Geodesy Tools
Browse all available geodesy tools.
Available tools
- 2DRMS Horizontal Accuracy Calculator Compute 2DRMS from supplied horizontal standard deviations, exposing its approximately 98.17% radial coverage only in the unbiased isotropic Gaussian case; not universally 95% accuracy.
- Albers Equal-Area Conic Projection Constants Calculator Compute Albers equal-area conic n and C from ellipsoidal parallel m/q weights, including the tangent limit and explicit zero-n degeneracy; no complete Albers coordinate transform.
- Authalic Latitude Equal-Area Converter Compute equal-area authalic latitude using ellipsoidal q(phi)/q(pole), with stable spherical and polar limits; no Earth gravity model inferred.
- Authalic Radius Calculator Compute the equal-surface-area sphere radius of supplied oblate ellipsoid axes, with a continuous spherical limit; not mean arithmetic or volumetric radius.
- Azimuthal Equidistant Center-Distance Checker Project a point with spherical azimuthal-equidistant equations and compare its planar radius with center-to-point great-circle distance; antipodes rejected, does not preserve distances between arbitrary noncentral points.
- Bowditch Traverse Adjustment Calculator Apply the local Bowditch/compass rule, distributing closure proportional to leg lengths; returns component corrections and adjusted coordinates, not least-squares network accuracy.
- Bowring Geocentric to Geodetic Coordinate Converter Convert geocentric latitude plus radius using Bowring initialization and bounded refinement; returns geodetic latitude/height and ECEF residual, excluding deep-interior ambiguous normals.
- Cassini-Soldner Transverse Scale Along Meridian Checker Check spherical Cassini-Soldner meridian differential scale from analytical forward-map derivatives, unity on the central meridian; restricted to +/-30 degrees longitude and |latitude|<=85, not ellipsoidal Cassini accuracy.
- Circular Error Probable (CEP50) Calculator Compute radial 50th-percentile error for an unbiased independent isotropic two-axis Gaussian; not an anisotropic/bias-bearing CEP approximation or measured positioning guarantee.
- Combined Curvature and Refraction Correction Calculator Evaluate the explicitly named historical combined curvature/refraction approximation 0.0675*dKm^2 meters; fixed conventional coefficient, not measured refraction or an exact universal Earth model.
- Dilution of Precision DOP Geometric Factor Classifier Classify a positive supplied DOP under explicit heuristic cutoffs 1,2,5,10,20; labels are educational, not receiver accuracy, integrity or survey acceptance standards.
- Double Meridian Distance Traverse Area Calculator Compute signed traverse area by double-meridian distances from explicitly closed local north/east leg increments; positive is counterclockwise in east/north coordinates, no geodetic area or hidden closure correction.
- Earth Curvature Drop Calculator Compute exact spherical surface drop below a tangent plane at an explicit horizontal offset, not along-surface arc distance; no refraction and no ellipsoid/terrain prediction.
- ECEF to Geodetic Coordinate Converter Convert exterior/near-surface ECEF meters to geodetic latitude, longitude and ellipsoidal height with bounded iteration and explicit round-trip residual; excludes deep-interior ambiguous normals.
- Ellipsoid Flattening Calculator Compute oblate ellipsoid geometric flattening (a-b)/a from matching meter axes; supports spheres and b>=0.9a, not dynamical flattening.
- Ellipsoidal Height Calculator Apply the physical height relation h=H+N with explicit matching vertical datum/tide-system geoid undulation N; no geoid lookup or automatic vertical-datum transformation.
- ENU Local Tangent Plane Component Converter Rotate an ECEF displacement vector into ellipsoidal East/North/Up at an explicit origin latitude/longitude; input is a delta, not an absolute position or a datum transformation.
- Gauss Conformal Latitude Calculator Compute Gauss conformal latitude from ellipsoidal isometric latitude; finite nonpolar input only, no planar projection or datum conversion.
- Gaussian Radius of Curvature Calculator Compute Gaussian mean curvature radius sqrt(M*N) from ellipsoid geometry at latitude, deriving both directional curvature radii rather than averaging caller numbers.
