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Escape Velocity given Speed of Satellite in Circular Orbit Formula

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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. Check FAQs

v esc = \sqrt{2} \cdot v cir

v_esc - Escape Velocity?v_cir - Velocity of Circular Orbit?

Escape Velocity given Speed of Satellite in Circular Orbit Example

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Here is how the Escape Velocity given Speed of Satellite in Circular Orbit equation looks like with Values.

Here is how the Escape Velocity given Speed of Satellite in Circular Orbit equation looks like with Units.

Here is how the Escape Velocity given Speed of Satellite in Circular Orbit equation looks like.

8.556 = \sqrt{2} \cdot 6.05

8.556km/s = \sqrt{2} \cdot 6.05km/s

8.556 = \sqrt{2} \cdot 6.05

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Escape Velocity given Speed of Satellite in Circular Orbit Solution

Follow our step by step solution on how to calculate Escape Velocity given Speed of Satellite in Circular Orbit?

FIRST Step Consider the formula

v esc = \sqrt{2} \cdot v cir

Next Step Substitute values of Variables

∴

v esc = \sqrt{2} \cdot 6.05km/s

Next Step Convert Units

∴

v esc = \sqrt{2} \cdot 6050m/s

Next Step Prepare to Evaluate

∴

v esc = \sqrt{2} \cdot 6050

Next Step Evaluate

∴

v esc = 8555.99205235723m/s

Next Step Convert to Output's Unit

∴

v esc = 8.55599205235723km/s

LAST Step Rounding Answer

∴

v esc = 8.556km/s

Escape Velocity given Speed of Satellite in Circular Orbit Formula Elements

Variables

Functions

Escape Velocity

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.

Symbol: v_esc

Measurement: SpeedUnit: km/s

Note: Value should be greater than 0.

Formulas to find Escape Velocity

Velocity of Circular Orbit

Velocity of Circular Orbit is the speed of a body in a circular orbit.

Symbol: v_cir

Measurement: SpeedUnit: km/s

Note: Value should be greater than 0.

Formulas to find Velocity of Circular Orbit

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.

Syntax: sqrt(Number)

Other formulas in Circular Orbit Parameters category

Go Orbital Period

T or = 2 \cdot π \cdot \sqrt{\frac{r^{3}}{[G.] \cdot M}}

Go Circular Orbital Radius

r = \frac{{h c}^{2}}{[GM.Earth]}

Go Velocity of Circular Orbit

v cir = \sqrt{\frac{[GM.Earth]}{r}}

Go Circular Orbital Radius Given Velocity of Circular Orbit

r = \frac{[GM.Earth]}{{v cir}^{2}}

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

Escape Velocity given Speed of Satellite in Circular Orbit evaluator uses Escape Velocity = sqrt(2)*Velocity of Circular Orbit to evaluate the Escape Velocity, Escape Velocity given Speed of Satellite in Circular Orbit formula is defined as a measure of the minimum speed an object must have to escape the gravitational pull of a celestial body, such as a planet or moon, when it is in a circular orbit around that body. Escape Velocity is denoted by v_esc symbol.

How to evaluate Escape Velocity given Speed of Satellite in Circular Orbit using this online evaluator? To use this online evaluator for Escape Velocity given Speed of Satellite in Circular Orbit, enter Velocity of Circular Orbit (v_cir) and hit the calculate button.

FAQs on Escape Velocity given Speed of Satellite in Circular Orbit

What is the formula to find Escape Velocity given Speed of Satellite in Circular Orbit?

The formula of Escape Velocity given Speed of Satellite in Circular Orbit is expressed as Escape Velocity = sqrt(2)*Velocity of Circular Orbit. Here is an example- 0.008485 = sqrt(2)*6050.

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

With Velocity of Circular Orbit (v_cir) we can find Escape Velocity given Speed of Satellite in Circular Orbit using the formula - Escape Velocity = sqrt(2)*Velocity of Circular Orbit. This formula also uses Square Root (sqrt) function(s).

Can the Escape Velocity given Speed of Satellite in Circular Orbit be negative?

No, the Escape Velocity given Speed of Satellite in Circular Orbit, measured in Speed cannot be negative.

Which unit is used to measure Escape Velocity given Speed of Satellite in Circular Orbit?

Escape Velocity given Speed of Satellite in Circular Orbit is usually measured using the Kilometer per Second[km/s] for Speed. Meter per Second[km/s], Meter per Minute[km/s], Meter per Hour[km/s] are the few other units in which Escape Velocity given Speed of Satellite in Circular Orbit can be measured.

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