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If our estimate is reasonable and there are 10 13 comets with this mass out there, their total mass would be equal to about 1000 Earths—comparable to the mass of all the planets put together. Therefore, icy, cometary material could be the most important constituent of the solar system after the Sun itself.

Mass of the oort cloud comets

Suppose the Oort cloud contains 10 12 comets with an average diameter of 10 km each. Let’s estimate the mass of the total Oort cloud.

Solution

We can start by assuming that typical comets are about the size of Comets Halley and Borrelly, with a diameter of 10 km and a density appropriate to water ice, which is about 1 g/cm 3 or 1000 kg/m 3 . We know that density = mass/volume, the volume of a sphere, V = 4 3 π R 3 , and the radius, R = 1 2 D . Therefore, for each comet,

mass = density × volume = density × 4 3 π ( 1 2 D ) 3

Given that 10 km = 10 4 m, each comet’s mass is

mass = 1000 kg/m 3 × 4 3 × 3.14 × 1 8 × ( 10 4 ) 3 m 3 10 15 kg = 10 12 tons

To calculate the total mass of the cloud, we multiply this typical mass for one comet by the number of comets:

total mass = 10 15 kg/comet × 10 12 comets = 10 27 kg

Check your learning

How does the total mass we calculated above compare to the mass of Jupiter? To the mass of the Sun? (Give a numerical answer.)

Answer:

The mass of Jupiter is about 1.9 × 10 27 kg. The mass of the Oort cloud calculated above is 10 27 kg. So the cloud would contain about half a Jupiter of mass. The mass of the Sun is 2 × 10 30 kg. This means the Oort cloud would be
10 27 kg ( 2 × 10 30 kg ) = 0.0005 × the mass of the Sun

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Early evolution of the planetary system

Comets from the Oort cloud help us sample material that formed very far from the Sun, whereas the short-period comets from the Kuiper belt sample materials that were planetesimals in the solar nebula disk but did not form planets. Studies of the Kuiper belt also are influencing our understanding of the early evolution of our planetary system.

The objects in the Oort cloud and the Kuiper belt have different histories, and they may therefore have different compositions. Astronomers are therefore very interested in comparing detailed measurements of the comets derived from these two source regions. Most of the bright comets that have been studied in the past (Halley, Hyakutake, Hale-Bopp) are Oort cloud comets, but P67 and several other comets targeted for spacecraft measurements in the next decade are Jupiter -family comets from the Kuiper belt (see [link] ).

The Kuiper belt    is made up of ice-and rock planetesimals, a remnant of the building blocks of the planets. Since it is gravitationally linked to Neptune, it can help us understand the formation and history of the solar system. As the giant planets formed, their gravity profoundly influenced the orbits of Kuiper belt objects. Computer simulations of the early evolution of the planetary system suggest that the gravitational interactions between the giant planets and the remaining planetesimals caused the orbit of Jupiter to drift inward, whereas the orbits of Saturn, Uranus, and Neptune all expanded, carrying the Kuiper belt with them.

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Source:  OpenStax, Astronomy. OpenStax CNX. Apr 12, 2017 Download for free at http://cnx.org/content/col11992/1.13
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