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Project Cyclops, A Design... - Department of Earth and Planetary ...

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nothingspecial abouthesolarneighborhood. Oursisas<br />

goodasanyotherin thedisk,<strong>and</strong>conversely. Furthermore,thediskisthetypicalenvironment<br />

<strong>of</strong> theGalaxy.<br />

FORMATIONANDEVOLUTION<br />

OFPLANETARYSYSTEMS<br />

One<strong>of</strong> themoststrikingfeatures<strong>of</strong> thesolarsystem<br />

istheextremeorderliness <strong>of</strong> themotions<strong>of</strong> theplanets<br />

<strong>and</strong>satellites. Theorbits<strong>of</strong> theplanetsareall nearly<br />

circular <strong>and</strong>, except for far-out Pluto <strong>and</strong>, to a lesser<br />

extent, near-in Mercury, lie very nearly in a common<br />

plane (see Appendix A). This plane makes only a small<br />

angle with the plane <strong>of</strong> the Sun's equator. All the planets<br />

revolve in the direction <strong>of</strong> the Sun's rotation. Within the<br />

solar system are two well-developed "subsolar systems":<br />

the satellite systems <strong>of</strong> Jupiter <strong>and</strong> Saturn. The major<br />

satellites <strong>of</strong> these two planets also exhibit the same<br />

regularity <strong>of</strong> motion with respect to their primaries as<br />

the planets have with respect to the Sun.<br />

These facts strongly suggest that the collapsing gas<br />

cloud, which was to become the Sun, contracted to an<br />

initial disk shape with a concentrated center just as was<br />

the case for the Galaxy as a whole. In the galactic cloud<br />

about a trillion local condensations occurred to form<br />

stars. In the Sun's disk, because <strong>of</strong> the vastly smaller<br />

scale, only a few local condensations occurred to form<br />

planets, <strong>and</strong> the larger <strong>of</strong> these repeated the process to<br />

form satellites. Thus, although we have only one<br />

planetary system to study, we see certain aspects <strong>of</strong> its<br />

formation process repeated in miniature within it, <strong>and</strong><br />

other aspects repeated on a much larger scale for the<br />

Galaxy<br />

as a whole.<br />

Nebular vs. Catastrophic Theories<br />

<strong>of</strong> <strong>Planetary</strong><br />

Formation<br />

The earliest theories <strong>of</strong> planetary formation were the<br />

nebular hypotheses <strong>of</strong> Kant <strong>and</strong> LaPlace. These pictured<br />

a large cloud condensing into a disk much as we have<br />

indicated. These theories were brought into question in<br />

the mid-1800s by the observation that the Sun, which<br />

contains the overwhelming majority <strong>of</strong> the total solar<br />

system mass, has only a small fraction <strong>of</strong> the angular<br />

momentum (see Appendix A). Since no way was known<br />

for the Sun to get rid <strong>of</strong> angular momentum, this<br />

disparity constituted a real objection to any condensation,<br />

or nebular theory.<br />

Thus the question was inverted: If the Sun, however<br />

it formed, had so little angular momentum, how did the<br />

planets acquire so much? To explain this excess, various<br />

catastrophic' theories <strong>of</strong> planetary formation were devised.<br />

There were two major versions. In one version, an<br />

original binary companion <strong>of</strong> the Sun destroys itself(or<br />

is destroyed by collision with a third body) leaving<br />

debris, which condenses into the planets. In another<br />

version, a w<strong>and</strong>ering star brushes past the Sun at such<br />

close range that tidal forces draw out filaments <strong>of</strong><br />

matter, which separate into globules <strong>and</strong> cool to form<br />

the<br />

planets.<br />

The catastrophic theories, popular in the early part <strong>of</strong><br />

this century, failed for a variety <strong>of</strong> reasons. Self-destruction<br />

<strong>of</strong> a star produces a nova or supernova in which<br />

much <strong>of</strong> the matter is cast into space in excess <strong>of</strong> escape<br />

velocity <strong>and</strong> the core remains behind as a white dwarf,<br />

or a neutron star. The violence <strong>of</strong> a collision with a third<br />

body would scatter matter in all directions <strong>and</strong> would<br />

hardly produce coplanar <strong>and</strong> circular planetary orbits.<br />

The same objection applies to the globules condensed<br />

from tidal filaments. These could hardly all have had<br />

exactly the right initial velocities to produce the<br />

observed nearly circular orbits <strong>of</strong> the planets. The coup<br />

de grace was Spitzer's demonstration, in the late 1930s,<br />

that hot gases extracted from the Sun in a tidal filament<br />

would explode rather than condense into planets.<br />

The implication <strong>of</strong> all catastrophic theories is that<br />

planetary systems must be extremely rare. Stars are so<br />

widely separated, <strong>and</strong> their orbital motions around the<br />

galactic center are, for the majority, so nearly concentric,<br />

that close encounters might be expected to occur<br />

only a few tens <strong>of</strong> times in the entire history <strong>of</strong> the<br />

Galaxy. Thus in the early twentieth century astronomers<br />

would have rejected the prevalence <strong>of</strong> extraterrestrial life<br />

solely on the basis <strong>of</strong> the scarcity <strong>of</strong> planetary systems.<br />

The last 30 years have seen a return to the nebular<br />

hypothesis, with the newly discovered principles <strong>of</strong><br />

magnetohydrodynamics playing a key role in solving the<br />

angular momentum problem. We should be clear that the<br />

problem is not, as the catastrophic theories supposed, to<br />

explain any angular momentum excess <strong>of</strong> the planets,<br />

but rather to explain the angular momentum deficiency<br />

<strong>of</strong> the Sun. The gas globule that fragmented out <strong>of</strong> the<br />

galactic gas cloud to become the Sun was on the order <strong>of</strong><br />

one light-year across. If it merely shared the general<br />

rotation rate <strong>of</strong> the Galaxy its period <strong>of</strong> rotation would<br />

be about 240 million years. After contracting to a diameter<br />

<strong>of</strong> l0 -3 light-years, which is roughly the diameter <strong>of</strong><br />

the solar system, its rotation rate would be 10 6 times as<br />

fast, or one revolution in 240 years. This is about the<br />

orbital period <strong>of</strong> Pluto <strong>and</strong> so is an appropriate rotation<br />

rate for the planets.<br />

At this stage the cloud would be greatly flattened by<br />

its rotation <strong>and</strong> would consist <strong>of</strong> a disk with a denser,<br />

rapidly rotating, hot central region. Irregular density<br />

distributions in the disk produced nucleation centers for<br />

the formation <strong>of</strong> planets. In the course <strong>of</strong> its contrac-<br />

13

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