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Circular Orbital Radius Given Time Period of Circular Orbit Formula

GoCircular Orbital Radius Formula

GoCircular Orbital Radius Given Velocity of Circular Orbit Formula

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The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path. Check FAQs

r = {(\frac{T or \cdot \sqrt{[GM.Earth]}}{2 \cdot π})}^{\frac{2}{3}}

r - Orbit Radius?T_or - Time Period of Orbit?[GM.Earth] - Earth’s Geocentric Gravitational Constant?π - Archimedes' constant?

Circular Orbital Radius Given Time Period of Circular Orbit Example

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Here is how the Circular Orbital Radius Given Time Period of Circular Orbit equation looks like with Values.

Here is how the Circular Orbital Radius Given Time Period of Circular Orbit equation looks like with Units.

Here is how the Circular Orbital Radius Given Time Period of Circular Orbit equation looks like.

10859.3299 = {(\frac{11262 \cdot \sqrt{4E+14}}{2 \cdot 3.1416})}^{\frac{2}{3}}

10859.3299km = {(\frac{11262s \cdot \sqrt{4E+14m³/s²}}{2 \cdot 3.1416})}^{\frac{2}{3}}

10859.3299 = {(\frac{11262 \cdot \sqrt{4E+14}}{2 \cdot 3.1416})}^{\frac{2}{3}}

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Circular Orbital Radius Given Time Period of Circular Orbit Solution

Follow our step by step solution on how to calculate Circular Orbital Radius Given Time Period of Circular Orbit?

FIRST Step Consider the formula

r = {(\frac{T or \cdot \sqrt{[GM.Earth]}}{2 \cdot π})}^{\frac{2}{3}}

Next Step Substitute values of Variables

∴

r = {(\frac{11262s \cdot \sqrt{[GM.Earth]}}{2 \cdot π})}^{\frac{2}{3}}

Next Step Substitute values of Constants

∴

r = {(\frac{11262s \cdot \sqrt{4E+14m³/s²}}{2 \cdot 3.1416})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

r = {(\frac{11262 \cdot \sqrt{4E+14}}{2 \cdot 3.1416})}^{\frac{2}{3}}

Next Step Evaluate

∴

r = 10859329.9350925m

Next Step Convert to Output's Unit

∴

r = 10859.3299350925km

LAST Step Rounding Answer

∴

r = 10859.3299km

Circular Orbital Radius Given Time Period of Circular Orbit Formula Elements

Variables

Constants

Functions

Orbit Radius

The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.

Symbol: r

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Orbit Radius

Time Period of Orbit

The Time Period of Orbit is the amount of time a given astronomical object takes to complete one orbit around another object.

Symbol: T_or

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period of Orbit

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

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.

Syntax: sqrt(Number)

Other Formulas to find Orbit Radius

Go Circular Orbital Radius

r = \frac{{h c}^{2}}{[GM.Earth]}

Go Circular Orbital Radius Given Velocity of Circular Orbit

r = \frac{[GM.Earth]}{{v cir}^{2}}

Go Orbital Radius Given Specific Energy of Circular Orbit

r = - \frac{[GM.Earth]}{2 \cdot ε}

Other formulas in Circular Orbit Parameters category

Go Orbital Period

T or = 2 \cdot π \cdot \sqrt{\frac{r^{3}}{[G.] \cdot M}}

Go Velocity of Circular Orbit

v cir = \sqrt{\frac{[GM.Earth]}{r}}

Go Time Period of Circular Orbit

T or = \frac{2 \cdot π \cdot r^{\frac{3}{2}}}{\sqrt{[GM.Earth]}}

Go Specific Energy of Circular Orbit

ε = - \frac{{[GM.Earth]}^{2}}{2 \cdot {h c}^{2}}

How to Evaluate Circular Orbital Radius Given Time Period of Circular Orbit?

Circular Orbital Radius Given Time Period of Circular Orbit evaluator uses Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3) to evaluate the Orbit Radius, Circular Orbital Radius Given Time Period of Circular Orbit formula is defined as a measure of the distance of a satellite from the center of the Earth in a circular orbit, which is influenced by the gravitational force of the Earth and the time period of the orbit. Orbit Radius is denoted by r symbol.

How to evaluate Circular Orbital Radius Given Time Period of Circular Orbit using this online evaluator? To use this online evaluator for Circular Orbital Radius Given Time Period of Circular Orbit, enter Time Period of Orbit (T_or) and hit the calculate button.

FAQs on Circular Orbital Radius Given Time Period of Circular Orbit

What is the formula to find Circular Orbital Radius Given Time Period of Circular Orbit?

The formula of Circular Orbital Radius Given Time Period of Circular Orbit is expressed as Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3). Here is an example- 8.645418 = ((11262*sqrt([GM.Earth]))/(2*pi))^(2/3).

How to calculate Circular Orbital Radius Given Time Period of Circular Orbit?

With Time Period of Orbit (T_or) we can find Circular Orbital Radius Given Time Period of Circular Orbit using the formula - Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3). This formula also uses Earth’s Geocentric Gravitational Constant, Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Orbit Radius?

Here are the different ways to Calculate Orbit Radius-

Orbit Radius=Angular Momentum of Circular Orbit^2/[GM.Earth]
Orbit Radius=[GM.Earth]/Velocity of Circular Orbit^2
Orbit Radius=-([GM.Earth])/(2*Specific Energy of Orbit)

Can the Circular Orbital Radius Given Time Period of Circular Orbit be negative?

No, the Circular Orbital Radius Given Time Period of Circular Orbit, measured in Length cannot be negative.

Which unit is used to measure Circular Orbital Radius Given Time Period of Circular Orbit?

Circular Orbital Radius Given Time Period of Circular Orbit is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Circular Orbital Radius Given Time Period of Circular Orbit can be measured.

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