Question

4. A geosynchronous satellite, which always remains above the same point on a planet's equator, is put in orbit around Jupiter to study that planet's red spot. Jupiter rotates once every 9.9 h. (a) Calculate the altitude of the satellite. i. Answer first in terms of given variables and fundamental constants. ii. Make an order-of-magnitude estimate of the answer. iii. Determine a value for this altitude to two digits. iiii. Compare your answer to the radius of Jupiter, i.e. "____ times Jupiter's radius." Probe A is in geosynchronous orbit, as calculated above. Identical Probe B, however, rests on the "surface" of Jupiter and rotates with the planet. (b) Rank the magnitudes of the following gravitational forces from greatest to least. If two or more quantities are the same, say so clearly. Justify your ranking. I. the force of Jupiter on space probe A II. the force of Jupiter on space probe B III. the force of space probe A on Jupiter IIII. the force of space probe B on Jupiter V. the force of space probe A on space probe B VI. the force of space probe B on space probe A

          4. A geosynchronous satellite, which always remains above the same
point on a planet's equator, is put in orbit around Jupiter to study
that planet's red spot. Jupiter rotates once every 9.9 h.
(a) Calculate the altitude of the satellite.
i. Answer first in terms of given variables and fundamental
constants.
ii. Make an order-of-magnitude estimate of the answer.
iii. Determine a value for this altitude to two digits.
iiii. Compare your answer to the radius of Jupiter, i.e. "____ times
Jupiter's radius."
Probe A is in geosynchronous orbit, as calculated above. Identical
Probe B, however, rests on the "surface" of Jupiter and rotates with
the planet.
(b) Rank the magnitudes of the following gravitational forces from
greatest to least. If two or more quantities are the same, say so
clearly. Justify your ranking.
I. the force of Jupiter on space probe A
II. the force of Jupiter on space probe B
III. the force of space probe A on Jupiter
IIII. the force of space probe B on Jupiter
V. the force of space probe A on space probe B
VI. the force of space probe B on space probe A

4. A geosynchronous satellite, which always remains above the same
point on a planet's equator, is put in orbit around Jupiter to study
that planet's red spot. Jupiter rotates once every 9.9 h.
(a) Calculate the altitude of the satellite.
i. Answer first in terms of given variables and fundamental
constants.
ii. Make an order-of-magnitude estimate of the answer.
iii. Determine a value for this altitude to two digits.
iiii. Compare your answer to the radius of Jupiter, i.e. " times
Jupiter's radius."
Probe A is in geosynchronous orbit, as calculated above. Identical
Probe B, however, rests on the "surface" of Jupiter and rotates with
the planet.
(b) Rank the magnitudes of the following gravitational forces from
greatest to least. If two or more quantities are the same, say so
clearly. Justify your ranking.
I. the force of Jupiter on space probe A
II. the force of Jupiter on space probe B
III. the force of space probe A on Jupiter
IIII. the force of space probe B on Jupiter
V. the force of space probe A on space probe B
VI. the force of space probe B on space probe A

Added by Brian F.

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