FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity Formula

Fx Copy

LaTeX Copy

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

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

r_e,apogee - Apogee Radius in Elliptic Orbit?h_e - Angular Momentum of Elliptic Orbit?e_e - Eccentricity of Elliptical Orbit?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity Example

With values

With units

Only example

Here is how the Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity equation looks like with Values.

Here is how the Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity equation looks like with Units.

Here is how the Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity equation looks like.

27114.0097 = \frac{65750^{2}}{4E+14 \cdot (1 - 0.6)}

27114.0097km = \frac{{65750km²/s}^{2}}{4E+14m³/s² \cdot (1 - 0.6)}

27114.0097 = \frac{65750^{2}}{4E+14 \cdot (1 - 0.6)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Aerospace » Category

Orbital Mechanics » fx Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity

Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity Solution

Follow our step by step solution on how to calculate Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r e,apogee = \frac{{65750km²/s}^{2}}{[GM.Earth] \cdot (1 - 0.6)}

Next Step Substitute values of Constants

∴

r e,apogee = \frac{{65750km²/s}^{2}}{4E+14m³/s² \cdot (1 - 0.6)}

Next Step Convert Units

∴

r e,apogee = \frac{{6.6E+10m²/s}^{2}}{4E+14m³/s² \cdot (1 - 0.6)}

Next Step Prepare to Evaluate

∴

r e,apogee = \frac{{6.6E+10}^{2}}{4E+14 \cdot (1 - 0.6)}

Next Step Evaluate

∴

r e,apogee = 27114009.7115668m

Next Step Convert to Output's Unit

∴

r e,apogee = 27114.0097115668km

LAST Step Rounding Answer

∴

r e,apogee = 27114.0097km

Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity Formula Elements

Variables

Constants

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

Angular Momentum of Elliptic Orbit

Angular Momentum of Elliptic Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.

Symbol: h_e

Measurement: Specific Angular MomentumUnit: km²/s

Note: Value should be greater than 0.

Formulas to find Angular Momentum of Elliptic Orbit

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

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 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 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 Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity?

Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity evaluator uses Apogee Radius in Elliptic Orbit = Angular Momentum of Elliptic Orbit^2/([GM.Earth]*(1-Eccentricity of Elliptical Orbit)) to evaluate the Apogee Radius in Elliptic Orbit, Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity formula is defined as the maximum distance of an object in an elliptical orbit from the central body, which is a critical parameter in understanding the orbital path of celestial bodies or artificial satellites. Apogee Radius in Elliptic Orbit is denoted by r_e,apogee symbol.

How to evaluate Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity using this online evaluator? To use this online evaluator for Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity, enter Angular Momentum of Elliptic Orbit (h_e) & Eccentricity of Elliptical Orbit (e_e) and hit the calculate button.

FAQs on Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity

What is the formula to find Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity?

The formula of Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity is expressed as Apogee Radius in Elliptic Orbit = Angular Momentum of Elliptic Orbit^2/([GM.Earth]*(1-Eccentricity of Elliptical Orbit)). Here is an example- 27.11401 = 65750000000^2/([GM.Earth]*(1-0.6)).

How to calculate Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity?

With Angular Momentum of Elliptic Orbit (h_e) & Eccentricity of Elliptical Orbit (e_e) we can find Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity using the formula - Apogee Radius in Elliptic Orbit = Angular Momentum of Elliptic Orbit^2/([GM.Earth]*(1-Eccentricity of Elliptical Orbit)). This formula also uses Earth’s Geocentric Gravitational Constant .

Can the Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity be negative?

No, the Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity, measured in Length cannot be negative.

Which unit is used to measure Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity?

Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!