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Angular Momentum given Perigee Radius of Parabolic Orbit Formula

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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. Check FAQs

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

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

Angular Momentum given Perigee Radius of Parabolic Orbit Example

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

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

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

73508.0104 = \sqrt{2 \cdot 4E+14 \cdot 6778}

73508.0104km²/s = \sqrt{2 \cdot 4E+14m³/s² \cdot 6778km}

73508.0104 = \sqrt{2 \cdot 4E+14 \cdot 6778}

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Angular Momentum given Perigee Radius of Parabolic Orbit Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h p = \sqrt{2 \cdot [GM.Earth] \cdot 6778km}

Next Step Substitute values of Constants

∴

h p = \sqrt{2 \cdot 4E+14m³/s² \cdot 6778km}

Next Step Convert Units

∴

h p = \sqrt{2 \cdot 4E+14m³/s² \cdot 6.8E+6m}

Next Step Prepare to Evaluate

∴

h p = \sqrt{2 \cdot 4E+14 \cdot 6.8E+6}

Next Step Evaluate

∴

h p = 73508010373.2974m²/s

Next Step Convert to Output's Unit

∴

h p = 73508.0103732974km²/s

LAST Step Rounding Answer

∴

h p = 73508.0104km²/s

Angular Momentum given Perigee Radius of Parabolic Orbit Formula Elements

Variables

Constants

Functions

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

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

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

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 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 Angular Momentum given Perigee Radius of Parabolic Orbit?

Angular Momentum given Perigee Radius of Parabolic Orbit evaluator uses Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*Perigee Radius in Parabolic Orbit) to evaluate the Angular Momentum of Parabolic Orbit, The Angular Momentum given Perigee Radius of Parabolic Orbit formula calculates the angular momentum of an object in a parabolic orbit based on its perigee radius and the standard gravitational parameter of the central body. Angular momentum is a conserved quantity in orbital mechanics, meaning it remains constant unless acted upon by an external torque. Angular Momentum of Parabolic Orbit is denoted by h_p symbol.

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

FAQs on Angular Momentum given Perigee Radius of Parabolic Orbit

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

The formula of Angular Momentum given Perigee Radius of Parabolic Orbit is expressed as Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*Perigee Radius in Parabolic Orbit). Here is an example- 0.073508 = sqrt(2*[GM.Earth]*6778000).

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

With Perigee Radius in Parabolic Orbit (r_p,perigee) we can find Angular Momentum given Perigee Radius of Parabolic Orbit using the formula - Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*Perigee Radius in Parabolic Orbit). This formula also uses Earth’s Geocentric Gravitational Constant and Square Root (sqrt) function(s).

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

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

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

Angular Momentum given Perigee Radius of Parabolic Orbit is usually measured using the Square Kilometer per Second[km²/s] for Specific Angular Momentum. Squaer Meter per Second[km²/s] are the few other units in which Angular Momentum given Perigee Radius of Parabolic Orbit can be measured.

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