Continuing with 'Moongate The NASA/Military Cover-Up by William L. Brian II....

...Writers covering the Apollo missions consistently reported that the spacecraft were traveling less than 6,000 miles per hour when they reached the Moon. This was after they had passed the neutral point traveling slightly more than 2,000 miles per hour. The author has not seen calculations by the above writers which derive the velocity attained at the time the spacecraft reached the Moon. Therefore, it is reasonable to assume that NASA directly or indirectly supplied the information. A glaring inconsistency arises when the facts and figures are examined.

To begin with, the 43,495-mile neutral point distance and one-sixth gravity are incompatible as explained in Chapters 2 and 3. In Space Frontier written in 1971, Wernher von Braun gave the velocities of Apollo 8 at the neutral point and when it reached the moon as 2,200 miles per hour and 5,700 miles per hour, respectively.1 In the same discussion he mentioned that lunar gravity took over at a point 38,900 miles from the Moon, where the craft began speeding up again. In working out the mathematics of velocity in going from the neutral point to the Moon, the only way the craft could reach the Moon traveling less than 6,000 miles per hour would be if one sixth gravity is assumed. If one-sixth gravity is assumed, the neutral point is around 24,000 miles from the Moon, not 38,900. Therefore, the craft would continue to lose velocity in its coast from the Earth until it reached a point about 24,000 miles from the Moon. But this is not what the above von Braun reference said. Either the greater neutral point distance is correct with its high lunar gravity ramifications or the greater neutral point distance is wrong and one-sixth gravity exists on the Moon. Why did Wernher von Braun publish this conflicting information?

The following information is given to show the ramifications of a high lunar gravity on the velocity when reaching the Moon. One-sixth lunar gravity would accelerate the craft to a velocity of somewhat less than 6,000 miles per hour, while a 64-percent lunar gravity would boost the final velocity considerably higher.
https://exploringrealhistory.blogspot.com/2021/02/part-2-moongate-nasamilitary-cover.html