Title: ASTR 330: The Solar System
1ASTR 330 The Solar System
Dr Conor Nixon Fall 2006
2ASTR 330 The Solar System
- Lecture 13
- The Moon
- and
- Mercury
Dr Conor Nixon Fall 2006
Photos Moon - John French, Abrams Planetarium,
Michigan State Univ. Mercury - NASA.
3ASTR 330 The Solar System
- Apparent Motion of Mercury
- What about epicycles and retrograde motion, and
do they just apply to the apparent motions of the
outer planets? - The answer is yes and no! Mercury and Venus also
exhibit retrograde motion, as illustrated in the
graphic below for Venus. Mercury is similar. - The only difference between the inner and outer
planets is that part of the retrograde path is
unseen, because the planet is in front of the Sun.
- In the Ptolemaic system (geocentric), epicycles
were used to explain the motion of Mercury,
including the direction reversals.
Dr Conor Nixon Fall 2006
Figure credit Geometry Technologies, Science
U.Com
4ASTR 330 The Solar System
- Due to its innermost position in the solar
system, Mercury never strays far from the Sun, as
seen from Earth.
- In fact, the largest possible angular separation
between the Sun and Mercury is 28 on the sky.
- Hence, Mercury is always seen near sunrise or
sunset.
Dr Conor Nixon Fall 2006
Figure credit Richard Pogge, Ohio State
5ASTR 330 The Solar System
- Mercurys period of orbit about the Sun, its
year was easy to observe and determine it is
88 Earth days long. - Much harder was to determine its rotational
period how long it takes to spin once on its
axis. - Until several decades ago, the only way to
determine this was to try to observe features on
the surface, and see how long they took to rotate
all the way around. - These observations appeared to show that Mercury
rotated once per orbit, i.e. its day and its year
were the same. - This is the same situation as the Earth-Moon
system. The Moons rotation is tidally locked
to its orbit about the Earth, and so we always
see the same face. Lets take a look at tides
Dr Conor Nixon Fall 2006
6ASTR 330 The Solar System
- Until now we have always been able to think of
planets as point masses the size was irrelevant
(see textbook Chapter 1 Question 1). - But the fact that planets are not point masses
is important. - Tides are caused by differential gravity, the
fact that the side of a planet towards a
companion is more strongly pulled than the side
away from the companion. - For a completely solid, rigid planet, tides
would have little effect. - But most solar system bodies have either some
liquid interior, or are flexible enough to deform
somewhat. - Lets look at the familiar tides between the
Earth and Moon.
Dr Conor Nixon Fall 2006
7ASTR 330 The Solar System
- Moon's Gravity Pulls Oceans - Near-side Bulge is
Easy to Understand - Moon and Earth actually orbit around the
Earth-Moon Center of Mass (about 1500 km beneath
the surface of the Earth) - Motion of Earth Around Center of Mass Creates a
Bulge on the Far Side of the Earth
Dr Conor Nixon Fall 2006
Figures and text Steve Dutch, Univ. Winconsin,
Green Bay
8ASTR 330 The Solar System
- Neap Tides
- First or Last Quarter
- Sun and Moon Pulling At Right Angles
- Lunar and Solar Tides Partially Cancel
- Unusually Small Tidal Range
- Spring Tides
- New or Full Moon
- Sun Moon Pulling in Parallel Directions
- Lunar and Solar Tides Add Up
- Unusually Large Tidal Range
Dr Conor Nixon Fall 2006
Figures and text Steve Dutch, Univ. Winconsin,
Green Bay
9ASTR 330 The Solar System
- Rotation and Friction Causes Tides to Lead Moon
- Bulge Pulls Moon, Throws into Larger Orbit
- Friction Slows Earth
- Precambrian (900 m.y.) Year 500 Days,
- Day 18 Hr.,
- Month 23.4 Days
- Cambrian (500 m.y.)
- Year 400 Days
- Day 22 Hr.
