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sci.orbital-mechanics Calculator
Calculates orbital period, velocity, and altitude for circular and elliptical orbits using Kepler's laws and vis-viva equation. Geostationary orbit requires altitude of 35,786 km and gives exactly 24 h period — ISS orbits at 400 km altitude with a 92-minute period.
Inputs
Altitude Km
Reference formula or conversion factor shown for context.
Mass Planet
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Radius Planet
Distance from centre to edge of a circle. Radius = diameter / 2.
Eccentricity
Reference formula or conversion factor shown for context.
Results
orbital velocity (km/s)
Reference formula or conversion factor shown for context.
orbital period (hr)
Reference formula or conversion factor shown for context.
escape velocity (km/s)
Reference formula or conversion factor shown for context.
orbital radius (km)
The computed radius -- half the diameter.
v = sqrt(GM/r)
Reference formula or conversion factor shown for context.