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Eccentricity of Orbit Formula

GoEccentricity of Elliptical Orbit given Apogee and Perigee Formula

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Eccentricity of Elliptical Orbit is a measure of how stretched or elongated the orbit's shape is. Check FAQs

e e = \frac{d foci}{2 \cdot a e}

e_e - Eccentricity of Elliptical Orbit?d_foci - Distance Between Two Foci?a_e - Semi Major Axis of Elliptic Orbit?

Eccentricity of Orbit Example

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Here is how the Eccentricity of Orbit equation looks like with Values.

Here is how the Eccentricity of Orbit equation looks like with Units.

Here is how the Eccentricity of Orbit equation looks like.

0.6021 = \frac{20400}{2 \cdot 16940}

0.6021 = \frac{20400km}{2 \cdot 16940km}

0.6021 = \frac{20400}{2 \cdot 16940}

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Eccentricity of Orbit Solution

Follow our step by step solution on how to calculate Eccentricity of Orbit?

FIRST Step Consider the formula

e e = \frac{d foci}{2 \cdot a e}

Next Step Substitute values of Variables

∴

e e = \frac{20400km}{2 \cdot 16940km}

Next Step Convert Units

∴

e e = \frac{2E+7m}{2 \cdot 1.7E+7m}

Next Step Prepare to Evaluate

∴

e e = \frac{2E+7}{2 \cdot 1.7E+7}

Next Step Evaluate

∴

e e = 0.602125147579693

LAST Step Rounding Answer

∴

e e = 0.6021

Eccentricity of Orbit Formula Elements

Variables

Eccentricity of Elliptical Orbit

Eccentricity of Elliptical Orbit is a measure of how stretched or elongated the orbit's shape is.

Symbol: e_e

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Eccentricity of Elliptical Orbit

Distance Between Two Foci

Distance Between Two Foci is defined as the distance between the two focus, F1 and F2.

Symbol: d_foci

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Distance Between Two Foci

Semi Major Axis of Elliptic Orbit

Semi Major Axis of Elliptic Orbit is half of the major axis, which is the longest diameter of the ellipse describing the orbit.

Symbol: a_e

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Semi Major Axis of Elliptic Orbit

Other Formulas to find Eccentricity of Elliptical Orbit

Go Eccentricity of Elliptical Orbit given Apogee and Perigee

e e = \frac{r e,apogee - r e,perigee}{r e,apogee + r e,perigee}

Other formulas in Elliptical Orbit Parameters category

Go Angular Momentum in Elliptic Orbit Given Apogee Radius and Apogee Velocity

h e = r e,apogee \cdot v apogee

Go Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity

r e,apogee = \frac{{h e}^{2}}{[GM.Earth] \cdot (1 - e e)}

Go Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii

a e = \frac{r e,apogee + r e,perigee}{2}

Go Azimuth-Averaged Radius Given Apogee and Perigee Radii

r θ = \sqrt{r e,apogee \cdot r e,perigee}

How to Evaluate Eccentricity of Orbit?

Eccentricity of Orbit evaluator uses Eccentricity of Elliptical Orbit = Distance Between Two Foci/(2*Semi Major Axis of Elliptic Orbit) to evaluate the Eccentricity of Elliptical Orbit, Eccentricity of Orbit formula is defined as a measure of how elliptical an orbit is, with higher values indicating a more elongated shape and lower values indicating a more circular shape, used to describe the shape of orbits in astronomy and space exploration. Eccentricity of Elliptical Orbit is denoted by e_e symbol.

How to evaluate Eccentricity of Orbit using this online evaluator? To use this online evaluator for Eccentricity of Orbit, enter Distance Between Two Foci (d_foci) & Semi Major Axis of Elliptic Orbit (a_e) and hit the calculate button.

FAQs on Eccentricity of Orbit

What is the formula to find Eccentricity of Orbit?

The formula of Eccentricity of Orbit is expressed as Eccentricity of Elliptical Orbit = Distance Between Two Foci/(2*Semi Major Axis of Elliptic Orbit). Here is an example- 0.06464 = 20400000/(2*16940000).

How to calculate Eccentricity of Orbit?

With Distance Between Two Foci (d_foci) & Semi Major Axis of Elliptic Orbit (a_e) we can find Eccentricity of Orbit using the formula - Eccentricity of Elliptical Orbit = Distance Between Two Foci/(2*Semi Major Axis of Elliptic Orbit).

What are the other ways to Calculate Eccentricity of Elliptical Orbit?

Here are the different ways to Calculate Eccentricity of Elliptical Orbit-

Eccentricity of Elliptical Orbit=(Apogee Radius in Elliptic Orbit-Perigee Radius in Elliptic Orbit)/(Apogee Radius in Elliptic Orbit+Perigee Radius in Elliptic Orbit)

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