Satellite Geostationary Radius Calculator

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Geostationary Orbit

Radio Wave Propagation

Satellite Orbital Characteristics

✖Orbital Period in Days is the number of days a given astronomical object takes to complete one orbit around another object.ⓘ Orbital Period in Days [P_day]

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✖Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.ⓘ Satellite Geostationary Radius [R_gso]

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Formula

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Satellite Geostationary Radius

Formula

`"R"_{"gso"} = (("[GM.Earth]"*"P"_{"day"})/(4*pi^2))^(1/3)`

Example

`"6752.877km"=(("[GM.Earth]"*"353d")/(4*pi^2))^(1/3)`

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Download Geostationary Orbit Formulas PDF

Satellite Geostationary Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3)
R_gso = (([GM.Earth]*P_day)/(4*pi^2))^(1/3)
This formula uses 2 Constants, 2 Variables

Constants Used

[GM.Earth] - Earth’s Geocentric Gravitational Constant Value Taken As 3.986004418E+14
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Geostationary Radius - (Measured in Meter) - Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.
Orbital Period in Days - (Measured in Second) - Orbital Period in Days is the number of days a given astronomical object takes to complete one orbit around another object.

STEP 1: Convert Input(s) to Base Unit

Orbital Period in Days: 353 Day --> 30499200 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_gso = (([GM.Earth]*P_day)/(4*pi^2))^(1/3) --> (([GM.Earth]*30499200)/(4*pi^2))^(1/3)

Evaluating ... ...

R_gso = 6752876.83838243

STEP 3: Convert Result to Output's Unit

6752876.83838243 Meter -->6752.87683838243 Kilometer (Check conversion here)

FINAL ANSWER

6752.87683838243 ≈ 6752.877 Kilometer <-- Geostationary Radius

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 14 Geostationary Orbit Calculators

Power Density at Satellite Station

Go Power Density at Satellite Station = Effective Isotropic Radiated Power-Path Loss-Total Loss-(10*log10(4*pi))-(20*log10(Range of Satellite))

Earth Station Latitude

Go Earth Station Latitude = Right Angle-Angle of Elevation-Tilt Angle

Angle of Elevation

Go Angle of Elevation = Right Angle-Tilt Angle-Earth Station Latitude

Angle of Tilt

Go Tilt Angle = Right Angle-Angle of Elevation-Earth Station Latitude

Time of Perigee Passage

Go Perigee Passage = Time in Minutes-(Mean Anomaly/Mean Motion)

Satellite Geostationary Radius

Go Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3)

Geostationary Height

Go Geostationary Height = Geostationary Radius-[Earth-R]

Geostationary Radius

Go Geostationary Radius = Geostationary Height+[Earth-R]

Length of Radius Vectors at Perigee

Go Perigee Radius = Major Orbital Axis*(1-Eccentricity)

Length of Radius Vectors at Apogee

Go Apogee Radius = Major Orbital Axis*(1+Eccentricity)

Perigee Heights

Go Perigee Height = Perigee Radius-[Earth-R]

Azimuth Angle

Go Azimuth Angle = Straight Angle-Acute Angle

Acute Value

Go Acute Angle = Straight Angle-Azimuth Angle

Apogee Heights

Go Apogee Height = Apogee Radius-[Earth-R]

Satellite Geostationary Radius Formula

Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3)
R_gso = (([GM.Earth]*P_day)/(4*pi^2))^(1/3)

What is Geostationary Equatorial Orbit?

A geostationary equatorial orbit (GEO) is a circular geosynchronous orbit in the plane of the Earth's equator with a radius of approximately 42,164 km (26,199 mi) (measured from the center of the Earth).

How to Calculate Satellite Geostationary Radius?

Satellite Geostationary Radius calculator uses Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3) to calculate the Geostationary Radius, Satellite Geostationary Radius refers to the distance between the center of the Earth and a satellite positioned in a geostationary orbit. A geostationary orbit is a specific type of orbit where a satellite orbits the Earth at the same rate that the Earth rotates, allowing the satellite to appear stationary relative to a fixed point on the Earth's surface. Geostationary Radius is denoted by R_gso symbol.

How to calculate Satellite Geostationary Radius using this online calculator? To use this online calculator for Satellite Geostationary Radius, enter Orbital Period in Days (P_day) and hit the calculate button. Here is how the Satellite Geostationary Radius calculation can be explained with given input values -> 6.752877 = (([GM.Earth]*30499200)/(4*pi^2))^(1/3).

FAQ

What is Satellite Geostationary Radius?

Satellite Geostationary Radius refers to the distance between the center of the Earth and a satellite positioned in a geostationary orbit. A geostationary orbit is a specific type of orbit where a satellite orbits the Earth at the same rate that the Earth rotates, allowing the satellite to appear stationary relative to a fixed point on the Earth's surface and is represented as R_gso = (([GM.Earth]*P_day)/(4*pi^2))^(1/3) or Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3). Orbital Period in Days is the number of days a given astronomical object takes to complete one orbit around another object.

How to calculate Satellite Geostationary Radius?

Satellite Geostationary Radius refers to the distance between the center of the Earth and a satellite positioned in a geostationary orbit. A geostationary orbit is a specific type of orbit where a satellite orbits the Earth at the same rate that the Earth rotates, allowing the satellite to appear stationary relative to a fixed point on the Earth's surface is calculated using Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3). To calculate Satellite Geostationary Radius, you need Orbital Period in Days (P_day). With our tool, you need to enter the respective value for Orbital Period in Days and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Geostationary Radius?

In this formula, Geostationary Radius uses Orbital Period in Days. We can use 1 other way(s) to calculate the same, which is/are as follows -

Geostationary Radius = Geostationary Height+[Earth-R]

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