Dr Conor Nixon Fall 2006
Figures and text Steve Dutch, Univ. Winconsin,
Green Bay
10ASTR 330 The Solar System
- The fact that there is friction between the
tidal bulges of water, and the rotating seabed
underneath, dissipates huge amounts of energy
currently 2 billion horsepower (think 5 million
Corvettes!) - The pulling of the Moon on the nearest tidal
bulge causes the Earths day to grow longer by 20
secs per million years. - Part of the frictional energy goes into heating
the oceans and the Earths crust. - As the Earth slows its spinning, the Moon moves
farther away. This is due to conservation of
angular momentum for the Earth-Moon system think
of a skater stretching her arms and slowing down. - In the past, a Earth day was as short as six
hours, and a lunar orbit (month) was equivalent
to only one week (of 24-hour days).
Dr Conor Nixon Fall 2006
11ASTR 330 The Solar System
- The Moon currently keeps the same face always
towards the Earth called synchronous rotation. - This is not coincidence. Tidal damping by
flexing and energy dissipation in the Moons
crust slowed its rotation in the past. - When the Moon reached synchronous rotation with
respect to its orbital period, it stopped
slowing. - Synchronous rotation is a minimum energy
dissipation configuration, and hence is stable. - As the Moon gradually recedes from the Earth,
its rotation will slow further to match its
lengthening orbital period. - The same effect will eventually slow the Earth
until the same side always faces the Moon!
Dr Conor Nixon Fall 2006
12ASTR 330 The Solar System
- Synchronous rotation of Mercury?
- If Mercury was tidally locked to the Sun, like
the Moon to the Earth, it would be easy to
understand. - Because of the huge mass of the Sun, and the
proximity of Mercury to the Sun, a strong tidal
locking effect was expected. - Note that this would have a dramatic effect on
the surface temperature at various longitudes - On the Sun-facing side, it would be perpetual
daytime, and intensely hot. - On the dark side (a real dark side, not like
the Moon), it would be perpetual night, and
incredibly cold. - Everything was as expected, until
Dr Conor Nixon Fall 2006
13ASTR 330 The Solar System
- Radar determination of rotation
- In 1965, radar astronomy got seriously underway.
Radar techniques gave a second way to determine
the rotation period.
- A radar signal bounced off a rotating object
becomes more spread out (or broadened) in
frequency. The more broadening, the faster the
body is rotating (see section 8.2 of the book for
more details).
Dr Conor Nixon Fall 2006
Figure credit Nanjing University Astronomy
14ASTR 330 The Solar System
- The news from the radar astronomy team was
shocking Mercury actually spinned faster than 88
days, in fact, it took only 59 days to rotate! - How could such a huge difference be overlooked?
It turns out that Mercury is only in a good
position for observation every two orbits, i.e.
every 176 days. - Astronomers had seen the same feature in the
same place every 176 days. Synchronous rotation
was expected, and so everyone assumed that
Mercury had made two rotations. In fact, it had
made three! - So why the 59-day rotation, and not the 88-days
as we expect from tidal locking?
Dr Conor Nixon Fall 2006
15ASTR 330 The Solar System
- Elliptical Orbits and Tidal Locking
- The reason is Mercurys elliptical orbit
(e0.206). As in all elliptical orbits, Mercury
travels faster closer to the Sun, and slower
further out (Keplers Second Law equal areas in
equal times). - Unlike more circular orbits, this gives Mercury
a choice of which orbital speed to lock its
rotation speed to. - The strength of tidal forces is extremely
sensitive to the distance between the bodies
proportional to 1/D3, instead of 1/D2 as for
gravity. So, tides are much stronger for Mercury
when it is closest to the Sun (perihelion). - So, the tidal forces at perihelion dominated,
and locked Mercurys rotation to its fastest
orbital velocity, not its average orbital
velocity. Mercury hence has a 32 spin-orbit
coupling.
Dr Conor Nixon Fall 2006
16ASTR 330 The Solar System
- The 32 resonance leads to some curious effects
when we consider the concept of day. - If we use day to mean, not a single rotation
period, but the time from sunrise to sunrise, we
find that a Mercurian day is 176 Earth days, or
two Mercurian years long! Why? - The reason is due to the fact that Mercury, as
it spins on its axis, is also going around the
Sun. - By the time Mercury has spinned around once on
its axis, the planet has moved 2/3 of the way
around the Sun. The Sun is no longer where it was
(relative to the stars) 59 days before! - By the time Mercury catches up with the
elusive Sun, it has actually turned three times
around on its axis and two years have gone by.
