Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum Calculator

✖Angular Momentum of Elliptic Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.ⓘ Angular Momentum of Elliptic Orbit [h_e]			+10% -10%
✖Radial Position in Elliptical Orbit refers to the distance of the satellite along the radial or straight-line direction connecting the satellite and the center of the body.ⓘ Radial Position in Elliptical Orbit [r_e]			+10% -10%

✖Radial Velocity of Satellite is the component of its velocity that is directed along the line of sight from an observer on the Earth's surface.ⓘ Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum [v_r]

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Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Velocity of Satellite = Angular Momentum of Elliptic Orbit/Radial Position in Elliptical Orbit
v_r = h_e/r_e
This formula uses 3 Variables

Variables Used

Radial Velocity of Satellite - (Measured in Meter per Second) - Radial Velocity of Satellite is the component of its velocity that is directed along the line of sight from an observer on the Earth's surface.
Angular Momentum of Elliptic Orbit - (Measured in Squaer Meter per Second) - Angular Momentum of Elliptic Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.
Radial Position in Elliptical Orbit - (Measured in Meter) - Radial Position in Elliptical Orbit refers to the distance of the satellite along the radial or straight-line direction connecting the satellite and the center of the body.

STEP 1: Convert Input(s) to Base Unit

Angular Momentum of Elliptic Orbit: 65750 Square Kilometer per Second --> 65750000000 Squaer Meter per Second (Check conversion here)
Radial Position in Elliptical Orbit: 18865 Kilometer --> 18865000 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_r = h_e/r_e --> 65750000000/18865000

Evaluating ... ...

v_r = 3485.2902199841

STEP 3: Convert Result to Output's Unit

3485.2902199841 Meter per Second -->3.4852902199841 Kilometer per Second (Check conversion here)

FINAL ANSWER

3.4852902199841 ≈ 3.48529 Kilometer per Second <-- Radial Velocity of Satellite

(Calculation completed in 00.017 seconds)

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Created by Harsh Raj

Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< Elliptical Orbit Parameters Calculators

Eccentricity of Elliptical Orbit given Apogee and Perigee

LaTeX Go Eccentricity of Elliptical Orbit = (Apogee Radius in Elliptic Orbit-Perigee Radius in Elliptic Orbit)/(Apogee Radius in Elliptic Orbit+Perigee Radius in Elliptic Orbit)

Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity

LaTeX Go Apogee Radius in Elliptic Orbit = Angular Momentum of Elliptic Orbit^2/([GM.Earth]*(1-Eccentricity of Elliptical Orbit))

Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii

LaTeX Go Semi Major Axis of Elliptic Orbit = (Apogee Radius in Elliptic Orbit+Perigee Radius in Elliptic Orbit)/2

Angular Momentum in Elliptic Orbit Given Apogee Radius and Apogee Velocity

LaTeX Go Angular Momentum of Elliptic Orbit = Apogee Radius in Elliptic Orbit*Velocity of Satellite at Apogee

Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum Formula

LaTeX Go

Radial Velocity of Satellite = Angular Momentum of Elliptic Orbit/Radial Position in Elliptical Orbit
v_r = h_e/r_e

What is Radial Position ?

Radial position, in the context of orbital mechanics, refers to the distance between an orbiting object and the central body it is orbiting, measured along the line connecting the two bodies, it represents how far the orbiting object is from the central body along the line connecting them. This distance is often measured from the center of the central body to the position of the orbiting object.

How to Calculate Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum?

Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum calculator uses Radial Velocity of Satellite = Angular Momentum of Elliptic Orbit/Radial Position in Elliptical Orbit to calculate the Radial Velocity of Satellite, Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum formula is defined as a measure of the velocity of an object in an elliptical orbit, which is influenced by the radial position and angular momentum of the object, providing valuable insights into the dynamics of celestial bodies. Radial Velocity of Satellite is denoted by v_r symbol.

How to calculate Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum using this online calculator? To use this online calculator for Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum, enter Angular Momentum of Elliptic Orbit (h_e) & Radial Position in Elliptical Orbit (r_e) and hit the calculate button. Here is how the Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum calculation can be explained with given input values -> 0.004847 = 65750000000/18865000.

FAQ

What is Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum?

Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum formula is defined as a measure of the velocity of an object in an elliptical orbit, which is influenced by the radial position and angular momentum of the object, providing valuable insights into the dynamics of celestial bodies and is represented as v_r = h_e/r_e or Radial Velocity of Satellite = Angular Momentum of Elliptic Orbit/Radial Position in Elliptical Orbit. Angular Momentum of Elliptic Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star & Radial Position in Elliptical Orbit refers to the distance of the satellite along the radial or straight-line direction connecting the satellite and the center of the body.

How to calculate Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum?

Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum formula is defined as a measure of the velocity of an object in an elliptical orbit, which is influenced by the radial position and angular momentum of the object, providing valuable insights into the dynamics of celestial bodies is calculated using Radial Velocity of Satellite = Angular Momentum of Elliptic Orbit/Radial Position in Elliptical Orbit. To calculate Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum, you need Angular Momentum of Elliptic Orbit (h_e) & Radial Position in Elliptical Orbit (r_e). With our tool, you need to enter the respective value for Angular Momentum of Elliptic Orbit & Radial Position in Elliptical Orbit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radial Velocity of Satellite?

In this formula, Radial Velocity of Satellite uses Angular Momentum of Elliptic Orbit & Radial Position in Elliptical Orbit. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radial Velocity of Satellite = [GM.Earth]*Eccentricity of Elliptical Orbit*sin(True Anomaly in Elliptical Orbit)/Angular Momentum of Elliptic Orbit

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