Solar System Fluff

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This chapter covers all of the solar system that is not the planets or the Sun: meteorites, asteroids, and comets. I group them all together as ``solar system fluff'' because the objects are much smaller than planets and most moons. The ``fluff'' may be small in size but certainly not in importance. We get clues of the origin of the solar system from these small objects.

Asteroids

There are thousands, even millions, of small rocks that orbit the Sun, most of them between the orbits of Mars and Jupiter. A plot of the known asteroids is available at the Minor Planet Center. About one million of them are larger than 1 kilometer across. Those smaller than about 300 kilometers across have irregular shapes because their internal gravity is not strong enough to compress the rock into a spherical shape. The largest asteroid is Ceres with a diameter of 1000 kilometers. Pallas and Vesta have diameters of about 500 kilometers and about 15 others have diameters larger than 250 kilometers. The number of asteroids shoots up with decreasing size. The combined mass of all of the asteroids is less than the Moon's mass. Very likely the asteroids are pieces that would have formed a planet if Jupiter's strong gravity had not stirred up the material between Mars and Jupiter. The rocky chunks collided at speeds too high to stick together and grow into a planet.

Though there are over a million asteroids, the volume of space they inhabit is very large, so they are far apart from one another. Unlike the movie The Empire Strikes Back, where the spacecrafts flying through an asteroid belt could not avoid crashing into them, real asteroids are at least tens of thousands of kilometers apart from each other. Several spacecraft sent to the outer planets have travelled through the asteroid belt with no problems.

three asteroids visited by 
spacecraft

Two of the three types of asteroids are represented by the asteroids that have been explored up close with spacecraft. Mathilde (left) is a dark C-type (brightness enhanced several times to match the other two). Gaspra and Ida are S-type asteroids.

There are three basic types of asteroids:

  1. C: they are carbonaceous---made of silicate materials with a lot of carbon compounds so they appear very dark. They reflect only 3 to 4% of the sunlight hitting them. You can tell what they are made of by analyzing the spectra of sunlight reflecting off of them. This reflectance spectra shows that they are primitive, unchanged since they first solidified about 4.6 billion years ago. A sizable fraction of the asteroids are of this type. The asteroid called Mathilde, recently explored by the NEAR spacecraft is an example of this type (see picture above).
  2. S: they are made of silicate materials without the dark carbon compounds so they appear brighter than the C types. They reflect about 15 to 20% of the sunlight hitting them. Most of them appear to be primitive and they make up a smaller fraction of the asteroids than the C types. Gaspra and Ida, explored by the Galileo spacecraft on its way to Jupiter, are examples of this type (see picture above).
  3. M: they are made of metals like iron and nickel. These rare type of asteroids are brighter than the S and C types. We think they are the remains of the cores of differentiated objects. Large objects were hot enough in the early solar system so that they were liquid. This allowed the dense materials like iron and nickel to sink to the center while the lighter material like ordinary silicate rock floated up to the top. Smaller objects cooled off quicker than larger objects, so they underwent less differentiation. In the early solar system, collisions were much more common and some of the smaller differentiated large asteroids collided with one another, breaking them apart and exposing their metallic cores.
A few other asteroids have surfaces made of basalt from volcanic lava flows. When asteroids collide with one another, they can chip off pieces from each other. Some of those pieces, called meteoroids, can get close to the Earth and be pulled toward the Earth by its gravity.

Meteorites

The quick flashes of light in the sky most people call ``shooting stars'' are meteor---pieces of the rock glowing from friction with the atmosphere as they plunge toward the surface. Most of the meteors you see are about the size of a grain of sand. More meteors are seen after midnight because your local part of the Earth is facing the direction of its orbital motion around the Sun. Meteoroids moving at any speed can hit the atmosphere. Before midnight your local part of the Earth is facing away from the direction of orbital motion, so only the fastest moving meteoroids can catch up to the Earth and hit the atmosphere. The same sort of effect explains why an automobile's front windshield will get plastered with insects while the rear windshield stays clean.

If the little piece of rock makes it to the surface without burning up, it is called a meteorite. There are three basic types of meteorites.

  1. Stones: they are made of silicate material with a density around 3 (relative to the density of water) and look like ordinary Earth rocks. This makes them hard to distinguish from Earth rocks so they don't stand out. About 95 to 97% of the meteorites are of these type. About 85% of the stones are primitive, unchanged since they first solidified about 4.6 billion years ago. Most of the primitive stones have chondrules---round glassy structures 0.5 to 5 millimeters across embedded in the meteorites. They are solified droplets of matter from the early solar nebula and are the oldest part of a primitive meteorite.

    carbonaceous chondrite
    A carbonaceous meteorite containing chondrules (courtesy of the Planetary Data Center).