Dr Conor Nixon Fall 2006
17ASTR 330 The Solar System
- Lets imagine we were standing at the red mark
on Day 1. - Day 29 half a rotation period. On the Earth we
would call it sunset. But on Mercury, it is only
late morning. - Now look at Day 58 by its rotation, we are
looking again at the same stars (1 sidereal day),
but the Sun is not rising, its late afternoon. - Sunset actually occurs on Day 89, and sunrise
again is not until Day 176.
Dr Conor Nixon Fall 2006
Figure credit ESO Education and Outreach Office
18ASTR 330 The Solar System
- The animation (left) shows the day and year of
Mercury. - Note that the red dot is facing the Sun when the
Sun is also closest (perihelion). - This is called a hot longitude. Because a
Mercurian day takes 2 years, there are two
different hot longitudes on either side of the
planet.
Dr Conor Nixon Fall 2006
19ASTR 330 The Solar System
- Imagine we were able to spend several years
living on the surface of Mercury. Depending on
which longitude we stayed at, we would see very
different sorts of days. - At a hot longitude, we would see
- The Sun would rise small, then grow in size as
mid-day approached. - Racing through perihelion, the Sun would
apparently hang motionless and large in the sky. - The Sun would then speed up as it sinks towards
sunset.
Dr Conor Nixon Fall 2006
20ASTR 330 The Solar System
- An observer at a cool longitude, 90 to either
side of a hot longitude, would see the exact
opposite - The Sun would be large and stationary near
sunrise and sunset. - At noon, the Sun would be small and moving
quickly. - On average, the temperature at a cool longitude
is 550 K, and 100 K more than that at the hot
longitudes!
Dr Conor Nixon Fall 2006
21ASTR 330 The Solar System
- Almost all our knowledge of Mercurys geology
comes from a single spacecraft Mariner 10. - Mariner 10 was the first spacecraft to
successfully use a gravity assist maneuver at one
planet (Venus) to reach another.
- Mariner 10 made 3 close flybys of Mercury in
1973 and 1974, confirming that Mercury had no
atmosphere, and a heavily cratered surface not
unlike the Moon. - However, even after Mariner 10, only 45 of
Mercurys surface had been mapped in detail.
Dr Conor Nixon Fall 2006
Image NASA/NSSDC
22ASTR 330 The Solar System
- Mercury as Seen By Mariner 10
Dr Conor Nixon Fall 2006
Images NASA/NSSDC
23ASTR 330 The Solar System
- The surface of Mercury could easily be mistaken
at a casual glance for the Moon! The surface of
Mercury bears an uncanny resemblance to the
ancient lunar highlands. - Mercury might have been expected to have more
geologic activity than the Moon, being larger,
but in fact only one lava-flooded impact basin
was found (like the Lunar maria). - The surface appears to be largely igneous
silicate rocks, like the lunar anorthosites
(highlands) but we do not see much evidence for
dark basalts like the lunar maria. - Mercury is hence brighter than the Moon.
- We do not have any returned samples from
Mercury, so we are still ignorant of the exact
composition of the rocks. Unless reports of a
Mercurian meteorite are true!
Dr Conor Nixon Fall 2006
24ASTR 330 The Solar System
- At noon at the hot longitudes, the temperature
rises to 675 K, hot enough to melt some metals,
while during night the temperature falls to only
90 K, cold enough to freeze CO2 (dry ice). - Do you think Mercury has much volatiles, or any
polar caps? - In fact, radar experiments since Mariner 10 have
showed the distinctive echo of frozen material at
Mercurys poles, in complete contrast to
expectations! - Because Mercurys spin is almost 90 to its
orbit (unlike the Earth, which tilts at 23) the
poles do not get much sunlight, and remain cool
enough for ices. But, all our formation theories
indicate that Mercury would not have retained any
volatiles when it formed. - So how do you think the ices got there?
Dr Conor Nixon Fall 2006
25ASTR 330 The Solar System
- In fact, the Moon has also been shown quite
recently to have some polar ices. - The first evidence came from a DoD spacecraft
called Clementine in 1996, which saw reflections
at the bottom of craters near the lunar south
pole. - A second mission was soon launched to make sure.