- Geodetic to ECEF Coordinate Converter Convert explicit ellipsoidal geodetic coordinates to right-handed ECEF meters; latitude/longitude degrees, ellipsoidal height not orthometric height, no datum shift.
- Geodetic to Geocentric Latitude Converter Convert geodetic to geocentric latitude on the ellipsoid surface (height zero), not arbitrary elevated ECEF position; oblate f<=0.02.
- Geoid Separation Gradient per km Estimator Estimate directional geoid-undulation gradient from same-model/same-epoch endpoint values and explicit positive ground separation; not a global geoid model or automatic vertical deflection.
- GPS Week Rollover Resolver Resolve a modulo GPS broadcast week only when a unique nonnegative full week lies within half a rollover of a caller reference; ties/out-of-window eras reject, with no current-clock or UTC inference.
- Greenwich Sidereal Time Approximation Hours Calculator Compute the historical IAU-1982-style approximate Greenwich mean sidereal time from an explicit UT1 Julian date within 1900-2100; no apparent sidereal time, nutation or automatic UTC-to-UT1 correction.
- GRS80 Flattening Parameter Lookup Return the published rounded GRS80 geometric flattening, distinct from WGS84 and dynamical J2; not a datum realization transform.
- Helmert Scale Correction Calculator Apply the signed Helmert scale convention k=1+ppm*1e-6 and expose its coordinate correction separately; not a full Helmert transform.
- Helmert Transform Coordinate Rotation Applier Apply a static seven-parameter small-angle 3D Helmert in explicit position-vector or coordinate-frame convention; rotations arcseconds, scale ppm, no guessed datum/epoch or kinematic rates.
- Horizon Dip Angle from Eye Height Calculator Compute exact geometric spherical horizon dip from eye height and radius, excluding atmospheric refraction; distinct from refracted nautical empirical dip corrections.
- International Gravity Formula 1967 Value Calculator Evaluate the historical International Gravity Formula 1967 at sea level in m/s^2, not GRS80/WGS84 gravity or an observed anomaly.
- Isometric Latitude Computation Calculator Compute dimensionless ellipsoidal isometric latitude as asinh(tan(phi))-e*atanh(e*sin(phi)); poles are divergent and rejected.
- Isostatic Compensation Depth Airy Heiskanen Estimate Calculator Estimate an Airy-Heiskanen local root from crust/mantle density contrast and positive relief, returning depth below the reference datum; ignores flexure, lateral density changes and real crustal structure.
- Julian Date from Calendar Date Standard Converter Convert proleptic Gregorian civil date plus same-scale uniform-day seconds to fractional Julian date (noon origin); time scale is caller-defined, no UTC leap-second instant or calendar-cutover inference.
- Lambert Conformal Conic Constant n Solver from Two Parallels Compute Lambert conformal-conic cone constant from ellipsoidal m and isometric latitude at two parallels, using the tangent limit for identical parallels and marking degenerate n=0; not a complete LCC map.
- Laplace Equation Azimuth Correction from Deflections Calculator Compute the Laplace azimuth difference astronomical-minus-geodetic = eta*tan(geodetic latitude), using east-positive eta; excludes poles and higher-order deflection effects.
- Leap Second Count Since 1972 Counter Count actual published positive leap seconds since the 1972 ten-second TAI-UTC baseline using a pinned IERS table; rejects dates before 1972 or beyond its stated expiration.
- Leveling Loop Closure mm per km Grade Checker Check absolute leveling loop closure against a caller-established coefficient*sqrt(distanceKm) criterion; reports the supplied grade definition, not an invented jurisdictional grade or survey certification.
- Linear Eccentricity c from a and e Calculator Compute ellipsoid focal linear eccentricity c=a*e in meters from a dimensionless first eccentricity, requiring 0<=e<1.
- Mercator Northing Meridional Part Table Row Calculator Compute ellipsoidal Mercator northing relative to the equator and dimensionless-radian meridional parts expressed as arcminutes; excludes poles, false northing and scale factors.
