4. Determine the flight for a solar probe which will use a Venus flyby in to move into an orbit inside the orbit of Venus right after the flyby. The probe arrives at Venus with a Hohmann transfer from Earth. Assume Venus does not have an atmosphere; assume circular orbits for the planets. a. Given that the probe is to be deflected towards the sun, on which side of Venus must the flyby occur (the sunlit side, or the dark side)? b. What is the difference in velocity between the probe and Venus when the probe enters into Venus Sol? (Tip: this is v.) [Answer: -2.729km/s] c. What is the maximum possible deflection angle during the Venus flyby? What would be the periapsis radius of such a flyby? Sketch the approach and departure velocities using Venus-centered coordinates. [Answer: 50.02°] d. By what angle is the probe deflected relative to the sun? [Answer: 3.567°]

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter7: Rotational Motion And Gravitation
Section: Chapter Questions
Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77...
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4. Determine the flight for a solar probe which will use a Venus flyby in to move into an orbit
inside the orbit of Venus right after the flyby. The probe arrives at Venus with a Hohmann
transfer from Earth. Assume Venus does not have an atmosphere; assume circular
orbits for the planets.
a. Given that the probe is to be deflected towards the sun, on which side of Venus
must the flyby occur (the sunlit side, or the dark side)?
b. What is the difference in velocity between the probe and Venus when the probe
enters into Venus Sol? (Tip: this is v.) [Answer: -2.729km/s]
c. What is the maximum possible deflection angle during the Venus flyby? What
would be the periapsis radius of such a flyby? Sketch the approach and
departure velocities using Venus-centered coordinates. [Answer: 50.02°]
d. By what angle is the probe deflected relative to the sun? [Answer: 3.567°]
Transcribed Image Text:4. Determine the flight for a solar probe which will use a Venus flyby in to move into an orbit inside the orbit of Venus right after the flyby. The probe arrives at Venus with a Hohmann transfer from Earth. Assume Venus does not have an atmosphere; assume circular orbits for the planets. a. Given that the probe is to be deflected towards the sun, on which side of Venus must the flyby occur (the sunlit side, or the dark side)? b. What is the difference in velocity between the probe and Venus when the probe enters into Venus Sol? (Tip: this is v.) [Answer: -2.729km/s] c. What is the maximum possible deflection angle during the Venus flyby? What would be the periapsis radius of such a flyby? Sketch the approach and departure velocities using Venus-centered coordinates. [Answer: 50.02°] d. By what angle is the probe deflected relative to the sun? [Answer: 3.567°]
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