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Perigee Radius of Parabolic Orbit given Angular Momentum Formula

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Perigee Radius in Parabolic Orbit refers to the distance between the center of the Earth and the point in a satellite's orbit that is closest to the Earth's surface. Check FAQs

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

r_p,perigee - Perigee Radius in Parabolic Orbit?h_p - Angular Momentum of Parabolic Orbit?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Perigee Radius of Parabolic Orbit given Angular Momentum Example

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Here is how the Perigee Radius of Parabolic Orbit given Angular Momentum equation looks like with Values.

Here is how the Perigee Radius of Parabolic Orbit given Angular Momentum equation looks like with Units.

Here is how the Perigee Radius of Parabolic Orbit given Angular Momentum equation looks like.

6777.9981 = \frac{73508^{2}}{2 \cdot 4E+14}

6777.9981km = \frac{{73508km²/s}^{2}}{2 \cdot 4E+14m³/s²}

6777.9981 = \frac{73508^{2}}{2 \cdot 4E+14}

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Perigee Radius of Parabolic Orbit given Angular Momentum Solution

Follow our step by step solution on how to calculate Perigee Radius of Parabolic Orbit given Angular Momentum?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r p,perigee = \frac{{73508km²/s}^{2}}{2 \cdot [GM.Earth]}

Next Step Substitute values of Constants

∴

r p,perigee = \frac{{73508km²/s}^{2}}{2 \cdot 4E+14m³/s²}

Next Step Convert Units

∴

r p,perigee = \frac{{7.4E+10m²/s}^{2}}{2 \cdot 4E+14m³/s²}

Next Step Prepare to Evaluate

∴

r p,perigee = \frac{{7.4E+10}^{2}}{2 \cdot 4E+14}

Next Step Evaluate

∴

r p,perigee = 6777998.08700563m

Next Step Convert to Output's Unit

∴

r p,perigee = 6777.99808700563km

LAST Step Rounding Answer

∴

r p,perigee = 6777.9981km

Perigee Radius of Parabolic Orbit given Angular Momentum Formula Elements

Variables

Constants

Perigee Radius in Parabolic Orbit

Perigee Radius in Parabolic Orbit refers to the distance between the center of the Earth and the point in a satellite's orbit that is closest to the Earth's surface.

Symbol: r_p,perigee

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Perigee Radius in Parabolic Orbit

Angular Momentum of Parabolic Orbit

Angular Momentum of Parabolic Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.

Symbol: h_p

Measurement: Specific Angular MomentumUnit: km²/s

Note: Value should be greater than 0.

Formulas to find Angular Momentum of 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 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 Radial Position in Parabolic Orbit given Escape Velocity

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

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)}

How to Evaluate Perigee Radius of Parabolic Orbit given Angular Momentum?

Perigee Radius of Parabolic Orbit given Angular Momentum evaluator uses Perigee Radius in Parabolic Orbit = Angular Momentum of Parabolic Orbit^2/(2*[GM.Earth]) to evaluate the Perigee Radius in Parabolic Orbit, The Perigee Radius of Parabolic Orbit given Angular Momentum formula is defined as the distance from the center of the central body to the closest point of the parabolic orbit. this formula allows for the calculation of the perigee radius based on one critical parameter: angular momentum. Perigee Radius in Parabolic Orbit is denoted by r_p,perigee symbol.

How to evaluate Perigee Radius of Parabolic Orbit given Angular Momentum using this online evaluator? To use this online evaluator for Perigee Radius of Parabolic Orbit given Angular Momentum, enter Angular Momentum of Parabolic Orbit (h_p) and hit the calculate button.

FAQs on Perigee Radius of Parabolic Orbit given Angular Momentum

What is the formula to find Perigee Radius of Parabolic Orbit given Angular Momentum?

The formula of Perigee Radius of Parabolic Orbit given Angular Momentum is expressed as Perigee Radius in Parabolic Orbit = Angular Momentum of Parabolic Orbit^2/(2*[GM.Earth]). Here is an example- 1.12895 = 73508000000^2/(2*[GM.Earth]).

How to calculate Perigee Radius of Parabolic Orbit given Angular Momentum?

With Angular Momentum of Parabolic Orbit (h_p) we can find Perigee Radius of Parabolic Orbit given Angular Momentum using the formula - Perigee Radius in Parabolic Orbit = Angular Momentum of Parabolic Orbit^2/(2*[GM.Earth]). This formula also uses Earth’s Geocentric Gravitational Constant .

Can the Perigee Radius of Parabolic Orbit given Angular Momentum be negative?

No, the Perigee Radius of Parabolic Orbit given Angular Momentum, measured in Length cannot be negative.

Which unit is used to measure Perigee Radius of Parabolic Orbit given Angular Momentum?

Perigee Radius of Parabolic Orbit given Angular Momentum is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Perigee Radius of Parabolic Orbit given Angular Momentum can be measured.

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