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Geostationary Radius Formula

GoSatellite Geostationary Radius Formula

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Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth. Check FAQs

R gso = H gso + [Earth-R]

R_gso - Geostationary Radius?H_gso - Geostationary Height?[Earth-R] - Earth mean radius?

Geostationary Radius Example

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With units

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Here is how the Geostationary Radius equation looks like with Values.

Here is how the Geostationary Radius equation looks like with Units.

Here is how the Geostationary Radius equation looks like.

6752.8088 = 381.8 + 6371.0088

6752.8088km = 381.8km + 6371.0088km

6752.8088 = 381.8 + 6371.0088

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Geostationary Radius Solution

Follow our step by step solution on how to calculate Geostationary Radius?

FIRST Step Consider the formula

R gso = H gso + [Earth-R]

Next Step Substitute values of Variables

∴

R gso = 381.8km + [Earth-R]

Next Step Substitute values of Constants

∴

R gso = 381.8km + 6371.0088km

Next Step Convert Units

∴

R gso = 381800m + 6371.0088km

Next Step Prepare to Evaluate

∴

R gso = 381800 + 6371.0088

Next Step Evaluate

∴

R gso = 6752808.8m

LAST Step Convert to Output's Unit

∴

R gso = 6752.8088km

Geostationary Radius Formula Elements

Variables

Constants

Geostationary Radius

Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.

Symbol: R_gso

Measurement: LengthUnit: km

Note: Value should be greater than 6371.

Formulas to find Geostationary Radius

Geostationary Height

Geostationary Height refers to the altitude at which a geostationary satellite is positioned above the Earth's equator.

Symbol: H_gso

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Geostationary Height

Earth mean radius

Earth mean radius represents the average distance from the Earth's center to any point on its surface, providing a single value to characterize the size of the Earth.

Symbol: [Earth-R]

Value: 6371.0088 km

Other Formulas to find Geostationary Radius

Go Satellite Geostationary Radius

R gso = {(\frac{[GM.Earth] \cdot P day}{4 \cdot π^{2}})}^{\frac{1}{3}}

Other formulas in Geostationary Orbit category

Go Angle of Elevation

∠θ el = ∠θ R - ∠θ tilt - λ e

Go Angle of Tilt

∠θ tilt = ∠θ R - ∠θ el - λ e

Go Geostationary Height

H gso = R gso - [Earth-R]

Go Power Density at Satellite Station

P d = EIRP - L path - L total - (10 \cdot \log 10 (4 \cdot π)) - (20 \cdot \log 10 (R sat))

How to Evaluate Geostationary Radius?

Geostationary Radius evaluator uses Geostationary Radius = Geostationary Height+[Earth-R] to evaluate the Geostationary Radius, Geostationary Radius is the distance from Earth's center to a satellite in geostationary orbit, enabling synchronous orbit with Earth's rotation for communication purposes. Geostationary Radius is denoted by R_gso symbol.

How to evaluate Geostationary Radius using this online evaluator? To use this online evaluator for Geostationary Radius, enter Geostationary Height (H_gso) and hit the calculate button.

FAQs on Geostationary Radius

What is the formula to find Geostationary Radius?

The formula of Geostationary Radius is expressed as Geostationary Radius = Geostationary Height+[Earth-R]. Here is an example- 6.571009 = 381800+[Earth-R].

How to calculate Geostationary Radius?

With Geostationary Height (H_gso) we can find Geostationary Radius using the formula - Geostationary Radius = Geostationary Height+[Earth-R]. This formula also uses Earth mean radius constant(s).

What are the other ways to Calculate Geostationary Radius?

Here are the different ways to Calculate Geostationary Radius-

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

Can the Geostationary Radius be negative?

No, the Geostationary Radius, measured in Length cannot be negative.

Which unit is used to measure Geostationary Radius?

Geostationary Radius is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Geostationary Radius can be measured.

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