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Turn Angle given Eccentricity Formula

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Turn Angle measures the change in direction or turning angle as the object travels through the hyperbolic path. Check FAQs

δ = 2 \cdot a \sin (\frac{1}{e h})

δ - Turn Angle?e_h - Eccentricity of Hyperbolic Orbit?

Turn Angle given Eccentricity Example

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Here is how the Turn Angle given Eccentricity equation looks like with Values.

Here is how the Turn Angle given Eccentricity equation looks like with Units.

Here is how the Turn Angle given Eccentricity equation looks like.

96.6324 = 2 \cdot a \sin (\frac{1}{1.339})

96.6324° = 2 \cdot a \sin (\frac{1}{1.339})

96.6324 = 2 \cdot a \sin (\frac{1}{1.339})

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Turn Angle given Eccentricity Solution

Follow our step by step solution on how to calculate Turn Angle given Eccentricity?

FIRST Step Consider the formula

δ = 2 \cdot a \sin (\frac{1}{e h})

Next Step Substitute values of Variables

∴

δ = 2 \cdot a \sin (\frac{1}{1.339})

Next Step Prepare to Evaluate

∴

δ = 2 \cdot a \sin (\frac{1}{1.339})

Next Step Evaluate

∴

δ = 1.68655278519253rad

Next Step Convert to Output's Unit

∴

δ = 96.6323565175845°

LAST Step Rounding Answer

∴

δ = 96.6324°

Turn Angle given Eccentricity Formula Elements

Variables

Functions

Turn Angle

Turn Angle measures the change in direction or turning angle as the object travels through the hyperbolic path.

Symbol: δ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Turn Angle

Eccentricity of Hyperbolic Orbit

Eccentricity of Hyperbolic Orbit describes how much the orbit differs from a perfect circle, and this value typically falls between 1 and infinity.

Symbol: e_h

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Eccentricity of Hyperbolic Orbit

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Hperbolic Orbit Parameters category

Go Radial Position in Hyperbolic Orbit given Angular Momentum, True Anomaly, and Eccentricity

r h = \frac{{h h}^{2}}{[GM.Earth] \cdot (1 + e h \cdot \cos (θ))}

Go Perigee Radius of Hyperbolic Orbit given Angular Momentum and Eccentricity

r perigee = \frac{{h h}^{2}}{[GM.Earth] \cdot (1 + e h)}

Go Semi-Major Axis of Hyperbolic Orbit given Angular Momentum and Eccentricity

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

Go Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity

Δ = a h \cdot \sqrt{{e h}^{2} - 1}

How to Evaluate Turn Angle given Eccentricity?

Turn Angle given Eccentricity evaluator uses Turn Angle = 2*asin(1/Eccentricity of Hyperbolic Orbit) to evaluate the Turn Angle, The Turn Angle given Eccentricity formula is defined as angular change in the direction of motion as the object travels along its hyperbolic path. The formula allows for the calculation of this turn angle based on the eccentricity of the hyperbolic orbit, which characterizes the shape and degree of elongation of the path. Turn Angle is denoted by δ symbol.

How to evaluate Turn Angle given Eccentricity using this online evaluator? To use this online evaluator for Turn Angle given Eccentricity, enter Eccentricity of Hyperbolic Orbit (e_h) and hit the calculate button.

FAQs on Turn Angle given Eccentricity

What is the formula to find Turn Angle given Eccentricity?

The formula of Turn Angle given Eccentricity is expressed as Turn Angle = 2*asin(1/Eccentricity of Hyperbolic Orbit). Here is an example- 5536.626 = 2*asin(1/1.339).

How to calculate Turn Angle given Eccentricity?

With Eccentricity of Hyperbolic Orbit (e_h) we can find Turn Angle given Eccentricity using the formula - Turn Angle = 2*asin(1/Eccentricity of Hyperbolic Orbit). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

Can the Turn Angle given Eccentricity be negative?

No, the Turn Angle given Eccentricity, measured in Angle cannot be negative.

Which unit is used to measure Turn Angle given Eccentricity?

Turn Angle given Eccentricity is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Turn Angle given Eccentricity can be measured.

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