grmcdorman
Graduate Poster
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Apollo 11 Lunar Module O2 Consumption
Abstract
In a posting in the James Randi Education Forums, the individual known as Apollo20, who is Dr. Frank Greening, posted a claim that the O2 usage in the Apollo 11 Lunar Module, according to the published figures, was far below the minimal amount that should have been used, based on the expected consumption.
Definitions
CM|Command Module. The Command Module remained in orbit while the LM descended to and landed on the surface.
LM|Lunar Module. (Note that there is an obsolete term, LEM; this term was retired from use well before Apollo 11.)
JREF|James Randi Educational Forums, http://www.internationalskeptics.com/forums .
lbm|Pounds (mass).
GET|Ground Elapsed Time; time from launch of the mission.
Sources
The original post, at JREF: http://www.internationalskeptics.com/forums/showpost.php?p=2764883&postcount=143.
My original rebuttal, also at JREF: http://www.internationalskeptics.com/forums/showpost.php?p=2766085&postcount=169. The original rebuttal contains much the same argument as this post with regards to the basic oxygen consumption.
Discussion at the ApolloHoax forums, http://apollohoax.proboards21.com/: http://apollohoax.proboards21.com/index.cgi?action=display&board=theories&thread=1184426948.
Apollo 11 Lunar Landing Press Kit, NASA, July 6, 1969; available online at http://www.hq.nasa.gov/office/pao/History/alsj/a11/A11_PressKit.pdf (8.5 Mb).
Apollo 11 Mission Report, MSC-00171, November 1969, NASA, available online at http://www.hq.nasa.gov/alsj/a11/A11_MissionReport.pdf (12 Mb).
ECS Quick Reference Data, NASA, last modified 22 September 2005; available online at http://history.nasa.gov/alsj/alsj-ECSQuickRef.html; accessed 15 July 2007.
The History of Manned Spaceflight, David Baker, Ph.D., New Cavendish Books, revised 1985.
Values
Initial O2 Loading
The LM contained three oxygen tanks in the two stages. The descent stage contained one tank, which initially held 48.2 lbm of oxygen. The ascent stage contained two tanks, each containing 2.5 lbm of oxygen (Apollo 11 Mission Report, page 9-34, or page 162 in the PDF). This is a total of 53.2 lbm.
The History of Manned Spaceflight lists standard LM oxygen loading as 21.7 kg (47.8 lbm) in the descent stage, and 1.1 kg (2.4 lbm) in the ascent stage. Given rounding errors and that this was the standard values across all missions, these values are sufficiently close.
Consumption of O2
There were three main items that consumed the oxygen:
For cabin depressurizations, there were two during the stay on the surface. The first was at the start of the EVA; the second was prior to lift-off to jettison unwanted materials. According to the ECS Quick Reference Data, each subsequent repressurization required 6.6 lbm of oxygen, for a total of 13.2 lbm (note, however, that this does not specify if it applied specifically to the Apollo 11 LM, or is a generic average across all LMs). Dr. Greening estimated 12 lbm, which is acceptably close.
For cabin leaks, there are actually two values. The nominal value – which is the design target – was 0.2 lbm/hr. Post mission, however, it was found that the Apollo 11 LM had an actual leak rate of 0.05 lbm/hr (Apollo 11 Mission Report, page 9-33; page 161 in the PDF). Dr. Greening uses the former rate, from page 102 of The NASA Mission Reports. Volume One: Apollo 11, (Robert Godwin, ed., Apogee Books, 1999). The value therein is apparently taken from the Apollo 11 Lunar Landing Press Kit, page 186 (or page 190 of the PDF). In the latter, it is clearly marked as the nominal value.
As such, the actual value must be used when comparing expected oxygen consumption to actual values.
Reported O2 Consumption
The Apollo 11 Mission Report, page 9-34, (page 162 in the PDF) reports the total consumed oxygen, among other figures. For the descent stage, which is the item of interest here, the total consumed oxygen in the descent stage was reported as 17.2 lbm.
