Solve the Problem $v _ { 0 }$ In the Equation $e = \frac { r _ { 0 } v _ { 0 } ^ { 2 } } { G M } - 1$

question 92

Multiple Choice

Solve the problem.
-Find the values of $v _ { 0 }$ in the equation $e = \frac { r _ { 0 } v _ { 0 } ^ { 2 } } { G M } - 1$ that make the orbit described by $r = \frac { ( 1 + e ) r _ { 0 } } { 1 + e \cos \theta }$ parabolic.

• A) \(v _ { 0 } = 2 G M\)
• B) \(v _ { 0 } = \frac { 2 G M } { r _ { 0 } }\)
• C) \(v _ { 0 } = \sqrt { \frac { 2 G M } { r _ { 0 } } }\)
• D) \(\mathrm { v } _ { 0 } = \sqrt { 2 \mathrm { GMr } 0 }\)

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