Velocity of Circular Orbit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius)
vcir = sqrt([GM.Earth]/r)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[GM.Earth] - Earth’s Geocentric Gravitational Constant Value Taken As 3.986004418E+14
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
Velocity of Circular Orbit - (Measured in Meter per Second) - Velocity of Circular Orbit is the speed of a body in a circular orbit.
Orbit Radius - (Measured in Meter) - The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.
STEP 1: Convert Input(s) to Base Unit
Orbit Radius: 10859 Kilometer --> 10859000 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vcir = sqrt([GM.Earth]/r) --> sqrt([GM.Earth]/10859000)
Evaluating ... ...
vcir = 6058.62358721996
STEP 3: Convert Result to Output's Unit
6058.62358721996 Meter per Second -->6.05862358721996 Kilometer per Second (Check conversion ​here)
FINAL ANSWER
6.05862358721996 6.058624 Kilometer per Second <-- Velocity of Circular Orbit
(Calculation completed in 00.004 seconds)

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Circular Orbit Parameters Calculators

Orbital Period
​ LaTeX ​ Go Time Period of Orbit = 2*pi*sqrt((Orbit Radius^3)/([G.]*Central Body Mass))
Velocity of Circular Orbit
​ LaTeX ​ Go Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius)
Circular Orbital Radius
​ LaTeX ​ Go Orbit Radius = Angular Momentum of Circular Orbit^2/[GM.Earth]
Circular Orbital Radius Given Velocity of Circular Orbit
​ LaTeX ​ Go Orbit Radius = [GM.Earth]/Velocity of Circular Orbit^2

Velocity of Circular Orbit Formula

​LaTeX ​Go
Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius)
vcir = sqrt([GM.Earth]/r)

What is circular Orbit ?

A circular orbit is a specific type of orbit in celestial mechanics where an object, such as a satellite or a planet, travels around another body in a path that forms a perfect circle. In a circular orbit, the distance between the orbiting object and the central body remains constant throughout its motion.

How to Calculate Velocity of Circular Orbit?

Velocity of Circular Orbit calculator uses Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius) to calculate the Velocity of Circular Orbit, Velocity of Circular Orbit formula is defined as a measure of the speed at which an object orbits around a celestial body, such as a planet, in a circular path, influenced by the gravitational force of the central body and the radius of the orbit. Velocity of Circular Orbit is denoted by vcir symbol.

How to calculate Velocity of Circular Orbit using this online calculator? To use this online calculator for Velocity of Circular Orbit, enter Orbit Radius (r) and hit the calculate button. Here is how the Velocity of Circular Orbit calculation can be explained with given input values -> 0.006059 = sqrt([GM.Earth]/10859000).

FAQ

What is Velocity of Circular Orbit?
Velocity of Circular Orbit formula is defined as a measure of the speed at which an object orbits around a celestial body, such as a planet, in a circular path, influenced by the gravitational force of the central body and the radius of the orbit and is represented as vcir = sqrt([GM.Earth]/r) or Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius). The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.
How to calculate Velocity of Circular Orbit?
Velocity of Circular Orbit formula is defined as a measure of the speed at which an object orbits around a celestial body, such as a planet, in a circular path, influenced by the gravitational force of the central body and the radius of the orbit is calculated using Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius). To calculate Velocity of Circular Orbit, you need Orbit Radius (r). With our tool, you need to enter the respective value for Orbit Radius 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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