many patterns in the solar system.
Now we try to answer the questions posed by those patterns, namely

Why are inner planets all made of rock and metal?
Why are outer planets larger with lots of liquids and gases?
Why is there an asteroid belt?
Why is there an Oort Cloud?
and more.



The solar nebula hypothesis (or model).

Our Sun and solar system started 4.6 billion years ago.
A giant, cold gas cloud (a "nebula") composed of about 71% H, 27% He, + 2% heavier elements.

The cloud began to collapse due to gravity.
There is some evidence that the collapse was triggered by the supernova explosion of a nearby, now long gone, star.
Gravity pulls things together.
When I let go of this eraser, gravity pulls it and the Earth together.
The eraser gains energy as it falls, the energy becomes heat and sound when the eraser hits the floor.
The infalling material heats up, a hot nebula.

The nebula probably had a slight rotation to begin with, maybe because it is part of the larger rotating Milky Way galaxy.
As the nebula contracted in size, its spin increased.

Material in the disk is moving correctly to orbit the center.
Material above or below the disk is pulled inward.
The cloud, which began spherical, is shaped into a disk (pancake shape) by the rotation and gravity.
See figure 7.10 on page 226.
Most of the cloud's material fell into the center forming a single large object that became our Sun.

Things are starting to get explained!
That most of the material fell into the center explains why the Sun is so much larger than any planet.
The disk shape of the cloud explains why all the planets ended up orbiting in the same plane.
The original cloud's rotation explains why the planets orbit the Sun all in the same direction that the Sun rotates.

So we have a central Sun
surrounded by hot, circula-
ting gases.
Gas will be much hotter
closer to the Sun (material
which fell in further and is
now being warmed by Sun).
See figure 7.13 on page 229.
Hot close to Sun, cooler further out.

The contracting gases got very hot.
But the orbiting gases will now
start to cool off.
As the gas cools, particles can condense.
The particles slow down and stick together to form solids.
Like water condensing to form dew when moist air is cooled or steam condensing into drops of water on surfaces.

Metals condense when the temperature drops below about 1300K.
Rocks condense when the temperature drops below about 1000K.
Ices (H
20, NH3, CH4, CO2, ...) condense at temperatures below 300K.
Gases (H, He) only condense if the temperature goes below a frigid 50K.

Near the Sun it was hot; only rock and metal condensed.
The other elements remained as gases.

Far from the Sun it was cooler; rocks, metals, and ices all condensed.
But not cold enough for H and He gases to condense.

The condensed particles (similar to snowflakes) start to stick together to form boulders, this is called accretion.
Further accretion builds up mountain-size objects, typically 10 km across.
These are called planetesimals ("little planets").
Gravity pulls planetesimals together to form planets.
Violent collisions cause the newly-formed planets to be very hot.
The hot planets undergo differentiation, heavier elements sinking to centers of the planets.
This is why the Earth and other planets tend to have the heavier metals in their core and lighter rocks and ices towards the surface.

We've explained so much more...
The inner solar system was full of rock and metal planetesimals.
So rock and metal planets formed in the inner solar system.

The outer solar system was filled with rock, metal, and ice planetesimals.
More ice than rock and metal because ice made of more common elements.
The outer planets and moons are made more of ice than rock and metal.

Because there were more planetesimals, larger planets formed in the outer solar system.
The planets got so large that they could suck in and hold onto the H and He gas around them.
This explains how outer planets got so large and it explains their composition.

The Jovian planets controlled the gas around them like the Sun controlled the gas around it.
Thus we can understand also how the giant planets ended up with many moons looking like miniature solar systems.

All of this occurs in maybe just a few million years.
Then the Sun got going, the light and particles from the Sun (the "solar wind") pushes all the remaining gas and dust out of the solar system.
No more planetesimals can form.

Not all the planetesimals were used up in forming planets (and moons).
What happened to the leftover planetesimals?
They would continue to orbit the Sun, perturbed occasionally by planets, until
* crash into the Sun
* crash into a planet or moon causing a crater (the craters covering the planets and moons are a testament to this, see figure 7.14 on page 231).
* were captured as a satellite (small moon)
* found a safe orbit
Asteroids are inner solar system planetesimals which have survived until today, prevented from pulling together into a planet due to interference from nearby Jupiter's gravity.
Asteroids are very interesting, they're the leftover raw material from which planets like the Earth were formed.
The Kuiper Belt is a haven for outer solar system planetesimals.
The Asteroid Belt and Kuiper Belt are locations where planetesimals could orbit safe from planetary perturbations.
* were deflected out of the solar system
This is largely the origin of the Oort Cloud, comets (planetesimals) thrown out of the solar system by gravitational encounters with large planets.

There may have been more planets early on then there are now.
There may have been titanic collisions between planets and moons.
But even that can explain features found in the solar system:

It is believed that our Moon was once a Mars-size planet that collided with the Earth!
Part of that object rebounded in the collision and settled into orbit as our Moon.
[Discussed in the text in section 6.4, see figure 6.15 on page 200.]

Venus rotates backwards from the direction the other planets rotate (the other planets all rotate in the same direction they orbit the Sun).
Venus seems to be "upside-down".
This may have occurred because of some huge collision.

Other mysterious discoveries in the solar system can also be explained as being the result of such collisions.

< ** Lecture Usually Ends Around Here ** >

Planetary Atmospheres
The giant planets have so much gravity that they can hold onto anything that comes their way.
They have the same "atmosphere" they've always had, an outer layer of mostly hydrogen gas.

Mercury (and the Earth's Moon) have no atmosphere, both for the same reason.
They are fairly small and have low escape velocities.
Any atmospheric gases are heated enough by the Sun that they can escape those planets.

For the Earth, Venus, and Mars, lighter gases (which tend to move faster) like H and He can escape into space.
The actual composition of the atmosphere can be due to a combination of effects:
Original gases when formed.
Gases from the planet's interior, volcanic vents and the like.
Gases delivered from outside, like colliding comets.
And in the case of the Earth, there is a further processing of the gases by the life on Earth.

 

We are skipping section 7.3 although you may find it interesting reading.

End chapter 7.




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