Computes mean NDVI and an ordinary least-squares daily NDVI trend, then applies yield = intercept + mean_coefficient×mean_NDVI + trend_coefficient×daily_trend. It does not derive NDVI from imagery, account for crop stage or weather, or provide an agronomically calibrated forecast unless the caller supplies valid coefficients.

Combines caller-supplied AIS gap duration, unmatched satellite detections, night-observation fraction, and position discrepancy into a bounded score. It does not identify a vessel, link detections, establish illegal activity, or replace maritime intelligence review.

Propagates two caller-supplied Cartesian states with constant velocity, analytically finds the clamped time of closest approach, and compares miss distance with combined hard-body radius. It ignores gravity, covariance, maneuver uncertainty, tracking error, and nonlinear dynamics and is not an operational conjunction assessment.

Uses da/dt = -rho×sqrt(mu×a)/ballistic_coefficient for a circular orbit, holds density and ballistic coefficient constant, and linearly projects altitude over a bounded horizon. Real density changes rapidly with altitude and solar activity; the result is not a lifetime prediction or maneuver plan.

Propagates a circular two-body orbit from altitude, inclination, RAAN, and initial orbital phase; rotates Earth at a fixed sidereal rate; and samples ground-station elevation. It ignores eccentricity, perturbations, epoch-dependent Greenwich angle, refraction, ellipsoid shape, terrain, and antenna masks, so it is a planning estimate rather than operational ephemeris.