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Time Period of Elliptical Orbit given Semi-Major Axis Formula

GoElliptical Orbit Time Period given Angular Momentum and Eccentricity Formula

GoTime Period for One Complete Revolution given Angular Momentum Formula

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The time period of Elliptic Orbit is the amount of time a given astronomical object takes to complete one orbit around another object. Check FAQs

T e = 2 \cdot π \cdot {a e}^{2} \cdot \frac{\sqrt{1 - {e e}^{2}}}{h e}

T_e - Time Period of Elliptic Orbit?a_e - Semi Major Axis of Elliptic Orbit?e_e - Eccentricity of Elliptical Orbit?h_e - Angular Momentum of Elliptic Orbit?π - Archimedes' constant?

Time Period of Elliptical Orbit given Semi-Major Axis Example

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Here is how the Time Period of Elliptical Orbit given Semi-Major Axis equation looks like with Values.

Here is how the Time Period of Elliptical Orbit given Semi-Major Axis equation looks like with Units.

Here is how the Time Period of Elliptical Orbit given Semi-Major Axis equation looks like.

21938.1959 = 2 \cdot 3.1416 \cdot 16940^{2} \cdot \frac{\sqrt{1 - {0.6}^{2}}}{65750}

21938.1959s = 2 \cdot 3.1416 \cdot {16940km}^{2} \cdot \frac{\sqrt{1 - {0.6}^{2}}}{65750km²/s}

21938.1959 = 2 \cdot 3.1416 \cdot 16940^{2} \cdot \frac{\sqrt{1 - {0.6}^{2}}}{65750}

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Time Period of Elliptical Orbit given Semi-Major Axis Solution

Follow our step by step solution on how to calculate Time Period of Elliptical Orbit given Semi-Major Axis?

FIRST Step Consider the formula

T e = 2 \cdot π \cdot {a e}^{2} \cdot \frac{\sqrt{1 - {e e}^{2}}}{h e}

Next Step Substitute values of Variables

∴

T e = 2 \cdot π \cdot {16940km}^{2} \cdot \frac{\sqrt{1 - {0.6}^{2}}}{65750km²/s}

Next Step Substitute values of Constants

∴

T e = 2 \cdot 3.1416 \cdot {16940km}^{2} \cdot \frac{\sqrt{1 - {0.6}^{2}}}{65750km²/s}

Next Step Convert Units

∴

T e = 2 \cdot 3.1416 \cdot {1.7E+7m}^{2} \cdot \frac{\sqrt{1 - {0.6}^{2}}}{6.6E+10m²/s}

Next Step Prepare to Evaluate

∴

T e = 2 \cdot 3.1416 \cdot {1.7E+7}^{2} \cdot \frac{\sqrt{1 - {0.6}^{2}}}{6.6E+10}

Next Step Evaluate

∴

T e = 21938.1958961565s

LAST Step Rounding Answer

∴

T e = 21938.1959s

Time Period of Elliptical Orbit given Semi-Major Axis Formula Elements

Variables

Constants

Functions

Time Period of Elliptic Orbit

The time period of Elliptic Orbit is the amount of time a given astronomical object takes to complete one orbit around another object.

Symbol: T_e

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period of Elliptic 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

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

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Time Period of Elliptic Orbit

Go Elliptical Orbit Time Period given Angular Momentum and Eccentricity

T e = \frac{2 \cdot π}{{[GM.Earth]}^{2}} \cdot {(\frac{h e}{\sqrt{1 - {e e}^{2}}})}^{3}

Go Time Period for One Complete Revolution given Angular Momentum

T e = \frac{2 \cdot π \cdot a e \cdot b e}{h e}

Go Time Period of Elliptical Orbit given Angular Momentum

T e = \frac{2 \cdot π}{{[GM.Earth]}^{2}} \cdot {(\frac{h e}{\sqrt{1 - {e e}^{2}}})}^{3}

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 Time Period of Elliptical Orbit given Semi-Major Axis?

Time Period of Elliptical Orbit given Semi-Major Axis evaluator uses 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 to evaluate the Time Period of Elliptic Orbit, Time Period of Elliptical Orbit given Semi-Major Axis formula is defined as a measure of the time taken by an object to complete one full orbit around a celestial body in an elliptical path, providing valuable insights into the orbital characteristics of celestial bodies in our solar system. Time Period of Elliptic Orbit is denoted by T_e symbol.

How to evaluate Time Period of Elliptical Orbit given Semi-Major Axis using this online evaluator? To use this online evaluator for Time Period of Elliptical Orbit given Semi-Major Axis, enter Semi Major Axis of Elliptic Orbit (a_e), Eccentricity of Elliptical Orbit (e_e) & Angular Momentum of Elliptic Orbit (h_e) and hit the calculate button.

FAQs on Time Period of Elliptical Orbit given Semi-Major Axis

What is the formula to find Time Period of Elliptical Orbit given Semi-Major Axis?

The formula of Time Period of Elliptical Orbit given Semi-Major Axis is expressed as 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. Here is an example- 21938.2 = 2*pi*16940000^2*sqrt(1-0.6^2)/65750000000.

How to calculate Time Period of Elliptical Orbit given Semi-Major Axis?

With Semi Major Axis of Elliptic Orbit (a_e), Eccentricity of Elliptical Orbit (e_e) & Angular Momentum of Elliptic Orbit (h_e) we can find Time Period of Elliptical Orbit given Semi-Major Axis using the formula - 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. This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Time Period of Elliptic Orbit?

Here are the different ways to Calculate Time Period 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
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)/[GM.Earth]^2*(Angular Momentum of Elliptic Orbit/sqrt(1-Eccentricity of Elliptical Orbit^2))^3

Can the Time Period of Elliptical Orbit given Semi-Major Axis be negative?

No, the Time Period of Elliptical Orbit given Semi-Major Axis, measured in Time cannot be negative.

Which unit is used to measure Time Period of Elliptical Orbit given Semi-Major Axis?

Time Period of Elliptical Orbit given Semi-Major Axis is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Period of Elliptical Orbit given Semi-Major Axis can be measured.

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Time Period of Elliptical Orbit given Semi-Major Axis Formula

​GoElliptical Orbit Time Period given Angular Momentum and Eccentricity Formula

​GoTime Period for One Complete Revolution given Angular Momentum Formula

Time Period of Elliptical Orbit given Semi-Major Axis Example

Time Period of Elliptical Orbit given Semi-Major Axis Solution

Time Period of Elliptical Orbit given Semi-Major Axis Formula Elements

Other Formulas to find Time Period of Elliptic Orbit

Other formulas in Elliptical Orbit Parameters category

How to Evaluate Time Period of Elliptical Orbit given Semi-Major Axis?

FAQs on Time Period of Elliptical Orbit given Semi-Major Axis

Variable Name

GoElliptical Orbit Time Period given Angular Momentum and Eccentricity Formula

GoTime Period for One Complete Revolution given Angular Momentum Formula