5.29 A lunar probe has the following position and velocity vectors as expressed in a rotating coordinate system with its origin at the Earth-moon barycenter: r = 146,810 1.3137 73,045 km, Vrot = 0.3808 km/s 0 0 Show that this lunar probe is capable of reaching the vicinity of the moon includ- ing the Lagrangian points L₁ and L2. Can this satellite possibly reach the Lagran- gian point L3?
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