In October 1971, physicists carried 4 caesium-beam atomic clocks aboard industrial airline flights and flew them all over the world. When the clocks returned to Washington, they not matched equivalent reference clocks that had remained on the bottom. The tiny variations had been measured in nanoseconds, however they adopted the course and approximate measurement predicted by Einstein’s idea of relativity.The experiment was organised by physicist Joseph C. Hafele of Washington College in St Louis and astronomer Richard E. Keating of the US Naval Observatory. Their purpose was to check whether or not relativity might be measured utilizing industrial plane and atomic clocks moderately than specialised laboratory gear. The 2 scientists despatched 4 caesium-beam atomic clocks all over the world on scheduled passenger flights, with separate eastward and westward journeys. Their outcomes had been later printed within the journal Science.Why flying east and flying west produced completely different outcomesIn keeping with Physics LibreTexts, an academic physics useful resource printed by Fullerton School professor Benjamin Crowell, the experiment produced two very completely different outcomes relying on course. The eastbound clock misplaced 59 nanoseconds in comparison with the stationary reference clocks left in Washington, whereas the westbound clock gained 273 nanoseconds. That asymmetry was anticipated. Relativity relies upon not on a aircraft’s velocity relative to the bottom, however on its velocity relative to a set, non-rotating level at Earth’s centre. Because the Earth itself spins eastward, a aircraft flying east provides its personal velocity to the planet’s rotation, transferring quicker via that fastened body and experiencing extra time dilation from particular relativity. A aircraft flying west subtracts its velocity from the Earth’s rotation as a substitute, transferring slower via that very same body. The paper additionally accounted for a second issue: weaker gravity at cruising altitude, which acts in the other way and makes a clock run quicker moderately than slower.
Joseph C. Hafele and Richard E. Keating with the atomic-clock gear aboard a industrial plane throughout their 1971 around-the-world experiment. Credit – Wikipedia
A prediction confirmed virtually precisely by the precise flightThe expected and measured variations had been small however measurable. The unique paper predicted that the eastward journey would produce a lack of about 40 nanoseconds, whereas the westward journey would produce a achieve of about 275 nanoseconds. After the flights, the eastward clocks confirmed a mean lack of about 59 nanoseconds relative to the reference clocks, whereas the westward clocks confirmed a mean achieve of about 273 nanoseconds. The measurements adopted the anticipated sample, though the experimental uncertainties had been important. The total spherical journey lasted 65.4 hours, together with 41.2 hours within the air, in response to reporting that documented the experiment’s timeline intimately.Why a number of billionths of a second nonetheless matter todayThe nanosecond-scale variations the Hafele-Keating experiment detected would possibly sound too small to matter in odd life, however the identical relativistic results at the moment are important to trendy expertise. The identical relativistic results turn into way more important for GPS satellites, which journey at excessive speeds and function far above Earth’s floor. GPS engineers regulate every satellite tv for pc’s onboard atomic clock earlier than launch to compensate for the truth that time runs at a special fee in orbit than on the bottom. The relativistic results measured by Hafele and Keating later grew to become essential to satellite tv for pc navigation programs corresponding to GPS, which was developed and deployed years after their 1971 experiment. With out accounting for the distinction in clock charges between satellites and receivers on Earth, GPS positioning would accumulate errors quickly. What started as a 1971 experiment utilizing industrial plane and moveable atomic clocks in the end grew to become a part of the physics that engineers should account for in trendy satellite tv for pc navigation.