21.5 hours on the lunar surface
Distance to the moon: 238,900 mi
Length of VAB =37000 miles
Time to the moon:
Translunar injection engine cutout 1:40:50
Lunar orbit insertion 63:23:27
Elapsed time: 61:43:37
Average rate of travel: 238900 miles/ 61.76666 hours = 3870.92 miles/hour
We know that Apollo 11 entered the TLI at 24200 mph @ 12:22
We know that 2 hrs. and 32 minutes later it had traveled 22000 miles
22000/2.53 hrs. = an average speed of 8695.65 mph.
We know that the VAB is 37000 miles long
22000/37000 = 59.5% of the VAB had been crossed
After 2.53 hours the Apollo 11 was traveling 12,914 feet per second.
12914 ft/sec * 3600sec/hr * 1 mile/5280 ft = 8805 mph
37000-22000 =15000 miles of VAB left to travel @ 8805 mph slowing
15000 miles/8805/miles/hr = 1.7 hrs plus 2.53 hours = 4.23 hours but let’s round it to 4.30 because the Apollo was in constant deceleration throughout the VAB transit.
Now the lowest radiation area in all of the VAB is the blue region which is .0001 rad/sec
.0001 rad/sec * 4.5 hrs * 3600 sec/hr * 10 mgy/rad = 5.22 mgy
5.22 mgy/8days = 0.6525 mgy/day
Now if we assume GCR of .24 mg/day and lunar radiation raises that 35% then 1.35* .24 mg/day = .324 mg/day for 2 days lunar orbit and 1 day on the surface or 3 days.
.324 mg/day * 3 days = .972 mgy
.972 mgy from lunar orbit and lunar landing plus 5.22 mgy from VAB transit plus 5.22 mgy return transit through the VAB = 11.412 mgy
11.412 mgy/8.33 days = 1.369 or as I originally said a full magnitude less than it should be.
https://history.nasa.gov/ap11ann/apollo11_log/log.htm
It really is amusing how you don't understand much beyond basic physics and math. The spacecraft will be travelling at its fastest during its transit through the VAB's, after its TLI burn, then slowly decelerating until it reached the Earth/Moon Lagrangian point. You cannot use the average to determine the speed at any specific point, but I hold no hope that you will get this, as you probably still do not understand how averages work. So, to be crystal clear, from your own reference contained in the above quote:
"12:22 p.m.- Another firing of the third-stage engine, still attached to the command service module, boosts Apollo 11 out of orbit midway in its second trip around the Earth and onto its lunar trajectory at an initial speed of 24,200 miles an hour."
You also omitted the fact that the radiation levels you used for the blue portion(s) of the VABs is for UNSHIELDED people/detectors, and the lower the energies of the electrons (the lowest of which are the ones seen in the blue portions of the illustration), the higher the attenuation rate of the shielding in the Apollo spacecraft (meaning MUCH lower doses to the astronauts).
So, in essence, you provided more numbers, but indicate you don't understand their significance and you have erroneously assumed factors that are completely off-base for accurate calculations. Therefor, your entire worksheet above is an immaterial labor.
