Azimuth-Averaged Radius Given Apogee and Perigee Radii Solution

STEP 0: Pre-Calculation Summary
Formula Used
Azimuth Averaged Radius = sqrt(Apogee Radius in Elliptic Orbit*Perigee Radius in Elliptic Orbit)
rθ = sqrt(re,apogee*re,perigee)
This formula uses 1 Functions, 3 Variables
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
Azimuth Averaged Radius - (Measured in Meter) - Azimuth Averaged Radius is square root of the product of the maximum distance (apogee) and the minimum distance (perigee) from the focus of an elliptical orbit..
Apogee Radius in Elliptic Orbit - (Measured in Meter) - Apogee Radius in Elliptic Orbit represents the maximum distance between an orbiting body and the object it orbits.
Perigee Radius in Elliptic Orbit - (Measured in Meter) - Perigee Radius in Elliptic 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
Apogee Radius in Elliptic Orbit: 27110 Kilometer --> 27110000 Meter (Check conversion ​here)
Perigee Radius in Elliptic Orbit: 6778 Kilometer --> 6778000 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rθ = sqrt(re,apogee*re,perigee) --> sqrt(27110000*6778000)
Evaluating ... ...
rθ = 13555499.9907787
STEP 3: Convert Result to Output's Unit
13555499.9907787 Meter -->13555.4999907787 Kilometer (Check conversion ​here)
FINAL ANSWER
13555.4999907787 13555.5 Kilometer <-- Azimuth Averaged Radius
(Calculation completed in 00.004 seconds)

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Elliptical Orbit Parameters Calculators

Eccentricity of Elliptical Orbit given Apogee and Perigee
​ LaTeX ​ Go Eccentricity of Elliptical Orbit = (Apogee Radius in Elliptic Orbit-Perigee Radius in Elliptic Orbit)/(Apogee Radius in Elliptic Orbit+Perigee Radius in Elliptic Orbit)
Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity
​ LaTeX ​ Go Apogee Radius in Elliptic Orbit = Angular Momentum of Elliptic Orbit^2/([GM.Earth]*(1-Eccentricity of Elliptical Orbit))
Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii
​ LaTeX ​ Go Semi Major Axis of Elliptic Orbit = (Apogee Radius in Elliptic Orbit+Perigee Radius in Elliptic Orbit)/2
Angular Momentum in Elliptic Orbit Given Apogee Radius and Apogee Velocity
​ LaTeX ​ Go Angular Momentum of Elliptic Orbit = Apogee Radius in Elliptic Orbit*Velocity of Satellite at Apogee

Azimuth-Averaged Radius Given Apogee and Perigee Radii Formula

​LaTeX ​Go
Azimuth Averaged Radius = sqrt(Apogee Radius in Elliptic Orbit*Perigee Radius in Elliptic Orbit)
rθ = sqrt(re,apogee*re,perigee)

What is Azimuth ?

Azimuth is a term commonly used in navigation, astronomy, and geography to refer to the direction of a celestial object or a point on the horizon, measured clockwise from true north in degrees. It provides a way to specify directions horizontally, particularly in the context of spherical coordinates.

How to Calculate Azimuth-Averaged Radius Given Apogee and Perigee Radii?

Azimuth-Averaged Radius Given Apogee and Perigee Radii calculator uses Azimuth Averaged Radius = sqrt(Apogee Radius in Elliptic Orbit*Perigee Radius in Elliptic Orbit) to calculate the Azimuth Averaged Radius, Azimuth-Averaged Radius Given Apogee and Perigee Radii formula is defined as a measure of the average radius of an elliptical orbit at a given azimuth, providing a crucial parameter in understanding the shape and size of orbits in astronomy and space exploration. Azimuth Averaged Radius is denoted by rθ symbol.

How to calculate Azimuth-Averaged Radius Given Apogee and Perigee Radii using this online calculator? To use this online calculator for Azimuth-Averaged Radius Given Apogee and Perigee Radii, enter Apogee Radius in Elliptic Orbit (re,apogee) & Perigee Radius in Elliptic Orbit (re,perigee) and hit the calculate button. Here is how the Azimuth-Averaged Radius Given Apogee and Perigee Radii calculation can be explained with given input values -> 13.5555 = sqrt(27110000*6778000).

FAQ

What is Azimuth-Averaged Radius Given Apogee and Perigee Radii?
Azimuth-Averaged Radius Given Apogee and Perigee Radii formula is defined as a measure of the average radius of an elliptical orbit at a given azimuth, providing a crucial parameter in understanding the shape and size of orbits in astronomy and space exploration and is represented as rθ = sqrt(re,apogee*re,perigee) or Azimuth Averaged Radius = sqrt(Apogee Radius in Elliptic Orbit*Perigee Radius in Elliptic Orbit). Apogee Radius in Elliptic Orbit represents the maximum distance between an orbiting body and the object it orbits & Perigee Radius in Elliptic 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 Azimuth-Averaged Radius Given Apogee and Perigee Radii?
Azimuth-Averaged Radius Given Apogee and Perigee Radii formula is defined as a measure of the average radius of an elliptical orbit at a given azimuth, providing a crucial parameter in understanding the shape and size of orbits in astronomy and space exploration is calculated using Azimuth Averaged Radius = sqrt(Apogee Radius in Elliptic Orbit*Perigee Radius in Elliptic Orbit). To calculate Azimuth-Averaged Radius Given Apogee and Perigee Radii, you need Apogee Radius in Elliptic Orbit (re,apogee) & Perigee Radius in Elliptic Orbit (re,perigee). With our tool, you need to enter the respective value for Apogee Radius in Elliptic Orbit & Perigee Radius in Elliptic 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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