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Sagittarius A-Star
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That's correct. The clock in the satellite has no proper acceleration. But he should have described the influence of the gravitational time dilation with "because it is located higher in the potential well" than "because it is in a weaker gravitational field".vanhees71 said:In this book, however, is not the claim that time dilation is due to acceleration.
From page 32, chapter 3.5.2 Time dilation (my translation from German to English):
Source - book "Spezielle Relativitätstheorie" (Schröder):A clock that moves with the satellite runs slower than a clock that is stationary on the earth. On the other hand, it runs faster than this one because it is in a weaker gravitational field.
https://www.amazon.de/dp/3808556536/