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Chapter 15--Our Sun - Geological Sciences

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large decrease in<br />

rate of fusion<br />

slight decrease in<br />

core temperature<br />

slight rise in<br />

core temperature<br />

large rise in<br />

rate of fusion<br />

Solar<br />

Thermostat:<br />

Gravitational<br />

Equilibrium<br />

Because the energy<br />

supply is diminished,<br />

gravity starts to<br />

overcome thermal<br />

pressure.<br />

Increased energy<br />

output enables<br />

thermal pressure<br />

to overcome<br />

gravity.<br />

Gravity compresses<br />

the core, heats it up,<br />

and restores fusion<br />

rate to normal value.<br />

Increased thermal<br />

pressure causes the<br />

core to expand and then<br />

cool, which restores fusion<br />

rate to normal value.<br />

Figure <strong>15</strong>.8 The solar thermostat. Gravitational equilibrium regulates the <strong>Sun</strong>’s core temperature. Everything<br />

is in balance if the amount of energy leaving the core equals the amount of energy produced by<br />

fusion. A rise in core temperature triggers a chain of events that causes the core to expand, lowering its<br />

temperature to its normal value. A decrease in core temperature triggers the opposite chain of events,<br />

also restoring the normal core temperature.<br />

<strong>Sun</strong>, observations of “sun quakes,” and observations of<br />

solar neutrinos.<br />

Mathematical Models The primary way we learn about<br />

the interior of the <strong>Sun</strong> and other stars is by creating mathematical<br />

models that use the laws of physics to predict the<br />

internal conditions. A basic model uses the <strong>Sun</strong>’s observed<br />

composition and mass as inputs to equations that describe<br />

gravitational equilibrium, the solar thermostat, and the<br />

rate at which solar energy moves from the core to the photosphere.<br />

With the aid of a computer, we can use the model<br />

to calculate the <strong>Sun</strong>’s temperature, pressure, and density<br />

at any depth. We can then predict the rate of nuclear fusion<br />

in the solar core by combining these calculations with<br />

knowledge about nuclear fusion gathered in laboratories<br />

here on Earth.<br />

Remarkably, such models correctly “predict” the radius,<br />

surface temperature, luminosity, age, and many other<br />

properties of the <strong>Sun</strong>. However, current models do not<br />

predict everything about the <strong>Sun</strong> correctly. Scientists are<br />

constantly working to discover what is missing from them.<br />

Successful prediction of so many observed characteristics<br />

of the <strong>Sun</strong> gives us confidence that the models are on the<br />

right track and that we really do understand what is going<br />

on inside the <strong>Sun</strong>.<br />

<strong>Sun</strong> Quakes A second way to learn about the inside of<br />

the <strong>Sun</strong> is to observe “sun quakes”—vibrations of the <strong>Sun</strong><br />

that are similar to the vibrations of the Earth caused by<br />

earthquakes, although they are generated very differently.<br />

Earthquakes occur when Earth’s crust suddenly shifts, generating<br />

seismic waves that propagate through Earth’s interior<br />

[Section 10.2].We can learn about Earth’s interior by recording<br />

seismic waves on Earth’s surface with seismographs.<br />

<strong>Sun</strong> quakes result from waves of pressure (sound waves)<br />

that propagate deep within the <strong>Sun</strong> at all times. These<br />

waves cause the solar surface to vibrate when they reach<br />

it. Although we cannot set up seismographs on the <strong>Sun</strong>,<br />

we can detect the vibrations of the surface by measuring<br />

Doppler shifts [Section 6.5]. Light from portions of the surface<br />

that are rising toward us is slightly blueshifted, while<br />

light from portions that are falling away from us is slightly<br />

redshifted. The vibrations are relatively small but measurable<br />

(Figure <strong>15</strong>.9).<br />

504 part V • Stellar Alchemy

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