Tycho made angular measurements with an accuracy of one arc minute.If Mars takes 2.136 years to complete one orbit of the Sun as viewed from Earth (a synodic period),how long on the average does it take Mars to move through one arc minute?

Question

Quizplus · Accepted Answer

Since Mars takes 2.136 years to complete one orbit, it covers 360 degrees in that time. Therefore, Mars moves through approximately 0.524 degrees per day (360 degrees/2.136 years/365.25 days). 
One degree is made up of 60 arc minutes, so Mars moves through approximately 31.4 arc minutes per day (0.524 degrees x 60 arc minutes per degree). 
Therefore, it takes Mars approximately 1.9 minutes (31.4 arc minutes / 60) on average to move through one arc minute. This is a little less than one hour.

Tycho Made Angular Measurements with an Accuracy of One Arc