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- W1994252068 endingPage "996" @default.
- W1994252068 startingPage "996" @default.
- W1994252068 abstract "The average rate difference between a clock on the earth and a clock in an elliptic satellite is found to be dependent only on the average specific kinetic energy $overline{T}$ of the satellite and the average gravitational potential of the satellite, ${overline{ensuremath{chi}}}_{s}$. By means of the virial theorem, $overline{T}$ and ${overline{ensuremath{chi}}}_{s}$ are shown to be dependent only on the major axis, $2a$, of the satellite orbit, giving the result: $overline{ensuremath{Delta}}ensuremath{equiv}frac{({ensuremath{tau}}_{s}ensuremath{-}{ensuremath{tau}}_{E})}{{ensuremath{tau}}_{E}}=6.96ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}10}(1ensuremath{-}frac{3{r}_{E}}{2a}),$ where ${ensuremath{tau}}_{s}$ and ${ensuremath{tau}}_{E}$ are the periodic times read on the satellite clock and the earth clock, respectively, and ${r}_{E}$ is the radius of the earth." @default.
- W1994252068 created "2016-06-24" @default.
- W1994252068 creator A5019778190 @default.
- W1994252068 date "1961-11-15" @default.
- W1994252068 modified "2023-10-18" @default.
- W1994252068 title "Generalization of Singer's Formula for the General Relativistic Red Shift to Elliptic Satellite Orbits" @default.
- W1994252068 cites W1996614210 @default.
- W1994252068 cites W2147582995 @default.
- W1994252068 doi "https://doi.org/10.1103/physrev.124.996" @default.
- W1994252068 hasPublicationYear "1961" @default.
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