    The oldest of the stone meteorites are the carbonaceous meteorites. They contain silicates, carbon compounds (giving them their dark color), and a surprisingly large amount of water (about 22%). They are probably chips of C-type asteroids. Some of the carbonaceous meteorites have organic molecules called amino acids. Amino acids can be connected together to form proteins that are used in the biological processes of life. There is the possibility that meteorites like these may have been the seeds of life on the Earth. In addition, these type of meteorites may have provided the inner planets with a lot of water. The terrestrial planets may have been so hot when they formed that most of the water in them at formation evaporated away to space. The impact of millions to billions of carbonaceous meteorites in the early solar system may have replenished the water supply on the terrestrial planets.

    About 10 to 12% of the stones are from the crust of differentiated parent objects. Therefore, they are younger (only 4.4 billion years old). The lighter-colored stones are chips from the S-type of asteroids.

  2. Stoney-Irons: only 1% of the meteorites are of this type. They have a variable mixture of metal (iron and nickel) and rock (silicates) and have densities ranging from 4 to 6 (relative to the density of water). They come from a differentiated object at the boundary between the metal core and the rock crust. They are 4.4 billion years old.
  3. Irons: although they make up about 40% of the meteorites found worldwide, only 2 to 3% of the meteorites are these type. They make up so many of the ones found because they are easily distinguished from Earth rocks. They are noticeably denser than Earth rocks, they have a density around 7. They come from the core of a differentiated body and are made of iron and nickel. They are 4.4 billion years old. Irons sometimes have large, coarse-grained crystalline patterns (``Widmanstatten patterns'') that is evidence that they cooled slowly.

    iron meteorite
    An iron meteorite (courtesy of the Planetary Data Center).
The primitive meteorites are probably the most important ones because they hold clues to the composition and temperature in various parts of the early solar nebula.

Finding Meteorites

Most stoneys look like Earth rocks and so they are hard to spot. The rare irons are easy to distinguish from Earth rocks and make up most of the ones found worldwide. Usually the meteorites science museums show off are iron meteorites. Not only does their high density and metal composition set them apart from ordinary rocks, the iron meteorites are stronger. This means they will more likely survive the passage through the atmosphere in one piece to make impressive museum displays. The stone meteorites are more fragile and will break up into several pieces (less impressive for museum displays).

better contrast in 
Antarctica

To get an accurate number for the proportion of meteorites that fall to the Earth (an unbiased sample), meteorite searchers go to a place where all types of rocks will stand out. The best place to go is Antarctica where the stable, white ice pack makes darker meteorites easy to find. Meteorites that fell thousands of years ago can still be found in Antarctica without significant weathering. Since the 1980's thousands of meteorites have come from here. For further exploration, check out the Antarctica Meteorite web site at the Planetary Materials Curation office of NASA and the ANSMET site at Case Western Reserve University.

finding meteorites in 
Antarctica
Meteorites stand out against the snow and ice background of Antarctica.

Most meteorites are pieces of asteroids, but a few are from the Moon. A select few, the Shergotty-Nakhla-Chassigny (SNC) meteorites, may be from Mars. The relative abundances of magnesium and heavy nitrogen (N-15) gases trapped inside the SNC meteorites is similar to the martian atmosphere as measured by the Viking landers and unlike any meteorites from the asteroids or Moon. Also, the isotope ratios of argon and xenon gas trapped in the meteorites most closely resemble the martian atmosphere and are different than the typical meteorite. The analysis of the soil and rocks by the Mars Pathfinder confirm this.

SNC meteorite (EETA 79001)
A meteorite blasted from Mars.

Most SNC meteorites are about 1.4 Gyr old, but the one with suggestions of extinct Martian life is about 4.5 Gyr old. The discovery was published in the August 16, 1996 issue of the journal Science. Non-subscribers can find a copy of the article here. Recent studies of the meteorite have cast considerable doubt on the initial claims for fossil microbes in the rock. There is strong evidence of contamination by organic molecules from Earth, so this meteorite does not provide the conclusive proof hoped for. A detailed description of SNC meteorites is given at http://www.jpl.nasa.gov/snc/.

