Tsiolkovsky Rocket Equation Calculator

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The Two Body Problem

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Fundamental Parameters

✖Specific Impulse may be defined as the ratio of the thrust produced to the weight flow of the propellants in case solid propellant rocket motors.ⓘ Specific Impulse [I_sp]			+10% -10%
✖Wet Mass is the mass of a rocket including its contents and propellant.ⓘ Wet Mass [M_wet]			+10% -10%
✖Dry mass is the mass of the rocket at full ascent.ⓘ Dry mass [M_dry]			+10% -10%

✖Change in rocket velocity is the difference between the initial velocity of the rocket to its final state velocity.ⓘ Tsiolkovsky Rocket Equation [ΔV]

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Formula

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Tsiolkovsky Rocket Equation

Formula

`"ΔV" = "I"_{"sp"}*"[g]"*ln("M"_{"wet"}/"M"_{"dry"})`

Example

`"0.01788km/s"="10s"*"[g]"*ln("30000kg"/"25000kg")`

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Tsiolkovsky Rocket Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass)
ΔV = I_sp*[g]*ln(M_wet/M_dry)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Change in Rocket Velocity - (Measured in Meter per Second) - Change in rocket velocity is the difference between the initial velocity of the rocket to its final state velocity.
Specific Impulse - (Measured in Second) - Specific Impulse may be defined as the ratio of the thrust produced to the weight flow of the propellants in case solid propellant rocket motors.
Wet Mass - (Measured in Kilogram) - Wet Mass is the mass of a rocket including its contents and propellant.
Dry mass - (Measured in Kilogram) - Dry mass is the mass of the rocket at full ascent.

STEP 1: Convert Input(s) to Base Unit

Specific Impulse: 10 Second --> 10 Second No Conversion Required
Wet Mass: 30000 Kilogram --> 30000 Kilogram No Conversion Required
Dry mass: 25000 Kilogram --> 25000 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔV = I_sp*[g]*ln(M_wet/M_dry) --> 10*[g]*ln(30000/25000)

Evaluating ... ...

ΔV = 17.8796369493343

STEP 3: Convert Result to Output's Unit

17.8796369493343 Meter per Second -->0.0178796369493343 Kilometer per Second (Check conversion here)

FINAL ANSWER

0.0178796369493343 ≈ 0.01788 Kilometer per Second <-- Change in Rocket Velocity

(Calculation completed in 00.004 seconds)

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Credits

Created by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

Kaki Varun Krishna has created this Calculator and 25+ more calculators!

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Maniapal University (MUJ), Jaipur

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< 8 Fundamental Parameters Calculators

Tsiolkovsky Rocket Equation

Go Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass)

Radius of Sphere of Influence( Black Hole)

Go Sphere of Influence Radius = [G.]*(Black Hole Mass)/(Stellar Velocity Dispersion of the Host Bulge)^2

Semi Major Axis of Phasing Ellipse

Go Semi Major Axis of Ellipse = ((Number of Periods*Gravitational Parameter^0.5)/(2*pi))^(2/3)

Radius of Sphere of Influence

Go Planet 2 radius = (Planet 1 radius/0.001)*(Planet 1 Mass/Planet 2 Mass)^(2/5)

Angular Momentum of Trajectory given Parameter of Orbit

Go Angular Momentum of Orbit = sqrt(Parameter of Orbit*[GM.Earth])

Parameter of Orbit

Go Parameter of Orbit = Angular Momentum of Orbit^2/Standard Gravitational Parameter

Rocket Mass Ratio

Go Rocket Mass Ratio = e^(Change in Rocket Velocity/Rocket Exhaust Velocity)

Standard Gravitational Parameter

Go Standard Gravitational Parameter = [G.]*(Mass of Orbital Body 1)

Tsiolkovsky Rocket Equation Formula

Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass)
ΔV = I_sp*[g]*ln(M_wet/M_dry)

What is the rocket equation used for?

Once the initial and final masses and the exhaust velocity of the vehicle are known, the rocket equation can be used to calculate the total change in velocity

How to Calculate Tsiolkovsky Rocket Equation?

Tsiolkovsky Rocket Equation calculator uses Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass) to calculate the Change in Rocket Velocity, The Tsiolkovsky Rocket Equation, also called classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket. Change in Rocket Velocity is denoted by ΔV symbol.

How to calculate Tsiolkovsky Rocket Equation using this online calculator? To use this online calculator for Tsiolkovsky Rocket Equation, enter Specific Impulse (I_sp), Wet Mass (M_wet) & Dry mass (M_dry) and hit the calculate button. Here is how the Tsiolkovsky Rocket Equation calculation can be explained with given input values -> 1.8E-5 = 10*[g]*ln(30000/25000).

FAQ

What is Tsiolkovsky Rocket Equation?

The Tsiolkovsky Rocket Equation, also called classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket and is represented as ΔV = I_sp*[g]*ln(M_wet/M_dry) or Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass). Specific Impulse may be defined as the ratio of the thrust produced to the weight flow of the propellants in case solid propellant rocket motors, Wet Mass is the mass of a rocket including its contents and propellant & Dry mass is the mass of the rocket at full ascent.

How to calculate Tsiolkovsky Rocket Equation?

The Tsiolkovsky Rocket Equation, also called classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket is calculated using Change in Rocket Velocity = Specific Impulse*[g]*ln(Wet Mass/Dry mass). To calculate Tsiolkovsky Rocket Equation, you need Specific Impulse (I_sp), Wet Mass (M_wet) & Dry mass (M_dry). With our tool, you need to enter the respective value for Specific Impulse, Wet Mass & Dry mass and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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