4.1

A spacecraft intended to map the surface of Mars is desired to be placed into a sun synchronous orbit having a periapsis height of 500 km and a period of 1/7 of a Martian day (24.62 h). What should the orbital inclination be if a Martian year is 687 Earth days?

4.2

Because the spacecraft in problem 4.1 can only see a small portion of the planet during a low altitude pass, it is planned to map essentially all of the planet between the latitude limits imposed by the orbital inclination of problem 4.1, which you may assume to be 100 if you did not get the answer, by "walking" the periapsis around the planet. Each region of latitude will be mapped as the planet rotates beneath the orbit, and as the nodal line regresses. What initial value (or values) of the argument of perigee ? ₀ should be selected to minimize the time required to conduct this mission? How long will it take to map the planet in detail?

4.3

Assume the approach velocity to Mars for the spacecraft in problem 4.1 to be V _? = 4 km/s. What should the B-plane miss distance be to achieve a 500-km altitude periapsis? What is the injection ? V required at periapsis?

4.4

After the high-resolution mapping outlined in problem 4.2 is completed, it is desired to change the orbit plane to an inclination of 90 to map the polar regions. What is the...