In order to find the time, an astronaut orbiting in the earth satellite should use:
Stop watch and hourglass is not used to read time, it is useful for measuring time intervals only.
In a pendulum clock and an hourglass, the time period depends on the value of g. In an orbiting satellite, the pendulum will experience free fall and feel weightlessness due to which g = 0. Hence, its time period will be infinite or it will not oscillate.
In a spring watch, the time period is independent of the value of g and only depends on the spring. So, in order to find the time, an astronaut orbiting in the earth satellite should use a spring watch.