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)
hp = sqrt(2*[GM.Earth]*rp,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
hp = sqrt(2*[GM.Earth]*rp,perigee) --> sqrt(2*[GM.Earth]*6778000)
Evaluating ... ...
hp = 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 00.020 seconds)

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Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal
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Parabolic Orbit Parameters Calculators

X Coordinate of Parabolic Trajectory given Parameter of Orbit
​ LaTeX ​ 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
​ LaTeX ​ Go Y Coordinate Value = Parameter of Parabolic Orbit*sin(True Anomaly in Parabolic Orbit)/(1+cos(True Anomaly in Parabolic Orbit))
Escape Velocity given Radius of Parabolic Trajectory
​ LaTeX ​ Go Escape Velocity in Parabolic Orbit = sqrt((2*[GM.Earth])/Radial Position in Parabolic Orbit)
Radial Position in Parabolic Orbit given Escape Velocity
​ LaTeX ​ Go Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2

Angular Momentum given Perigee Radius of Parabolic Orbit Formula

​LaTeX ​Go
Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*Perigee Radius in Parabolic Orbit)
hp = sqrt(2*[GM.Earth]*rp,perigee)

What is Perigee Radius of Parabolic Orbit ?

The term "perigee radius" is typically associated with orbits around Earth or other celestial bodies and refers to the distance between the center of the central body and the point of closest approach (perigee) of the orbiting object, in the case of a parabolic orbit, there is a unique situation: the orbit is open-ended, and there is no perigee or apogee as in elliptical orbits. Instead, the focus of attention in parabolic orbits is typically on the point of closest approach to the central body.

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 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 hp 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 (rp,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 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 and is represented as hp = sqrt(2*[GM.Earth]*rp,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 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 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 (rp,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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