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

✖Semi Major Axis of Hyperbolic Orbit is a fundamental parameter that characterizes the size and shape of the hyperbolic trajectory. It represents half the length of the major axis of the orbit.ⓘ Semi Major Axis of Hyperbolic Orbit [a_h]			+10% -10%
✖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]			+10% -10%

✖Aiming Radius id distance between asymptote and a parallel line through focus of hyperbola.ⓘ Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity [Δ]

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

STEP 0: Pre-Calculation Summary

Formula Used

Aiming Radius = Semi Major Axis of Hyperbolic Orbit*sqrt(Eccentricity of Hyperbolic Orbit^2-1)
Δ = a_h*sqrt(e_h^2-1)
This formula uses 1 Functions, 3 Variables

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

Aiming Radius - (Measured in Meter) - Aiming Radius id distance between asymptote and a parallel line through focus of hyperbola.
Semi Major Axis of Hyperbolic Orbit - (Measured in Meter) - Semi Major Axis of Hyperbolic Orbit is a fundamental parameter that characterizes the size and shape of the hyperbolic trajectory. It represents half the length of the major axis of the orbit.
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

Semi Major Axis of Hyperbolic Orbit: 13658 Kilometer --> 13658000 Meter (Check conversion here)
Eccentricity of Hyperbolic Orbit: 1.339 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δ = a_h*sqrt(e_h^2-1) --> 13658000*sqrt(1.339^2-1)

Evaluating ... ...

Δ = 12161917.9291691

STEP 3: Convert Result to Output's Unit

12161917.9291691 Meter -->12161.9179291691 Kilometer (Check conversion here)

FINAL ANSWER

12161.9179291691 ≈ 12161.92 Kilometer <-- Aiming Radius

(Calculation completed in 00.004 seconds)

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

LaTeX 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

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

Turn Angle given Eccentricity

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

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

LaTeX Go

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

What is Hyperbolic Orbit ?

A hyperbolic orbit is one of the three basic types of conic sections that describe the path of an object around another under the influence of gravity. In a hyperbolic orbit, the object's path is open-ended, meaning it doesn't form a closed loop like a circular or elliptical orbit. Instead, it resembles the shape of a hyperbola, hence the name.

How to Calculate Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity?

Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity calculator uses Aiming Radius = Semi Major Axis of Hyperbolic Orbit*sqrt(Eccentricity of Hyperbolic Orbit^2-1) to calculate the Aiming Radius, Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity formula is defined as a measure that describes the distance from the focus of a hyperbolic orbit to the point where the trajectory intersects the asymptote, influenced by the orbit's semi-major axis and eccentricity. Aiming Radius is denoted by Δ symbol.

How to calculate Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity using this online calculator? To use this online calculator for Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity, enter Semi Major Axis of Hyperbolic Orbit (a_h) & Eccentricity of Hyperbolic Orbit (e_h) and hit the calculate button. Here is how the Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity calculation can be explained with given input values -> 12.16192 = 13658000*sqrt(1.339^2-1).

FAQ

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

Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity formula is defined as a measure that describes the distance from the focus of a hyperbolic orbit to the point where the trajectory intersects the asymptote, influenced by the orbit's semi-major axis and eccentricity and is represented as Δ = a_h*sqrt(e_h^2-1) or Aiming Radius = Semi Major Axis of Hyperbolic Orbit*sqrt(Eccentricity of Hyperbolic Orbit^2-1). Semi Major Axis of Hyperbolic Orbit is a fundamental parameter that characterizes the size and shape of the hyperbolic trajectory. It represents half the length of the major axis of the 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 Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity?

Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity formula is defined as a measure that describes the distance from the focus of a hyperbolic orbit to the point where the trajectory intersects the asymptote, influenced by the orbit's semi-major axis and eccentricity is calculated using Aiming Radius = Semi Major Axis of Hyperbolic Orbit*sqrt(Eccentricity of Hyperbolic Orbit^2-1). To calculate Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity, you need Semi Major Axis of Hyperbolic Orbit (a_h) & Eccentricity of Hyperbolic Orbit (e_h). With our tool, you need to enter the respective value for Semi Major Axis of Hyperbolic Orbit & 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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