Problem 29 Why are comets more likely to br... [FREE SOLUTION]

Chapter 15: Problem 29

Why are comets more likely to break apart at perihelion than at aphelion?

Short Answer

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Comets are more likely to break apart at perihelion than at aphelion because they face stronger gravitational forces from the Sun, and receive more solar radiation which causes higher rates of volatile material evaporation, leading to gas and dust jets that can disintegrate the comet. These forces are significantly reduced at the aphelion.

Step by step solution

Understanding Celestial Mechanics

A comet's orbit around the Sun is elliptical, with the sun at one of the two foci. This means that the distance from the Sun to the comet isn't constant. It varies throughout the comet's orbit. The point at which the comet is closest to the sun is called its perihelion. The point at which the comet is farthest from the sun is called its aphelion.

Understanding the Effects of Gravitational Forces

At perihelion, the gravitational pull of the Sun on the comet is strongest. This could lead to tidal forces that can help break apart a loosely consolidated comet nucleus.

Understanding the Effects of Solar Radiation

When the comet is near perihelion, it receives the highest amount of solar radiation, causing the ices in the comet to vaporize at a high rate and creating strong jets of gas and dust. These can provide additional forces that can help disintegrate the comet.

Relating the Aphelion and Comet Breakup

At aphelion, the comet is furthest from the Sun, receiving much less solar radiation and experiencing much less tidal forces. Therefore, it is less likely to break apart at this point in its orbit.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Celestial Mechanics

When studying comets, celestial mechanics is an essential key topic. It helps us understand how these fascinating celestial bodies move through space. Comets, like planets and other celestial objects, follow predictable orbits due to the gravitational interactions in the solar system.
A comet鈥檚 orbit typically takes a distinctive shape called an ellipse. Imagine an oval track rather than a perfect circle. In an elliptical orbit, there are two special points: the perihelion and the aphelion.

Perihelion: This is the point where the comet is closest to the Sun. At this point, the comet travels faster due to the Sun鈥檚 gravity pulling it closer.
Aphelion: This is the farthest point from the Sun in the comet's orbit. Here, the comet moves more slowly as the gravitational pull is weaker.

Understanding these points is crucial as they explain why a comet might behave differently at different stages of its orbit.

Gravitational Forces

Gravitational forces are what bind the solar system together, dictating the motion of celestial bodies. When it comes to comets, these forces play a significant role, especially when considering the comet's position in its orbit.
At perihelion, the gravitational force exerted by the Sun on the comet reaches its peak. This heightened gravity is primarily due to the comet's proximity to the Sun. The closer the comet, the stronger the gravitational pull.

This increased gravitational force can result in tidal stresses. These stresses can stretch and strain the nucleus of the comet, which might be rather fragile in structure.
In some cases, these stresses are strong enough to fracture or shatter the nucleus, resulting in the comet's breakup at perihelion.

Thus, the gravitational forces significantly influence a comet's structural integrity as it travels through its orbit.

Solar Radiation Effects

Solar radiation is another principal factor affecting comets, particularly as they move near the Sun. Composed mainly of ice, dust, and rock, comets react vividly to the intense heat and light from the Sun.
At perihelion, a comet experiences the highest levels of solar radiation. This radiation rapidly heats the ices within the comet, causing them to vaporize quickly.

The vaporizing of ices forms jets of gas and dust that shoot out from the comet. These jets can create additional forces that push against and disrupt the comet's nucleus.
This can lead to the comet breaking apart as it struggles to maintain its integrity against both solar radiation and gravitational forces.

Thus, solar radiation contributes heavily to the comet's lifespan and behavior, emphasizing why many comets are prone to disintegration near perihelion.

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Why are comets more likely to break apart at perihelion than at aphelion?

Short Answer

Step by step solution

Understanding Celestial Mechanics

Understanding the Effects of Gravitational Forces

Understanding the Effects of Solar Radiation

Relating the Aphelion and Comet Breakup

Key Concepts

Celestial Mechanics

Gravitational Forces

Solar Radiation Effects

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