Time Period of Circular Orbit Calculator

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

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✖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 Circular Orbit [T_or]

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Time Period of Circular Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Orbit Radius - (Measured in Meter) - The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.

STEP 1: Convert Input(s) to Base Unit

Orbit Radius: 10859 Kilometer --> 10859000 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_or = (2*pi*r^(3/2))/(sqrt([GM.Earth])) --> (2*pi*10859000^(3/2))/(sqrt([GM.Earth]))

Evaluating ... ...

T_or = 11261.4867499914

STEP 3: Convert Result to Output's Unit

11261.4867499914 Second --> No Conversion Required

FINAL ANSWER

11261.4867499914 ≈ 11261.49 Second <-- Time Period of Orbit

(Calculation completed in 00.004 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

Time Period of Circular Orbit Formula

LaTeX Go

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

What is the shortest orbit time ?

The planet with the shortest orbital period (year) is Mercury. The innermost planet in our Solar System completes its elliptical orbit around the Sun once every 87 (Earth) days 21 hours.

How to Calculate Time Period of Circular Orbit?

Time Period of Circular Orbit calculator uses Time Period of Orbit = (2*pi*Orbit Radius^(3/2))/(sqrt([GM.Earth])) to calculate the Time Period of Orbit, Time Period of Circular Orbit formula is defined as a measure of the time taken by an object to complete one full orbit around a celestial body, such as a planet, in a circular path, which is influenced by the gravitational force of the central body and the radius of the orbit. Time Period of Orbit is denoted by T_or symbol.

How to calculate Time Period of Circular Orbit using this online calculator? To use this online calculator for Time Period of Circular Orbit, enter Orbit Radius (r) and hit the calculate button. Here is how the Time Period of Circular Orbit calculation can be explained with given input values -> 11261.49 = (2*pi*10859000^(3/2))/(sqrt([GM.Earth])).

FAQ

What is Time Period of Circular Orbit?

Time Period of Circular Orbit formula is defined as a measure of the time taken by an object to complete one full orbit around a celestial body, such as a planet, in a circular path, which is influenced by the gravitational force of the central body and the radius of the orbit and is represented as T_or = (2*pi*r^(3/2))/(sqrt([GM.Earth])) or Time Period of Orbit = (2*pi*Orbit Radius^(3/2))/(sqrt([GM.Earth])). The Orbit Radius is defined as the distance from the center of the orbit to the orbit's path.

How to calculate Time Period of Circular Orbit?

Time Period of Circular Orbit formula is defined as a measure of the time taken by an object to complete one full orbit around a celestial body, such as a planet, in a circular path, which is influenced by the gravitational force of the central body and the radius of the orbit is calculated using Time Period of Orbit = (2*pi*Orbit Radius^(3/2))/(sqrt([GM.Earth])). To calculate Time Period of Circular Orbit, you need Orbit Radius (r). With our tool, you need to enter the respective value for Orbit Radius 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 Time Period of Orbit?

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

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

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