Mean Anomaly Calculator

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✖Eccentric anomaly refers to an angular parameter that describes the position of a satellite in its elliptical orbit relative to the central body (usually the Earth).ⓘ Eccentric Anomaly [E]			+10% -10%
✖Eccentricity refers to a characteristic of the orbit followed by a satellite around its primary body, typically the Earth.ⓘ Eccentricity [e]			+10% -10%

✖Mean Anomaly is the fraction of an elliptical orbit's period that has elapsed since the orbiting body passed periapsis.ⓘ Mean Anomaly [M]

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Formula

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Mean Anomaly

Formula

`"M" = "E"-"e"*sin("E")`

Example

`"31.95869°"="36°"-"0.12"*sin("36°")`

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Mean Anomaly Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Anomaly = Eccentric Anomaly-Eccentricity*sin(Eccentric Anomaly)
M = E-e*sin(E)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Mean Anomaly - (Measured in Radian) - Mean Anomaly is the fraction of an elliptical orbit's period that has elapsed since the orbiting body passed periapsis.
Eccentric Anomaly - (Measured in Radian) - Eccentric anomaly refers to an angular parameter that describes the position of a satellite in its elliptical orbit relative to the central body (usually the Earth).
Eccentricity - Eccentricity refers to a characteristic of the orbit followed by a satellite around its primary body, typically the Earth.

STEP 1: Convert Input(s) to Base Unit

Eccentric Anomaly: 36 Degree --> 0.62831853071784 Radian (Check conversion here)
Eccentricity: 0.12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = E-e*sin(E) --> 0.62831853071784-0.12*sin(0.62831853071784)

Evaluating ... ...

M = 0.557784300442755

STEP 3: Convert Result to Output's Unit

0.557784300442755 Radian -->31.958686294033 Degree (Check conversion here)

FINAL ANSWER

31.958686294033 ≈ 31.95869 Degree <-- Mean Anomaly

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 16 Satellite Orbital Characteristics Calculators

Position Vector

Go Position Vector = (Major Axis*(1-Eccentricity^2))/(1+Eccentricity*cos(True Anomaly))

Kepler's First Law

Go Eccentricity = sqrt((Semi Major Axis^2-Semi Minor Axis^2))/Semi Major Axis

Mean Anomaly

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

True Anomaly

Go True Anomaly = Mean Anomaly+(2*Eccentricity*sin(Mean Anomaly))

Universal Time

Go Universal Time = (1/24)*(Time in Hour+(Time in Minutes/60)+(Time in Seconds/3600))

Reference Time in Julian Centuries

Go Reference Time = (Julian Day-Julian Day Reference)/Julian Century

Julian Day

Go Julian Day = (Reference Time*Julian Century)+Julian Day Reference

Julian Century

Go Julian Century = (Julian Day-Julian Day Reference)/Reference Time

Nominal Mean Motion

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

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

Kepler's Third Law

Go Semi Major Axis = ([GM.Earth]/Mean Motion^2)^(1/3)

Range Vector

Go Range Vector = Satellite Radius Vector-[Earth-R]

Orbital Period of Satellite in Minutes

Go Orbital Period in Minutes = 2*pi/Mean Motion

Anomalistic Period

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

Universal Time Degree

Go Universal Time Degree = (Universal Time*360)

Mean Anomaly Formula

Mean Anomaly = Eccentric Anomaly-Eccentricity*sin(Eccentric Anomaly)
M = E-e*sin(E)

What are the true anomaly and the mean anomaly?

True anomaly is the angle, V, between lines drawn from the centre of mass (near the centre of the Sun, S), to a planet P, and to the perihelion point B, where the planet comes closest to the Sun. The mean anomaly is the angle.

How to Calculate Mean Anomaly?

Mean Anomaly calculator uses Mean Anomaly = Eccentric Anomaly-Eccentricity*sin(Eccentric Anomaly) to calculate the Mean Anomaly, The Mean Anomaly formula is defined as the fraction of an elliptical orbit's period that has elapsed since the orbiting body passed periapsis, expressed as an angle that can be used in calculating the position of that body in the classical two-body problem. Mean Anomaly is denoted by M symbol.

How to calculate Mean Anomaly using this online calculator? To use this online calculator for Mean Anomaly, enter Eccentric Anomaly (E) & Eccentricity (e) and hit the calculate button. Here is how the Mean Anomaly calculation can be explained with given input values -> 1831.098 = 0.62831853071784-0.12*sin(0.62831853071784).

FAQ

What is Mean Anomaly?

The Mean Anomaly formula is defined as the fraction of an elliptical orbit's period that has elapsed since the orbiting body passed periapsis, expressed as an angle that can be used in calculating the position of that body in the classical two-body problem and is represented as M = E-e*sin(E) or Mean Anomaly = Eccentric Anomaly-Eccentricity*sin(Eccentric Anomaly). Eccentric anomaly refers to an angular parameter that describes the position of a satellite in its elliptical orbit relative to the central body (usually the Earth) & Eccentricity refers to a characteristic of the orbit followed by a satellite around its primary body, typically the Earth.

How to calculate Mean Anomaly?

The Mean Anomaly formula is defined as the fraction of an elliptical orbit's period that has elapsed since the orbiting body passed periapsis, expressed as an angle that can be used in calculating the position of that body in the classical two-body problem is calculated using Mean Anomaly = Eccentric Anomaly-Eccentricity*sin(Eccentric Anomaly). To calculate Mean Anomaly, you need Eccentric Anomaly (E) & Eccentricity (e). With our tool, you need to enter the respective value for Eccentric Anomaly & Eccentricity 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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