Fall 2007 4 October 2007 Class 10 Review Venus resurfacing events 300500 Myr ago Just how do you determine the age of a planetary surface Impacts Mars Martian Crustal Magnetization ID: 591946
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Slide1
Astronomy 340Fall 2007
4 October
2007
Class
#10Slide2
Review
Venus resurfacing event(s) 300-500
Myr
ago
Just how do you determine the age of a planetary surface?
Impacts
MarsSlide3
Martian Crustal Magnetization
Working model
Collection of strips 200 km wide, 30 km deep
Variation in polarization every few 100 km
3-5 reversals every 10
6
years (like seafloor spreading on Earth)
Some evidence for plate tectonics…but crust is rigid
Earth’s crust appears to be the only one that participates in convectionSlide4
Formation of Impact Craters
Impactor unperturbed by atmosphere
Impact velocity ~ escape velocity (11 km s
-1
)
tens of meters in diameter
Impact velocity > speed of sound in rocks
impact forms a shock
Pressures ~100 times stress levels of rock
impact vaporizes rocks
Shock velocity ~10 km s
-1
much faster than local sound speed so shock imparts kinetic energy into vaporized rockSlide5
Contact/Compression
Projectile stops 1-2 diameters into surface
kinetic energy goes into shock wave tremendous pressures P ~ (1/2)
ρ
0
v
2
Peak shock pressures ~1000 kbar; pressure of vaporization ~600 kbar
Shock loses energy
Radial dilution (1/r
2
)
Heating/deformation of surface layer
Velocity drops to local sound speed – seismic wave transmitted through surface
Can get melting at impact point
Shock wave reflected back through projectile and it also gets vaporized
Total time ~ few secondsSlide6
Excavation
Shock wave imparts kinetic energy into vaporized debris
excavation of both projectile and impact zone (defined as radius at which shock
velocty
~ sound speed (meters per second)
Timescale is just a dynamical/crossing time (t = (D/g)
1/2
Crater size? D goes as E
1/3
empirically, it looks like ~ 10
times
diameter of projectile (but see equation 5.26b).
Can get secondary craters from debris blown out by initial impact
Large impacts
multiring
basins (Mars, Mercury, Moon)Slide7
Craters
35m
2m
4yr
Small Earthquake
1km
50m
1600yr
Barringer Meteor Crater
7km
350m
51,000yr
9.6 mag earthquake
10km
500m
10
5
yr
Sweden
200km
10km
150 Myr
Largest craters/KT impactorSlide8
Crater Density
See Figure 5.31 in your book
number of craters km
-2
vs diameter
Saturation equilibrium – so many craters you just can’t tell….
Much of the lunar surface
Almost all of Mercury
Only Martian uplands
Venus, Earth not even close note cut-off on Venus’ distribution
Calibrate with lunar surface rocks
10
7
times more small craters (100m) as there are large craters (500-1000 km)Slide9
Mercury South PoleSlide10
Lavinia Planum Impact Craters
Note ejecta surrounding craterSlide11Slide12
“It’s the size of Texas, Mr. President” - from yet another bad movie
Comets – small,rocky/icy things
10s of km
Asteroids – small, rocky things
a few to 10s of km the largest is the size of Texas (1000 km)
100-300 NEAs known
Close encounters….
Tunguska River in Siberia 30-50m meteroid exploded above ground flattened huge swath of forestSlide13
You make the catastrophe…
Need high velocity
max velocity ~ 70 km s
-1
(combine Earth’s orbital velocity plus solar system escape velocity)
Earth-asteroid encounters
25 km s
-1
Eart-comet encounters 60 km s
-1
Make it big….
E ~ mv
2
something 1000 km would wipe out the entire western hemisphere, but let’s be realistic and go for ~10m (10
21
J) or ~1 km (10
23
J)
One impact imparts more energy in a few seconds than the Earth releases in a year via volcanism etc.Slide14
Surface Composition
Reflection
spectroscopy
. (remember
radiative
transfer!)