Radioactive Dating

There are several ways to figure out relative ages, that is, if one thing is older than another. For example, looking at a series of layers in the side of a cliff, the younger layers will be on top of the older layers. Or you can tell that certain parts of the Moon's surface are older than other parts by counting the number of craters per unit area. The old surface will have many craters per area because it has been exposed to space for a long time. But how old is ``old''? If you assume that the impact rate has been constant for the past several billion years, then the number of craters will be proportional to how long the surface is exposed. However, the crater number relation must be calibrated against something with a known age.

To measure the passage of long periods of time, scientists take advantage of a regularity in certain unstable atoms. In radioactive atoms the nucleus will spontaneously change into another type of nucleus. When looking at a large number of atoms, you see that a certain fraction of them will change or decay in a certain amount of time that depends on the type of atom---more specifically, the type of nucleus. Radioactive dating is an absolute dating system because you can determine accurate ages from the number of remaining radioactive atoms in a rock sample. Most of the radioactive isotopes used for radioactive dating of rock samples have too many neutrons in the nucleus to be stable.

An isotope is a particular form of an element. All atoms of an element have the same number of protons in their nucleus and behave the same way in chemical reactions. The atoms of an isotope of a given element have same number of protons AND neutrons in their nucleus. Different isotopes of a given element will have the same chemistry but behave differently in nuclear reactions. In a radioactive decay, the original radioactive isotope is called a parent isotope and the resulting isotope after the decay is called a daughter isotope. For example, Uranium-238 is the parent isotope that breaks apart to form the daughter isotope Lead-204.

Radioactive Dating Method

standard exponential decay curve decrease by one-half every half-life

Radioactive isotopes will decay in a regular exponential way such that one-half of a given amount of parent material will decay to form daughter material in a time period called a half-life. A half-life is NOT one-half the age of the rock! When the material is liquid or gaseous, the parent and daughter isotopes can escape, but when the material solifies, they cannot so the ratio of parent to daughter isotopes is frozen in. The parent isotope can only decay, increasing the amount of daughter isotopes. Radioactive dating gives the solidification age.

There are two simple steps for radioactive dating:

  1. Find out how many times you need to multiply (1/2) by itself to get the observed fraction of remaining parent material. Let the number of the times be n. For example 1/8 = (1/2) × (1/2) × (1/2), so n = 3. The number n is the number of half-lives the sample has been decaying. If some material has been decaying long enough so that only 1/4 of the radioactive material is left, the sample is 2 half-lives old: 1/4 = (1/2) × (1/2), n =2.
  2. The age of the sample in years = n × (one half-life in years).

How do you do that?

If 1/8 of the original amount of parent isotope is left in a radioactive sample, how old is the sample? Answer: After 1 half-life, there is 1/2 of the original amount of the parent left. After another half-life, there is 1/2 of that 1/2 left = 1/2 × 1/2 = 1/4 of original amount of the parent left. After yet another half-life, there is 1/2 of that 1/4 left = 1/2 × 1/2 × 1/2 = 1/8 of the original amount of the parent left (which is the fraction asked for). So the rock is 1 half-life + 1 half-life + 1 half-life = 3 half-lives old (to get the age in years, simply multiply 3 by the half-life in years).

If you have a fraction that is not a multiple of 1/2, then it is more complicated. The age = [ln(original amount of parent material / current amount of parent material) / ln(2)] × (half-life in years), where ln() is the ``natural logarithm'' (it is the ``ln'' key on a scientific calculator).

If Amount of Original Is Not Known

There are always a few astronomy students who ask me the good question (and many others who are too shy to ask), ``what if you don't know the original amount of parent material?'' or ``what if the rock had some daughter material at the very beginning?'' The age can still be determined but you have to be more clever in determining it.

One common sense rule to remember is that the number of parent isotope atoms + the number of daughter isotope atoms = an unchanging number throughout time. The number of parent isotopes decreases while the number of daughter isotopes increases but the total of the two added together is a constant. You need to find how much of the daughter isotopes in the rock (call that isotope ``A'' for below) are not the result of a radioactive decay of parent atoms. You then subtract this amount from the total amount of daughter atoms in the rock to get the number of decays that have occurred since the rock solified. Here are the steps:

  1. Find another isotope of the same element as the daughter that is never a result of radioactive decay (call that isotope ``B'' for below). Isotopes of a given element have the same chemical properties, so a radioactive rock will incorporate the NONradioactively derived proportions of the two isotopes in the same proportion as any nonradioactive rock.
  2. Measure the ratio of isotopes A and B in a nonradioactive rock. This ratio, R, will be the primitive (initial) proportion of the two isotopes.
  3. Multiply the amount of the non-daughter isotope (isotope B) in the radioactive rock by the ratio of the previous step: (isotope B) × R = initial amount of daughter isotope A that was not the result of decay.
  4. Subtract the initial amount of daughter isotope A from the rock sample to get the amount of daughter isotope A that IS due to radioactive decay. That number is also the amount of parent that has decayed (remember the rule #parent + #daughter = constant). Now you can determine the age as you did before.

