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Nominal Mean Motion Calculator

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✖The Semi major axis can be used to determine the size of satellite's orbit. It is half of the major axis.ⓘ Semi Major Axis [a_semi]

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✖Nominal Mean Motion refers to the average rate at which a satellite orbits around a celestial body, such as the Earth.ⓘ Nominal Mean Motion [n_o]

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Formula

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Nominal Mean Motion

Formula

n o = \sqrt{\frac{[GM.Earth]}{{a semi}^{3}}}

Example

0.045001 rad/s = \sqrt{\frac{[GM.Earth]}{{581.7 km}^{3}}}

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Nominal Mean Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nominal Mean Motion = sqrt([GM.Earth]/Semi Major Axis^3)
n_o = sqrt([GM.Earth]/a_semi^3)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[GM.Earth] - Earth’s Geocentric Gravitational Constant Value Taken As 3.986004418E+14

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

Nominal Mean Motion - (Measured in Radian per Second) - Nominal Mean Motion refers to the average rate at which a satellite orbits around a celestial body, such as the Earth.
Semi Major Axis - (Measured in Meter) - The Semi major axis can be used to determine the size of satellite's orbit. It is half of the major axis.

STEP 1: Convert Input(s) to Base Unit

Semi Major Axis: 581.7 Kilometer --> 581700 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_o = sqrt([GM.Earth]/a_semi^3) --> sqrt([GM.Earth]/581700^3)

Evaluating ... ...

n_o = 0.0450008059755109

STEP 3: Convert Result to Output's Unit

0.0450008059755109 Radian per Second --> No Conversion Required

FINAL ANSWER

0.0450008059755109 ≈ 0.045001 Radian per Second <-- Nominal Mean Motion

(Calculation completed in 00.004 seconds)

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< Satellite Orbital Characteristics Calculators

Mean Anomaly

Go Mean Anomaly = Eccentric Anomaly-Eccentricity*sin(Eccentric Anomaly)

Mean Motion of Satellite

Go Mean Motion = sqrt([GM.Earth]/Semi Major Axis^3)

Local Sidereal Time

Go Local Sidereal Time = Greenwich Sidereal Time+East Longitude

Anomalistic Period

Go Anomalistic Period = (2*pi)/Mean Motion

Nominal Mean Motion Formula

Nominal Mean Motion = sqrt([GM.Earth]/Semi Major Axis^3)
n_o = sqrt([GM.Earth]/a_semi^3)

What does orbital motion mean?

Orbital Motion refers to the movement of a satellite around a celestial body, such as the Earth, following a specific path known as an orbit.

How to Calculate Nominal Mean Motion?

Nominal Mean Motion calculator uses Nominal Mean Motion = sqrt([GM.Earth]/Semi Major Axis^3) to calculate the Nominal Mean Motion, The Nominal Mean Motion formula is defined as the angular speed required for a body to complete one orbit, assuming constant speed in a circular orbit which completes in the same time as the variable speed, elliptical orbit of the actual body. Nominal Mean Motion is denoted by n_o symbol.

How to calculate Nominal Mean Motion using this online calculator? To use this online calculator for Nominal Mean Motion, enter Semi Major Axis (a_semi) and hit the calculate button. Here is how the Nominal Mean Motion calculation can be explained with given input values -> 4.7E-6 = sqrt([GM.Earth]/581700^3).

FAQ

What is Nominal Mean Motion?

The Nominal Mean Motion formula is defined as the angular speed required for a body to complete one orbit, assuming constant speed in a circular orbit which completes in the same time as the variable speed, elliptical orbit of the actual body and is represented as n_o = sqrt([GM.Earth]/a_semi^3) or Nominal Mean Motion = sqrt([GM.Earth]/Semi Major Axis^3). The Semi major axis can be used to determine the size of satellite's orbit. It is half of the major axis.

How to calculate Nominal Mean Motion?

The Nominal Mean Motion formula is defined as the angular speed required for a body to complete one orbit, assuming constant speed in a circular orbit which completes in the same time as the variable speed, elliptical orbit of the actual body is calculated using Nominal Mean Motion = sqrt([GM.Earth]/Semi Major Axis^3). To calculate Nominal Mean Motion, you need Semi Major Axis (a_semi). With our tool, you need to enter the respective value for Semi Major Axis 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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