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Both calculators run independently — change the inputs on either side to compare results.

Orbital Velocity Calculator

Compute the orbital velocity around a central body using v = √(GM/r) × √(1+e), an approximation that scales the circular-orbit speed by the eccentricity. Useful for first-order estimates of satellite velocities, planetary orbital speeds, and binary star systems.

Central Body Mass (kg)

Orbital Radius (meters)

Orbital Eccentricity

Astronomy

Schwarzschild Radius Calculator

Compute the Schwarzschild radius — the event horizon size of a non-rotating black hole — from its mass via r_s = 2GM/c². The defining length scale of black holes, equal to about 3 km per solar mass.

Black Hole Mass (M☉)

Key differences

	Orbital Velocity Calculator	Schwarzschild Radius Calculator
Category	Astronomy	Astronomy
Inputs required	3	1
Result	Orbital Velocity (m/s)	Schwarzschild Radius (km)
What it does	Compute the orbital velocity around a central body using v = √(GM/r) × √(1+e), an approximation that scales the circular-orbit speed by the eccentricity. Useful for first-order estimates of satellite velocities, planetary orbital speeds, and binary star systems.	Compute the Schwarzschild radius — the event horizon size of a non-rotating black hole — from its mass via r_s = 2GM/c². The defining length scale of black holes, equal to about 3 km per solar mass.