Rocket Equation With Gravity Loss Calculator

Property to Calculate:

Effective exhaust velocity (v_e):

Initial mass (m₀):

Mass at time t (m(t)):

Gravitational acceleration (g):

Time (t):

How This Is Calculated

$$ v(t) = v_e ln \left( \frac{m_0}{m(t)} \right) -gt $$ where:

v (t) = Velocity as a function of time (m/s)

v_e = Effective exhaust velocity (m/s)

m₀ = Initial mass (kg)

m(t) = Mass at time t (kg)

g = Gravitational acceleration (m/s²)

t = Time (s)

Assumptions

The engine is in steady state.
Acceleration due to gravity remains constant.
Properties of the propellant remain constant.
The flight path is fixed.
The exhaust velocity remains fixed.

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