Note that all of these values – initial load and consumed mass – are based on telemetered data. According to Jay Utah at the ApolloHoax boards, the sensor “runs the whole dimension of the tank and is spoofed by stratification of temperatures along its length.” In other words, the values can be inaccurate; the level of inaccuracy in the reported values is not clear in the sources I have examined.
There is also some question with regards to reported remaining O2 in the transmission logs; I will return to that later.
Calculations
The period during which the LM was on the descent stage oxygen tank would be the time from the sealing of the docking tunnel between the LM and CM, and the switchover to the ascent stage tanks shortly prior to lunar lift-off. Lacking specific times for these in the record, we can use the undocking for the former and lunar-lift off for the latter; hopefully the two will cancel out. Undocking of the LM and CM occurred at 100:12:00 GET; lunar lift-off occurred at 124:22:00.8 GET, for an elapsed time of 24 hours and 10 minutes (The History of Manned Space-Flight, page 568). I will use 24 hours for the calculations, as this is an approximation anyway. Dr. Greening uses a 25 hour period; it is not clear what this figure is derived from.
Thus, based on this 24 hour period, the expected non-respiration consumption will be (using the above figures) 24x0.05=1.2 lbm for leakage and 12 lbm for cabin re-pressurizations. This is a total of 13.2 lbm, and leaves 17.2 – 13.2 = 4.0 lbm for respiration. The minimal respiration for this period would be 24x0.05x2=2.4 lbm, so the actual respiration usage was actually well above the minimum.
If I use Dr. Greening's 25 hour figure, this is only one additional hour, or an additional 0.05 lbm of leakage, for a respiration of 3.95 lbm versus a minimum of ~ 2.5 lbm.
Conclusion
The claim that the O2 usage figures as reported by NASA for the Apollo 11 LM is not correct. It appears that this claim was made due to inadvertently using the nominal 0.2 lbm/hour leak rate for the LM instead of the actual measured 0.05 lbm/hour.
Transmission Logs
An additional issue raised by Dr. Greening is this transmission (times are GET):
114:31:45|McCandless: Okay. RCS (Reaction Control System, the steering jets) Alpha is 81 percent: RCS Bravo, 75 percent. Coming up on 115 hours GET, descent oxygen is 31.8 pounds or 59 percent; descent amp hours 858 (remaining), and ascent amp hours 574. Over. (Pause)
114:32:28|Aldrin: Roger. Copy. Thank you very much.First, Dr. Greening calls attention to the figures, stating that the percentage quoted doesn't correspond to the mass quoted. This is true if only the descent stage tank is taken into account; if the full load of 53.2 lbm (i.e. both ascent and descent tanks) is used, 31.8 lbm does correspond to 59 percent.
Secondly, Dr. Greening calculates, correctly, that this shows that only 0.9 lbm of oxygen from the descent stage was apparently used in the roughly 10 hour interval between this transmission and lift-off at 124:22:00.8 GET. However, there are several items confounding this conclusion:
In conclusion, I must reject the claim that the reported O2 levels in the transmission is anomalous.
Addendum: Further Data
The Apollo 11 Mission Report contains a fairly detailed breakdown of the astronauts' metabolism and oxygen usage during the EVA, in a table on page 10-3 (page 167 in the PDF). The interested student could use this to further refine the calculations.
Credits & Acknowledgments
I wish to thank Bob B. and Jay Utah on the ApolloHoax forums for providing reference information and information on the tank sensors, respectively. Obviousman also provided a link to the LM ECS summary which included specific values for the amount of oxygen required for LM cabin repressurization. alex04 also made a minor contribution.
Abstract
In a posting in the James Randi Education Forums, the individual known as Apollo20, who is Dr. Frank Greening, posted a claim that the O2 usage in the Apollo 11 Lunar Module, according to the published figures, was far below the minimal amount that should have been used, based on the expected consumption.
