Time Period of Elliptical Orbit given Angular Momentum 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.ⓘ Time Period of Elliptical Orbit given Angular Momentum [T_e]

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Time Period of Elliptical Orbit given Angular Momentum 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 00.020 seconds)

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Created by Karavadiya Divykumar Rasikbhai

Hindustan Institute of Technology and Science (HITS), Chennai, Indian

Karavadiya Divykumar Rasikbhai has created this Calculator and 10+ more calculators!

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National Institute Of Technology (NIT), Hamirpur

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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

Time Period of Elliptical Orbit given Angular Momentum 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 orbit time?

Orbit time, also known as orbital period or revolution period, refers to the time it takes for an object to complete one full orbit around another object.The orbit time of Earth around the Sun is approximately 365.25 days, which defines our calendar year.

How to Calculate Time Period of Elliptical Orbit given Angular Momentum?

Time Period of Elliptical Orbit given Angular Momentum 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, Time Period of Elliptical Orbit given Angular Momentum formula is defined as a measure of the time taken by an object to complete one orbit around a celestial body, such as a planet, in an elliptical path, which is influenced by the angular momentum of the object and the gravitational force of the celestial body. Time Period of Elliptic Orbit is denoted by T_e symbol.

How to calculate Time Period of Elliptical Orbit given Angular Momentum using this online calculator? To use this online calculator for Time Period of Elliptical Orbit given Angular Momentum, enter Angular Momentum of Elliptic Orbit (h_e) & Eccentricity of Elliptical Orbit (e_e) and hit the calculate button. Here is how the Time Period of Elliptical Orbit given Angular Momentum 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 Time Period of Elliptical Orbit given Angular Momentum?

Time Period of Elliptical Orbit given Angular Momentum formula is defined as a measure of the time taken by an object to complete one orbit around a celestial body, such as a planet, in an elliptical path, which is influenced by the angular momentum of the object and the gravitational force of the celestial body 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 Time Period of Elliptical Orbit given Angular Momentum?

Time Period of Elliptical Orbit given Angular Momentum formula is defined as a measure of the time taken by an object to complete one orbit around a celestial body, such as a planet, in an elliptical path, which is influenced by the angular momentum of the object and the gravitational force of the celestial body 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 Time Period of Elliptical Orbit given Angular Momentum, 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)/[GM.Earth]^2*(Angular Momentum of Elliptic Orbit/sqrt(1-Eccentricity of Elliptical Orbit^2))^3
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

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