8. Centripetal Forces & Gravitation

Three satellites, A, B, and C, orbit Earth in circular orbits at different altitudes: Satellite A is closest to Earth, Satellite B is at a medium altitude, and Satellite C is farthest from Earth. Rank the satellites in order of increasing orbital period.

Which of the following would cause the greatest increase in the acceleration of a satellite in circular orbit around Earth ($a=\frac{v}{r^2}$ or $a=\frac{\mathrm{GM}}{r^2}$)?

Why must a geostationary satellite orbit Earth in exactly $1$ sidereal day?

Which of the following orbits has the largest semimajor axis?

Why does the force of gravity change the speed of a satellite in an elliptical orbit?

Approximately how long does it take the Moon to complete one orbit around the Earth?

Which statement best describes how $\mathrm{Earth}’s$ average orbital speed compares to that of the other planets in the Solar System?

Given that the International Space Station completes $15.65$ revolutions per day around the Earth, what is the approximate period of its orbit in $\mathrm{minutes}$?

How does the period $T$ of a satellite in a circular orbit change as the distance $r$ from the central object increases?

Two manned satellites are in circular orbits around Earth at different altitudes. If Satellite $A$ is in a lower orbit than Satellite $B$, which of the following statements is correct about their orbital speeds?

Which factor is not needed when calculating the velocity of a satellite in a stable circular orbit around a planet?

Why do satellites launched into low-Earth orbits not remain there indefinitely?

Approximately how long does it take Earth to complete one orbit around the Sun?

How does friction with the atmosphere affect the speed of an artificial satellite in low Earth orbit?

In a two-body system consisting of a star and a planet orbiting their common center of mass, what is the period required for both objects to complete one full orbit around the center of mass?