Orbital Mechanics API
Orbital-mechanics maths as an API, computed locally and deterministically. The circular endpoint computes a circular orbit around a body — the orbital speed v = √(GM/r), the orbital period T = 2π·√(r³/GM), the escape speed and the specific orbital energy — from a built-in body (Sun, Mercury through Neptune, the Moon) and an altitude above its surface, or from an explicit orbital radius, central mass or standard gravitational parameter. The escape endpoint gives the escape velocity √(2·GM/r) at any radius or altitude, which is √2 times the circular-orbit speed there. The period endpoint applies Kepler's third law in both directions: from a semi-major axis it returns the orbital period, and from a period it returns the semi-major axis — so a sidereal day around Earth gives the geostationary radius of about 42,164 km. Speeds come out in metres and kilometres per second and km/h, distances in metres and kilometres, and periods in seconds, minutes, hours and days. Everything is computed in SI and is instant and private. Ideal for aerospace and satellite tools, space-mission and education apps, astronomy and KSP-style games, and physics calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is orbital mechanics; for live satellite catalogues use a satellites API and for sky positions use an astronomy API.
api.oanor.com/orbital-api