- The Lunar Prospector mission in 1998 was able to
confirm, using a neutron detection technique to
detect hydrogen, that H20 ice was likely.
Dr Conor Nixon Fall 2006
Image Clementine DSPSE/NRL
26ASTR 330 The Solar System
- Polar ices on both Mercury and the Moon are only
possible in the cold shadows of craters, places
which are permanently protected from sunlight. - The only plausible explanation for the ices to
be there is from cometary impacts the craters
act as cold traps to condense and retain the
volatile H2O (and any other ices). - Even a few km2 of water ice is exciting for
space enthusiasts who want to send humans back to
the Moon on a permanent basis they would not
need to take their water with them! - Also, water ices can be electrolyzed using solar
energy to produce H2 and O2 a possible fuel
source. - In January 2004, the President announced a
permanent return to the Moon in his State of the
Union address made possible by this discovery.
Dr Conor Nixon Fall 2006
27ASTR 330 The Solar System
- The crater density on Mercury varies from about
1000 per million km2 (like the lunar highlands),
down to 100 per million km2. The density never
goes as low as the lunar maria. - The ejecta blankets are smaller as expected
from the higher gravity. - None of the lunar geological features associated
with volcanism flow fronts, sinuous rilles, etc
have been spotted on Mercury. - This leaves the question as to why the surface
is not cratered evenly something must have
covered the regions of lower density at some
point in the past. - Was it some volcanism we do not yet recognize?
- Was it a very large covering of ejected crater
material? - No-one knows for sure.
Dr Conor Nixon Fall 2006
28ASTR 330 The Solar System
- The largest impact basin is located near one of
the two hot longitudes, and accordingly named
Caloris (heat) 1300 km across. - The image (right) shows half of Caloris as seen
by Mariner 10. It bears a resemblance to
Orientalis. - However, the floor of Caloris is cracked, rather
than smooth like the lunar basins, filled with
basalt. - One hypothesis is that Caloris shows impact
melting, rather than later in-filling.
Dr Conor Nixon Fall 2006
29ASTR 330 The Solar System
- The most distinctive identifying features of
Mercurys crust are compression scarps (cliffs)
which are not seen on the Moon. - The scarp called Discovery is 500 km long and up
to 3 km high. - Scientists believe these were caused by cooling
shrinking of Mercury, millions of years after
the crust formed, perhaps associated with tidal
friction and de-spinning. - Mercury has lost an estimated 4 of its surface
area in this way, and 2 of its radius.
Dr Conor Nixon Fall 2006
Image NASA/NSSDC Figure Scott Hughes, Idaho
State
30ASTR 330 The Solar System
- The bulk densities of the Earth, the Moon and
Mercury are 5.5, 3.3 and 5.4 g/cm3 respectively.
However, we have learned before (in the Asteroids
class) that densities can be misleading. Remember
Psyche? - As well as porous asteroids, we must also beware
of extra-compressed interiors. E.g. the iron in
the Earths core is at a density of 15 g/cm3,
when it would only be 9 g/cm3 at the surface
pressure.
- A more useful indicator for the planets is the
uncompressed densities which are 4.5, 3.3 and
5.2 g/cm3 for the Earth, Moon and Mercury. - This shows that the Moon is mostly rock, the
Earth is rock and some metal, and Mercury has
even more metal inside.
Dr Conor Nixon Fall 2006
Figure Nanjing University
31ASTR 330 The Solar System
- The difference between the composition of the
Moon and the Earth is one fact we must explain,
if they formed together. - For Mercury, our calculations indicate that 60
of the mass comes from metal. - Mercury is hence basically an iron ball (3500 km
across) covered by a 700 km layer of dirt! - Mercury is extremely deficient in silicate rocks
compared to the Earth. There are two possible
scenarios for this - Mercury formed without the silicates, due to
fractionation in the solar nebula. - Mercury formed with some silicates, but later
lost them somehow.
Dr Conor Nixon Fall 2006
32ASTR 330 The Solar System
- It is also pertinent to ask whether the cores of
the Moon and Mercury show any signs of being
liquid, which could cause a magnetic field. - For the Moon, we have direct evidence, from the
ALSEP (seismo-meters) left by the Apollo
astronauts.
