Radial Position in Parabolic Orbit given Escape Velocity Calculator

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The Two Body Problem

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Parabolic Orbits

Circular Orbits

Elliptical Orbits

Fundamental Parameters

Hyperbolic Orbits

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Parabolic Orbit Parameters

Orbital Position as Function of Time

✖Escape Velocity in Parabolic Orbit defined as the velocity needed for a body to escape from a gravitational center of attraction without undergoing any further acceleration.ⓘ Escape Velocity in Parabolic Orbit [v_p,esc]

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✖Radial Position in Parabolic 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 Parabolic Orbit given Escape Velocity [r_p]

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Formula

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Radial Position in Parabolic Orbit given Escape Velocity

Formula

`"r"_{"p"} = (2*"[GM.Earth]")/"v"_{"p,esc"}^2`

Example

`"23535.41km"=(2*"[GM.Earth]")/("5.82km/s")^2`

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Radial Position in Parabolic Orbit given Escape Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2
r_p = (2*[GM.Earth])/v_p,esc^2
This formula uses 1 Constants, 2 Variables

Constants Used

[GM.Earth] - Earth’s Geocentric Gravitational Constant Value Taken As 3.986004418E+14

Variables Used

Radial Position in Parabolic Orbit - (Measured in Meter) - Radial Position in Parabolic Orbit refers to the distance of the satellite along the radial or straight-line direction connecting the satellite and the center of the body.
Escape Velocity in Parabolic Orbit - (Measured in Meter per Second) - Escape Velocity in Parabolic Orbit defined as the velocity needed for a body to escape from a gravitational center of attraction without undergoing any further acceleration.

STEP 1: Convert Input(s) to Base Unit

Escape Velocity in Parabolic Orbit: 5.82 Kilometer per Second --> 5820 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_p = (2*[GM.Earth])/v_p,esc^2 --> (2*[GM.Earth])/5820^2

Evaluating ... ...

r_p = 23535411.8279189

STEP 3: Convert Result to Output's Unit

23535411.8279189 Meter -->23535.4118279189 Kilometer (Check conversion here)

FINAL ANSWER

23535.4118279189 ≈ 23535.41 Kilometer <-- Radial Position in Parabolic Orbit

(Calculation completed in 00.004 seconds)

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Created by Karavadiya Divykumar Rasikbhai

Hindustan Institute of Technology and Science (HITS), Chennai, Indian

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< 10+ Parabolic Orbit Parameters Calculators

X Coordinate of Parabolic Trajectory given Parameter of Orbit

Go X Coordinate Value = Parameter of Parabolic Orbit*(cos(True Anomaly in Parabolic Orbit)/(1+cos(True Anomaly in Parabolic Orbit)))

Y Coordinate of Parabolic Trajectory given Parameter of Orbit

Go Y Coordinate Value = Parameter of Parabolic Orbit*sin(True Anomaly in Parabolic Orbit)/(1+cos(True Anomaly in Parabolic Orbit))

Parameter of Orbit given X Coordinate of Parabolic Trajectory

Go Parameter of Parabolic Orbit = X Coordinate Value*(1+cos(True Anomaly in Parabolic Orbit))/cos(True Anomaly in Parabolic Orbit)

Parameter of Orbit given Y Coordinate of Parabolic Trajectory

Go Parameter of Parabolic Orbit = Y Coordinate Value*(1+cos(True Anomaly in Parabolic Orbit))/sin(True Anomaly in Parabolic Orbit)

Radial Position in Parabolic Orbit given Angular Momentum and True Anomaly

Go Radial Position in Parabolic Orbit = Angular Momentum of Parabolic Orbit^2/([GM.Earth]*(1+cos(True Anomaly in Parabolic Orbit)))

True Anomaly in Parabolic Orbit given Radial Position and Angular Momentum

Go True Anomaly in Parabolic Orbit = acos(Angular Momentum of Parabolic Orbit^2/([GM.Earth]*Radial Position in Parabolic Orbit)-1)

Escape Velocity given Radius of Parabolic Trajectory

Go Escape Velocity in Parabolic Orbit = sqrt((2*[GM.Earth])/Radial Position in Parabolic Orbit)

Angular Momentum given Perigee Radius of Parabolic Orbit

Go Angular Momentum of Parabolic Orbit = sqrt(2*[GM.Earth]*Perigee Radius in Parabolic Orbit)

Radial Position in Parabolic Orbit given Escape Velocity

Go Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2

Perigee Radius of Parabolic Orbit given Angular Momentum

Go Perigee Radius in Parabolic Orbit = Angular Momentum of Parabolic Orbit^2/(2*[GM.Earth])

Radial Position in Parabolic Orbit given Escape Velocity Formula

Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2
r_p = (2*[GM.Earth])/v_p,esc^2

Is Earth's orbit parabolic?

Earth's motion around the Sun could be approximated as parabolic, but the approximation would only be valid over short distances. If you consider a comet in a highly elliptical orbit around the Sun, the segment of its path at or near apoapsis could be approximated as parabolic, but it is only an approximation.

How to Calculate Radial Position in Parabolic Orbit given Escape Velocity?

Radial Position in Parabolic Orbit given Escape Velocity calculator uses Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2 to calculate the Radial Position in Parabolic Orbit, The Radial Position in Parabolic Orbit given Escape Velocity formula is defined as the radial distance of the parabolic trajectory from the orbital body. Radial Position in Parabolic Orbit is denoted by r_p symbol.

How to calculate Radial Position in Parabolic Orbit given Escape Velocity using this online calculator? To use this online calculator for Radial Position in Parabolic Orbit given Escape Velocity, enter Escape Velocity in Parabolic Orbit (v_p,esc) and hit the calculate button. Here is how the Radial Position in Parabolic Orbit given Escape Velocity calculation can be explained with given input values -> 11.03392 = (2*[GM.Earth])/5820^2.

FAQ

What is Radial Position in Parabolic Orbit given Escape Velocity?

The Radial Position in Parabolic Orbit given Escape Velocity formula is defined as the radial distance of the parabolic trajectory from the orbital body and is represented as r_p = (2*[GM.Earth])/v_p,esc^2 or Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2. Escape Velocity in Parabolic Orbit defined as the velocity needed for a body to escape from a gravitational center of attraction without undergoing any further acceleration.

How to calculate Radial Position in Parabolic Orbit given Escape Velocity?

The Radial Position in Parabolic Orbit given Escape Velocity formula is defined as the radial distance of the parabolic trajectory from the orbital body is calculated using Radial Position in Parabolic Orbit = (2*[GM.Earth])/Escape Velocity in Parabolic Orbit^2. To calculate Radial Position in Parabolic Orbit given Escape Velocity, you need Escape Velocity in Parabolic Orbit (v_p,esc). With our tool, you need to enter the respective value for Escape Velocity in Parabolic 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 Position in Parabolic Orbit?

In this formula, Radial Position in Parabolic Orbit uses Escape Velocity in Parabolic Orbit. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radial Position in Parabolic Orbit = Angular Momentum of Parabolic Orbit^2/([GM.Earth]*(1+cos(True Anomaly in Parabolic Orbit)))

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