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THE FEUTEX TOOLKIT

Circular Orbit Profile

Calculate orbital velocity, period and specific energy around a specified body.

Astronomy workspace● Runs in your browser
01 Your input
02 Your result
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FormulaOrbital speed = sqrt(mu/r); Orbital period = 2*PI*sqrt(r**3/mu); Specific orbital energy = -mu/(2*r)
Sources and model references

Worked example

Inputs

Gravitational parameter
398600.4418 km³/s²
Orbital radius from center
7000 km

Expected results

Orbital speed
7.54605329 km/s
Orbital period
5828.516638 s
Specific orbital energy
-28.47146013 km²/s²

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Calculate orbital velocity, period and specific energy around a specified body.
  2. Set gravitational parameter, orbital radius from center in the indicated units.
  3. Calculate and compare orbital speed, orbital period, specific orbital energy.

Try this example

{
  "mu": 398600.4418,
  "r": 7000
}

Accuracy and scope

Idealized educational model. Enter measured values in the displayed units; real systems may require additional corrections.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.