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Radial Position in Parabolic Orbit given Escape Velocity Formula

GoRadial Position in Parabolic Orbit given Angular Momentum and True Anomaly Formula

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Radial Position in Parabolic Orbit refers to the distance of the satellite along the radial or straight-line direction connecting the satellite and the center of the body. Check FAQs

r p = \frac{2 \cdot [GM.Earth]}{{v p,esc}^{2}}

r_p - Radial Position in Parabolic Orbit?v_p,esc - Escape Velocity in Parabolic Orbit?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Radial Position in Parabolic Orbit given Escape Velocity Example

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Here is how the Radial Position in Parabolic Orbit given Escape Velocity equation looks like with Values.

Here is how the Radial Position in Parabolic Orbit given Escape Velocity equation looks like with Units.

Here is how the Radial Position in Parabolic Orbit given Escape Velocity equation looks like.

23478.9961 = \frac{2 \cdot 4E+14}{{5.827}^{2}}

23478.9961km = \frac{2 \cdot 4E+14m³/s²}{{5.827km/s}^{2}}

23478.9961 = \frac{2 \cdot 4E+14}{{5.827}^{2}}

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Radial Position in Parabolic Orbit given Escape Velocity Solution

Follow our step by step solution on how to calculate Radial Position in Parabolic Orbit given Escape Velocity?

FIRST Step Consider the formula

r p = \frac{2 \cdot [GM.Earth]}{{v p,esc}^{2}}

Next Step Substitute values of Variables

∴

r p = \frac{2 \cdot [GM.Earth]}{{5.827km/s}^{2}}

Next Step Substitute values of Constants

∴

r p = \frac{2 \cdot 4E+14m³/s²}{{5.827km/s}^{2}}

Next Step Convert Units

∴

r p = \frac{2 \cdot 4E+14m³/s²}{{5826.988m/s}^{2}}

Next Step Prepare to Evaluate

∴

r p = \frac{2 \cdot 4E+14}{{5826.988}^{2}}

Next Step Evaluate

∴

r p = 23478996.1152145m

Next Step Convert to Output's Unit

∴

r p = 23478.9961152145km

LAST Step Rounding Answer

∴

r p = 23478.9961km

Radial Position in Parabolic Orbit given Escape Velocity Formula Elements

Variables

Constants

Radial Position in Parabolic Orbit

Radial Position in Parabolic Orbit refers to the distance of the satellite along the radial or straight-line direction connecting the satellite and the center of the body.

Symbol: r_p

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Radial Position in Parabolic Orbit

Escape Velocity in Parabolic Orbit

Escape Velocity in Parabolic Orbit defined as the velocity needed for a body to escape from a gravitational center of attraction without undergoing any further acceleration.

Symbol: v_p,esc

Measurement: SpeedUnit: km/s

Note: Value should be greater than 0.

Formulas to find Escape Velocity in Parabolic Orbit

Earth’s Geocentric Gravitational Constant

Earth’s Geocentric Gravitational Constant the gravitational parameter for the Earth as the central body.

Symbol: [GM.Earth]

Value: 3.986004418E+14 m³/s²

Other Formulas to find Radial Position in Parabolic Orbit

Go Radial Position in Parabolic Orbit given Angular Momentum and True Anomaly

r p = \frac{{h p}^{2}}{[GM.Earth] \cdot (1 + \cos (θ p))}

Other formulas in Parabolic Orbit Parameters category

Go Escape Velocity given Radius of Parabolic Trajectory

v p,esc = \sqrt{\frac{2 \cdot [GM.Earth]}{r p}}

Go X Coordinate of Parabolic Trajectory given Parameter of Orbit

x = p p \cdot (\frac{\cos (θ p)}{1 + \cos (θ p)})

Go Y Coordinate of Parabolic Trajectory given Parameter of Orbit

y = p p \cdot \frac{\sin (θ p)}{1 + \cos (θ p)}

Go Parameter of Orbit given X Coordinate of Parabolic Trajectory

p p = x \cdot \frac{1 + \cos (θ p)}{\cos (θ p)}

How to Evaluate Radial Position in Parabolic Orbit given Escape Velocity?

Radial Position in Parabolic Orbit given Escape Velocity evaluator uses Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2 to evaluate the Radial Position in Parabolic Orbit, The Radial Position in Parabolic Orbit given Escape Velocity is described by its distance from the focus of the orbit. Given the escape velocity, which is the minimum velocity required for an object to escape the gravitational pull of a massive body, we can derive the radial position at any point along the parabolic orbit. Radial Position in Parabolic Orbit is denoted by r_p symbol.

How to evaluate Radial Position in Parabolic Orbit given Escape Velocity using this online evaluator? To use this online evaluator for Radial Position in Parabolic Orbit given Escape Velocity, enter Escape Velocity in Parabolic Orbit (v_p,esc) and hit the calculate button.

FAQs on Radial Position in Parabolic Orbit given Escape Velocity

What is the formula to find Radial Position in Parabolic Orbit given Escape Velocity?

The formula of Radial Position in Parabolic Orbit given Escape Velocity is expressed as Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2. Here is an example- 23.53541 = (2*[GM.Earth])/5826.988^2.

How to calculate Radial Position in Parabolic Orbit given Escape Velocity?

With Escape Velocity in Parabolic Orbit (v_p,esc) we can find Radial Position in Parabolic Orbit given Escape Velocity using the formula - Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2. This formula also uses Earth’s Geocentric Gravitational Constant .

What are the other ways to Calculate Radial Position in Parabolic Orbit?

Here are the different ways to Calculate Radial Position in Parabolic Orbit-

Radial Position in Parabolic Orbit=Angular Momentum of Parabolic Orbit^2/([GM.Earth]*(1+cos(True Anomaly in Parabolic Orbit)))

Can the Radial Position in Parabolic Orbit given Escape Velocity be negative?

No, the Radial Position in Parabolic Orbit given Escape Velocity, measured in Length cannot be negative.

Which unit is used to measure Radial Position in Parabolic Orbit given Escape Velocity?

Radial Position in Parabolic Orbit given Escape Velocity is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Radial Position in Parabolic Orbit given Escape Velocity can be measured.

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