

Space
mission calculation


Input of mission specifications

Energy density


Joules/Kg

Acceleration
rate


meters/second

Length


meters

Fuel mass


Kg

Mass


Kg

Tare weight


Kg

Total
ejections


Times

Maximum speed


Meter/second

Sequence time


Second

X value


Kg.m^2/s^2

Y value


m^2/s^2 or J/Kg

Z value


None


Result

Efficiency

Sequences

Distance

Total acceleration time









Energy density:

Energy
density of fuel. For example, Methane or natural gas has energy density of
specific energy or 55.5 MJ/kg.


Acceleration
rate:

Vehicle
acceleration rate. You can input a figure from 0 m/s2. For 1 g acceleration,
it is 9.81 m/s2

Length:

Propellant
acceleration length. This is the distance when propellant being pushed out of
a vehicle in a space vacuum.

Fuel
mass:

Fuel mass.
This is the total fuel carried by a mission. The unit for fuel is Kg. Fuel
mass and fuel density decide the total energy a mission can utilize.

Mass:

Total mass
before a mission starts. The unit for this is Kg.

Tare
weight:

Tare weight
is the vehicle without fuel. The uit for this is Kg.

X
value:

X = aLM

Y
value:

Y=aL+Ed

Z
value:

Z=Ed/Y

Total
ejections:

This output
is the total mass ejections for a mission. Half of this sequence is for
acceleration, and half of the sequences is for deceleration. Preferably this
shall be even numbers.

Maximum
speed:

This is the
maximum velocity a vehicle can achieved based on energy density, vehicle tare
weight and fuel carried. Mission acceleration rate and propellant
acceleration distance is irrelevant.

Sequence
time:

Sequence
time T is the propellant acceleration time in the distance given by the
vehicle. Please refer to equation 10 for more detail.

Result:

This so
called "result" is not important as long as the number is bigger
than zero. It must satisfy equation 34.

Efficientcy:

This is the
fuel efficiency based on how much distance the space vehicle is accelerated
by the total acceleration length. The equation is ŋ=0.5*(acceleration
rate)*(Sequence time)^2/Length

Sequences:

The number
is half of mission total alllowed propellant ejections. It must satisfy
equation 34. Bigger sequences will not stop a vehicle at the end of a
mission.

Distance:

This is the
distance a vehicle will travel when acceleration and decceleration happen. It
doesn't take into account distrance a vehicle travel at constant velocity.
Unit is Km.

Total acceleration time:

This is the
duration a vehicle will accelerate or deccelerate for a mission. It is
expressed as T times n. Unit is seconds.

