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Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii Formula

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

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

a_e - Semi Major Axis of Elliptic Orbit?r_e,apogee - Apogee Radius in Elliptic Orbit?r_e,perigee - Perigee Radius in Elliptic Orbit?

Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii Example

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Here is how the Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii equation looks like with Values.

Here is how the Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii equation looks like with Units.

Here is how the Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii equation looks like.

16944 = \frac{27110 + 6778}{2}

16944km = \frac{27110km + 6778km}{2}

16944 = \frac{27110 + 6778}{2}

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Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii Solution

Follow our step by step solution on how to calculate Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a e = \frac{27110km + 6778km}{2}

Next Step Convert Units

∴

a e = \frac{2.7E+7m + 6.8E+6m}{2}

Next Step Prepare to Evaluate

∴

a e = \frac{2.7E+7 + 6.8E+6}{2}

Next Step Evaluate

∴

a e = 16944000m

LAST Step Convert to Output's Unit

∴

a e = 16944km

Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii Formula Elements

Variables

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

Apogee Radius in Elliptic Orbit

Apogee Radius in Elliptic Orbit represents the maximum distance between an orbiting body and the object it orbits.

Symbol: r_e,apogee

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Apogee Radius in Elliptic Orbit

Perigee Radius in Elliptic Orbit

Perigee Radius in Elliptic Orbit refers to the distance between the center of the Earth and the point in a satellite's orbit that is closest to the Earth's surface.

Symbol: r_e,perigee

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Perigee Radius in Elliptic Orbit

Other formulas in Elliptical Orbit Parameters category

Go Eccentricity of Elliptical Orbit given Apogee and Perigee

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

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 Azimuth-Averaged Radius Given Apogee and Perigee Radii

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

How to Evaluate Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii?

Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii evaluator uses Semi Major Axis of Elliptic Orbit = (Apogee Radius in Elliptic Orbit+Perigee Radius in Elliptic Orbit)/2 to evaluate the Semi Major Axis of Elliptic Orbit, Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii formula is defined as a measure of the average distance of an object in an elliptical orbit around its central body, providing a crucial parameter in understanding the orbital characteristics of celestial bodies. Semi Major Axis of Elliptic Orbit is denoted by a_e symbol.

How to evaluate Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii using this online evaluator? To use this online evaluator for Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii, enter Apogee Radius in Elliptic Orbit (r_e,apogee) & Perigee Radius in Elliptic Orbit (r_e,perigee) and hit the calculate button.

FAQs on Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii

What is the formula to find Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii?

The formula of Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii is expressed as Semi Major Axis of Elliptic Orbit = (Apogee Radius in Elliptic Orbit+Perigee Radius in Elliptic Orbit)/2. Here is an example- 16.944 = (27110000+6778000)/2.

How to calculate Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii?

With Apogee Radius in Elliptic Orbit (r_e,apogee) & Perigee Radius in Elliptic Orbit (r_e,perigee) we can find Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii using the formula - Semi Major Axis of Elliptic Orbit = (Apogee Radius in Elliptic Orbit+Perigee Radius in Elliptic Orbit)/2.

Can the Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii be negative?

No, the Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii, measured in Length cannot be negative.

Which unit is used to measure Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii?

Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii can be measured.

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Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii Formula

Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii Example

Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii Solution

Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii Formula Elements

Other formulas in Elliptical Orbit Parameters category

How to Evaluate Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii?

FAQs on Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii

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