- Natural moonquakes are very small compared to
earthquakes the energy released is 100 billion
times less in any one year. - Moonquakes are due to heat flowing from the
core mostly due to natural radioactivity. The
Moon may have some molten rock in the core. - The Moon has no metal core, hence (almost) no
magnetic field.
Dr Conor Nixon Fall 2006
Figure Nanjing University
33ASTR 330 The Solar System
- No-one knew what to expect from Mercury!
- In fact, Mariner 10 did discover a magnetic
field at Mercury, about 1 as strong as the
Earths. - Thus is presented a paradox on the one hand, a
magnetic field indicates a moving, fluid metallic
core. - But, if the core is hot enough to be molten, how
come there has been so little geologic activity,
in the last several billion years.
- A mystery indeed, which forthcoming space
missions (Messenger, BepiColumbo) will try to
solve.
Dr Conor Nixon Fall 2006
Figure Scott Hughes, Idaho State
34ASTR 330 The Solar System
- We now turn our attentions to origin and
evolution of the Moon and Mercury. We have much
more data for the Moon than Mercury. - We have about 4 billion years worth of evidence
in the form of the exposed lunar surface to
constrain our models. - Mercurys surface is probably a similar age, but
we do not know for sure, in the absence of dated
samples. But we can apply stratigraphy. - Beyond 4 Gyr in the past, the high impact rates
of the early solar system have destroyed any
detailed evidence of the lunar surface, although
we have rock samples dated to 4.4 Gyr. - We believe that both the Moon and Mercury were
largely molten and fully differentiated as our
story begins 4.4 Gyr ago
Dr Conor Nixon Fall 2006
35ASTR 330 The Solar System
- 4.4 billion years ago
- the Moon is mostly molten and differentiated.
- The lunar highland crust is beginning to form.
- The oldest rocks we have evidence for solidified
at this time. - Heavy impacts are continuing breaking and
remaking the crust, and forming breccias. - 4.2 billion years ago
- The magma ocean is beginning to cool and
solidify. - The end of the heavy bombardment is happening.
- 3.8 billion years ago
- the huge Imbrium Basin is formed by a massive
impact, blanketing the nearside in Fra Mauro
material. - The Orientale basin is formed soon after.
Dr Conor Nixon Fall 2006
36ASTR 330 The Solar System
- 3.4-3.3 billion years ago
- parts of the interior, heated by radioactivity,
are still molten. - expansion of the crust causes fractures lava
seeps out, flooding the Imbrium Basin. - 3.0 billion years ago
- Large-scale volcanism has now ceased, the Moon
continues to cool. - 3.0 billion years ago to present day
- Cratering continues at a slow rate. Large
impacts are rare. - 1.0 billion years ago
- The crater Copernicus is created.
- 0.1 billion years ago
- The youngest major crater, Tycho is formed.
Dr Conor Nixon Fall 2006
37ASTR 330 The Solar System
- Our historical timeline is mostly guesswork
- 4.4 billion years ago
- Mercury is molten and differentiated, like the
Moon. - 4.2 billion years ago
- Heating and expansion are occurring during the
end of the heavy bombardment period there may
have been widespread volcanism. - 3.4 billion years ago
- Perhaps due to Mercurys nickel-iron core
Mercury began to shrink. Any cracks in the crust
were squeezed shut, and scarp ridges formed. - 3.0 billion years ago to present
- Mercury continues to cool and solidify, but
still may be much hotter and more fluid inside
than the Moon.
Dr Conor Nixon Fall 2006
38ASTR 330 The Solar System
- Mysteries Of Lunar Formation
- Although lunar rocks have many similarities to
terrestrial rocks - Isotopic composition, some similar minerals,
- There are also important differences
- Less volatiles almost no water, depleted
potassium. - Higher abundance of Ca, Ti, Al.
- How did these differences occur, if the Moon and
Earth formed at the same place and time? There
are three traditional theories - Daughter Theory.
- Sister Theory.
- Capture Theory.
Dr Conor Nixon Fall 2006
39ASTR 330 The Solar System
- This theory was proposed in 1880 by the
astronomer George Darwin (son of Charles Darwin),
and is sometimes called the fission theory. - In brief, the theory suggests
- The Earth was once rapidly spinning and molten.
