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Angular Momentum of Trajectory given Parameter of Orbit Formula

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Angular Momentum of 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 = \sqrt{p \cdot [GM.Earth]}

h - Angular Momentum of Orbit?p - Parameter of Orbit?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Angular Momentum of Trajectory given Parameter of Orbit Example

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Here is how the Angular Momentum of Trajectory given Parameter of Orbit equation looks like with Values.

Here is how the Angular Momentum of Trajectory given Parameter of Orbit equation looks like with Units.

Here is how the Angular Momentum of Trajectory given Parameter of Orbit equation looks like.

65611.6207 = \sqrt{10800 \cdot 4E+14}

65611.6207km²/s = \sqrt{10800km \cdot 4E+14m³/s²}

65611.6207 = \sqrt{10800 \cdot 4E+14}

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Angular Momentum of Trajectory given Parameter of Orbit Solution

Follow our step by step solution on how to calculate Angular Momentum of Trajectory given Parameter of Orbit?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{10800km \cdot [GM.Earth]}

Next Step Substitute values of Constants

∴

h = \sqrt{10800km \cdot 4E+14m³/s²}

Next Step Convert Units

∴

h = \sqrt{1.1E+7m \cdot 4E+14m³/s²}

Next Step Prepare to Evaluate

∴

h = \sqrt{1.1E+7 \cdot 4E+14}

Next Step Evaluate

∴

h = 65611620704.2624m²/s

Next Step Convert to Output's Unit

∴

h = 65611.6207042624km²/s

LAST Step Rounding Answer

∴

h = 65611.6207km²/s

Angular Momentum of Trajectory given Parameter of Orbit Formula Elements

Variables

Constants

Functions

Angular Momentum of Orbit

Angular Momentum of 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

Measurement: Specific Angular MomentumUnit: km²/s

Note: Value should be greater than 0.

Formulas to find Angular Momentum of Orbit

Parameter of Orbit

Parameter of Orbit is defined as the half of chord length through the center of attraction perpendicular to the apse line.

Symbol: p

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Parameter of 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 Fundamental Parameters category

Go Rocket Mass Ratio

M R = e^{\frac{ΔV}{V e}}

Go Tsiolkovsky Rocket Equation

ΔV = I sp \cdot [g] \cdot \ln (\frac{M wet}{M dry})

Go Standard Gravitational Parameter

μ std = [G.] \cdot (M 1)

Go Parameter of Orbit

p = \frac{h^{2}}{μ std}

How to Evaluate Angular Momentum of Trajectory given Parameter of Orbit?

Angular Momentum of Trajectory given Parameter of Orbit evaluator uses Angular Momentum of Orbit = sqrt(Parameter of Orbit*[GM.Earth]) to evaluate the Angular Momentum of Orbit, Angular Momentum of Trajectory given Parameter of Orbit refers to the rotational momentum of an orbiting object around the central body. It's a fundamental quantity in orbital mechanics and characterizes the motion of objects in orbit, this equation describes the magnitude of the angular momentum vector, which is conserved unless external torques act upon the orbiting object. Angular Momentum of Orbit is denoted by h symbol.

How to evaluate Angular Momentum of Trajectory given Parameter of Orbit using this online evaluator? To use this online evaluator for Angular Momentum of Trajectory given Parameter of Orbit, enter Parameter of Orbit (p) and hit the calculate button.

FAQs on Angular Momentum of Trajectory given Parameter of Orbit

What is the formula to find Angular Momentum of Trajectory given Parameter of Orbit?

The formula of Angular Momentum of Trajectory given Parameter of Orbit is expressed as Angular Momentum of Orbit = sqrt(Parameter of Orbit*[GM.Earth]). Here is an example- 0.065612 = sqrt(10800000*[GM.Earth]).

How to calculate Angular Momentum of Trajectory given Parameter of Orbit?

With Parameter of Orbit (p) we can find Angular Momentum of Trajectory given Parameter of Orbit using the formula - Angular Momentum of Orbit = sqrt(Parameter of Orbit*[GM.Earth]). This formula also uses Earth’s Geocentric Gravitational Constant and Square Root (sqrt) function(s).

Can the Angular Momentum of Trajectory given Parameter of Orbit be negative?

No, the Angular Momentum of Trajectory given Parameter of Orbit, measured in Specific Angular Momentum cannot be negative.

Which unit is used to measure Angular Momentum of Trajectory given Parameter of Orbit?

Angular Momentum of Trajectory given Parameter of 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 of Trajectory given Parameter of Orbit can be measured.

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