Time Period of Satellite Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Altitude)^3)/Acceleration due to Gravity)
T = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+h)^3)/g)
This formula uses 2 Constants, 1 Functions, 3 Variables
Constants Used
[Earth-R] - Earth mean radius Value Taken As 6371.0088
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 Satellite - (Measured in Second) - Time period of Satellite is the time taken by the satellite to make one full orbit around any object.
Altitude - (Measured in Meter) - Altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
STEP 1: Convert Input(s) to Base Unit
Altitude: 18900000 Meter --> 18900000 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+h)^3)/g) --> ((2*pi)/[Earth-R])*sqrt((([Earth-R]+18900000)^3)/9.8)
Evaluating ... ...
T = 40021.4200232509
STEP 3: Convert Result to Output's Unit
40021.4200232509 Second -->11.1170611175697 Hour (Check conversion here)
FINAL ANSWER
11.1170611175697 11.11706 Hour <-- Time period of Satellite
(Calculation completed in 00.004 seconds)

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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5 Gravitation Calculators

Time Period of Satellite
Go Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Altitude)^3)/Acceleration due to Gravity)
Gravitational Field Intensity due to Point Mass
Go Gravitational Field Intensity = ([G.]*Mass 3*Test Mass)/Distance between Two Bodies
Gravitational Potential Energy
Go Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers
Universal Law of Gravitation
Go Gravitational Force = ([G.]*Mass 1*Mass 2)/Distance between Centers^2
Gravitational Field Intensity
Go Gravitational Field Intensity = Force/Mass

Time Period of Satellite Formula

Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Altitude)^3)/Acceleration due to Gravity)
T = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+h)^3)/g)

How is time period of a satellite calculated ?

The time period of a satellite is calculated by the formula, T = 2π/Re[ (Re+h)3 /g ]1/2 where Re is the radius of the earth whose value is 6378 km , g is the acceleration due to gravity and h is the height.

How to Calculate Time Period of Satellite?

Time Period of Satellite calculator uses Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Altitude)^3)/Acceleration due to Gravity) to calculate the Time period of Satellite, Time period of satellite is the time it takes to make one full orbit around an object. The period of the Earth as it travels around the sun is one year. If you know the satellite’s speed and the radius at which it orbits, you can figure out its period. Time period of Satellite is denoted by T symbol.

How to calculate Time Period of Satellite using this online calculator? To use this online calculator for Time Period of Satellite, enter Altitude (h) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Time Period of Satellite calculation can be explained with given input values -> 0.003088 = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+18900000000)^3)/9.8).

FAQ

What is Time Period of Satellite?
Time period of satellite is the time it takes to make one full orbit around an object. The period of the Earth as it travels around the sun is one year. If you know the satellite’s speed and the radius at which it orbits, you can figure out its period and is represented as T = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+h)^3)/g) or Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Altitude)^3)/Acceleration due to Gravity). Altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side & Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
How to calculate Time Period of Satellite?
Time period of satellite is the time it takes to make one full orbit around an object. The period of the Earth as it travels around the sun is one year. If you know the satellite’s speed and the radius at which it orbits, you can figure out its period is calculated using Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Altitude)^3)/Acceleration due to Gravity). To calculate Time Period of Satellite, you need Altitude (h) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Altitude & Acceleration due to Gravity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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