- Meridian Arc Length Degree Interval Calculator Compute signed ellipsoidal meridian distance between explicit geodetic latitudes by bounded numerical quadrature; northward positive, longitude irrelevant.
- Meridian Arc Length Inverse Problem Solver Invert signed equator-referenced meridian distance within the polar quadrants using at most 64 bisections and explicit residual/convergence, not an arbitrary along-path inverse.
- Meridian Radius of Curvature M Calculator Compute the meridional M radius of curvature of an explicit oblate/spherical ellipsoid in meters, not a generic global Earth radius.
- Modified Julian Date MJD Converter Convert a same-time-scale Julian date to modified Julian date with the exact epoch offset 2400000.5 days; does not convert UTC, UT1 or TT.
- Mollweide Projection Area Conservation Spot Checker Spot-check spherical Mollweide equal-area behavior using finite-difference Jacobian of the actual forward map, not a hardcoded area identity; |latitude|<=85, local differential check only.
- Molodensky Datum Shift Simplified A-B-Delta Converter Apply standard first-order Molodensky shifts using caller-established source ellipsoid, three translations and target-minus-source da/df; no built-in datum parameters, rotations or global accuracy guarantee.
- Normal Gravity at Sea Level Equator 978032 mGal Lookup Return rounded GRS80 equatorial sea-level normal gravity; the milestone title 978032 mGal is approximate, not an exact universal observed gravity.
- Orthometric Height H from h minus N Calculator Apply the physical height relation h=H+N with explicit matching vertical datum/tide-system geoid undulation N; no geoid lookup or automatic vertical-datum transformation.
- Parallel Arc Length One Degree Longitude Calculator Compute one-degree parallel arc from local prime-vertical radius and geodetic latitude, zero at poles; not a fixed spherical longitude conversion.
- Polar Motion Displacement Calculator Compute first-order Cartesian polar-motion displacement for explicitly stated rotation/sign convention from supplied xp/yp; omits s-prime, UT1, precession/nutation and full IERS frame transformation.
- Prime Vertical Radius of Curvature N Calculator Compute the prime-vertical N radius of curvature of an explicit oblate/spherical ellipsoid in meters, not a generic global Earth radius.
- Reciprocal Azimuth Difference Blunder Flag Checker Flag supplied local forward/back azimuth reciprocity discrepancies against an explicit tolerance, preserving signed angular wrap; distant geodesic endpoints need not have exact reciprocal bearings.
- Rectifying Latitude Meridian Arc Fraction Converter Compute rectifying latitude from signed equator-to-latitude meridian distance and rectifying radius, using bounded numerical quadrature.
- Rectifying Radius Calculator Compute rectifying radius as meridian-quadrant length divided by pi/2 using bounded 1024-panel Simpson integration; b>=0.98a, not arithmetic mean radius.
- Reduced Parametric Latitude Converter Convert geodetic latitude to reduced/parametric latitude atan2((b/a)sin(phi),cos(phi)), preserving poles and sign on oblate/spherical ellipsoids.
- Robinson Projection Calculator (Linear Interpolation) Interpolate the published Robinson 5-degree coefficient table linearly and project spherical coordinates; explicitly not conformal/equal-area or identical to PROJ cubic interpolation between knots.
- Satellite Elevation Angle from Range Geometry Simplified Calculator Compute spherical station satellite elevation and slant range from geocentric radii and central separation, retaining below-horizon elevations; no orbital propagation or atmospheric refraction.
- Second Eccentricity Squared Calculator Compute second geometric eccentricity squared (a^2-b^2)/b^2 for an oblate/spherical ellipsoid; do not confuse e-prime squared with e squared.
- Seconds of Week from Day of Week Converter Convert zero-based GPS day-of-week (Sunday=0) plus seconds in a uniform 86400-second GPS day to seconds-of-week; UTC leap-second days are not interpreted.
- Somigliana Normal Gravity Calculator Evaluate Somigliana normal gravity from an explicit ellipsoid and matching equatorial/polar normal-gravity constants in m/s^2; not observed gravity, altitude correction or a mixed-datum model.
