This is the master list for equations!
Δ v
Where:
- M t is total mass.
- M d is total mass minus fuel mass.
- "In" is the natural logarithm.
See the Δv page for a comprehensive explanation of Δv.
Rocket Efficiency
According to Stef:
Top to Bottom
Where
- E_r is Efficiency of the rocket, and
- M_n < is Mass in tonnes of the succeeding stages.
Bottom to Top
, which simplifies to:
Exhaust Velocity of Propellant
, where
is the exhaust velocity of your propellant, and
Earth is:
is the standard gravity, which on
Thrust to Weight
, where
is force of thrust in kilonewtons (kN) and
is your rocket's mass in metric tons (t).
Earth , it is 9.80665 m / s 2 .
is the force of gravity. For example, onIf the TWR is greater than or equal to 1 your rocket will lift off the ground.
Average ISP
, where
- is the sum of all the forces, and
- is the fuel consumption rate in kg / s.
Average ISP can also be calculated from each engine:
, where
- is the force in kilonewtons of the nth engine, including duplicates,
- is the specific impulse of the nth engine, and
- is the number of engines.
Fuel Consumption Rate
The same fuel flow rate.
Burn Time
Mass for that Time
Suicide burn
The height D at which you should start your burn from sea level is
, where T is the time it will take to burn,
Where g is the surface gravity of the body upon which you're landing, Di is initial altitude, Vi is initial vertical velocity, mi is initial mass (with fuel) and FT is thrust. See this Desmos calculator.
Orbital Velocity
Orbital Period
Kepler's Third Law of Planetary Motion
SOI Radius
Max Payload
R = Required Δv for mission, x = Max Payload in tonnes
Eccentricity
= Eccentricity
rmax = Apoapsis
rmin = Periapsis
Please allow a margin of error of 10% as well as user errors.