Although the speed of light does not depend on the reference system, the time of movement depends on it. In this case, there are two reference systems: the ground-based experiment and the clock in orbit. And since these systems move relative to each other, their movement should be taken into account.
But what is the movement of satellites relative to the OPERA experiment? Spacecraft move from west to east in a plane inclined by 55 ° relative to the equatorial. What is important, approximately in the same plane lies the path traveled by the neutrino. So the mutual movement of them is easy to calculate.
So, from the point of view of the clock on board the GPS satellite, the position of the neutrino source and their receiver varies. “From the point of view of the clock, the receiver moves in the direction of the source - therefore, the distance traveled by the particles, as observed by the clock, is shorter,” says van Elburg.
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(He means shorter than the distance measured in the ground reference system.)
A group of scientists OPERA overlooks this, as it considers the clock as ground-based and not orbital.
How significant is this effect? According to van Elburg’s calculations, it should trigger the arrival of the neutrino 32 nanoseconds earlier. But this value should be doubled, since this error occurs at the initial and at the end point of the experiment. The total correction will be 64 nanoseconds - almost exactly in line with the observations of the OPERA group.
Source: https://habr.com/ru/post/130669/
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