Question

14. Consider an artificial Satellite whose PERIGEE (closest point to Earth) is 3000 miles above the Earth’s surface and whose APOGEE (farthest point to Earth) is 4200 miles above the surface. If we compare the satellite with Moon’s that is 239,000 miles far from the Earth and its time period is 27.3 days. Find the time period of the Satellite?

Note: Radius of Earth is 3960 miles and average distance is

R = (Rmax + Rmin) / 2

15. If the dwarf planet Pluto travels in an elliptical orbit of eccentricity 0.249. If the perihelion distance is 29.62 AU, find a polar equation for the orbit and estimate the aphelion distance.

16. Galileo is often credited with the early discovery of four of Jupiter's many moons. The moons orbiting Jupiter follow the same laws of motion as the planets orbiting the sun. One of the moons is called Io - its distance from Jupiter's center is 4.2 units and it orbits Jupiter in 1.8 Earth-days. Another moon is called Ganymede; it is 10.7 units from Jupiter's center. Make a prediction of the period of Ganymede using Kepler's law of harmonies.

Answer 1