Turn Angle given Eccentricity Calculator

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The Two Body Problem

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Hyperbolic Orbits

Circular Orbits

Elliptical Orbits

Fundamental Parameters

Parabolic Orbits

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Hperbolic Orbit Parameters

Orbital Position as Function of Time

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

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✖Turn Angle measures the change in direction or turning angle as the object travels through the hyperbolic path.ⓘ Turn Angle given Eccentricity [δ]

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Formula

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Turn Angle given Eccentricity

Formula

`"δ" = 2*asin(1/"e"_{"h"})`

Example

`"96.63236°"=2*asin(1/"1.339")`

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Turn Angle given Eccentricity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turn Angle = 2*asin(1/Eccentricity of Hyperbolic Orbit)
δ = 2*asin(1/e_h)
This formula uses 2 Functions, 2 Variables

Functions Used

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., 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., asin(Number)

Variables Used

Turn Angle - (Measured in Radian) - Turn Angle measures the change in direction or turning angle as the object travels through the hyperbolic path.
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.

STEP 1: Convert Input(s) to Base Unit

Eccentricity of Hyperbolic Orbit: 1.339 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = 2*asin(1/e_h) --> 2*asin(1/1.339)

Evaluating ... ...

δ = 1.68655278519253

STEP 3: Convert Result to Output's Unit

1.68655278519253 Radian -->96.6323565175845 Degree (Check conversion here)

FINAL ANSWER

96.6323565175845 ≈ 96.63236 Degree <-- Turn Angle

(Calculation completed in 00.004 seconds)

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Created by Harsh Raj

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

Harsh Raj has created this Calculator and 50+ more calculators!

Verified by Akshat Nama

Indian Institute of Information Technology, Design And Manufacturing (IIITDM ), Jabalpur

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< 6 Hperbolic Orbit Parameters Calculators

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

Go Radial Position in Hyperbolic Orbit = Angular Momentum of Hyperbolic Orbit^2/([GM.Earth]*(1+Eccentricity of Hyperbolic Orbit*cos(True Anomaly)))

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

Go Semi Major Axis of Hyperbolic Orbit = Angular Momentum of Hyperbolic Orbit^2/([GM.Earth]*(Eccentricity of Hyperbolic Orbit^2-1))

Perigee Radius of Hyperbolic Orbit given Angular Momentum and Eccentricity

Go Perigee Radius = Angular Momentum of Hyperbolic Orbit^2/([GM.Earth]*(1+Eccentricity of Hyperbolic Orbit))

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

Go Aiming Radius = Semi Major Axis of Hyperbolic Orbit*sqrt(Eccentricity of Hyperbolic Orbit^2-1)

True Anomaly of Asymptote in Hyperbolic Orbit given Eccentricity

Go True Anomaly of Asymptote in Hyperbolic Orbit = acos(-1/Eccentricity of Hyperbolic Orbit)

Turn Angle given Eccentricity

Go Turn Angle = 2*asin(1/Eccentricity of Hyperbolic Orbit)

Turn Angle given Eccentricity Formula

Turn Angle = 2*asin(1/Eccentricity of Hyperbolic Orbit)
δ = 2*asin(1/e_h)

How does a rocket make enough thrust to escape earths gravity?

It uses a chemical reaction to turn its fuel into very large amounts of gas. The gas exhaust is channeled from the combustion chamber through a hole to a nozzle that directs the gas downward, away from the rocket. Through Newton's Third Law, the force of the escaping gas, carefully oriented, pushes the rocket in the opposite direction.

How to Calculate Turn Angle given Eccentricity?

Turn Angle given Eccentricity calculator uses Turn Angle = 2*asin(1/Eccentricity of Hyperbolic Orbit) to calculate 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 calculate Turn Angle given Eccentricity using this online calculator? To use this online calculator for Turn Angle given Eccentricity, enter Eccentricity of Hyperbolic Orbit (e_h) and hit the calculate button. Here is how the Turn Angle given Eccentricity calculation can be explained with given input values -> 5536.626 = 2*asin(1/1.339).

FAQ

What is Turn Angle given Eccentricity?

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 and is represented as δ = 2*asin(1/e_h) or Turn Angle = 2*asin(1/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.

How to calculate Turn Angle given Eccentricity?

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 is calculated using Turn Angle = 2*asin(1/Eccentricity of Hyperbolic Orbit). To calculate Turn Angle given Eccentricity, you need Eccentricity of Hyperbolic Orbit (e_h). With our tool, you need to enter the respective value for Eccentricity of Hyperbolic Orbit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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