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Time Period of Satellite Formula

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Time period of Satellite is the time taken by the satellite to make one full orbit around any object. Check FAQs

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

T - Time period of Satellite?h - Satellite Altitude?[Earth-R] - Earth mean radius?[Earth-R] - Earth mean radius?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Time Period of Satellite Example

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Here is how the Time Period of Satellite equation looks like with Values.

Here is how the Time Period of Satellite equation looks like with Units.

Here is how the Time Period of Satellite equation looks like.

11.1133 = (\frac{2 \cdot 3.1416}{6371.0088}) \cdot \sqrt{\frac{{(6371.0088 + 1.9E+7)}^{3}}{9.8066}}

11.1133h = (\frac{2 \cdot 3.1416}{6371.0088km}) \cdot \sqrt{\frac{{(6371.0088km + 1.9E+7m)}^{3}}{9.8066m/s²}}

11.1133 = (\frac{2 \cdot 3.1416}{6371.0088}) \cdot \sqrt{\frac{{(6371.0088 + 1.9E+7)}^{3}}{9.8066}}

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Time Period of Satellite Solution

Follow our step by step solution on how to calculate Time Period of Satellite?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = (\frac{2 \cdot π}{[Earth-R]}) \cdot \sqrt{\frac{{([Earth-R] + 1.9E+7m)}^{3}}{[g]}}

Next Step Substitute values of Constants

∴

T = (\frac{2 \cdot 3.1416}{6371.0088km}) \cdot \sqrt{\frac{{(6371.0088km + 1.9E+7m)}^{3}}{9.8066m/s²}}

Next Step Prepare to Evaluate

∴

T = (\frac{2 \cdot 3.1416}{6371.0088}) \cdot \sqrt{\frac{{(6371.0088 + 1.9E+7)}^{3}}{9.8066}}

Next Step Evaluate

∴

T = 40007.8482338525s

Next Step Convert to Output's Unit

∴

T = 11.1132911760701h

LAST Step Rounding Answer

∴

T = 11.1133h

Time Period of Satellite Formula Elements

Variables

Constants

Functions

Time period of Satellite

Time period of Satellite is the time taken by the satellite to make one full orbit around any object.

Symbol: T

Measurement: TimeUnit: h

Note: Value can be positive or negative.

Formulas to find Time period of Satellite

Satellite Altitude

Satellite Altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Satellite Altitude

Earth mean radius

Earth mean radius represents the average distance from the Earth's center to any point on its surface, providing a single value to characterize the size of the Earth.

Symbol: [Earth-R]

Value: 6371.0088 km

Earth mean radius

Earth mean radius represents the average distance from the Earth's center to any point on its surface, providing a single value to characterize the size of the Earth.

Symbol: [Earth-R]

Value: 6371.0088 km

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other formulas in Fundamental Concepts in Gravitation category

Go Universal Law of Gravitation

F' = \frac{[G.] \cdot m 1 \cdot m 2}{{r c}^{2}}

Go Variation of Acceleration on Surface of Earth due to Gravity Effect

g v = [g] \cdot (1 - \frac{[Earth-R] \cdot ω}{[g]})

Go Variation of Acceleration due to Gravity on Altitude

g v = [g] \cdot (1 - \frac{2 \cdot h sealevel}{[Earth-R]})

Go Variation of Acceleration due to Gravity on Depth

g v = [g] \cdot (1 - \frac{D}{[Earth-R]})

How to Evaluate Time Period of Satellite?

Time Period of Satellite evaluator uses Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Satellite Altitude)^3)/[g]) to evaluate 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 evaluate Time Period of Satellite using this online evaluator? To use this online evaluator for Time Period of Satellite, enter Satellite Altitude (h) and hit the calculate button.

FAQs on Time Period of Satellite

What is the formula to find Time Period of Satellite?

The formula of Time Period of Satellite is expressed as Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Satellite Altitude)^3)/[g]). Here is an example- 0.066358 = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+18900000)^3)/[g]).

How to calculate Time Period of Satellite?

With Satellite Altitude (h) we can find Time Period of Satellite using the formula - Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Satellite Altitude)^3)/[g]). This formula also uses Earth mean radius, Earth mean radius, Gravitational acceleration on Earth, Archimedes' constant and Square Root (sqrt) function(s).

Can the Time Period of Satellite be negative?

Yes, the Time Period of Satellite, measured in Time can be negative.

Which unit is used to measure Time Period of Satellite?

Time Period of Satellite is usually measured using the Hour[h] for Time. Second[h], Millisecond[h], Microsecond[h] are the few other units in which Time Period of Satellite can be measured.

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