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Circular Orbital Period — result sheet
Calculate the period, circular speed, and local gravitational acceleration for an ideal circular orbit around a central mass.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: T = 2π√(r³/(GM)); v = √(GM/r); g(r) = GM/r², with G = 6.67430 × 10⁻¹¹ m³·kg⁻¹·s⁻².
For a small object in a circular orbit around a much larger central body, gravity supplies the required centripetal acceleration. The radius is measured from the central body's center, not from its surface.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Central-body mass — kg; minimum 1.0E-6; maximum 1.0E+35
- Orbit radius from center — m; minimum 1.0E-6; maximum 1.0E+18
Worked example
| Input | Value |
|---|---|
| Central-body mass | 5.9722E+24 |
| Orbit radius from center | 6771000 |
5,544 s period, 7,669 m/s speed, and 8.69 m/s² gravity
Assumptions and limits
- The orbit is circular and the orbiting object's mass is negligible compared with the central body.
- The central mass is isolated enough that other bodies and atmospheric drag can be ignored.
- The result is a two-body Newtonian estimate and does not model ellipticity, perturbations, launch energy, decay, or survivability.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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