Tsiolkovsky Delta-V Calculator
Ideal Tsiolkovskyrocket deltaVve ln(m0/mf), single positive mass ratio≥1; external forces, staging and actual flight dynamics excluded. Actual independently established compatible SI units/model context; conditional arithmetic, not code compliance, engineering design or safe operation approval.
Description
The ideal rocket equation relates effective exhaust velocity to an initial-to-final mass ratio.
The ideal rocket equation relates effective exhaust velocity to an initial-to-final mass ratio.1
This tool calculates that restricted delta-v without modeling external forces, staging or a flight trajectory.
When to use Tsiolkovsky Delta-V Calculator
Use this tool to calculate that restricted delta-v without modeling external forces, staging or a flight trajectory.
How to use Tsiolkovsky Delta-V Calculator and how it works
- Prepare callerVerifiedEffectiveExhaustVelocityMetersPerSecond, initialMassKg, finalMassKg, with the units, conventions and assumptions below.
- Enter the required fields and run Tsiolkovsky Delta-V Calculator.
- Read result.value using the output definitions below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| callerVerifiedEffectiveExhaustVelocityMetersPerSecond | Caller Verified Effective Exhaust Velocity Meters Per Second. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
| initialMassKg | Initial Mass Kg. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
| finalMassKg | Final Mass Kg. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
Supply positive effective exhaust velocity and positive initial and final masses in matching mass units, with initial>=final. Return exhaustVelocity*ln(initial/final) in the exhaust velocity's unit. Equal masses give zero; gravity, drag and staging effects are not included.
deltaV=effectiveExhaustVelocity*ln(initialMass/finalMass) Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | Ideal velocity increment in meters per second. | number |
{
"input": {
"callerVerifiedEffectiveExhaustVelocityMetersPerSecond": 10,
"initialMassKg": 2,
"finalMassKg": 1
},
"output": {
"result": {
"value": 6.931471805599453
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Turbine Work Calculator for a complementary operation: Steady turbine power can be estimated from mass flow and a signed specific-enthalpy drop under a restricted energy balance.
Use Compressor Power Calculator for a complementary operation: A restricted adiabatic compressor balance uses mass flow, matched heat capacity and observed temperature rise.
References
-
Tsiolkovsky Delta-V Calculator — tool.io
Similar or alternative tools
- Turbine Work Calculator
Steady turbine power can be estimated from mass flow and a signed specific-enthalpy drop under a restricted energy balance.
- Compressor Power Calculator
A restricted adiabatic compressor balance uses mass flow, matched heat capacity and observed temperature rise.