Total Velocity Required to Place Satellite in Orbit Calculator

✖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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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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Created by Guddu Kumar

MVJ college of engineering (MVJCE ), Bengaluru

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Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< Theory Of Rockets Calculators

Rocket Exhaust Gas Velocity

LaTeX Go Jet Velocity = sqrt(((2*Specific Heat Ratio)/(Specific Heat Ratio-1))*[R]*Temperature at Chamber*(1-(Nozzle Exit Pressure/Pressure at Chamber)^((Specific Heat Ratio-1)/Specific Heat Ratio)))

Total Velocity Required to Place Satellite in Orbit

LaTeX 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

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

Structural Mass Fraction

LaTeX Go Structural Mass Fraction = Structural Mass/(Propellant Mass+Structural Mass)

Total Velocity Required to Place Satellite in Orbit Formula

LaTeX 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)))
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 formula is defined as the necessary speed a satellite must achieve to maintain a stable orbit around a celestial body, balancing gravitational forces and orbital mechanics. 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 -> 10509.58 = 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 formula is defined as the necessary speed a satellite must achieve to maintain a stable orbit around a celestial body, balancing gravitational forces and orbital mechanics 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 formula is defined as the necessary speed a satellite must achieve to maintain a stable orbit around a celestial body, balancing gravitational forces and orbital mechanics 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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