satellite orbits and coordinates

With this simulation you can explore the flight paths of satellites. You can set the flight altitude h in meters and the orbital inclination [math]\alpha[/math] in °.[br][br]The flight altitude determines the orbital speed v of the satellite and its orbital period T according to the following formula:[br][math]F_{ZP}=F_G\Leftrightarrow\frac{m\cdot v^2}{r+h}=G\cdot\frac{M\cdot m}{\left(r+h\right)^2}\Leftrightarrow v=\sqrt{\frac{G\cdot M}{r+h}}[/math] and [math]T=\frac{2\pi}{\omega}=2\pi\cdot\frac{r+h}{v}[/math][br]Here, m is the mass of the satellite, r is the radius of the Earth, M is the mass of the Earth and G is the gravitational constant.[br][br]The orbital inclination influences which parts of the Earth the satellite flies over.[br][br]Can you find a setting in which the satellite has flown over the entire planet after a certain time?[br][br]Can you find a setting in which the satellite basically stays over one point or over one zone of the Earth?

Information: satellite orbits and coordinates