Use the information in Table 6.1 to compare the angular momentum in Earth's orbital motion, Jupiter's orbital motion and Pluto's orbital motion
Which factor seems to be most significant to the orbital angular momentum of these bodies: radius, mass or angular speed? Why?
Since looking at the ratios of the angular momentums of these bodies will suffice, we can leave the units alone. So angular momentum is proportional to mass × angular speed × radius of the orbit2.
For Earth, this is 1 Earth mass × 1/(1 Earth year) × (1 AU)2 = 1
Jupiter: 318 × 1/11.9 × (11.2)2 = 3350 times Earth's orbital angular momentum
Pluto: 0.002 × 1/248 × (39.5)2 = 0.013 times Earth's orbital angular momentum
The radius of the orbit (approximated by the semi-major axis) is most significant because it is squared in the relationship. We can see this by comparing Pluto and Earth. Even though Pluto is only 0.2% of the Earth's mass, it has more than 1% of the Earth's orbital angular momentum.
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