Homework Assignment:
From chapter 5 –problems 2, 3, 4, 6, 7, 15, 16, and 17
2) How many initial conditions (ICs) do we need for solving the two-body equation of motion? Give an example of one set of ICs.
3) If a spacecraft has a high specific mechanical energy, what does this tell us about the size of the orbit? Why?
4) What is the specific mechanical energy, ?, of an orbit with a semi-major axis of 42,160 km?
6) What are the six COEs?
7) What are the two major categories of inclination relative to the Earth’s motion?
15) A spacecraft has these orbital elements semi-major axis = 5740 km eccentricity = 0.1 inclination = 53° right ascension of the ascending node = 345° argument of perigee = 270° true anomaly = 183° what is peculiar about this orbit?
16) A ground-based tracking station observes that a new Russian spacecraft has the following R and V vectors:
R = 7016 Iˆ+5740 ˆJ+638 Kˆ km
V = 0.24 Iˆ–0.79 ˆJ–7.11 Kˆ km/s
a) What is the specific angular momentum of the spacecraft?
b) What is the spacecraft’s inclination?
c) Calculate the ascending node vector.
d) What is the spacecraft’s right ascension of the ascending node?
17) The above spacecraft was supposedly put into a Molniya type orbit.
a) Compute the eccentricity vector.
b) What is the spacecraft’s argument of perigee? Is this the value needed for a Molniya orbit? See Table 5-4.
c) Where is the spacecraft? In other words, what is its true anomaly?
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