Time Period of Satellite Calculator

✖Satellite Altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.ⓘ Satellite Altitude [h]

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✖Time period of Satellite is the time taken by the satellite to make one full orbit around any object.ⓘ Time Period of Satellite [T]

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Formula

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Time Period of Satellite

Formula

T = (\frac{2 \cdot π}{[Earth-R]}) \cdot \sqrt{\frac{{([Earth-R] + h)}^{3}}{[g]}}

Example

11.11329 h = (\frac{2 \cdot π}{[Earth-R]}) \cdot \sqrt{\frac{{([Earth-R] + 189e5 m)}^{3}}{[g]}}

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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 00.020 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< Fundamental Concepts in Gravitation Calculators

Time Period of Satellite

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

Go Variation of Acceleration due to Gravity = [g]*(1-([Earth-R]*Angular Velocity)/[g])

Universal Law of Gravitation

Go Gravitational Force = ([G.]*Mass 1*Mass 2)/Distance between Centers^2

Variation of Acceleration due to Gravity on Altitude

Go Variation of Acceleration due to Gravity = [g]*(1-(2*Altitude)/[Earth-R])

Time Period of Satellite Formula

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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