TutorialYou send a probe to orbit Mercury at 195 km above the surface. What orbital velocity (in km/s) is needed tokeep it in orbit? (The mass of Mercury is 3.30 x 1023 kg, and the radius of Mercury is 2.44 x 103 km.)What is the ratio of the time it takes a signal from Earth to reach Mercury (d = 57.9 x 106 km) to the time itwould take to reach the Moon (d = 384,400 km)?If your signal is at 8 cm, what is the wavelength shift (in cm) at this orbital velocity? (Assume the probe is ata point in its orbit in which it is moving directly away from the Earth.)Part 1 of 4The orbital velocity is just the circular velocity.GMwhere the distance is the distance above the surface plus the radius of Mercury.GM,"Mercury-kgV. =km/s

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You send a probe to orbit Mercury at 195 km above the surface. What orbital velocity (in km/s) is needed to keep it in orbit? (The mass of Mercury is 3.30 x 1023 kg, and the radius of Mercury is 2.44 x 10° km.)

You send a probe to orbit Mercury at 195 km above the surface. What orbital velocity (in km/s) is needed to keep it in orbit? (The mass of Mercury is 3.30 x 1023 kg, and the radius of Mercury is 2.44 x 10° km.)

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.40P

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Question

Tutorial
You send a probe to orbit Mercury at 195 km above the surface. What orbital velocity (in km/s) is needed to
keep it in orbit? (The mass of Mercury is 3.30 x 1023 kg, and the radius of Mercury is 2.44 x 103 km.)
What is the ratio of the time it takes a signal from Earth to reach Mercury (d = 57.9 x 106 km) to the time it
would take to reach the Moon (d = 384,400 km)?
If your signal is at 8 cm, what is the wavelength shift (in cm) at this orbital velocity? (Assume the probe is at
a point in its orbit in which it is moving directly away from the Earth.)
Part 1 of 4
The orbital velocity is just the circular velocity.
GM
where the distance is the distance above the surface plus the radius of Mercury.
GM,
"Mercury-kg
V. =
km/s

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