What is the surface made of? Rocks, mostly igneous
Minerals = solid chemical compounds with specific atomic structureSlide15
Common Minerals
Silicates
Si is produced via He-burning in stellar interiors, released via SNe.
O is produced in massive and intermediate mass stars
Si, O bind easily
SiO
4
, SiO
3
bind with lots of other things (Mg, Al, Fe) and form a solid at high temperature
SiO
2
= quartz
(Fe,Mg)
2
SiO
4
= olivine (most common)
CaAl
2
Si
2
O
8
= feldspar
60% of surface rocks on Earth
Various Oxides
Fe
2
O
3
= hematite
generally formed from a reaction between Fe, O, and H
2
O has been found in Martian samplesSlide16
Common Minerals
Silicon
3
rd
most abundant element (after O, Fe)
Cosmically as abundant as Fe, Mg
Less abundant than C,N,O
Chemically between metals and non-metals
Can survive as solid in interstellar/circumstellar environmentSlide17
Common Minerals
Silicon
3
rd
most abundant element (after O, Fe)
Cosmically as abundant as Fe, Mg
Less abundant than C,N,O
Chemically between metals and non-metals
Can survive as solid in interstellar/
circumstellar
environment
Silicates
“
lithophiles
” = silicates and things that tend to attach themselves to silicates
low density minerals, reside in the crustSlide18
Common Minerals
Silicon
3
rd
most abundant element (after O, Fe)
Cosmically as abundant as Fe, Mg
Less abundant than C,N,O
Chemically between metals and non-metals
Can survive as solid in interstellar/
circumstellar
environment
Silicates
“
lithophiles
” = silicates and things that tend to attach themselves to silicates
low density minerals, reside in the crust
Igneous rocks
40-75% SiO
2
O:Si ratio is high at high temperature crystallization and you get more olivine; low at low T and you get more quartzSlide19
Common Minerals
Silicon
3
rd
most abundant element (after O, Fe)
Cosmically as abundant as Fe, Mg
Less abundant than C,N,O
Chemically between metals and non-metals
Can survive as solid in interstellar/
circumstellar
environment
Silicates
“
lithophiles
” = silicates and things that tend to attach themselves to silicates
low density minerals, reside in the crust
Igneous rocks
40-75% SiO
2
O:Si ratio is high at high temperature crystallization and you get more olivine; low at low T and you get more quartz
Differentiation
absence of “
siderophiles
” in crust is evidence of differentiationSlide20
Tectonics What Separates the Earth from Others
Convection
means of transporting heat driven by internal heat (radioactive decay?)
Crustal plates are cold upper lid on convective cells “subsolidus” convection in mantle (3000 km thick)
Consequences
Volcanic activity, mountain chains
Mid-ocean ridges
Continental drift, earthquakesSlide21
Tectonics
1
st
evidence
mapping magnetic field in Indian Ocean floor detection of distinct linear features interpreted as “sea-floor spreading”
Puzzle-piece like nature of continents
Youngest rocks near mid-ocean ridgesSlide22
Earth Topographic MapSlide23
Dating: Radionuclide Chronometry
Processes (
Most Important Cases
)
40
K
40
Ar
t
½
= 1.4 x 10
9
yrs
87
Rb
87
Sr
t
½
= 6 x10
10
yrs
238
U
206
Pb
t
½
= 5 x 10
9
yrs
Lunar Results
Oldest Highland Anorthosite
t
solid.
= 4.2 x 10
9
yrs
Youngest Mare Basalts
t
solid.
= 3.1 x 10
9
yrs
Terrestrial ResultsSlide24
Radioactive Decay
Consider a number density, n, of atoms
Which decays at an average rate,
l
The solution to which is:
Now n = ½ n
0
at time t =
t
1/2
so
Or,
And finally: