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

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) $\mathrm { v } _ { 0 } = \sqrt { 2 \mathrm { GMr } 0 }$