Calculating your orbital period is straightforward once you know the Orbital Period formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Orbital Period Calculator.
What is Orbital Period?
The Orbital Period calculation tells you your orbital period from a few simple inputs. The figure you are solving for here is the orbital period.
The Orbital Period formula
The core formula is:
Orbital period = 2 × 3.141592653589793 × √((Orbit radius)^(3) ÷ (6.674e-11 × Central body mass))Here is what each input means:
- Orbit radius — a value measured in m. Example: 7,000,000 m.
- Central body mass — a value measured in kg. Example: 5,972,000,000,000,000,327,155,712 kg.
How to calculate it step by step
- Write down the orbit radius (for example, 7,000,000 m).
- Write down the central body mass (for example, 5,972,000,000,000,000,327,155,712 kg).
- Apply the formula above to get your orbital period.
- Double-check the result with the Orbital Period Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Orbit radius | 7,000,000 m |
| Central body mass | 5,972,000,000,000,000,327,155,712 kg |
| Orbital period | 5,828,612,740,292,973.00 |
| In minutes | 97,143,545,671,549.55 |
With orbit radius of 7,000,000 m and central body mass of 5,972,000,000,000,000,327,155,712 kg, the orbital period works out to 5,828,612,740,292,973.00.
Example 2
With orbit radius of 14,000,000 m and central body mass of 5,972,000,000,000,000,327,155,712 kg, the orbital period works out to 16,485,806,374,285,862.00.
| Result | Value |
|---|---|
| Orbital period | 16,485,806,374,285,862.00 |
| In minutes | 274,763,439,571,431.03 |
Example 3
With orbit radius of 3,500,000 m and central body mass of 5,972,000,000,000,000,327,155,712 kg, the orbital period works out to 2,060,725,796,785,732.75.
| Result | Value |
|---|---|
| Orbital period | 2,060,725,796,785,732.75 |
| In minutes | 34,345,429,946,428.88 |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
Prefer not to do the maths by hand? — the Orbital Period Calculator does it instantly, for free, with the formula and a worked example built in.
Related calculators
Continue exploring science calculators with these tools: Impulse Calculator, Elastic Potential Energy Calculator, Thermal Expansion Calculator, Buoyancy Force Calculator, RPM to Linear Speed Calculator.