Orbital Rendezvous: Assume that the Chief is in a circular orbit about the Earth with r_(c)= 6770km and mu =3.986 imes 10^(5)(km^(3))/(s^(2)). Given the initial conditions,
x(t_(0))=[[x_(0)],[y_(0)],[z_(0)],[x_(0)^(˙)],[y_(0)^(˙)],[z_(0)^(˙)]]=[[-2.7613km],[.6191km],[1.9168km],[1(m)/(s)],[???],[-3(m)/(s)]]
a. Use the HCW bounding condition to determine y_(0)^(˙) such that the relative orbit is bounded/periodic.
b. What is the change in initial velocity needed to rendezvous at the same final position, 1 hour after t_(0) ?
c. At time t_(f)=1 hour, what is the change in the final velocity need to match the velocity of the two spacecraft assuming the initial conditions computed in part b?
3. Orbital Rendezvous: Assume that the Chief is in a circular orbit about the Earth with re = Given the initial conditions -2.7613 kmj [xo] .6191 km yo 1.9168 km m X(to)= S ??? m 3 S
a. Use the HCW bounding condition to determine Yo such that the relative orbit is bounded/periodic. b. What is the change in initial velocity needed to rendezvous at the same final position, 1 hour after to?
c. At time tf = 1 hour, what is the change in the final velocity need to match the velocity of the two spacecraft assuming the initial conditions computed in part b?