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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, 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 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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