AAE 532 – Orbital Mechanics
Problem Set 8
Due: 10/29/10
Problem 1:
Assume that a vehicle is in a circular Earth orbit at 1.05
R
⊕
and note that the
inclination is zero. A maneuver is required to change inclination, and shift to a circular orbit that
is the same size but with
75
i
=
D
.
(a)
Consider a single impulse to accomplish the change. Determine the
,
, and
v
α
β
Δ
that
correspond to the maneuver.
(b)
Perhaps a bielliptic transfer can be used instead. From the original circular orbit, shift onto
the transfer ellipse and include a planechange maneuver at apoapsis. Compute the required
cost to accomplish the plane change, i.e.,
,
, and
v
α
β
Δ
if the intermediate radius is 14
R
⊕
.
What is the total
v
Δ
and the TOF?
(c)
Change the intermediate radius to 40
R
⊕
. Find the total
v
Δ
as well as the TOF.
Is the time penalty a good tradeoff for the cost savings?
Problem 2:
Assume that you are considering options for transfer between circular,
coplanar
Earth orbits. Since this is a rendezvous problem, your transfer vehicle (OTV) must rendezvous
with a storage station already in orbit. In this problem, the initial orbit altitude is 185 km, but
now the final orbit radius is 15.5
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 Spring '10
 KathleenHowell
 Spacecraft propulsion, Astrodynamics, Δv, total Δv, heliocentric orbit

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