Editing Hafele–Keating experiment (section)

===Results===
The results were published in ''[[Science (journal)|Science]]'' in 1972:<ref name=paper1>{{Cite journal | last1 = Hafele | first1 = J. C. | author-link1 = Joseph C. Hafele | last2 = Keating | first2 = R. E. | author-link2 = Richard E. Keating | doi = 10.1126/science.177.4044.166 | title = Around-the-World Atomic Clocks: Predicted Relativistic Time Gains | journal = [[Science (journal)|Science]] | volume = 177 | issue = 4044 | pages = 166–168 | date = July 14, 1972 | pmid = 17779917 | bibcode = 1972Sci...177..166H | s2cid = 10067969 | ref = {{harvid|Hafele|Keating|1972a}} | url = http://www.personal.psu.edu/rq9/HOW/Atomic_Clocks_Predictions.pdf | access-date = March 30, 2017 | archive-date = March 31, 2017 | archive-url = https://web.archive.org/web/20170331121014/http://www.personal.psu.edu/rq9/HOW/Atomic_Clocks_Predictions.pdf | url-status = dead }}</ref><ref name=paper2>{{Cite journal | last1 = Hafele | first1 = J. C. | author-link1 = Joseph C. Hafele | last2 = Keating | first2 = R. E. | author-link2 = Richard E. Keating | doi = 10.1126/science.177.4044.168 | title = Around-the-World Atomic Clocks: Observed Relativistic Time Gains | journal = Science | volume = 177 | issue = 4044 | pages = 168–170 | date = July 14, 1972 | pmid = 17779918 | bibcode = 1972Sci...177..168H | s2cid = 37376002 | ref = {{harvid|Hafele|Keating|1972b}} | url = http://www.personal.psu.edu/rq9/HOW/Atomic_Clocks_Experiment.pdf | access-date = March 30, 2017 | archive-date = March 31, 2017 | archive-url = https://web.archive.org/web/20170331121107/http://www.personal.psu.edu/rq9/HOW/Atomic_Clocks_Experiment.pdf | url-status = dead }}</ref>

{| class="wikitable" style="text-align: center"
| rowspan=2 | 
! colspan=3 | [[nanoseconds]] gained, predicted
! rowspan=2 | nanoseconds<br/>gained,<br />measured 
! rowspan=2 | difference
|- 
! gravitational
([[general relativity]])
! kinematic
([[special relativity]])
! total 
|- 
! eastward
| +144 ±14
| −184 ±18
| −40 ±23
| −59 ±10
| {{#expr:(-40 - -59)/sqrt(23*23 + 10*10) round 2}} σ
|- 
! westward
| +179 ±18
| +96 ±10
| +275 ±21
| +273 ±7
| {{#expr:(275 - 273)/sqrt(21*21 + 7*7) round 2}} σ
|}

The published outcome of the experiment was consistent with both special and general relativity. The observed time gains and losses were in agreement with relativistic predictions to within the ~10% precision expected of the experiment.<ref>{{cite book |title=Fundamentals of Physics, Part 4 |edition=7th, illustrated |first1=David |last1=Halliday |first2=Robert |last2=Resnick |first3=JearlWalker |last3=Walker |publisher=Wiley |year=2004 |isbn=978-0-471-42964-7 |page=1030 |url=https://archive.org/details/fundamentalsofph0000hall|url-access=registration }}</ref>