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Astronomy operators

8 operators in the astronomy category of the live registry. Each is a named formula you can compose inside a state contract or call directly through POST /api/zeq/compute. KO42 is always on; add up to three more per call (total ≤ 4), per the 7-step protocol.

OperatorDescriptionEquation
BLACK_HOLE_MASSBlack hole mass from event horizon (Schwarzschild 1916): M = r_s * c^2 / (2G), derived from the Schwarzschild metric.M = \frac{r_s c^2}{2G}
EXOPLANET_TRANSITTransit depth: delta = (R_p / R_*)^2, fractional stellar flux decrease during exoplanet transit photometry.\delta = \left(\frac{R_p}{R_*}\right)^2
GW_STRAINGravitational wave strain (Einstein 1916, LIGO 2015): h = 4GM/(c^2 * r) * (v/c)^2, linearized metric perturbation from accelerating masses.h = \frac{4GM}{c^2 r}\frac{v^2}{c^2}
HUBBLE_LAWHubble's law (1929): recession velocity v = H_0 * d, establishing the expansion of the universe.v = H_0 \times d
KEPLER_THIRDKepler's third law (1619): T^2 = 4pi^2a^3 / (G*M), relating orbital period to semi-major axis.T^2 = \frac{4\pi^2}{GM}a^3
REDSHIFTCosmological redshift: z = (lambda_obs - lambda_emit) / lambda_emit, standard wavelength-shift measure of cosmic expansion.z = \frac{\lambda_{obs} - \lambda_{emit}}{\lambda_{emit}}
STELLAR_EVOLUTIONStellar luminosity via Stefan-Boltzmann law (Stefan 1879, Boltzmann 1884): L = 4piR^2sigmaT^4.L = 4\pi R^2 \sigma T^4
STELLAR_MASSMass-luminosity relation (Eddington 1924): L proportional to M^3.5, linking stellar mass to luminosity on the main sequence.L \propto M^{3.5}

Compute with one of these​

curl -sS -X POST https://zeqsdk.com/api/zeq/compute \
  -H "Authorization: Bearer $ZEQ_KEY" \
  -H "Content-Type: application/json" \
  -d '{"operators":["BLACK_HOLE_MASS"],"inputs":{}}'

The response carries the bare physics value, its unit and uncertainty, the generated master equation, and a signed envelope you can verify on any node.

See also​