An astronomer knows that a satellite orbits the Earth in a period that is an exact multiple of 1 hour that is less than 1 day. If the astronomer notes that the satellite completes 11 orbits in an interval that starts when a 24-hour clock reads 0 hours and ends the clock reads 17 hours, how long is the orbital period of the satellite?

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keshavgandhi04 keshavgandhi04 · Answer 2 · 2021-12-24T07:41:28+01:00

The total orbital period of the satellite is 1.54 hours and this can be determined by using the given data.

Given :

An astronomer knows that a satellite orbits the Earth in a period that is an exact multiple of 1 hour that is less than 1 day.
The astronomer notes that the satellite completes 11 orbits in an interval that starts when a 24-hour clock reads 0 hours and ends the clock reads 17 hours.

The following steps can be used in order to determine the total orbital period of the satellite:

Step 1 - Let the number of hours to complete one orbit be 'x'.

Step 2 - According to the given data, the astronomer notes that the satellite completes 11 orbits in an interval that starts when a 24-hour clock reads 0 hours and ends the clock reads 17 hours.

Step 3 - So, the linear equation that represents the given situation is:

11x = 17

x = 17/11

x = 1.54 hours

For more information, refer to the link given below:

https://brainly.com/question/7359669