Geopotential altitude Solution

STEP 0: Pre-Calculation Summary
Formula Used
Geopotential altitude = [Earth-R]*Geometric Altitude/([Earth-R]+Geometric Altitude)
h = [Earth-R]*hG/([Earth-R]+hG)
This formula uses 1 Constants, 2 Variables
Constants Used
[Earth-R] - Earth mean radius Value Taken As 6371.0088
Variables Used
Geopotential altitude - (Measured in Meter) - Geopotential altitude is the geometric altitude corrected for the gravity variation.
Geometric Altitude - (Measured in Meter) - Geometric altitude is the altitude as measured from the mean sea level.
STEP 1: Convert Input(s) to Base Unit
Geometric Altitude: 3000 Meter --> 3000 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = [Earth-R]*hG/([Earth-R]+hG) --> [Earth-R]*3000/([Earth-R]+3000)
Evaluating ... ...
h = 2998.58801575549
STEP 3: Convert Result to Output's Unit
2998.58801575549 Meter --> No Conversion Required
FINAL ANSWER
2998.58801575549 2998.588 Meter <-- Geopotential altitude
(Calculation completed in 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
Verified by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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14 Atmosphere and Gas Properties Calculators

Mach Number given Dynamic Pressure
Go Mach Number = sqrt((2*Dynamic Pressure)/(Ambient Air Density*Heat Capacity Ratio*Specific Gas Constant*Static Temperature))
Ambient Air Density given Mach Number and Temperature
Go Ambient Air Density = (2*Dynamic Pressure)/(Mach Number^2*Heat Capacity Ratio*Specific Gas Constant*Static Temperature)
Temperature given Dynamic Pressure and Mach Number
Go Static Temperature = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Specific Gas Constant*Heat Capacity Ratio)
Gas constant given dynamic pressure
Go Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature)
Equivalent Airspeed given Static Pressure
Go Equivalent Airspeed = Sonic Speed at Sea Level*Mach Number*(Static Pressure*6894.7573/Static Sea Level Pressure)^(0.5)
Geometric altitude for given geopotential altitude
Go Geometric Altitude = [Earth-R]*Geopotential altitude/([Earth-R]-Geopotential altitude)
Geopotential altitude
Go Geopotential altitude = [Earth-R]*Geometric Altitude/([Earth-R]+Geometric Altitude)
Mach Number given Static and Dynamic Pressure
Go Mach Number = sqrt(2*Dynamic Pressure/(Static Pressure*Heat Capacity Ratio))
Ambient Pressure given Dynamic Pressure and Mach Number
Go Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2)
Ambient air density given mach number
Go Ambient Air Density = 2*Dynamic Pressure/(Mach Number*Sonic Speed)^2
Ambient air density given dynamic pressure
Go Ambient Air Density = 2*Dynamic Pressure/(Flight Speed^2)
Lapse rate
Go Lapse Rate = Change in Temperature/Altitude difference
Geometric altitude
Go Geometric Altitude = Absolute Altitude-[Earth-R]
Absolute altitude
Go Absolute Altitude = Geometric Altitude+[Earth-R]

Geopotential altitude Formula

Geopotential altitude = [Earth-R]*Geometric Altitude/([Earth-R]+Geometric Altitude)
h = [Earth-R]*hG/([Earth-R]+hG)

How is Geopotential altitude different from geometric altitude?

The geopotential altitude uses gravity at sea level and takes it to be constant. Whereas geometric altitude uses gravity at the point of measurement.

How to Calculate Geopotential altitude?

Geopotential altitude calculator uses Geopotential altitude = [Earth-R]*Geometric Altitude/([Earth-R]+Geometric Altitude) to calculate the Geopotential altitude, Geopotential altitude is a vertical coordinate referenced to Earth's mean sea level, an adjustment to geometric height (altitude above mean sea level) that accounts for the variation of gravity with latitude and altitude. Geopotential altitude is denoted by h symbol.

How to calculate Geopotential altitude using this online calculator? To use this online calculator for Geopotential altitude, enter Geometric Altitude (hG) and hit the calculate button. Here is how the Geopotential altitude calculation can be explained with given input values -> 2998.588 = [Earth-R]*3000/([Earth-R]+3000).

FAQ

What is Geopotential altitude?
Geopotential altitude is a vertical coordinate referenced to Earth's mean sea level, an adjustment to geometric height (altitude above mean sea level) that accounts for the variation of gravity with latitude and altitude and is represented as h = [Earth-R]*hG/([Earth-R]+hG) or Geopotential altitude = [Earth-R]*Geometric Altitude/([Earth-R]+Geometric Altitude). Geometric altitude is the altitude as measured from the mean sea level.
How to calculate Geopotential altitude?
Geopotential altitude is a vertical coordinate referenced to Earth's mean sea level, an adjustment to geometric height (altitude above mean sea level) that accounts for the variation of gravity with latitude and altitude is calculated using Geopotential altitude = [Earth-R]*Geometric Altitude/([Earth-R]+Geometric Altitude). To calculate Geopotential altitude, you need Geometric Altitude (hG). With our tool, you need to enter the respective value for Geometric Altitude 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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