Question

6) The period of a satellite in orbit around the Earth is approximately P = 90 R”2 minutes, with R being the radius of the orbit in Earth radii (a unit of about 4000 miles). Suppose that a satellite in an orbit with R = 1.1 Earth radii is observed by radar tracking to have its period changing at a rate di -0.1 day . At what rate a is the radius of its orbit changing in miles per day? (A decimal value here is acceptable.) dP DR 1 min.

Answer 1

So dR/dt = -3.70 miles per day.

And: P = 90 R2 Differentiating with respect to time P = 90 x3 Rb al - 0.1 = 135 x JHT OR XJ 4000 -0.1 = 135* / 400 z toho a defe

Only differentiate the given expression.