Angular Momentum given Perigee Radius of Parabolic Orbit Calculator

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The Two Body Problem

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Parabolic Orbits

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Fundamental Parameters

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Parabolic Orbit Parameters

Orbital Position as Function of Time

✖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.ⓘ Perigee Radius in Parabolic Orbit [r_p,perigee]

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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.ⓘ Angular Momentum given Perigee Radius of Parabolic Orbit [h_p]

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Formula

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Angular Momentum given Perigee Radius of Parabolic Orbit

Formula

`"h"_{"p"} = sqrt(2*"[GM.Earth]"*"r"_{"p,perigee"})`

Example

`"73508.01km²/s"=sqrt(2*"[GM.Earth]"*"6778km")`

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Angular Momentum given Perigee Radius of Parabolic Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*Perigee Radius in Parabolic Orbit)
h_p = sqrt(2*[GM.Earth]*r_p,perigee)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[GM.Earth] - Earth’s Geocentric Gravitational Constant Value Taken As 3.986004418E+14

Functions Used

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., sqrt(Number)

Variables Used

Angular Momentum of Parabolic Orbit - (Measured in Squaer Meter per Second) - 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.
Perigee Radius in Parabolic Orbit - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Perigee Radius in Parabolic Orbit: 6778 Kilometer --> 6778000 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_p = sqrt(2*[GM.Earth]*r_p,perigee) --> sqrt(2*[GM.Earth]*6778000)

Evaluating ... ...

h_p = 73508010373.2974

STEP 3: Convert Result to Output's Unit

73508010373.2974 Squaer Meter per Second -->73508.0103732974 Square Kilometer per Second (Check conversion here)

FINAL ANSWER

73508.0103732974 ≈ 73508.01 Square Kilometer per Second <-- Angular Momentum of Parabolic Orbit

(Calculation completed in 00.007 seconds)

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Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< 10+ Parabolic Orbit Parameters Calculators

X Coordinate of Parabolic Trajectory given Parameter of Orbit

Go X Coordinate Value = Parameter of Parabolic Orbit*(cos(True Anomaly in Parabolic Orbit)/(1+cos(True Anomaly in Parabolic Orbit)))

Y Coordinate of Parabolic Trajectory given Parameter of Orbit

Go Y Coordinate Value = Parameter of Parabolic Orbit*sin(True Anomaly in Parabolic Orbit)/(1+cos(True Anomaly in Parabolic Orbit))

Parameter of Orbit given X Coordinate of Parabolic Trajectory

Go Parameter of Parabolic Orbit = X Coordinate Value*(1+cos(True Anomaly in Parabolic Orbit))/cos(True Anomaly in Parabolic Orbit)

Parameter of Orbit given Y Coordinate of Parabolic Trajectory

Go Parameter of Parabolic Orbit = Y Coordinate Value*(1+cos(True Anomaly in Parabolic Orbit))/sin(True Anomaly in Parabolic Orbit)

Radial Position in Parabolic Orbit given Angular Momentum and True Anomaly

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

True Anomaly in Parabolic Orbit given Radial Position and Angular Momentum

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

Escape Velocity given Radius of Parabolic Trajectory

Go Escape Velocity in Parabolic Orbit = sqrt((2*[GM.Earth])/Radial Position in Parabolic Orbit)

Angular Momentum given Perigee Radius of Parabolic Orbit

Go Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*Perigee Radius in Parabolic Orbit)

Radial Position in Parabolic Orbit given Escape Velocity

Go Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2

Perigee Radius of Parabolic Orbit given Angular Momentum

Go Perigee Radius in Parabolic Orbit = Angular Momentum of Parabolic Orbit^2/(2*[GM.Earth])

Angular Momentum given Perigee Radius of Parabolic Orbit Formula

Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*Perigee Radius in Parabolic Orbit)
h_p = sqrt(2*[GM.Earth]*r_p,perigee)

Why are parabolic trajectories also called as escape trajectories?

If the body of some mass m is launched on a parabolic trajectory, it will coast to infinity, arriving there with zero velocity relative to central body. It will not return. Parabolic paths are therefore called escape trajectories.

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

Angular Momentum given Perigee Radius of Parabolic Orbit calculator uses Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*Perigee Radius in Parabolic Orbit) to calculate the Angular Momentum of Parabolic Orbit, The Angular Momentum given Perigee Radius of Parabolic Orbit formula is defined as square root of the twice the product of Gravitational Constant of Earth and Perigee Radius. Angular Momentum of Parabolic Orbit is denoted by h_p symbol.

How to calculate Angular Momentum given Perigee Radius of Parabolic Orbit using this online calculator? To use this online calculator for Angular Momentum given Perigee Radius of Parabolic Orbit, enter Perigee Radius in Parabolic Orbit (r_p,perigee) and hit the calculate button. Here is how the Angular Momentum given Perigee Radius of Parabolic Orbit calculation can be explained with given input values -> 0.073508 = sqrt(2*[GM.Earth]*6778000).

FAQ

What is Angular Momentum given Perigee Radius of Parabolic Orbit?

The Angular Momentum given Perigee Radius of Parabolic Orbit formula is defined as square root of the twice the product of Gravitational Constant of Earth and Perigee Radius and is represented as h_p = sqrt(2*[GM.Earth]*r_p,perigee) or Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*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.

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

The Angular Momentum given Perigee Radius of Parabolic Orbit formula is defined as square root of the twice the product of Gravitational Constant of Earth and Perigee Radius is calculated using Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*Perigee Radius in Parabolic Orbit). To calculate Angular Momentum given Perigee Radius of Parabolic Orbit, you need Perigee Radius in Parabolic Orbit (r_p,perigee). With our tool, you need to enter the respective value for Perigee Radius in Parabolic Orbit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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