- Sometime after differentiation, the Earth split,
and a piece was flung off into orbit, forming the
Moon. - The piece was largely composed of Earth mantle
material, and so is depleted in metals. - There are many technical problems with this
theory, and it also does not explain why the Moon
is so depleted in volatiles compared to the
Earth.
Dr Conor Nixon Fall 2006
40ASTR 330 The Solar System
- The capture theory proposes that the Moon and
Earth initially formed in separate places in the
solar system. - Subsequently, the Moon was disturbed into an
Earth-crossing orbit, and was somehow captured
into Earth orbit. - The capture theory explains why the volatile and
metal inventory could be different from the
Earth, but not why the isotope ratios (e.g. in
oxygen 18O/16O) are the same. - Also, the Earth could not easily have captured
such a large body, in the manner in which Phobos
and Deimos were captured by Mars without the
intervention of a third body.
Dr Conor Nixon Fall 2006
41ASTR 330 The Solar System
- Very simple this theory supposes that the Earth
and Moon formed together out of a spinning cloud
of dust. - This is the same theory used today to explain
the large satellites of Jupiter and Saturn. - The main problem is composition why did the
Moon form with less metals than the Earth? - None of the three traditional theories entirely
works we must somehow modify our model and use
the best parts of each
Dr Conor Nixon Fall 2006
42ASTR 330 The Solar System
- The Giant Impact Hypothesis
- The currently favored scenario is as follows
- The Earth had just formed, and had largely
differentiated. - When along came a protoplanet the size of
Mars, about 10 the mass of the Earth, and
smashed into the Earth at an oblique angle. - The impact was just small enough not to destroy
the Earth entirely, but about 10 of Earth
material was ejected into orbit. The ejected
material was metal-poor, coming from the Earths
mantle. - Some fraction (about 10) of the ejecta
aggregated in orbit to form the Moon subsequent
impact heating drove off most of the volatiles.
Dr Conor Nixon Fall 2006
43ASTR 330 The Solar System
- Computer calculations suggest that, in the early
solar system, as many as 100 protoplanets the
size of Mars existed, many on eccentric orbits. - Over time, collisions whittled the number down
to just 4, the four surviving terrestrial planets
we see today. Collisions may have been the norm,
rather than the exception! - This gives us an alternative theory for the very
metal-rich composition of Mercury, rather than
just supposing it formed that way. - Mercury may have originally been 50 as large as
Earth or Venus. - After Mercury had differentiated into a metal
core and rocky mantle, it may have been impacted
by a Mars-size projectile, losing most of the
mantle material, but retaining the iron-nickel
core. That would explain the disproportionately
large metal center Mercury has today.
Dr Conor Nixon Fall 2006
44ASTR 330 The Solar System
- Why are the inferior planets (Mercury and Venus)
never seen very far from the Sun? - Do these planets exhibit retrograde motion?
- What causes tides on the Earth. When are they
strongest? - What are some of the effects of tides today?
- Describe the orbital and rotational evolution of
the Earth-Moon system over time. - What was the expected rotation period of
Mercury, and what was actually measured in 1965?
Why was this a surprise? - What is the explanation for Mercurys solar day
length?
Dr Conor Nixon Fall 2006
45ASTR 330 The Solar System
- Describe a day on Mercury (i) at a hot longitude
(ii) at a cool longitude. Are the cool longitudes
really cool by our standards? - Which spacecraft has given us the most knowledge
about Mercury? - Describe the similarities and differences
between Mercurys surface and that of the Moon. - What was discovered by the Clementine
spacecraft, and has it been verified? - Describe some of the geologic features seen on
the Mercurian surface. Are they the same as the
Moon?
Dr Conor Nixon Fall 2006
46ASTR 330 The Solar System
- Compare and contrast the interiors of the Earth,
the Moon and Mercury. What sources of information
do we have for the Lunar and Mercurian interiors? - Was the Moon a geologically active world prior to
3 Gyr ago? What about Mercury? - What are the compositional differences between
the Earth and Moon? - What are the three failed theories to explain
the Moons origin? - What features of these were incorporated into
the generally accepted theory today? - What insight does the current theory of lunar
origin give us into the possible origin of
Mercury?
Dr Conor Nixon Fall 2006