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

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Aiming Radius id distance between asymptote and a parallel line through focus of hyperbola. Check FAQs

Δ = a h \cdot \sqrt{{e h}^{2} - 1}

Δ - Aiming Radius?a_h - Semi Major Axis of Hyperbolic Orbit?e_h - Eccentricity of Hyperbolic Orbit?

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

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Here is how the Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity equation looks like with Values.

Here is how the Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity equation looks like with Units.

Here is how the Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity equation looks like.

12161.9179 = 13658 \cdot \sqrt{{1.339}^{2} - 1}

12161.9179km = 13658km \cdot \sqrt{{1.339}^{2} - 1}

12161.9179 = 13658 \cdot \sqrt{{1.339}^{2} - 1}

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

Follow our step by step solution on how to calculate Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity?

FIRST Step Consider the formula

Δ = a h \cdot \sqrt{{e h}^{2} - 1}

Next Step Substitute values of Variables

∴

Δ = 13658km \cdot \sqrt{{1.339}^{2} - 1}

Next Step Convert Units

∴

Δ = 1.4E+7m \cdot \sqrt{{1.339}^{2} - 1}

Next Step Prepare to Evaluate

∴

Δ = 1.4E+7 \cdot \sqrt{{1.339}^{2} - 1}

Next Step Evaluate

∴

Δ = 12161917.9291691m

Next Step Convert to Output's Unit

∴

Δ = 12161.9179291691km

LAST Step Rounding Answer

∴

Δ = 12161.9179km

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

Variables

Functions

Aiming Radius

Aiming Radius id distance between asymptote and a parallel line through focus of hyperbola.

Symbol: Δ

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Aiming Radius

Semi Major Axis of Hyperbolic Orbit

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.

Symbol: a_h

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Semi Major Axis of Hyperbolic 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.

Symbol: e_h

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Eccentricity of Hyperbolic Orbit

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.

Syntax: sqrt(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 Turn Angle given Eccentricity

δ = 2 \cdot a \sin (\frac{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)}

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

Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity evaluator uses Aiming Radius = Semi Major Axis of Hyperbolic Orbit*sqrt(Eccentricity of Hyperbolic Orbit^2-1) to evaluate 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 evaluate Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity?

The formula of Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity is expressed as Aiming Radius = Semi Major Axis of Hyperbolic Orbit*sqrt(Eccentricity of Hyperbolic Orbit^2-1). Here is an example- 12.16192 = 13658000*sqrt(1.339^2-1).

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

With Semi Major Axis of Hyperbolic Orbit (a_h) & Eccentricity of Hyperbolic Orbit (e_h) we can find Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity using the formula - Aiming Radius = Semi Major Axis of Hyperbolic Orbit*sqrt(Eccentricity of Hyperbolic Orbit^2-1). This formula also uses Square Root (sqrt) function(s).

Can the Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity be negative?

No, the Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity, measured in Length cannot be negative.

Which unit is used to measure Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity?

Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity can be measured.

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