Rocket Mass Ratio Calculator

↳

⤿

The Two Body Problem

⤿

Fundamental Parameters

✖Change in rocket velocity is the difference between the initial velocity of the rocket to its final state velocity.ⓘ Change in Rocket Velocity [ΔV]			+10% -10%
✖Rocket exhaust velocity is the velocity of an exhaust stream after reduction by effects such as friction and pressure differences between the inside of the rocket and its surroundings.ⓘ Rocket Exhaust Velocity [V_e]			+10% -10%

✖Rocket Mass Ratio is the ratio of the rocket's wet mass (vehicle plus contents plus propellant) to its dry mass (vehicle plus contents).ⓘ Rocket Mass Ratio [M_R]

⎘ Copy

👎

Formula

✖

Rocket Mass Ratio

Formula

`"M"_{"R"} = e^("ΔV"/"V"_{"e"})`

Example

`"1.099048"=e^("0.17km/s"/"1.8km/s")`

Calculator

LaTeX

Reset

👍

Download The Two Body Problem Formula PDF

Rocket Mass Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rocket Mass Ratio = e^(Change in Rocket Velocity/Rocket Exhaust Velocity)
M_R = e^(ΔV/V_e)
This formula uses 1 Constants, 3 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Rocket Mass Ratio - Rocket Mass Ratio is the ratio of the rocket's wet mass (vehicle plus contents plus propellant) to its dry mass (vehicle plus contents).
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.
Rocket Exhaust Velocity - (Measured in Meter per Second) - Rocket exhaust velocity is the velocity of an exhaust stream after reduction by effects such as friction and pressure differences between the inside of the rocket and its surroundings.

STEP 1: Convert Input(s) to Base Unit

Change in Rocket Velocity: 0.17 Kilometer per Second --> 170 Meter per Second (Check conversion here)
Rocket Exhaust Velocity: 1.8 Kilometer per Second --> 1800 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_R = e^(ΔV/V_e) --> e^(170/1800)

Evaluating ... ...

M_R = 1.09904810320894

STEP 3: Convert Result to Output's Unit

1.09904810320894 --> No Conversion Required

FINAL ANSWER

1.09904810320894 ≈ 1.099048 <-- Rocket Mass Ratio

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Orbital Mechanics » The Two Body Problem » Fundamental Parameters » Rocket Mass Ratio

Credits

Created by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

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

Verified by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

Prasana Kannan has verified this Calculator and 10+ more calculators!

< 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)

Rocket Mass Ratio Formula

Rocket Mass Ratio = e^(Change in Rocket Velocity/Rocket Exhaust Velocity)
M_R = e^(ΔV/V_e)

From which equation is the rocket mass ratio relation derived from?

The definition and the derivation of the relation of mass ratio is derived from Tsiolkovsky's rocket equation.

How to Calculate Rocket Mass Ratio?

Rocket Mass Ratio calculator uses Rocket Mass Ratio = e^(Change in Rocket Velocity/Rocket Exhaust Velocity) to calculate the Rocket Mass Ratio, Rocket Mass Ratio is a measure of the efficiency of a rocket. It describes how much more massive the vehicle is with propellant than without; that is, the ratio of the rocket's wet mass (vehicle plus contents plus propellant) to its dry mass (vehicle plus contents). Rocket Mass Ratio is denoted by M_R symbol.

How to calculate Rocket Mass Ratio using this online calculator? To use this online calculator for Rocket Mass Ratio, enter Change in Rocket Velocity (ΔV) & Rocket Exhaust Velocity (V_e) and hit the calculate button. Here is how the Rocket Mass Ratio calculation can be explained with given input values -> 1.099048 = e^(170/1800).

FAQ

What is Rocket Mass Ratio?

Rocket Mass Ratio is a measure of the efficiency of a rocket. It describes how much more massive the vehicle is with propellant than without; that is, the ratio of the rocket's wet mass (vehicle plus contents plus propellant) to its dry mass (vehicle plus contents) and is represented as M_R = e^(ΔV/V_e) or Rocket Mass Ratio = e^(Change in Rocket Velocity/Rocket Exhaust Velocity). Change in rocket velocity is the difference between the initial velocity of the rocket to its final state velocity & Rocket exhaust velocity is the velocity of an exhaust stream after reduction by effects such as friction and pressure differences between the inside of the rocket and its surroundings.

How to calculate Rocket Mass Ratio?

Rocket Mass Ratio is a measure of the efficiency of a rocket. It describes how much more massive the vehicle is with propellant than without; that is, the ratio of the rocket's wet mass (vehicle plus contents plus propellant) to its dry mass (vehicle plus contents) is calculated using Rocket Mass Ratio = e^(Change in Rocket Velocity/Rocket Exhaust Velocity). To calculate Rocket Mass Ratio, you need Change in Rocket Velocity (ΔV) & Rocket Exhaust Velocity (V_e). With our tool, you need to enter the respective value for Change in Rocket Velocity & Rocket Exhaust Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search