- State Plane Combined Factor Ground-to-Grid Calculator Apply a caller-established State Plane point scale times approximate R/(R+h) elevation reduction to ground length; requires compatible ellipsoidal height/radius, not automatic State Plane/datum lookup.
- Stereographic Polar Aspect Scale True-at-Pole Checker Compute ellipsoidal polar-stereographic point scale normalized to an explicit pole scale, with analytic pole limit and same-hemisphere input; no polar coordinate inverse or geoid model.
- Terrain Correction Simple Hammer Zone A Estimator Compute a flat-topped Hammer-style annular-sector terrain correction magnitude for supplied inner/outer radius, signed relief and density; no DEM sampling, fixed zone-A dimensions or complete terrain reduction.
- Third Flattening Calculator Compute third flattening n=(a-b)/(a+b) from matching oblate/spherical meter axes with b>=0.9a.
- Tidal Gravity Correction Solid Earth Tide Estimate Calculator Estimate degree-two solid-Earth tidal gravity from supplied external-body GM/distances/zeniths and gravimetric factor 1+h2-1.5k2; downward-positive gravity and opposite removal correction, not full IERS tides or ephemerides.
- Transit Rule Alternative Adjustment Distributor Apply the local transit rule, distributing coordinate closure proportional to absolute component increments; returns component corrections and adjusted coordinates, not least-squares network accuracy.
- Traverse Misclosure Lat Departure Closure Calculator Compute local traverse latitude/northing and departure/easting increments with azimuth clockwise from north, plus signed loop misclosure and perimeter; no geodesic propagation or automatic adjustment.
- Traverse Precision Ratio 1-in-N Formatter Format measured traverse perimeter-to-misclosure precision ratio with explicit significant digits; zero misclosure is exact closure, not infinite certified survey accuracy.
- Triangulation Triangle Closure Error Distributor Distribute triangle angle-sum closure by inverse precision weights toward 180 degrees plus supplied spherical excess; adjustment arithmetic does not establish measured-angle validity or a complete network solution.
- Trigonometric Heighting Difference Calculator with Earth Curvature Estimate trigonometric target-minus-station height from slant geometry, instrument/target heights and positive curvature/refraction term (1-k)D^2/(2R); local small-angle model, not full geodetic leveling.
- UT1–UTC Interpolator and Delta T Calculator Interpolate supplied DUT1 observations through continuous UT1-TAI, then distinguish UT1-UTC from DeltaT=TT-UT1 using the pinned IERS leap table; no invented Earth-rotation observations or extrapolation.
- UTM Grid Convergence Angle gamma Calculator Estimate ellipsoidal TM grid convergence through cubic longitude terms within +/-3 degrees of the central meridian; positive east-of-central in the northern hemisphere, not a full projection solver.
- UTM Point Scale Factor k0 Gamma Series Calculator Estimate ellipsoidal transverse-Mercator point scale with a fourth-order longitude series, limited to +/-3 degrees from the central meridian and |latitude|<=84; not a full global UTM engine.
- UTM Scale Factor at Central Meridian 0.9996 Lookup Return the defining UTM central-meridian scale k0=0.9996 for either hemisphere; no zone selection, point scale, convergence or coordinate projection.
- Vertical Gradient of Gravity microGal per metre Calculator Compute a measured signed upward vertical gravity gradient from two same-convention observations and positive height separation; no imposed free-air gradient or terrain correction.
- Vincenty Direct Geodesic Calculator Solve Vincenty direct geodesics on supplied oblate/spherical ellipsoids, bounded to 200 iterations and half-equatorial circumference; report forward end bearing and explicit nonconvergence.
- Vincenty Inverse Geodesic Calculator Solve Vincenty inverse distance and forward endpoint bearings with a 200-iteration cap; near-antipodal failure returns null distances, never a fabricated spherical fallback.
- WGS84 Semi Major Lookup Return the WGS84 ellipsoid semi-major axis in metres for the requested realisation.
- Zenith Angle from Altitude Complement Calculator Convert signed horizon altitude in [-90,90] degrees to zenith angle [0,180] degrees; same apparent/geometric convention must be retained.