Elliptical Orbit Time Period given Angular Momentum and Eccentricity Calculator

✖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.ⓘ Angular Momentum of Elliptic Orbit [h_e]			+10% -10%
✖Eccentricity of Elliptical Orbit is a measure of how stretched or elongated the orbit's shape is.ⓘ Eccentricity of Elliptical Orbit [e_e]			+10% -10%

✖The time period of Elliptic Orbit is the amount of time a given astronomical object takes to complete one orbit around another object.ⓘ Elliptical Orbit Time Period given Angular Momentum and Eccentricity [T_e]

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Elliptical Orbit Time Period given Angular Momentum and Eccentricity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period of Elliptic Orbit = (2*pi)/[GM.Earth]^2*(Angular Momentum of Elliptic Orbit/sqrt(1-Eccentricity of Elliptical Orbit^2))^3
T_e = (2*pi)/[GM.Earth]^2*(h_e/sqrt(1-e_e^2))^3
This formula uses 2 Constants, 1 Functions, 3 Variables

Constants Used

[GM.Earth] - Earth’s Geocentric Gravitational Constant Value Taken As 3.986004418E+14
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Time Period of Elliptic Orbit - (Measured in Second) - The time period of Elliptic Orbit is the amount of time a given astronomical object takes to complete one orbit around another object.
Angular Momentum of Elliptic Orbit - (Measured in Squaer Meter per Second) - 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.
Eccentricity of Elliptical Orbit - Eccentricity of Elliptical Orbit is a measure of how stretched or elongated the orbit's shape is.

STEP 1: Convert Input(s) to Base Unit

Angular Momentum of Elliptic Orbit: 65750 Square Kilometer per Second --> 65750000000 Squaer Meter per Second (Check conversion here)
Eccentricity of Elliptical Orbit: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_e = (2*pi)/[GM.Earth]^2*(h_e/sqrt(1-e_e^2))^3 --> (2*pi)/[GM.Earth]^2*(65750000000/sqrt(1-0.6^2))^3

Evaluating ... ...

T_e = 21954.4027705855

STEP 3: Convert Result to Output's Unit

21954.4027705855 Second --> No Conversion Required

FINAL ANSWER

21954.4027705855 ≈ 21954.4 Second <-- Time Period of Elliptic Orbit

(Calculation completed in 00.019 seconds)

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Created by Harsh Raj

Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< Elliptical Orbit Parameters Calculators

Eccentricity of Elliptical Orbit given Apogee and Perigee

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

Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity

LaTeX Go Apogee Radius in Elliptic Orbit = Angular Momentum of Elliptic Orbit^2/([GM.Earth]*(1-Eccentricity of Elliptical Orbit))

Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii

LaTeX Go Semi Major Axis of Elliptic Orbit = (Apogee Radius in Elliptic Orbit+Perigee Radius in Elliptic Orbit)/2

Angular Momentum in Elliptic Orbit Given Apogee Radius and Apogee Velocity

LaTeX Go Angular Momentum of Elliptic Orbit = Apogee Radius in Elliptic Orbit*Velocity of Satellite at Apogee

Elliptical Orbit Time Period given Angular Momentum and Eccentricity Formula

LaTeX Go

Time Period of Elliptic Orbit = (2*pi)/[GM.Earth]^2*(Angular Momentum of Elliptic Orbit/sqrt(1-Eccentricity of Elliptical Orbit^2))^3
T_e = (2*pi)/[GM.Earth]^2*(h_e/sqrt(1-e_e^2))^3

What is Elliptical Orbit Time Period ?

The time period of an elliptical orbit refers to the time it takes for an object to complete one full revolution around the central body along its elliptical path. In other words, it is the duration between successive passages of the orbiting object through a specific point in its orbit, such as the periapsis (closest point to the central body) or the apoapsis (farthest point from the central body).

How to Calculate Elliptical Orbit Time Period given Angular Momentum and Eccentricity?

Elliptical Orbit Time Period given Angular Momentum and Eccentricity calculator uses Time Period of Elliptic Orbit = (2*pi)/[GM.Earth]^2*(Angular Momentum of Elliptic Orbit/sqrt(1-Eccentricity of Elliptical Orbit^2))^3 to calculate the Time Period of Elliptic Orbit, Elliptical Orbit Time Period given Angular Momentum and Eccentricity formula is defined as a measure of the time taken by an object to complete one orbit around a celestial body in an elliptical path, influenced by the angular momentum and eccentricity of the orbit. Time Period of Elliptic Orbit is denoted by T_e symbol.

How to calculate Elliptical Orbit Time Period given Angular Momentum and Eccentricity using this online calculator? To use this online calculator for Elliptical Orbit Time Period given Angular Momentum and Eccentricity, enter Angular Momentum of Elliptic Orbit (h_e) & Eccentricity of Elliptical Orbit (e_e) and hit the calculate button. Here is how the Elliptical Orbit Time Period given Angular Momentum and Eccentricity calculation can be explained with given input values -> 21954.4 = (2*pi)/[GM.Earth]^2*(65750000000/sqrt(1-0.6^2))^3.

FAQ

What is Elliptical Orbit Time Period given Angular Momentum and Eccentricity?

Elliptical Orbit Time Period given Angular Momentum and Eccentricity formula is defined as a measure of the time taken by an object to complete one orbit around a celestial body in an elliptical path, influenced by the angular momentum and eccentricity of the orbit and is represented as T_e = (2*pi)/[GM.Earth]^2*(h_e/sqrt(1-e_e^2))^3 or Time Period of Elliptic Orbit = (2*pi)/[GM.Earth]^2*(Angular Momentum of Elliptic Orbit/sqrt(1-Eccentricity of Elliptical Orbit^2))^3. 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 & Eccentricity of Elliptical Orbit is a measure of how stretched or elongated the orbit's shape is.

How to calculate Elliptical Orbit Time Period given Angular Momentum and Eccentricity?

Elliptical Orbit Time Period given Angular Momentum and Eccentricity formula is defined as a measure of the time taken by an object to complete one orbit around a celestial body in an elliptical path, influenced by the angular momentum and eccentricity of the orbit is calculated using Time Period of Elliptic Orbit = (2*pi)/[GM.Earth]^2*(Angular Momentum of Elliptic Orbit/sqrt(1-Eccentricity of Elliptical Orbit^2))^3. To calculate Elliptical Orbit Time Period given Angular Momentum and Eccentricity, you need Angular Momentum of Elliptic Orbit (h_e) & Eccentricity of Elliptical Orbit (e_e). With our tool, you need to enter the respective value for Angular Momentum of Elliptic Orbit & Eccentricity of Elliptical Orbit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Time Period of Elliptic Orbit?

In this formula, Time Period of Elliptic Orbit uses Angular Momentum of Elliptic Orbit & Eccentricity of Elliptical Orbit. We can use 3 other way(s) to calculate the same, which is/are as follows -

Time Period of Elliptic Orbit = (2*pi*Semi Major Axis of Elliptic Orbit*Semi Minor Axis of Elliptic Orbit)/Angular Momentum of Elliptic Orbit
Time Period of Elliptic Orbit = 2*pi*Semi Major Axis of Elliptic Orbit^2*sqrt(1-Eccentricity of Elliptical Orbit^2)/Angular Momentum of Elliptic Orbit
Time Period of Elliptic Orbit = (2*pi)/[GM.Earth]^2*(Angular Momentum of Elliptic Orbit/sqrt(1-Eccentricity of Elliptical Orbit^2))^3

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