Space mission calculation
Input of mission specifications
m^2/s^2 or J/Kg
Total acceleration time
Energy density of fuel. For example, Methane or natural gas has energy density of specific energy or 55.5 MJ/kg.
Vehicle acceleration rate. You can input a figure from 0 m/s2. For 1 g acceleration, it is 9.81 m/s2
Propellant acceleration length. This is the distance when propellant being pushed out of a vehicle in a space vacuum.
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.
Total mass before a mission starts. The unit for this is Kg.
Tare weight is the vehicle without fuel. The uit for this is Kg.
X = aLM
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.
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 T is the propellant acceleration time in the distance given by the vehicle. Please refer to equation 10 for more detail.
This so called "result" is not important as long as the number is bigger than zero. It must satisfy equation 34.
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
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.
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.