Definitions
LM|Lunar Module. (Note that there is an obsolete term, LEM; this term was retired from use well before Apollo 11.)
JREF|James Randi Educational Forums, http://www.internationalskeptics.com/forums .
lbm|Pounds (mass).
GET|Ground Elapsed Time; time from launch of the mission.
Sources
The original post, at JREF: http://www.internationalskeptics.com/forums/showpost.php?p=2764883&postcount=143.
My original rebuttal, also at JREF: http://www.internationalskeptics.com/forums/showpost.php?p=2766085&postcount=169. The original rebuttal contains much the same argument as this post with regards to the basic oxygen consumption.
Discussion at the ApolloHoax forums, http://apollohoax.proboards21.com/: http://apollohoax.proboards21.com/index.cgi?action=display&board=theories&thread=1184426948.
Apollo 11 Lunar Landing Press Kit, NASA, July 6, 1969; available online at http://www.hq.nasa.gov/office/pao/History/alsj/a11/A11_PressKit.pdf (8.5 Mb).
Apollo 11 Mission Report, MSC-00171, November 1969, NASA, available online at http://www.hq.nasa.gov/alsj/a11/A11_MissionReport.pdf (12 Mb).
ECS Quick Reference Data, NASA, last modified 22 September 2005; available online at http://history.nasa.gov/alsj/alsj-ECSQuickRef.html; accessed 15 July 2007.
The History of Manned Spaceflight, David Baker, Ph.D., New Cavendish Books, revised 1985.
Values
Initial O2 Loading
The LM contained three oxygen tanks in the two stages. The descent stage contained one tank, which initially held 48.2 lbm of oxygen. The ascent stage contained two tanks, each containing 2.5 lbm of oxygen (Apollo 11 Mission Report, page 9-34, or page 162 in the PDF). This is a total of 53.2 lbm.
The History of Manned Spaceflight lists standard LM oxygen loading as 21.7 kg (47.8 lbm) in the descent stage, and 1.1 kg (2.4 lbm) in the ascent stage. Given rounding errors and that this was the standard values across all missions, these values are sufficiently close.
Consumption of O2
There were three main items that consumed the oxygen:
- Astronaut respiration.
- Cabin depressurizations (or more precisely, repressurizations after a depressurization).
- Cabin leaks.
For cabin depressurizations, there were two during the stay on the surface. The first was at the start of the EVA; the second was prior to lift-off to jettison unwanted materials. According to the ECS Quick Reference Data, each subsequent repressurization required 6.6 lbm of oxygen, for a total of 13.2 lbm (note, however, that this does not specify if it applied specifically to the Apollo 11 LM, or is a generic average across all LMs). Dr. Greening estimated 12 lbm, which is acceptably close.
For cabin leaks, there are actually two values. The nominal value – which is the design target – was 0.2 lbm/hr. Post mission, however, it was found that the Apollo 11 LM had an actual leak rate of 0.05 lbm/hr (Apollo 11 Mission Report, page 9-33; page 161 in the PDF). Dr. Greening uses the former rate, from page 102 of The NASA Mission Reports. Volume One: Apollo 11, (Robert Godwin, ed., Apogee Books, 1999). The value therein is apparently taken from the Apollo 11 Lunar Landing Press Kit, page 186 (or page 190 of the PDF). In the latter, it is clearly marked as the nominal value.
As such, the actual value must be used when comparing expected oxygen consumption to actual values.
Reported O2 Consumption
The Apollo 11 Mission Report, page 9-34, (page 162 in the PDF) reports the total consumed oxygen, among other figures. For the descent stage, which is the item of interest here, the total consumed oxygen in the descent stage was reported as 17.2 lbm.
Note that all of these values – initial load and consumed mass – are based on telemetered data. According to Jay Utah at the ApolloHoax boards, the sensor “runs the whole dimension of the tank and is spoofed by stratification of temperatures along its length.” In other words, the values can be inaccurate; the level of inaccuracy in the reported values is not clear in the sources I have examined.
