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, The Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity formula is defined as distance between the asymptotic of a hyperbola and a parallel line that passes through the focus of the hyperbola, this parameter is crucial in the context of hyperbolic trajectories, particularly in fields like celestial mechanics and physics. 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?

The Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity formula is defined as distance between the asymptotic of a hyperbola and a parallel line that passes through the focus of the hyperbola, this parameter is crucial in the context of hyperbolic trajectories, particularly in fields like celestial mechanics and physics 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?

The Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity formula is defined as distance between the asymptotic of a hyperbola and a parallel line that passes through the focus of the hyperbola, this parameter is crucial in the context of hyperbolic trajectories, particularly in fields like celestial mechanics and physics 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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