Circular Orbital Radius Given Time Period of Circular Orbit Calculator

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

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✖The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.ⓘ Circular Orbital Radius Given Time Period of Circular Orbit [r]

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Circular Orbital Radius Given Time Period of Circular Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3)
r = ((T_or*sqrt([GM.Earth]))/(2*pi))^(2/3)
This formula uses 2 Constants, 1 Functions, 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

Functions Used

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., sqrt(Number)

Variables Used

Orbit Radius - (Measured in Meter) - The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.
Time Period of Orbit - (Measured in Second) - The Time Period of Orbit is the amount of time a given astronomical object takes to complete one orbit around another object.

STEP 1: Convert Input(s) to Base Unit

Time Period of Orbit: 11262 Second --> 11262 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = ((T_or*sqrt([GM.Earth]))/(2*pi))^(2/3) --> ((11262*sqrt([GM.Earth]))/(2*pi))^(2/3)

Evaluating ... ...

r = 10859329.9350925

STEP 3: Convert Result to Output's Unit

10859329.9350925 Meter -->10859.3299350925 Kilometer (Check conversion here)

FINAL ANSWER

10859.3299350925 ≈ 10859.33 Kilometer <-- Orbit Radius

(Calculation completed in 00.005 seconds)

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Created by Karavadiya Divykumar Rasikbhai

Hindustan Institute of Technology and Science (HITS), Chennai, Indian

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< Circular Orbit Parameters Calculators

Orbital Period

LaTeX Go Time Period of Orbit = 2*pi*sqrt((Orbit Radius^3)/([G.]*Central Body Mass))

Velocity of Circular Orbit

LaTeX Go Velocity of Circular Orbit = sqrt([GM.Earth]/Orbit Radius)

Circular Orbital Radius

LaTeX Go Orbit Radius = Angular Momentum of Circular Orbit^2/[GM.Earth]

Circular Orbital Radius Given Velocity of Circular Orbit

LaTeX Go Orbit Radius = [GM.Earth]/Velocity of Circular Orbit^2

Circular Orbital Radius Given Time Period of Circular Orbit Formula

LaTeX Go

Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3)
r = ((T_or*sqrt([GM.Earth]))/(2*pi))^(2/3)

What is circular orbital radius ?

circular orbits the orbital radius is the distance from an object in space to the body which it is orbiting.

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

Circular Orbital Radius Given Time Period of Circular Orbit calculator uses Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3) to calculate 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 calculate Circular Orbital Radius Given Time Period of Circular Orbit using this online calculator? To use this online calculator for Circular Orbital Radius Given Time Period of Circular Orbit, enter Time Period of Orbit (T_or) and hit the calculate button. Here is how the Circular Orbital Radius Given Time Period of Circular Orbit calculation can be explained with given input values -> 8.645418 = ((11262*sqrt([GM.Earth]))/(2*pi))^(2/3).

FAQ

What is Circular Orbital Radius Given Time Period of Circular Orbit?

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 and is represented as r = ((T_or*sqrt([GM.Earth]))/(2*pi))^(2/3) or Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3). The Time Period of Orbit is the amount of time a given astronomical object takes to complete one orbit around another object.

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

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 is calculated using Orbit Radius = ((Time Period of Orbit*sqrt([GM.Earth]))/(2*pi))^(2/3). To calculate Circular Orbital Radius Given Time Period of Circular Orbit, you need Time Period of Orbit (T_or). With our tool, you need to enter the respective value for Time Period of Orbit 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 Orbit Radius?

In this formula, Orbit Radius uses Time Period of Orbit. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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