1. Have a good mental “movie” of the collapse of the
solar nebula, and an understanding of what physical processes were important
during the collapse.
2. Have a good mental “movie” of the process of building
planets through accretion.
3. Understand how the solar nebula theory accounts for
the 4 challenges of our solar system.
Here’s a quick overview of
the layout of the solar system:
Motion of the planets in
their orbits:


Aside from planets, there are
also:
|
|
asteroids littered about,
but primarily in the asteroid belt between Mars and Jupiter |
|
|
comets, which mostly reside in the Kuiper
Belt (just beyond the orbit of Pluto, at about 40 AU) and the Oort cloud (probably at about 100 AU), which has not yet
been observed. |
?? Consider this overview of the solar system. How would you describe the general
properties of the solar system?
Any theory which explains the
formation of the solar system must at least account for 4 main challenges:
|
Large bodies in the solar
system have orderly motion. |
All planets and most
satellites have nearly circular orbits, in the same direction, and nearly in
the same plane. The Sun and most of
the planets rotate in the same directions as well. |
|
Planets fall into two main catelgories. |
Small, rocky terrestrial planets near the Sun and
large, hydrogen-rich jovian
planets farther out. The jovian planets have many moons and rings made of rock and
ice. |
|
Swarms of asteroids and
comets populate the solar system. |
Asteroids are concentrated
in the asteroid belt, and comets populate the regions known as the Kuiper belt and the Oort cloud. |
|
There are several important
exceptions to these trends. |
Planets with unusual tilts,
very large moons, or moons with unusual orbits. |
Based on these observations,
astronomers think that the best model for how the solar system formed is from
the collapse of an interstellar gas cloud.
There were other ideas about the formation of the solar system, but they
didn’t fit these four important characteristics.
There is other evidence that
we are on the right track. We now see protoplanetary disks around other stars.



What were the properties of
the cloud to begin with?
·
Large and diffuse, slowly rotating – it had some angular momentum.
This
property of the cloud primarily accounts for the motions of the planets. Why?
Think about momentum and energy…
·
Composed primarily of hydrogen and helium, but there must have been some heavier elements,
including metals, since we find them in the terrestrial planets for example.
This
property of the cloud will dictate how the planets ended up in two main
types. Think about phases of matter…
Elements heavier than lithium are formed only in
stars!
?? Consider the planetary masses listed
in Table E.1. Can you make a prediction
about how much of the gas cloud was heavy elements compared to hydrogen and
helium by making some simple assumptions?
The collapse is triggered by
an increase in density, and driven by gravity.
What do we mean by “collapse”?
During the
collapse…
1. The cloud’s
rotation rate increases, due to
conservation of angular momentum.
2. The cloud
heats up, as compressing the gas
cause the particles to speed up, increasing the
temperature of the gas and dust particles.
3. The disk of
gas and dust flattens, as collisions
between the particles of the cloud to lose energy in the direction perpendicular
to the cloud’s rotation.
So we can now account for one
of the four challenges: the orderly
nature of the orbits of planets in the solar system is due to conservation of
energy and angular momentum during the collapse of the gas cloud from which
they formed.
The direction of rotation is dictated by the angular momentum of the
cloud.
The inclination of the planets is due to the flatness of the nebular disk after
collapse.
Condensation
The nebula heats up during
the collapse. The densest, hottest part
of the nebula is at the center. As a
result of this, all material very near the protosun
existed in a gaseous state. As you move outward, the nebula is cooler. At different radii, the temperature is low
enough for certain materials to condense.
?? Why are there two types of planets, terrestrial and
Jovian?
A. The force of gravity due to the massive Sun draws the
heavier, dense material of the terrestrial planets closer.
B. Initial orbits of the terrestrial planets bring them
closer to the Sun where they fall into smaller orbits.
C. Near the Sun, only heavy elements and rocky material
can condense from the solar nebula.
D. Jovian planets form first and draw much of the gaseous
material to them via gravity, leaving only the heavier elements and rocky
material behind.
So beyond
the frost line, which lies between
the orbits of Mars and Jupiter, temperatures had dropped enough for ices such
as water, ammonia and methane to condense. Notice that these ices are
hydrogen rich, since there was plenty of hydrogen to go around out there.
?? Which of the
following pictures best describes the distribution of material in the solar
system?
Accretion
How to grow planetessimals:
·
Initially small
particles of gas and dust were able to stick together via their electrostatic
attraction.
·
As they grew larger,
their gravity began to be strong enough to attract particles as well, and their
growth accelerated.
·
Once large
enough, gravity pulls the planetessimal into a
spherical shape.
·
Once a planetessimal reaches a certain size (around 1 km) this
process really takes off and it begins to gravitationally dominate everything
around it.
We can now account for the
second important challenge of explaining our solar system, the division of
planets into two basic types.
Rocky, metallic material of
the terrestrial planets could condense nearer to the Sun than the ices. Hydrogen and helium gas remained gaseous
throughout the solar system.
Once accretion finished
building the seeds of the Jovian planets, their large
masses meant that their gravity was strong enough to accumulate large amounts
of the remaining nebular gases – i.e. the force of gravity of the planet was stronger than that
from the Sun at that point, so that the gas went from orbiting the sun to
orbiting the planet.
This process proceeded in
basically the same way as the nebular collapse which formed the solar system,
forming similar disks of material around the Jovian
planets. Some of the material
contributed to the planet, and some to satellite systems through accretion.
The solar wind is composed of
charged particles from the Sun’s hot (millions of degrees K) corona which carry
the Sun’s magnetic field.
We see evidence (T Tauri stars) that this solar wind is very strong in young
stars. Radiation pressure from the young
sun is also important – photons have momentum.
These effects work to clear
out the remaining gases, before they cool enough for ices to condense in the
inner solar system.
Once we understand the
process of accretion, the solutions to the last two challenges follow
naturally.
Asteroids and comets are leftover
planetessimals of terrestrial and Jovian
planets. The nebular theory predicts
that their compositions should be quite different, which they are: asteroids are mostly rocky with very small
amounts of ices, comets are “dirty snowballs”.
The early solar system must
have been full of planetessimals, so that there was a
period of heavy bombardment during
which impacts were very common. We have
direct evidence that some of these impacts involved large bodies, which may
have led to the exceptional situations in our solar system (e.g. the tipping
over of Uranus, the formation of Earth’s large moon).
How do we know the age of our
solar system?
We use a technique called radioactive dating.
We can apply this to many
different samples:
·
Earth rocks
·
Moon rocks
·
Meteorites
Some meteorites have not
changed since they were formed via accretion, and provide the most reliable age
of the solar system,
4.6 billion years.
Compared to the Universe
(10-15 billion years), that is not very old.
1. Collapse of the nebula and formation of the protoplanetary disk and protosun.
2. Condensation of planetessimals.
3. Accretion of planetessimals
to form planet seeds.
4. Formation of Jovian planets
through nebular capture.
5. The solar wind of young Sun clears away the remaining
gas.