Please explain in full detail as I am trying to understand this concept! thank you! a. Sketch a diagram including Earth, Sun, and Mars, with attention to scale of distance (Mars is about 1.5 AU from the Sun) showing a faster trajectory from Earth to Mars than the minimal energy trajectory discussed in the lecture. b. Without doing a calculation, how would the arrival velocity of the spacecraft at Mars for the case in (a) compare to the spacecraft arrival in the class example? The lecture example had the spacecraft arriving at Mars with a velocity of 22.49 km/sec. c. The average velocity of Mars in orbit around the Sun is 24.08 km/sec. Comment on the trade-offs between trajectories, arrival velocities and velocity changes (delta V) required to enter an orbit around Mars.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 14PQ: Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility...
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Please explain in full detail as I am trying to understand this concept! thank you!
a. Sketch a diagram including Earth, Sun, and Mars, with attention to scale of distance (Mars is about 1.5 AU from the Sun) showing a faster trajectory from Earth to Mars than the minimal energy trajectory discussed in the lecture.
b. Without doing a calculation, how would the arrival velocity of the spacecraft at Mars for the case in (a) compare to the spacecraft arrival in the class example? The lecture example had the spacecraft arriving at Mars with a velocity of 22.49 km/sec.
c. The average velocity of Mars in orbit around the Sun is 24.08 km/sec. Comment on the trade-offs between trajectories, arrival velocities and velocity changes (delta V) required to enter an orbit around Mars.

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