An estimate of the global minimum DV needed for earth-moon transfer

An estimate is found for a lower bound on the Delta V needed for any trajectory which starts at 167 km altitude circular earth orbit and ends in a 100 km altitude circular polar lunar orbit. The analysis used involves calculations of Jacobi's integral in a circular restricted three-body problem which approximates the earth-moon transfer problem. The result is an estimate that any such trajectory will require Delta Vs of at least 3099 km/s to leave the neighborhood of earth and at least 0.622 km/s to achieve the desired orbit around the moon, for a total of 3721 km/s.