Is Radioactive Dating Valid?

The long ages (billions of years) given by radioactive dating of rocks seems an impossibly long time for some people. Since radioactive rocks have been observed for only a few decades, how do you know you can trust these long half-lifes and the long ages derived? Here are some points to consider:
  1. The rate of decay should follow a simple exponential decline based on the simple theory of probability in statistics. This same probability theory is used to figure the odds of winning by gamblers.
  2. An exponential decay is seen for short-lived isotopes with half-lives of only a few days.
  3. For the decades they have been observed, the long-lived isotopes also follow an exponential decay.
  4. The decay probability should not depend on time because:

Effects of an Asteroid Impact on Earth

Some asteroids have orbits that cross the orbit of the Earth. That means that the Earth will be hit sometime. Recent studies have shown that the Earth has been hit an alarmingly large number of times in the past. One large impact is now thought to have contributed to the quick demise of the dinosaurs about 65 million years ago. What would be the effects of an asteroid hitting the Earth?

the battered Earth
Known impact sites on the Earth's continents.

What follows is a condensation of an excellent article by Sydney van den Bergh called ``Life and Death in the Inner Solar System'' in the May 1989 issue of the Publications of the Astronomical Society of the Pacific (vol. 101, pages 500-509). He considers a typical impact scenario of a 10-kilometer object with density = 2.5 times that of water, impacting at a speed of 20 kilometers/second. Its mass = 1.31 trillion tons (1.31 × 1015 kilograms). A 1-kilometer object has a mass = 1.31 billion tons.

Explosion

Obviously, something this big hitting the Earth is going to hit with a lot of energy! Let's use the energy unit of 1 megaton of TNT (=4.2× 1015 Joules) to describe the energy of the impact. This is the energy one million tons of dynamite would release if it was exploded and is the energy unit used for nuclear explosions. The largest yield of a thermonuclear warhead is around 50--100 megatons. The kinetic energy of the falling object is converted to the explosion when it hits. The 10-kilometer object produces an explosion of 6 × 107 megatons of TNT (equivalent to an earthquake of magnitude 12.4 on the Richter scale). The 1-kilometer object produces a milder explosion of ``only'' 6 × 104 megatons (equivalent to an earthquake of magnitude 9.4 on the Richter scale).

On its way to the impact, the asteroid pushes aside the air in front of it creating a hole in the atmosphere. The atmosphere above the impact site is removed for several tens of seconds. Before the surrounding air can rush back in to fill the gap, material from the impact: vaporized asteroid, crustal material, and ocean water (if it lands in the ocean), escapes through the hole and follows a ballistic flight back down. Within two minutes after impact, about 105 cubic kilometers of ejecta (1013 tons) is lofted to about 100 kilometers. If the asteroid hits the ocean, the surrounding water returning over the the hot crater floor is vaporized, sending more water vapor into the air.

There will be a crater regardless of where it lands. The diameter of the crater in kilometers is = (energy of impact)(1/3.4)/106.77. Plugging in the typical impact values, you get a 150-kilometer diameter crater for the 10-kilometer asteroid and a 20-kilometer diameter crater for the 1-kilometer asteroid.


Meteor (Barringer) Crater in northern Arizona (about 1 kilometer across).

Chicxulub Crater in Yucatan, Mexico (from the one that may have killed off the dinosaurs).

Tsunami

The oceans cover about 75% of the Earth's surface, so it is likely the asteroid will hit an ocean. The amount of water in the ocean is nowhere near large enough to ``cushion'' the asteroid. The asteroid will push the water aside and hit the ocean floor to create a large crater. The water pushed aside will form a huge tidal wave, a tsunami. The tidal wave height in meters = (distance from impact)-0.717 × (energy of impact)0.495/ (1010.17). What this means is that a 10-km asteroid hitting any deep point in the Pacific (the largest ocean) produces a megatsunami along the entire Pacific Rim.

Some values for the height of the tsunami at different distances from the impact site are given in the following table. The heights are given for the two typical asteroids, a 10-kilometer and a 1-kilometer asteroid.

