Does the wheel of the photography track vibrate greatly?

This problem involves the orbital inclination of the satellite and the rotation of the earth. We need to find a rule that enables the satellite to observe the target the maximum number of times in a day.

It is known that the orbital inclination of the imaging reconnaissance satellite is 60 degrees.

First, we need to know the angle of the earth's rotation. The earth rotates once a day, that is to say, the angle of rotation of the earth is 360 degrees.

Then, we can consider the movement of the satellite in one day. Because the inclination of the satellite's orbit is 60 degrees, every time the satellite passes this fixed target, it will be 60 degrees different from the angle of the earth's rotation. In other words, the number of times a satellite can observe this fixed target in a day is equal to the angle of the earth's rotation divided by 60 degrees.

Therefore, the imaging reconnaissance satellite can observe the fixed target for six times at most in one day.