Concept explainers
(a)
The distance from the center of Venus to point
Answer to Problem 12.106P
The distance from the center of Venus to point
Explanation of Solution
Given information:
If the trajectory is an elliptical orbit,
Calculation:
Consider the first transfer elliptical orbit,
Consider the first transfer elliptical orbit,
Since,
The distance from the center of Venus to point
(b)
The amounts by which the velocity of the probe should be reduced at
Answer to Problem 12.106P
The velocity reduction at point
The velocity reduction at point
Explanation of Solution
Given information:
Angular momentum of a unit mass,
If the trajectory is an elliptical orbit,
Initial velocity corresponding to a circular orbit,
Calculation:
From Part (a),
Consider the first transfer elliptical orbit,
Then consider the second transfer elliptical orbit,
Since,
Applying angular momentum equation for second elliptic orbit,
Therefore the velocity reduction at point
Consider the second transfer elliptical orbit,
Then consider the circular orbit at
Since,
Therefore, the velocity reduction at point
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Chapter 12 Solutions
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