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Time Period for One Complete Revolution given Angular Momentum Formula

GoElliptical Orbit Time Period given Angular Momentum and Eccentricity Formula

GoTime Period of Elliptical Orbit given Semi-Major Axis 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 = \frac{2 \cdot π \cdot a e \cdot b e}{h e}

T_e - Time Period of Elliptic Orbit?a_e - Semi Major Axis of Elliptic Orbit?b_e - Semi Minor Axis of Elliptic Orbit?h_e - Angular Momentum of Elliptic Orbit?π - Archimedes' constant?

Time Period for One Complete Revolution given Angular Momentum Example

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Here is how the Time Period for One Complete Revolution given Angular Momentum equation looks like with Values.

Here is how the Time Period for One Complete Revolution given Angular Momentum equation looks like with Units.

Here is how the Time Period for One Complete Revolution given Angular Momentum equation looks like.

21230.7733 = \frac{2 \cdot 3.1416 \cdot 16940 \cdot 13115}{65750}

21230.7733s = \frac{2 \cdot 3.1416 \cdot 16940km \cdot 13115km}{65750km²/s}

21230.7733 = \frac{2 \cdot 3.1416 \cdot 16940 \cdot 13115}{65750}

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Time Period for One Complete Revolution given Angular Momentum Solution

Follow our step by step solution on how to calculate Time Period for One Complete Revolution given Angular Momentum?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T e = \frac{2 \cdot π \cdot 16940km \cdot 13115km}{65750km²/s}

Next Step Substitute values of Constants

∴

T e = \frac{2 \cdot 3.1416 \cdot 16940km \cdot 13115km}{65750km²/s}

Next Step Convert Units

∴

T e = \frac{2 \cdot 3.1416 \cdot 1.7E+7m \cdot 1.3E+7m}{6.6E+10m²/s}

Next Step Prepare to Evaluate

∴

T e = \frac{2 \cdot 3.1416 \cdot 1.7E+7 \cdot 1.3E+7}{6.6E+10}

Next Step Evaluate

∴

T e = 21230.773256943s

LAST Step Rounding Answer

∴

T e = 21230.7733s

Time Period for One Complete Revolution given Angular Momentum Formula Elements

Variables

Constants

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

Semi Minor Axis of Elliptic Orbit

Semi Minor Axis of Elliptic Orbit is half of the minor axis, which is the shortest diameter of the ellipse describing the orbit.

Symbol: b_e

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Semi Minor Axis of 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

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

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 of Elliptical Orbit given Semi-Major Axis

T e = 2 \cdot π \cdot {a e}^{2} \cdot \frac{\sqrt{1 - {e e}^{2}}}{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 for One Complete Revolution given Angular Momentum?

Time Period for One Complete Revolution given Angular Momentum evaluator uses Time Period of Elliptic Orbit = (2*pi*Semi Major Axis of Elliptic Orbit*Semi Minor Axis of Elliptic Orbit)/Angular Momentum of Elliptic Orbit to evaluate the Time Period of Elliptic Orbit, Time Period for One Complete Revolution given Angular Momentum formula is defined as a measure of the time taken by an object to complete one full orbit around a central body in an elliptical orbit, which is dependent on the angular momentum of the object. Time Period of Elliptic Orbit is denoted by T_e symbol.

How to evaluate Time Period for One Complete Revolution given Angular Momentum using this online evaluator? To use this online evaluator for Time Period for One Complete Revolution given Angular Momentum, enter Semi Major Axis of Elliptic Orbit (a_e), Semi Minor Axis of Elliptic Orbit (b_e) & Angular Momentum of Elliptic Orbit (h_e) and hit the calculate button.

FAQs on Time Period for One Complete Revolution given Angular Momentum

What is the formula to find Time Period for One Complete Revolution given Angular Momentum?

The formula of Time Period for One Complete Revolution given Angular Momentum is expressed as Time Period of Elliptic Orbit = (2*pi*Semi Major Axis of Elliptic Orbit*Semi Minor Axis of Elliptic Orbit)/Angular Momentum of Elliptic Orbit. Here is an example- 15346.38 = (2*pi*16940000*13115000)/65750000000.

How to calculate Time Period for One Complete Revolution given Angular Momentum?

With Semi Major Axis of Elliptic Orbit (a_e), Semi Minor Axis of Elliptic Orbit (b_e) & Angular Momentum of Elliptic Orbit (h_e) we can find Time Period for One Complete Revolution given Angular Momentum using the formula - Time Period of Elliptic Orbit = (2*pi*Semi Major Axis of Elliptic Orbit*Semi Minor Axis of Elliptic Orbit)/Angular Momentum of Elliptic Orbit. This formula also uses Archimedes' constant .

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^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

Can the Time Period for One Complete Revolution given Angular Momentum be negative?

No, the Time Period for One Complete Revolution given Angular Momentum, measured in Time cannot be negative.

Which unit is used to measure Time Period for One Complete Revolution given Angular Momentum?

Time Period for One Complete Revolution given Angular Momentum is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Period for One Complete Revolution given Angular Momentum can be measured.

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Time Period for One Complete Revolution given Angular Momentum Formula

​GoElliptical Orbit Time Period given Angular Momentum and Eccentricity Formula

​GoTime Period of Elliptical Orbit given Semi-Major Axis Formula

Time Period for One Complete Revolution given Angular Momentum Example

Time Period for One Complete Revolution given Angular Momentum Solution

Time Period for One Complete Revolution given Angular Momentum Formula Elements

Other Formulas to find Time Period of Elliptic Orbit

Other formulas in Elliptical Orbit Parameters category

How to Evaluate Time Period for One Complete Revolution given Angular Momentum?

FAQs on Time Period for One Complete Revolution given Angular Momentum

Variable Name

GoElliptical Orbit Time Period given Angular Momentum and Eccentricity Formula

GoTime Period of Elliptical Orbit given Semi-Major Axis Formula