Question

If a satellite is placed in geostationary orbit then it has an orbital period $T$ that is equal to exactly one day. This is useful for communications satellites and weather satellites, since these satellites will appear to occupy a fixed point in the sky (as viewed from Earth's surface). (a) Sketch a geostationary satellite in orbit around Earth. Make sure to label all the important features of the diagram: radius, force(s), velocity. (b) What is the radius of a geostationary satellite's orbit? Some useful quantities are listed below. The mass of the satellite has not been provided because it is going to cancel out in your algebra work. $\circ \quad G = 6.67 \times 10^{-11} \frac{N \cdot m^2}{kg^2}$ $\circ \quad M_{earth} = 5.97 \times 10^{24} kg$ (c) What is the speed of a geostationary satellite?

          If a satellite is placed in geostationary orbit then it has an orbital period $T$ that is equal to
exactly one day. This is useful for communications satellites and weather satellites, since these
satellites will appear to occupy a fixed point in the sky (as viewed from Earth's surface).
(a) Sketch a geostationary satellite in orbit around Earth. Make sure to label all the important
features of the diagram: radius, force(s), velocity.
(b) What is the radius of a geostationary satellite's orbit? Some useful quantities are listed
below. The mass of the satellite has not been provided because it is going to cancel out
in your algebra work.
$\circ \quad G = 6.67 \times 10^{-11} \frac{N \cdot m^2}{kg^2}$
$\circ \quad M_{earth} = 5.97 \times 10^{24} kg$
(c) What is the speed of a geostationary satellite?

If a satellite is placed in geostationary orbit then it has an orbital period T that is equal to
exactly one day. This is useful for communications satellites and weather satellites, since these
satellites will appear to occupy a fixed point in the sky (as viewed from Earth's surface).
(a) Sketch a geostationary satellite in orbit around Earth. Make sure to label all the important
features of the diagram: radius, force(s), velocity.
(b) What is the radius of a geostationary satellite's orbit? Some useful quantities are listed
below. The mass of the satellite has not been provided because it is going to cancel out
in your algebra work.
∘ G = 6.67 × 10^-11(N · m^2)/(kg^2)
∘ Mearth = 5.97 × 10^24 kg
(c) What is the speed of a geostationary satellite?

Added by Felipe H.

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