Escape Velocity given Speed of Satellite in Circular Orbit Calculator

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The Two Body Problem

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Circular Orbits

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Fundamental Parameters

Hyperbolic Orbits

Parabolic Orbits

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Circular Orbit Parameters

Geostationary Earth Satellite

✖Velocity of Circular Orbit is the speed of a body in a circular orbit.ⓘ Velocity of Circular Orbit [v_cir]

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✖The Escape Velocity is defined as the velocity needed for a body to escape from a gravitational centre of attraction without undergoing any further acceleration.ⓘ Escape Velocity given Speed of Satellite in Circular Orbit [v_esc]

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Formula

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Escape Velocity given Speed of Satellite in Circular Orbit

Formula

`"v"_{"esc"} = sqrt(2)*"v"_{"cir"}`

Example

`"8.555992km/s"=sqrt(2)*"6.05km/s"`

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Escape Velocity given Speed of Satellite in Circular Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Escape Velocity = sqrt(2)*Velocity of Circular Orbit
v_esc = sqrt(2)*v_cir
This formula uses 1 Functions, 2 Variables

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

Escape Velocity - (Measured in Meter per Second) - The Escape Velocity is defined as the velocity needed for a body to escape from a gravitational centre of attraction without undergoing any further acceleration.
Velocity of Circular Orbit - (Measured in Meter per Second) - Velocity of Circular Orbit is the speed of a body in a circular orbit.

STEP 1: Convert Input(s) to Base Unit

Velocity of Circular Orbit: 6.05 Kilometer per Second --> 6050 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_esc = sqrt(2)*v_cir --> sqrt(2)*6050

Evaluating ... ...

v_esc = 8555.99205235723

STEP 3: Convert Result to Output's Unit

8555.99205235723 Meter per Second -->8.55599205235723 Kilometer per Second (Check conversion here)

FINAL ANSWER

8.55599205235723 ≈ 8.555992 Kilometer per Second <-- Escape Velocity

(Calculation completed in 00.020 seconds)

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Hindustan Institute of Technology and Science (HITS), Chennai, Indian

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< 11 Circular Orbit Parameters Calculators

Orbital Period

Go Time Period of Orbit = 2*pi*sqrt((Orbit Radius^3)/([G.]*Central Body Mass))

Circular Orbital Radius Given Time Period of Circular Orbit

Go Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3)

Speed of Satellite in Circular LEO as Function of Altitude

Go Speed of Satellite = sqrt([GM.Earth]/([Earth-R]+Height of Satellite))

Time Period of Circular Orbit

Go Time Period of Orbit = (2*pi*Orbit Radius^(3/2))/(sqrt([GM.Earth]))

Velocity of Circular Orbit

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

Circular Orbital Radius

Go Orbit Radius = Angular Momentum of Circular Orbit^2/[GM.Earth]

Specific Energy of Circular Orbit Given Orbital Radius

Go Specific Energy of Orbit = -([GM.Earth])/(2*Orbit Radius)

Orbital Radius Given Specific Energy of Circular Orbit

Go Orbit Radius = -([GM.Earth])/(2*Specific Energy of Orbit)

Circular Orbital Radius Given Velocity of Circular Orbit

Go Orbit Radius = [GM.Earth]/Velocity of Circular Orbit^2

Specific Energy of Circular Orbit

Go Specific Energy of Orbit = -([GM.Earth]^2)/(2*Angular Momentum of Circular Orbit^2)

Escape Velocity given Speed of Satellite in Circular Orbit

Go Escape Velocity = sqrt(2)*Velocity of Circular Orbit

Escape Velocity given Speed of Satellite in Circular Orbit Formula

Escape Velocity = sqrt(2)*Velocity of Circular Orbit
v_esc = sqrt(2)*v_cir

What is Escape Velocity of a body at Earth?

On the surface of the Earth, the escape velocity is about 11.2 km/s, which is approximately 33 times the speed of sound (Mach 33) and several times the muzzle velocity of a rifle bullet (up to 1.7 km/s). However, at 9,000 km altitude in "space", it is slightly less than 7.1 km/s.

How to Calculate Escape Velocity given Speed of Satellite in Circular Orbit?

Escape Velocity given Speed of Satellite in Circular Orbit calculator uses Escape Velocity = sqrt(2)*Velocity of Circular Orbit to calculate the Escape Velocity, The Escape Velocity given speed of satellite in circular orbit formula is defined as as the velocity needed for a body to escape from a gravitational centre of attraction without undergoing any further acceleration. Escape Velocity is denoted by v_esc symbol.

How to calculate Escape Velocity given Speed of Satellite in Circular Orbit using this online calculator? To use this online calculator for Escape Velocity given Speed of Satellite in Circular Orbit, enter Velocity of Circular Orbit (v_cir) and hit the calculate button. Here is how the Escape Velocity given Speed of Satellite in Circular Orbit calculation can be explained with given input values -> 0.008485 = sqrt(2)*6050.

FAQ

What is Escape Velocity given Speed of Satellite in Circular Orbit?

The Escape Velocity given speed of satellite in circular orbit formula is defined as as the velocity needed for a body to escape from a gravitational centre of attraction without undergoing any further acceleration and is represented as v_esc = sqrt(2)*v_cir or Escape Velocity = sqrt(2)*Velocity of Circular Orbit. Velocity of Circular Orbit is the speed of a body in a circular orbit.

How to calculate Escape Velocity given Speed of Satellite in Circular Orbit?

The Escape Velocity given speed of satellite in circular orbit formula is defined as as the velocity needed for a body to escape from a gravitational centre of attraction without undergoing any further acceleration is calculated using Escape Velocity = sqrt(2)*Velocity of Circular Orbit. To calculate Escape Velocity given Speed of Satellite in Circular Orbit, you need Velocity of Circular Orbit (v_cir). With our tool, you need to enter the respective value for Velocity of Circular Orbit 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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