Theory for Exam Flashcards

1
Q

What are the three main components of a typical rocket motor ( brief explanation)

A
  1. Injector- injects propellants into combustion chamber in right proportions and conditions to yield an efficient, stable combustion process
  2. Combustion chamber- place where the burning of propellants takes place. The function of chemical energy into thermal energy; obtaining high pressure and temperature
  3. Converging- diverging nozzle: where combustion gases are expanded and accelerated. Convert thermal energy generated in the combustion chamber into kinetic energy the flow
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2
Q

Numerate types of propulsion systems

A
  1. Booster
  2. Main
  3. Upper stage engines
  4. Satellite and altitude control systems
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3
Q

Explain term “pogo oscillations”

A

Self-excited vibration in liquid rocket engines caused by combustion instability.
The unstable combustion results in variations of engine thrust therefore variations of acceleration on vehicles flexible structure which in causes variations in propellant pressure and flow rate, closing self-excitation cycle.

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4
Q

How is specific impulse defined ?

A

Indicates how many kilograms of thrust is obtained by the consumption of one kilogram of weight propellant per second:
Isp = T/m_dot_p * g0

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5
Q

Why does the parameter contain the word impulse ?

A

Can also be defined via impulse of force. Specific impulse equals the impulse of thrust delivered to rocket in time interval delta-t divided by propellant weight consumed in time interval.

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6
Q

Why is the specific impulse an important characteristic of a thruster ?

A

Measure of how efficiently a rocket engine is using propellant to create thrust

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7
Q

What does “effective exhaust velocity” mean and how it is related with specific impulse ?

A

Defined as a thrust divided by propellant mass flow rate.
C= T/m = ve+ Ae/m_dot_p (pe-pa)
Can be expressed through specific impulse c= ispg0

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8
Q

Thrust T of a rocket motor can be described by following equation
M dv/dt = m_dot ve+ (pe-pa) A
Name all parameters in this expression

A

M dv/dt = thrust force
M = mass flow rate of propellant
Pe = pressure at nozzle edge
Pa = atmospheric pressure
A = nozzle area
V = rocket velocity
Ve = expelled propellant mass velocity ~ exhaust velocity

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9
Q

Under what nozzle condition is the thrust T of rocket motor maximised

A

It is under condition pe=pa that the thrust is maximised and the nozzle is said to be at its optimum expansion

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10
Q

The change in velocity for a single stage rocket is written as delta-v = Ispg0 ln(mo/mf)- delta-vD - delta-vG. What are the parameters and what do they physically represent ?

A

ISP- specific impulse of rocket- defined as thrust per sea level weight rate of propellant consumption
Delta-vD- D dt- drag loss
Delta-vG- mgcosy dt- gravity loss
M0 = initial mass of rocket
Mf = final mass of rocket

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11
Q

Explain term “sounding rocket”

A

(Research rocket) Instrument carrying rocker designed to take measurements and perform scientific experiments during its sub-orbital flight

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12
Q

Describe main launch phases of a single stage rocket

A
  1. Boost phase - burning propellant
    Max velocity achieved and height achieved at burnout
  2. Coast phase- post propellant burnout
    Time taken for the rocket to achieve zero velocity
    Distance travelled during deceleration
  3. Recovery- return to earth
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13
Q

What actions are taken to minimise the effects of dynamic pressure and induced lifting forces?

A

Throttle back through q-max - all rockets throttle back through q-max to minimise aerodynamic loads
Implement gravity turn manoeuvre so the area presented to atmosphere is just cross section of rocket - frontal area.

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14
Q

Explain term “gravity turn”

A

Manoeuvre used in launching spacecraft into an orbit around.
Trajectory optimisation that uses gravity to steer vehicle into its desired trajectory.
Thrust does not have to be used to change spacecrafts direction thus more of it is used to accelerate vehicle into orbit.
During initial ascent phase , vehicle can maintain low or zero aoa. This minimises aerodynamic stress on the launch vehicle thus allowing for lighter launch.

