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.