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sci.orbital-period-Kepler Calculator
Calculates orbital period from Kepler's third law: T = 2π√(a³/GM), and semi-major axis from period. GPS satellites at a = 26,560 km orbit with T = 11.97 hours — exactly half a sidereal day, meaning they repeat the same ground track every day.
Inputs
A Au
Reference formula or conversion factor shown for context.
M Star Solar
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Results
orbital period T (years)
Reference formula or conversion factor shown for context.
orbital period T (days)
Reference formula or conversion factor shown for context.
orbital period T (hours)
The result expressed in hours. Divide by 24 to convert to days.
mean orbital velocity (km/s)
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
T = √(a³/M_star) years
Reference formula or conversion factor shown for context.