There is also some question with regards to reported remaining O2 in the transmission logs; I will return to that later.
Calculations
The period during which the LM was on the descent stage oxygen tank would be the time from the sealing of the docking tunnel between the LM and CM, and the switchover to the ascent stage tanks shortly prior to lunar lift-off. Lacking specific times for these in the record, we can use the undocking for the former and lunar-lift off for the latter; hopefully the two will cancel out. Undocking of the LM and CM occurred at 100:12:00 GET; lunar lift-off occurred at 124:22:00.8 GET, for an elapsed time of 24 hours and 10 minutes (The History of Manned Space-Flight, page 568). I will use 24 hours for the calculations, as this is an approximation anyway. Dr. Greening uses a 25 hour period; it is not clear what this figure is derived from.
Thus, based on this 24 hour period, the expected non-respiration consumption will be (using the above figures) 24x0.05=1.2 lbm for leakage and 12 lbm for cabin re-pressurizations. This is a total of 13.2 lbm, and leaves 17.2 – 13.2 = 4.0 lbm for respiration. The minimal respiration for this period would be 24x0.05x2=2.4 lbm, so the actual respiration usage was actually well above the minimum.
If I use Dr. Greening's 25 hour figure, this is only one additional hour, or an additional 0.05 lbm of leakage, for a respiration of 3.95 lbm versus a minimum of ~ 2.5 lbm.
Conclusion
The claim that the O2 usage figures as reported by NASA for the Apollo 11 LM is not correct. It appears that this claim was made due to inadvertently using the nominal 0.2 lbm/hour leak rate for the LM instead of the actual measured 0.05 lbm/hour.
Transmission Logs
An additional issue raised by Dr. Greening is this transmission (times are GET):
114:32:28|Aldrin: Roger. Copy. Thank you very much.
Secondly, Dr. Greening calculates, correctly, that this shows that only 0.9 lbm of oxygen from the descent stage was apparently used in the roughly 10 hour interval between this transmission and lift-off at 124:22:00.8 GET. However, there are several items confounding this conclusion:
- The values reported are based on the (telemetered) sensor data. As mentioned above, if there is a temperature stratification in the tank, the sensor can report incorrect data.
- For a substantial portion of this period – 114:52:57 to 120:59:04 GET, to be precise, or 6 hours – the crew was sleeping (or attempting to sleep, at least). This would reduce the crew's metabolism and therefore oxygen consumption.
- The crew would have switched to the ascent stage tanks prior to the lift-off at 124:22:00.8 GET. Thus, the time will be less – possibly substantially less, depending on when the switchover occurred. (The transmission logs do not show when this occurred).
- Further, a subsequent transmission provided a new value for the oxygen levels:
Note that the reported descent O2 is 62 percent. This is actually greater than the previous report, and corresponds to 33 lbm. The discrepancy, presumably, is due to the sensor inaccuracy in one or both reports.123:14:45|Evans:And, Tranquility, I have a LM consumables update for you.
123:14:53|Aldrin: Roger. Ready to copy.
123:14:55|Evans: Okay. At plus 123 plus 00, RCS Alpha 78, (repeating) seventy eight percent, PQMD; Bravo is 76 percent PQMD; descent O 2 is 62, sixty-two percent. Descent ampere hours are 590...590 remaining; ascent ampere hours are 574, 574 remaining. Over.
In conclusion, I must reject the claim that the reported O2 levels in the transmission is anomalous.
Addendum: Further Data
The Apollo 11 Mission Report contains a fairly detailed breakdown of the astronauts' metabolism and oxygen usage during the EVA, in a table on page 10-3 (page 167 in the PDF). The interested student could use this to further refine the calculations.
Credits & Acknowledgments
I wish to thank Bob B. and Jay Utah on the ApolloHoax forums for providing reference information and information on the tank sensors, respectively. Obviousman also provided a link to the LM ECS summary which included specific values for the amount of oxygen required for LM cabin repressurization. alex04 also made a minor contribution.
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