Total Velocity Required to Place Satellite in Orbit Calculator

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Rocket Propulsion

Components of Gas Turbine

Jet Propulsion

Thermodynamics and Governing Equations

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✖Mass Of Earth is equal to 5.972×10^24 kg.ⓘ Mass Of Earth [M_E]			+10% -10%
✖Radius Of earth is equal to 6378.1 km.ⓘ Radius of Earth [R_E]			+10% -10%
✖Height of Satellite is the distance of launch vehicle from the surface of earth.ⓘ Height of Satellite [h]			+10% -10%

✖The Total Velocity of Rocket is defined as the total velocity required to place a satellite in the fixed circular orbit of earth.ⓘ Total Velocity Required to Place Satellite in Orbit [V_T]

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Formula

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Total Velocity Required to Place Satellite in Orbit

Formula

`"V"_{"T"} = sqrt(("[G.]"*"M"_{"E"}*("R"_{"E"}+2*"h"))/("R"_{"E"}*("R"_{"E"}+"h")))`

Example

`"10509.58m/s"=sqrt(("[G.]"*"10000000000000000000000000kg"*("6378100m"+2*"375000m"))/("6378100m"*("6378100m"+"375000m")))`

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Total Velocity Required to Place Satellite in Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Velocity of Rocket = sqrt(([G.]*Mass Of Earth*(Radius of Earth+2*Height of Satellite))/(Radius of Earth*(Radius of Earth+Height of Satellite)))
V_T = sqrt(([G.]*M_E*(R_E+2*h))/(R_E*(R_E+h)))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[G.] - Gravitational constant Value Taken As 6.67408E-11

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Total Velocity of Rocket - (Measured in Meter per Second) - The Total Velocity of Rocket is defined as the total velocity required to place a satellite in the fixed circular orbit of earth.
Mass Of Earth - (Measured in Kilogram) - Mass Of Earth is equal to 5.972×10^24 kg.
Radius of Earth - (Measured in Meter) - Radius Of earth is equal to 6378.1 km.
Height of Satellite - (Measured in Meter) - Height of Satellite is the distance of launch vehicle from the surface of earth.

STEP 1: Convert Input(s) to Base Unit

Mass Of Earth: 1E+25 Kilogram --> 1E+25 Kilogram No Conversion Required
Radius of Earth: 6378100 Meter --> 6378100 Meter No Conversion Required
Height of Satellite: 375000 Meter --> 375000 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_T = sqrt(([G.]*M_E*(R_E+2*h))/(R_E*(R_E+h))) --> sqrt(([G.]*1E+25*(6378100+2*375000))/(6378100*(6378100+375000)))

Evaluating ... ...

V_T = 10509.5795897818

STEP 3: Convert Result to Output's Unit

10509.5795897818 Meter per Second --> No Conversion Required

FINAL ANSWER

10509.5795897818 ≈ 10509.58 Meter per Second <-- Total Velocity of Rocket

(Calculation completed in 00.004 seconds)

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MVJ college of engineering (MVJCE ), Bengaluru

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Total Velocity Required to Place Satellite in Orbit

Go Total Velocity of Rocket = sqrt(([G.]*Mass Of Earth*(Radius of Earth+2*Height of Satellite))/(Radius of Earth*(Radius of Earth+Height of Satellite)))

Velocity Increment of Rocket

Go Velocity Increment of Rocket = Jet Velocity of Rocket*ln(Initial Mass of Rocket/Final Mass of Rocket)

Propellent Mass Fraction

Go Propellant Mass Fraction = Propellant Mass/Initial Mass

Total Velocity Required to Place Satellite in Orbit Formula

Total Velocity of Rocket = sqrt(([G.]*Mass Of Earth*(Radius of Earth+2*Height of Satellite))/(Radius of Earth*(Radius of Earth+Height of Satellite)))
V_T = sqrt(([G.]*M_E*(R_E+2*h))/(R_E*(R_E+h)))

What Is The Difference between Total Velocity And Orbital Velocity?

Total Velocity is the velocity which is required to place a satellite in a earth's orbit whereas Orbital Velocity is the velocity which is required to revolve satellites in a earth's orbit.

How to Calculate Total Velocity Required to Place Satellite in Orbit?

Total Velocity Required to Place Satellite in Orbit calculator uses Total Velocity of Rocket = sqrt(([G.]*Mass Of Earth*(Radius of Earth+2*Height of Satellite))/(Radius of Earth*(Radius of Earth+Height of Satellite))) to calculate the Total Velocity of Rocket, Total Velocity Required to Place Satellite in Orbit is defined as the sum total of all velocity required to place a satellite in an earth orbit. Total Velocity of Rocket is denoted by V_T symbol.

How to calculate Total Velocity Required to Place Satellite in Orbit using this online calculator? To use this online calculator for Total Velocity Required to Place Satellite in Orbit, enter Mass Of Earth (M_E), Radius of Earth (R_E) & Height of Satellite (h) and hit the calculate button. Here is how the Total Velocity Required to Place Satellite in Orbit calculation can be explained with given input values -> 3323.421 = sqrt(([G.]*1E+25*(6378100+2*375000))/(6378100*(6378100+375000))).

FAQ

What is Total Velocity Required to Place Satellite in Orbit?

Total Velocity Required to Place Satellite in Orbit is defined as the sum total of all velocity required to place a satellite in an earth orbit and is represented as V_T = sqrt(([G.]*M_E*(R_E+2*h))/(R_E*(R_E+h))) or Total Velocity of Rocket = sqrt(([G.]*Mass Of Earth*(Radius of Earth+2*Height of Satellite))/(Radius of Earth*(Radius of Earth+Height of Satellite))). Mass Of Earth is equal to 5.972×10^24 kg, Radius Of earth is equal to 6378.1 km & Height of Satellite is the distance of launch vehicle from the surface of earth.

How to calculate Total Velocity Required to Place Satellite in Orbit?

Total Velocity Required to Place Satellite in Orbit is defined as the sum total of all velocity required to place a satellite in an earth orbit is calculated using Total Velocity of Rocket = sqrt(([G.]*Mass Of Earth*(Radius of Earth+2*Height of Satellite))/(Radius of Earth*(Radius of Earth+Height of Satellite))). To calculate Total Velocity Required to Place Satellite in Orbit, you need Mass Of Earth (M_E), Radius of Earth (R_E) & Height of Satellite (h). With our tool, you need to enter the respective value for Mass Of Earth, Radius of Earth & Height of Satellite 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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