Orbital Period Calculator (Mass Based, Density Based)
Orbital Period Calculator
Real‑time · Kepler & density
Orbital Period
auto‑updates
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Seconds
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Minutes
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Hours
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Days
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Months (30d)
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Years (365d)
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Orbital Radius
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Orbital Velocity
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Orbits / Day
📐 Formula & steps
Enter values to see calculation steps.
Enter values to see calculation steps.
G = 6.67430 × 10⁻¹¹ m³ kg⁻¹ s⁻² · Values auto‑format with commas
1. Mass-Based Calculator (The Universal Tool)
This is the standard calculator used for most astronomy and space exploration problems. It treats the central body as a point mass.Orbital Period Formula (Mass-Based)
T = 2π √
r3
GM
Where:
T = Orbital Period (seconds)
r = Distance from the center of the object (meters)
G = Universal Gravitational Constant
(6.67430 × 10-11 m3·kg-1·s-2)
M = Mass of the central object (kg)
1. Mass-Based Calculator (The Universal Tool)
This is the standard calculator used for most astronomy and space exploration problems. It treats the central body as a point mass.Orbital Period Formula (Density-Based)
T = √
3π
Gρ
Where:
T = Orbital period (seconds)
π = Pi (approximately 3.14159)
G = Universal gravitational constant (6.67430 × 10-11 m3·kg-1·s-2)
ρ = Average density of the central body (kg/m3)
T = Orbital period (seconds)
π = Pi (approximately 3.14159)
G = Universal gravitational constant (6.67430 × 10-11 m3·kg-1·s-2)
ρ = Average density of the central body (kg/m3)