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Rocket Equations
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Tsiolkovsky Rocket Equation
The Tsiolkovsky rocket equation, given by
Ideal Rocket Equation
The Ideal Rocket Equation is identical to the Tsiolkovsky Rocket Equation and is given by
Rocket Thrust Equation
The Rocket Thrust Equation is given by
Specific Impulse Equation
The Specific Impulse Equation is given by
Gravity Drag Equation
The Gravity Drag Equation is given by
Oberth Effect Formula
The Oberth Effect Formula can be quantified by the relation
Mass Ratio Equation
The Mass Ratio Equation is given by
Delta-V Budget
Delta-V Budget is estimated via the summation
Payload Fraction Equation
The Payload Fraction Equation is given by
Thrust-to-Weight Ratio
The Thrust-to-Weight Ratio is calculated by
Burnout Velocity Equation
The Burnout Velocity Equation is determined by combining the Tsiolkovsky rocket equation with the initial mass, propellant mass, and final mass:
Continuous Thrust Trajectory Equation
For continuous thrust trajectories, the spacecraft's velocity change is given by
Exhaust Velocity Equation
The Exhaust Velocity Equation, derived from thermodynamic principles, is
Breguet Range Equation for Rockets
Similar to its use in aircraft, the Breguet Range Equation for Rockets can be expressed as
Spacecraft Maneuvering Equation
The Spacecraft Maneuvering Equation, for a small maneuver, is given by
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