Chapter 5
6.
What are the six COEs?
A COE is a Classical Orbital Element and the six COEs are:
a orbital size (using the semi-major axis)
e orbital shape, defined by eccentricity
i orientation of the
Chapter 5
16. A ground-based tracking station observes that a new Russian spacecraft has the
following R and V vectors:
R = 7016 I + 5740 J + 638 K km
V = 0.24 I 0.79 J 7.11 K km/s
b) What is the spac
Chapter 5
15.
A spacecraft has these orbital elements
a = 5740 km
e = 0.1
i = 53
= 345
= 270
v = 183
What is peculiar about this orbit?
The orbits diameter is 11,480 km as defined by 2a where a is 5
Chapter 5
17.
The above spacecraft was supposedly put into a Molniya type orbit.
a) Compute the eccentricity vector.
e(vector) = ( |v|2 / u 1 / |r|) r (vector) (r * v /u) v(vector)
r(vector) = 7016 +
Chapter 5
16. A ground-based tracking station observes that a new Russian spacecraft has the
following R and V vectors:
R = 7016 I + 5740 J + 638 K km
V = 0.24 I 0.79 J 7.11 K km/s
c) Calculate the as
Chapter 5
16. A ground-based tracking station observes that a new Russian spacecraft has the
following R and V vectors:
R = 7016 I + 5740 J + 638 K km
V = 0.24 I 0.79 J 7.11 K km/s
a) What is the angu
Chapter 5
4.
What is the specific mechanical energy, , of an orbit with a semi-major axis
of 42,160 km?
= -
2a
where:
= specific mechanical energy (km2/s2)
= gravitational parameter of the central
Chapter 5
3. If a spacecraft has a high specific mechanical energy, what does this tell us about
the size of the orbit? Why?
The formula for specific mechanical energy is given by the equation:
= -
2
R = 2.24 from Table 5-5
delta(av) = 1.01
Is = 258.4
R = oxidizer mass flow rate / fuel mass flow rate
Id = delta(av) * Is = 1.01*258.4 = 260.98
Is
Delta(av) Id
R
265
270
275
280
285
290
295
300
1.01
1
The following data are given for a certain rocket unit: thrust, 8896 N; propellant
consumption, 3.867 kg/sec; velocity of vehicle, 400 m/sec; energy content of propellant,
6.911 MJ/kg. Assume 100% com
For a vehicle in gravitationless space, determine the mass ratio necessary to boost the
vehicle velocity by (a) 1600 m/sec and (b) 3400 m/sec; the effective exhaust velocity
is 2000 m/sec. If the init
5.1. Explain the physical or chemical reasons for a maximum value of specific impulse at
a particular mixture ratio of oxidizer to fuel.
Dissociation of molecules absorbs considerable energy. This cau
For a vehicle in gravitationless space, determine the mass ratio necessary to boost the
vehicle velocity by (a) 1600 m/sec and (b) 3400 m/sec; the effective exhaust velocity
is 2000 m/sec. If the init
1. Plot the variation of the density specific impulse (product of average specific gravity
and specific impulse) with mixture ratio and explain the meaning of the curve. Use the
theoretical shifting s
The following data are given for a certain rocket unit: thrust, 8896 N; propellant
consumption, 3.867 kg/sec; velocity of vehicle, 400 m/sec; energy content of propellant,
6.911 MJ/kg. Assume 100% com
Why does heat transfer increase during combustion instability?
During the combustion process of a rocket engine there is an interaction between the
combustion itself and the acoustic field. This inter
1. Plot the variation of the density specific impulse (product of average specific gravity
and specific impulse) with mixture ratio and explain the meaning of the curve. Use the
theoretical shifting s
5.1. Explain the physical or chemical reasons for a maximum value of specific impulse at
a particular mixture ratio of oxidizer to fuel.
Dissociation of molecules absorbs considerable energy. This cau