utorial An asteroid has a 5:1 orbital resonance with Jupiter. What is its orbital period (in years)?

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An asteroid has a 5:1 orbital resonance with Jupiter. What is its orbital period (in years)?
How far is it from the Sun in AU?
How does the distance between the orbits of Mars and the asteroid compare to the distance between the
orbits of Mars and Jupiter?
Part 1 of 3
Orbital resonances compare how many orbits a body, in this case an asteroid, makes in terms of the orbit of a
much larger body, in this case Jupiter. We can write resonances as (number of orbits of smaller body):
(number of orbits of larger body).
Na:N,
If we want to know the orbital period of the smaller body, we can express this as a relation. The second
number tells us how many times the larger body orbits and the first number tells us how many times the
smaller body orbits. If we want the orbital period, we just take the ratio of these and multiply by the orbital
period of the larger body.
N,
Pa
Na
An asteroid has a 5:1 orbital resonance with Jupiter. What is its orbital period?
P. =
years
Transcribed Image Text:Tutorial An asteroid has a 5:1 orbital resonance with Jupiter. What is its orbital period (in years)? How far is it from the Sun in AU? How does the distance between the orbits of Mars and the asteroid compare to the distance between the orbits of Mars and Jupiter? Part 1 of 3 Orbital resonances compare how many orbits a body, in this case an asteroid, makes in terms of the orbit of a much larger body, in this case Jupiter. We can write resonances as (number of orbits of smaller body): (number of orbits of larger body). Na:N, If we want to know the orbital period of the smaller body, we can express this as a relation. The second number tells us how many times the larger body orbits and the first number tells us how many times the smaller body orbits. If we want the orbital period, we just take the ratio of these and multiply by the orbital period of the larger body. N, Pa Na An asteroid has a 5:1 orbital resonance with Jupiter. What is its orbital period? P. = years
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