Distance (in km) 10 km 1 km
300 1.3 km 43 m
1000 540 m 18 m
3000 250 m 3 m
10000 100 m 3 m

Global Firestorm

The material ejected from the impact through the hole in the atmosphere will re-enter all over the globe and heat up from the friction with the atmosphere. The chunks of material will be hot enough to produce a lot of infrared light. The heat from the glowing material will start fires around the globe. Global fires will put about 7 × 1010 tons of soot into the air. This would ``aggravate environmental stresses associated with the ... impact.''

Acid Rain

The heat from the shock wave of the entering asteroid and reprocessing of the air close to the impact produces nitric and nitrous acids over the next few months to one year. The chemical reaction chain is:
  1. N2 + O2 ‚> NO (molecular nitrogen combined with molecular oxygen produces nitrogen monoxide)
  2. 2NO + O2 ‚> 2NO2 (two nitrogen monoxide molecules combined with one oxygen molecule produces two nitrogen dioxide molecules)
  3. NO2 is converted to nitric and nitrous acids when it is mixed with water.
These are really nasty acids. They will wash out of the air when it rains---a worldwide deluge of acid rain with damaging effects:

Temperature Effects

All of the dust in the air from the impact and soot from the fires will block the Sun. For several months you cannot see your hand in front of your face! The dramatic decrease of sunlight reaching the surface produces a drastic short-term global reduction in temperature, called impact winter. Plant photosynthesis stops and the food chain collapses.

The cooling is followed by a much more prolonged period of increased temperature due to a large increase in the greenhouse effect. The greenhouse effect is increased because of the increase of the carbon dioxide and water vapor in the air. The carbon dioxide level rises because the plants are burned and most of the plankton are wiped out. Also, water vapor in the air from the impact stays aloft for awhile. The temperatures are too warm for comfort for awhile.

Astronomers have requested funding for an observing program called Spaceguard to catalog all of the near-Earth asteroids and short period comets. Of the approximately 2000 asteroids that are thought to pose a threat of impacting Earth, less than 10% have been found so far. The international program would take 10 years to create a comprehensive catalog of all of the hazardous asteroids and comets. The cost for the entire program (building six special purpose telescopes and operation costs for ten years) would be less than what it costs to make a popular movie like Deep Impact or Armageddon. Select the hot links in this paragraph to find out more about Spaceguard. Another nice site is the Asteroid and Comet Hazards site at NASA.

Vocabulary

carbonaceous meteorite chondrules differentiated
half-life isotope meteorite
primitive radioactive dating

Review Questions

  1. Where are most of the asteroids found?
  2. Why are spacecraft able to pass through the asteroid belt without getting hit?
  3. What are the three types of asteroids and what are they made of?
  4. Why are more meteors seen after midnight?
  5. What are the proportions of the three types of meteorites and what are they made of?
  6. What type of asteroid does each type of meteorite correspond to?
  7. Which meteorites are primitive and why are they particularly important for understanding the origin of the planets?
  8. What makes carbonaceous meteorites so special?
  9. Why are chondrules especially important for solar system formation models? What type of meteorite are they likely to be found in?
  10. How old are the various types of meteorites and why are they used to find the age of the solar system?
  11. Why do iron meteorites make up 40% of the ``finds'', but are only 2 to 3% of the total meteorites? What causes the biasing of the ``finds''?
  12. Why is Antarctica a good place to get an unbiased sample of meteorites?
  13. What makes SNC meteorites so unique and how are they different than other types of meteorites?
  14. Why are iron and stoney-iron meteorites thought to come from a differentiated body?
  15. Does radioactive dating give us relative or absolute ages for rocks? What type of ``age'' does it tell us?
  16. How do you use the half-life to find the age of radioactive rocks?
  17. If the half-life of a radioactive sample is 1 month, is a sample of it completely decayed after 2 months? If not, how much is left?
  18. Uranium-235 has a half-life of 700 million years. How long will you have to wait until a 1-kilogram chunk decays so that only 0.0625 kilograms (1/16 kg) is left?
  19. How are the very old ages derived for some radioactive rocks known to be correct?
  20. If a large asteroid were to hit Earth, how much of the Earth's surface would be affected?
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last update: 18 February 1999


Nick Strobel -- Email: strobel@lightspeed.net

(661) 395-4526
Bakersfield College
Physical Science Dept.
1801 Panorama Drive
Bakersfield, CA 93305-1219