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

⤿

The Two Body Problem

⤿

Hyperbolic Orbits

Circular Orbits

Elliptical Orbits

Fundamental Parameters

Parabolic Orbits

⤿

Hperbolic Orbit Parameters

Orbital Position as Function of Time

✖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]

⎘ Copy

👎

Formula

✖

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

Formula

`"Δ" = "a"_{"h"}*sqrt("e"_{"h"}^2-1)`

Example

`"12161.92km"="13658km"*sqrt(("1.339")^2-1)`

Calculator

LaTeX

Reset

👍

Download Hyperbolic Orbits Formulas PDF PDF Image

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 00.020 seconds)

You are here -

Home » Physics » Orbital Mechanics » The Two Body Problem » Hyperbolic Orbits » Hperbolic Orbit Parameters » Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity

Credits

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 Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has verified this Calculator and 400+ more calculators!

< 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)

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

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

Kepler's Laws and Gravitational Attraction

Johannes Kepler's laws of planetary motion, developed in the 17th century, provided significant insights into the relationship between celestial bodies and gravity. Kepler's laws describe the elliptical orbits of planets and other objects in the solar system, all of which are governed by the gravitational pull of the central body, such as the Sun. These laws laid the foundation for understanding how gravity affects the motion of objects in space, paving the way for Sir Isaac Newton's formulation of the law of universal gravitation.

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 asymptote 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 -> 18.33459 = 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 asymptote 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 asymptote 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.

Home

FREE PDFs

🔍 Search