FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Satellite Geostationary Radius Formula

GoGeostationary Radius Formula

Fx Copy

LaTeX Copy

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

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

R_gso - Geostationary Radius?P_day - Orbital Period in Days?[GM.Earth] - Earth’s Geocentric Gravitational Constant?π - Archimedes' constant?

Satellite Geostationary Radius Example

With values

With units

Only example

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

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

Here is how the Satellite Geostationary Radius equation looks like.

6752.8768 = {(\frac{4E+14 \cdot 353}{4 \cdot {3.1416}^{2}})}^{\frac{1}{3}}

6752.8768km = {(\frac{4E+14m³/s² \cdot 353d}{4 \cdot {3.1416}^{2}})}^{\frac{1}{3}}

6752.8768 = {(\frac{4E+14 \cdot 353}{4 \cdot {3.1416}^{2}})}^{\frac{1}{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Satellite Communication » fx Satellite Geostationary Radius

Satellite Geostationary Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R gso = {(\frac{[GM.Earth] \cdot 353d}{4 \cdot π^{2}})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

R gso = {(\frac{4E+14m³/s² \cdot 353d}{4 \cdot {3.1416}^{2}})}^{\frac{1}{3}}

Next Step Convert Units

∴

R gso = {(\frac{4E+14m³/s² \cdot 3E+7s}{4 \cdot {3.1416}^{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

R gso = {(\frac{4E+14 \cdot 3E+7}{4 \cdot {3.1416}^{2}})}^{\frac{1}{3}}

Next Step Evaluate

∴

R gso = 6752876.83838243m

Next Step Convert to Output's Unit

∴

R gso = 6752.87683838243km

LAST Step Rounding Answer

∴

R gso = 6752.8768km

Satellite 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

Orbital Period in Days

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

Symbol: P_day

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Orbital Period in Days

Earth’s Geocentric Gravitational Constant

Earth’s Geocentric Gravitational Constant the gravitational parameter for the Earth as the central body.

Symbol: [GM.Earth]

Value: 3.986004418E+14 m³/s²

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Geostationary Radius

Go Geostationary Radius

R gso = H gso + [Earth-R]

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 Satellite Geostationary Radius?

Satellite Geostationary Radius evaluator uses Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3) to evaluate 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 evaluate Satellite Geostationary Radius using this online evaluator? To use this online evaluator for Satellite Geostationary Radius, enter Orbital Period in Days (P_day) and hit the calculate button.

FAQs on Satellite Geostationary Radius

What is the formula to find Satellite Geostationary Radius?

The formula of Satellite Geostationary Radius is expressed as Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3). Here is an example- 6.752877 = (([GM.Earth]*30499200)/(4*pi^2))^(1/3).

How to calculate Satellite Geostationary Radius?

With Orbital Period in Days (P_day) we can find Satellite Geostationary Radius using the formula - Geostationary Radius = (([GM.Earth]*Orbital Period in Days)/(4*pi^2))^(1/3). This formula also uses Earth’s Geocentric Gravitational Constant, Archimedes' constant .

What are the other ways to Calculate Geostationary Radius?

Here are the different ways to Calculate Geostationary Radius-

Geostationary Radius=Geostationary Height+[Earth-R]

Can the Satellite Geostationary Radius be negative?

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

Which unit is used to measure Satellite Geostationary Radius?

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

Let Others Know

✖

Facebook

Twitter

Copied!