Chapter 2, Problem 92E

With the help of the data in Table 17-1, find the minimum speed artificial satellites must have to pursue stable orbits about Mars.

^aThe mean earth-sun distance is called the astronomical unit, where 1 AU = 1.496 × 10⁸ km.

^bThe earth’s mass is 5.98 × 10²⁴ kg.

^cThe density of water is 1 g/cm³ = 10³ kg/m³.

^dThe acceleration of gravity at the earth’s surface is 9.81 m/s².

^eSpeed needed for permanent escape from the planet’s gravitational field.

^fVenus rotates in the opposite direction from the other planets.

^gThe axis of rotation of Uranus is only 8° from the plane of its orbit.

^hThe difference between the minimum and maximum distances from the sun divided by the average distance.

ⁱThe ecliptic is the plane of the earth’s orbit.

^jProbably more small ones around Jupiter, Saturn, and Uranus.