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)))
VT = sqrt(([G.]*ME*(RE+2*h))/(RE*(RE+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
VT = sqrt(([G.]*ME*(RE+2*h))/(RE*(RE+h))) --> sqrt(([G.]*1E+25*(6378100+2*375000))/(6378100*(6378100+375000)))
Evaluating ... ...
VT = 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)

Credits

Created by Guddu Kumar
MVJ college of engineering (MVJCE ), Bengaluru
Guddu Kumar has created this Calculator and 10 more calculators!
Verified by Harsh Raj
Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal
Harsh Raj has verified this Calculator and 25+ more calculators!

2 Theory Of Rockets Calculators

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)

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)))
VT = sqrt(([G.]*ME*(RE+2*h))/(RE*(RE+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 VT 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 (ME), Radius of Earth (RE) & 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 VT = sqrt(([G.]*ME*(RE+2*h))/(RE*(RE+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 (ME), Radius of Earth (RE) & 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!