A deep$-$space vehicle moves away from the Earth with a speed of $\backslash (0\mathrm{.}765$ c $\backslash ).$ An astronaut on the vehicle measures a time interval of $1\mathrm{.}55$ s to rotate her body through $1\mathrm{.}00$ rev as she floats in the vehicle. What time interval is required for this rotation according to an observer on the Earth?

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