Io and Ganymede are two of Jupiter's four Galilean moons. Io orbits at an average distance of 422,000km in 1.77 days. What is Ganymede's average orbital distance (in km), if it takes 4 times longer to orbit Jupiter?

(III) The comet Hale–Bopp has an orbital period of 2400 years.

(c) What is the ratio of the speed at the closest point to the speed at the farthest point?

(III) The comet Hale–Bopp has an orbital period of 2400 years.

(b) At its closest approach, the comet is about 1.0 astronomical unit from the Sun ( 1 AU = distance from Earth to the Sun). What is the farthest distance?

(II) Determine the mean distance from Jupiter for each of Jupiter’s principal moons, using Kepler’s third law. Use the mean distance of Io and the periods given in Table 6–3. Compare your results to the values in Table 6–3. <IMAGE>

The Near Earth Asteroid Rendezvous (NEAR) spacecraft, after traveling 2.1 billion km, orbited the asteroid Eros with an orbital radius of about 20 km. Eros is roughly 40km x 6km x 6km. Assume Eros has a density (mass/volume) of about 2.3 x 10³ kg/m³ .

(c) Estimate the orbital period of NEAR around Eros, as if Eros were a sphere.

(I) The asteroid Icarus, though only a few hundred meters across, orbits the Sun like the planets. Its period is 410 d. What is its mean distance from the Sun?