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15
Q

Explain why gravity turn manoeuvre is used as the ascent strategy for rocket launch into space

A

Designed to be strong in lengthwise compression , like a column.
To save weight, made relatively weak in bending, which are loads induced by lifting forces.
Holding aoa constant during early part of flight reduces lift forces on rocket this reduces velocity losses due to drag- maximising velocity gain.
This means rocket is axial this rocket is presented just the cross section due to velocity vector being axial. As aoa is zero , negative lift forces tend toward zero significantly reducing aerodynamic stress on rocket .

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16
Q

Describe main mass components of a one stage rocket

A

ME = empty mass : mass of structure, engines etc
Mp = propellant mass
Mpl = payload mass: satellite etc

17
Q

How are the initial and finite rocket masses related to the mass components?

A

M0 = mE + mP + mPL
Mf = mE + mPL

18
Q

How are the payload and structure ratios defined? How the mass ratio can be expressed in terms of payload and structure ratios ?

A

Payload : Lambda = mPL / (mo- mPL) = mPL/(mE + mP)
Structural ratio: 3= mE/ ( mo-mPL) = mE / (mE+ mP)

1+lambda/ 3+ lambda

19
Q

Explain term “ restricted limit rocket staging”

A

Simplified assumption that each of the stages of he rocket system have the same specific impulse, structural ratio , and payload ratio, the only difference being the total mass of each increasing stage is less than that of previous stage

20
Q

Explain why rocket launchers rarely have more than 3 stages

A

3 stage rocker provides orbital velocity.
Addition of an extra stage increases the final velocity but by only several hundred meters but complicated essentially the rocket design and cost and decreased reliability.

21
Q

State Kepler’s three laws of orbital motion

A
  1. The orbit of every planet is ellipse with the sun at one of the two foci
  2. Equal areas are swept out in equal times
  3. The square root of the period of a planet is proportional to the cube of its semi major axis
22
Q

Explain term “impulse orbital manoeuvre”

A

Mathematical model of a manoeuvre as an instantaneous change in the spacecrafts velocity
This approximation is accurate if the burn time is small compared with orbiting period. Liquid rocket engines can generate a strong thrust to gain essential delta-v in a short time.

23
Q

Explain why liquid propellant engine can be use for an impulse manoeuvre but an electromagnetic thruster cannot

A

Liquid rocket engines can generate a strong thrust to gain essential delta v in a short time.
EM thrusters can generate a weak thrust.
To gain an essential delta v typical for orbital manoeuvres, it should work for a long time comparable or exceeding the orbiting period.

24
Q

Explain term “ Hohmann transfer”

A

Most energy efficient two- impulse manoeuvre for transferring between two coplanar orbits sharing a common focus.

25
Q

apogee radius equation when given eccentricity

A

ra= a(1+e)

26
Q

perigee radius equation when given eccentricity

A

rp=a(1-e)

27
Q

time period of orbit equation

A

T=2Pi sqrt((a^3)/mu)

28
Q

What are the steps to calculate the empty masses and propellant masses of different rocket stages

A

Find initial masses, then step masses, then the empty masses, then propellant masses

29
Q

how do you find initial masses of each rocket stage

A

m01 is given, m02 = mpl/PIpl^1/2

30
Q

how do you find the step masses

A

m1=m01-m02
m2=m02-mpl

31
Q

how do you find the structural masses

A

me1=em1
me2=e
m2

32
Q

how do you find propellant masses

A

mp1=(1-e)m1
mp2=(1-e)
m2

33
Q

how do you find the semi major axis when given apogee and perigee radii

A

a=(ra+rp )/2

34
Q

Derive the tsiolkovsky equation

A

Momentum and thrust equation (equate Thrust on each side), dm=-M dot * dt, and integrate.

35
Q

Cross product

A

idet(ay az;by bz)-jdet(ax az;bx bz)+k*det(ax ay;bx by)

36
Q
A