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Specific Energy of Elliptic Orbit given Semi Major Axis Formula

GoSpecific Energy of Elliptic Orbit given Angular Momentum Formula

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Specific Energy of Elliptical Orbit is the total orbital energy per unit mass of an orbiting body. It is the sum of the kinetic energy and the gravitational potential energy. Check FAQs

ε e = - \frac{[GM.Earth]}{2 \cdot a e}

ε_e - Specific Energy of Elliptical Orbit?a_e - Semi Major Axis of Elliptic Orbit?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Specific Energy of Elliptic Orbit given Semi Major Axis Example

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Here is how the Specific Energy of Elliptic Orbit given Semi Major Axis equation looks like with Values.

Here is how the Specific Energy of Elliptic Orbit given Semi Major Axis equation looks like with Units.

Here is how the Specific Energy of Elliptic Orbit given Semi Major Axis equation looks like.

-11765.0662 = - \frac{4E+14}{2 \cdot 16940}

-11765.0662kJ/kg = - \frac{4E+14m³/s²}{2 \cdot 16940km}

-11765.0662 = - \frac{4E+14}{2 \cdot 16940}

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Specific Energy of Elliptic Orbit given Semi Major Axis Solution

Follow our step by step solution on how to calculate Specific Energy of Elliptic Orbit given Semi Major Axis?

FIRST Step Consider the formula

ε e = - \frac{[GM.Earth]}{2 \cdot a e}

Next Step Substitute values of Variables

∴

ε e = - \frac{[GM.Earth]}{2 \cdot 16940km}

Next Step Substitute values of Constants

∴

ε e = - \frac{4E+14m³/s²}{2 \cdot 16940km}

Next Step Convert Units

∴

ε e = - \frac{4E+14m³/s²}{2 \cdot 1.7E+7m}

Next Step Prepare to Evaluate

∴

ε e = - \frac{4E+14}{2 \cdot 1.7E+7}

Next Step Evaluate

∴

ε e = -11765066.1688312J/kg

Next Step Convert to Output's Unit

∴

ε e = -11765.0661688312kJ/kg

LAST Step Rounding Answer

∴

ε e = -11765.0662kJ/kg

Specific Energy of Elliptic Orbit given Semi Major Axis Formula Elements

Variables

Constants

Specific Energy of Elliptical Orbit

Specific Energy of Elliptical Orbit is the total orbital energy per unit mass of an orbiting body. It is the sum of the kinetic energy and the gravitational potential energy.

Symbol: ε_e

Measurement: Specific EnergyUnit: kJ/kg

Note: Value can be positive or negative.

Formulas to find Specific Energy of Elliptical Orbit

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

Earth’s Geocentric Gravitational Constant

Earth’s Geocentric Gravitational Constant the gravitational parameter for the Earth as the central body.

Symbol: [GM.Earth]

Value: 3.986004418E+14 m³/s²

Other Formulas to find Specific Energy of Elliptical Orbit

Go Specific Energy of Elliptic Orbit given Angular Momentum

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

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 Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii

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

How to Evaluate Specific Energy of Elliptic Orbit given Semi Major Axis?

Specific Energy of Elliptic Orbit given Semi Major Axis evaluator uses Specific Energy of Elliptical Orbit = -[GM.Earth]/(2*Semi Major Axis of Elliptic Orbit) to evaluate the Specific Energy of Elliptical Orbit, Specific Energy of Elliptic Orbit given Semi Major Axis formula is defined as a measure of the total energy of an object in an elliptical orbit around a celestial body, which is a critical parameter in understanding the motion of objects in space. Specific Energy of Elliptical Orbit is denoted by ε_e symbol.

How to evaluate Specific Energy of Elliptic Orbit given Semi Major Axis using this online evaluator? To use this online evaluator for Specific Energy of Elliptic Orbit given Semi Major Axis, enter Semi Major Axis of Elliptic Orbit (a_e) and hit the calculate button.

FAQs on Specific Energy of Elliptic Orbit given Semi Major Axis

What is the formula to find Specific Energy of Elliptic Orbit given Semi Major Axis?

The formula of Specific Energy of Elliptic Orbit given Semi Major Axis is expressed as Specific Energy of Elliptical Orbit = -[GM.Earth]/(2*Semi Major Axis of Elliptic Orbit). Here is an example- -11.765066 = -[GM.Earth]/(2*16940000).

How to calculate Specific Energy of Elliptic Orbit given Semi Major Axis?

With Semi Major Axis of Elliptic Orbit (a_e) we can find Specific Energy of Elliptic Orbit given Semi Major Axis using the formula - Specific Energy of Elliptical Orbit = -[GM.Earth]/(2*Semi Major Axis of Elliptic Orbit). This formula also uses Earth’s Geocentric Gravitational Constant .

What are the other ways to Calculate Specific Energy of Elliptical Orbit?

Here are the different ways to Calculate Specific Energy of Elliptical Orbit-

Specific Energy of Elliptical Orbit=-1/2*[GM.Earth]^2/Angular Momentum of Elliptic Orbit^2*(1-Eccentricity of Elliptical Orbit^2)

Can the Specific Energy of Elliptic Orbit given Semi Major Axis be negative?

Yes, the Specific Energy of Elliptic Orbit given Semi Major Axis, measured in Specific Energy can be negative.

Which unit is used to measure Specific Energy of Elliptic Orbit given Semi Major Axis?

Specific Energy of Elliptic Orbit given Semi Major Axis is usually measured using the Kilojoule per Kilogram[kJ/kg] for Specific Energy. Joule per Kilogram[kJ/kg], Joule per Gram[kJ/kg], Joule per Centigram[kJ/kg] are the few other units in which Specific Energy of Elliptic Orbit given Semi Major Axis can be measured.

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