Additional Problems for HW 3

Additional problems for HW 3

4. Given the orbital elements (all the angles in degrees) for objects A, B, C, and D, fill in the blank to correctly complete the following statements:

I W v (=W + w) L

A 0 undefined 210 30

B 4 180 260 90

C 110 90 110 140

D 23 60 260 160

a) Object _____ is in retrograde motion.

b) Object _____ has a true anomaly at epoch of 180 degree.

c) Object _____ has its perigee south of the equatorial plane.

d) Object _____ has a line of nodes which coincides with vernal equinox directions.

e) Object _____ has an argument of perigee of 200 degree.

f) Object _____ could have been launched from Siberia without a plane change.

g) Object _____ was probably launched from somewhere on the equator.

h) Object _____ reaches the maximum latitude of 70 degree.

5. The equation of an object in Earth orbit is (in canonical unit)

r = 1.5/(1+0.5cosf ) DU

Calculate the time of flight from perigee to one end of the minor axis (E = 90 degree) and the time of flight from the end of the minor axis out to apogee.