Time Period of Satellite Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Satellite Altitude)^3)/[g])
T = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+h)^3)/[g])
This formula uses 3 Constants, 1 Functions, 2 Variables
Constants Used
[Earth-R] - Earth mean radius Value Taken As 6371.0088
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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.
Satellite Altitude - (Measured in Meter) - Satellite Altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.
STEP 1: Convert Input(s) to Base Unit
Satellite Altitude: 18900000 Meter --> 18900000 Meter 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)/[g])
Evaluating ... ...
T = 40007.8482338525
STEP 3: Convert Result to Output's Unit
40007.8482338525 Second -->11.1132911760701 Hour (Check conversion ​here)
FINAL ANSWER
11.1132911760701 11.11329 Hour <-- Time period of Satellite
(Calculation completed in 00.014 seconds)

Credits

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has created this Calculator and 600+ more calculators!
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Fundamental Concepts in Gravitation Calculators

Time Period of Satellite
​ LaTeX ​ Go Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Satellite Altitude)^3)/[g])
Variation of Acceleration on Surface of Earth due to Gravity Effect
​ LaTeX ​ Go Variation of Acceleration due to Gravity = [g]*(1-([Earth-R]*Angular Velocity)/[g])
Universal Law of Gravitation
​ LaTeX ​ Go Gravitational Force = ([G.]*Mass 1*Mass 2)/Distance between Centers^2
Variation of Acceleration due to Gravity on Altitude
​ LaTeX ​ Go Variation of Acceleration due to Gravity = [g]*(1-(2*Altitude)/[Earth-R])

Time Period of Satellite Formula

​LaTeX ​Go
Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Satellite Altitude)^3)/[g])
T = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+h)^3)/[g])

What is satellite ?

Satellite is a human-made objects launched into orbit around Earth or other celestial bodies, they serve various purposes, including communication, weather monitoring, navigation, scientific research, and Earth observation.

How to Calculate Time Period of Satellite?

Time Period of Satellite calculator uses Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Satellite Altitude)^3)/[g]) to calculate the Time period of Satellite, Time Period of Satellite formula is defined as the time taken by a satellite to complete one orbit around the Earth, which is dependent on the radius of the Earth, the height of the satellite above the Earth's surface, and the gravitational constant. 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 Satellite Altitude (h) and hit the calculate button. Here is how the Time Period of Satellite calculation can be explained with given input values -> 0.066358 = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+18900000)^3)/[g]).

FAQ

What is Time Period of Satellite?
Time Period of Satellite formula is defined as the time taken by a satellite to complete one orbit around the Earth, which is dependent on the radius of the Earth, the height of the satellite above the Earth's surface, and the gravitational constant 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]+Satellite Altitude)^3)/[g]). Satellite Altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.
How to calculate Time Period of Satellite?
Time Period of Satellite formula is defined as the time taken by a satellite to complete one orbit around the Earth, which is dependent on the radius of the Earth, the height of the satellite above the Earth's surface, and the gravitational constant is calculated using Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Satellite Altitude)^3)/[g]). To calculate Time Period of Satellite, you need Satellite Altitude (h). With our tool, you need to enter the respective value for Satellite Altitude 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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