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Circular Orbit Period Calculator

Use this online circular orbit period calculator with labeled inputs and a worked example. T = 2π√(r³/GM); v = √(GM/r).

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satellite orbital period calculator online

Use circular orbit period calculator online with the physical quantities shown below. Circular two-body approximation with negligible orbiting mass; radius is not altitude.

How to use it

Enter Central body mass (kg). Set Orbital radius from center (m). Select Calculate, check the result units, then copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
Central body mass (kg)Main input. Decimal or scientific notation. Positive values only. 5.972e+24
Orbital radius from center (m)Option. Decimal or scientific notation. Positive values only. 7000000

Calculation method

T = 2π√(r³/GM); v = √(GM/r)

Worked examples

Worked case for circular orbit period calculator. Circular two-body approximation with negligible orbiting mass; radius is not altitude.

Circular Orbit Period Calculator — example with explicit inputs

Settings: Orbital radius from center (m): 7000000

Input:

5.972e+24

Expected result for the example input and options:

Output:

{
  "period_s": 5828.598860022618,
  "orbital_speed_m_s": 7545.946840144431
}

Limitations and common mistakes

  • Circular two-body approximation with negligible orbiting mass; radius is not altitude.
  • Match every input to its displayed unit; scientific notation such as 1e-6 is accepted.
  • This is the documented idealized model; real systems may require additional effects and measurement uncertainty.

Frequently asked questions

How can I use satellite orbital period calculator online?

Enter Central body mass (kg). Set Orbital radius from center (m). Select Calculate, check the result units, then copy or download the JSON result.

Which model does Circular Orbit Period Calculator use?

T = 2π√(r³/GM); v = √(GM/r). Circular two-body approximation with negligible orbiting mass; radius is not altitude.

Technical references

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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