{ "model": { "rank": 5889, "code": "thing-q4112212", "model_id": "vr.tr.orbital-inclination", "name": "orbital inclination", "purpose": "Enable an AI agent to interpret orbital inclination, assess whether its value is meaningful and comparable, and determine which analyses or changes it can support.", "family": "Thing Registry", "category": "Cross-cutting context", "status": "research-draft", "kind": "thing", "plane": "XCT", "domain": "XCT.QLT", "industry": "", "version": "", "url": "/models/thing/q4112212/", "tier": 2, "score": 64, "payload": { "layer": "wikidata", "aliases": [], "aliasCount": 0, "merged": 0, "knownIn": 64, "facets": null, "markers": [], "lexicalClass": "", "senseRank": null, "alsoRegisteredAs": null, "source": { "dataset": "wikidata", "item": "Q4112212", "url": "https://www.wikidata.org/wiki/Q4112212", "license": "CC0 1.0" } }, "research": { "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-07T09:53:47Z", "providers": [ "Codex", "Grok" ], "missingProviders": [], "pass": 2, "cost": { "grok": { "usd": 0.03739746, "turns": 2, "seconds": 130.1, "error": null }, "codex": { "seconds": 81.7, "error": "Reading additional input from stdin...\nOpenAI Codex v0.153.3\n--------\nworkdir: R:\\02_PROJECTS\\02_Meta_Models_Platforms\\Ver.cy\\current\\thing-registry-backlog\nmodel: gpt-6-astra\nprovider: openai\napproval: never\nsandbox: read-only\nreasoning effort: none\nreasoning summaries: none\nsession id: 01a07b47-cdf4-7dc0-865b-564e40a845b9\n--------\nuser\nYou are drafting a Vercy meta-model for one registered thing. Answer as JSON only, no prose around it.\n\nThing: orbital inclination\nRegistry id: vr.tr.orbital-inclination\nPlane / domain: XCT / XCT.QLT\nRegistry definition: (none recorded)\nNames folded into this " } } }, "metaModel": { "id": "THING-Q4112212", "registryId": "vr.tr.orbital-inclination", "name": "orbital inclination", "version": "0.1.0-research.1", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QLT" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q4112212/", "model": { "registry_id": "vr.tr.orbital-inclination", "name": "orbital inclination", "purpose": "Enable an AI agent to interpret orbital inclination, assess whether its value is meaningful and comparable, and determine which analyses or changes it can support.", "definition": "Orbital inclination is the dihedral angle between an orbiting body's orbital plane and a declared reference plane, reported in [0°, 180°] so that values above 90° encode retrograde motion, and computed from the specific angular-momentum vector as i = arccos(h_z / |h|).", "scope_statement": "This model owns orbital inclination as the orientation angle between an orbit's angular-momentum direction and the positive normal of a declared reference plane, including its conventions, validity, uncertainty, evolution and role in decisions.", "in_scope": [ "The orbit, central body and reference plane to which an inclination belongs", "Angle value, units, direction conventions and orbital-element representation", "Epoch, validity interval, uncertainty and derivation of inclination", "Inclination evolution and conditional orbital classifications", "Inclination requirements, comparisons and constraints on changing it" ], "out_of_scope": [ "The complete orbital state and the other orbital elements", "Central-body shape, gravity and rotation models", "Spacecraft attitude and axial obliquity", "Full maneuver design, propulsion capability and fuel budgeting", "Complete ground-track, coverage, eclipse or mission-performance models" ], "distinguishing_features": [ "Inclination measures the tilt of an orbital angular-momentum direction relative to a reference-plane normal; it does not specify the ascending node's direction within that plane.", "Inclination belongs to an orbit, whereas axial obliquity and spacecraft attitude describe the orientation of a body's rotation axis or body frame.", "Inclination is not instantaneous latitude: an orbiting body changes position around its orbit without necessarily changing inclination.", "Inclination is reference-plane dependent; equal numeric values measured against different planes need not describe equal orbital tilts.", "Equal inclinations do not establish a shared orbital plane because the ascending-node directions may differ." ], "characteristics": [ { "name": "Subject orbit", "kind": "relation", "unit_or_values": "Orbiting entity or trajectory segment, central body and orbit-state reference", "why_it_matters": "Identifies which relative motion supplies the orbital angular momentum." }, { "name": "Inclination angle", "kind": "measurement", "unit_or_values": "Degrees or radians; conventionally 0-180 degrees or 0-π radians", "why_it_matters": "Records the orbital tilt while retaining the distinction between opposite directions of motion." }, { "name": "Reference plane and positive normal", "kind": "relation", "unit_or_values": "Named plane, defining frame, positive-normal convention and applicable reference epoch", "why_it_matters": "Makes the angle interpretable and prevents comparisons between incompatible reference systems." }, { "name": "Element representation", "kind": "category", "unit_or_values": "Osculating, mean under a named averaging theory, or another explicitly defined representation", "why_it_matters": "Values from different element representations may differ without either being erroneous." }, { "name": "Epoch and validity", "kind": "state", "unit_or_values": "Evaluation epoch with time scale, validity interval and any reference-plane epoch", "why_it_matters": "Distinguishes when the angle applies from when its reference plane is defined." }, { "name": "Derivation", "kind": "relation", "unit_or_values": "Source element set, state-vector calculation, orbit determination or propagation result, with method reference", "why_it_matters": "Supports reproduction and explains differences between reported values." }, { "name": "Inclination uncertainty", "kind": "measurement", "unit_or_values": "Angular uncertainty with statistical meaning, interval or linked covariance", "why_it_matters": "Determines whether differences and classification boundaries are significant." }, { "name": "Directional class", "kind": "category", "unit_or_values": "Prograde, polar, retrograde or unresolved relative to a declared normal and tolerance", "why_it_matters": "Supports directional interpretation without assuming an unstated reference convention." }, { "name": "Inclination trend", "kind": "measurement", "unit_or_values": "Angular change or angular rate over a stated interval under a named model", "why_it_matters": "Distinguishes a single reported angle from secular or periodic evolution." }, { "name": "Inclination requirement", "kind": "relation", "unit_or_values": "Target angle or allowed band, reference convention, applicable time interval and decision owner", "why_it_matters": "Connects the measured or predicted inclination to a concrete acceptance or action criterion." } ], "affordances": [ "Validate that an inclination has sufficient orbit, reference-plane and epoch context to be interpreted.", "Derive inclination from compatible position and velocity vectors when orbital angular momentum is well defined.", "Compare inclinations after reconciling reference systems, element representations and evaluation epochs.", "Classify orbital tilt and direction using declared tolerances and uncertainty.", "Evaluate a measured or predicted inclination against a time-specific requirement.", "Identify the additional orbital and vehicle information needed to assess an inclination-changing maneuver." ] }, "sources": [ { "id": "wikipedia-orbital-inclination", "title": "Orbital inclination", "url": "https://en.wikipedia.org/wiki/Orbital_inclination", "what_it_supports": "Specialist definition, 0-180° prograde/polar/retrograde convention, critical inclination 63.4°, arccos(h_z/|h|) formula, and ecliptic vs equatorial vs invariable-plane values for Solar-System bodies", "url_status": "live" }, { "id": "nasa-basics-ch5", "title": "Chapter 5: Planetary Orbits (Basics of Space Flight)", "url": "https://science.nasa.gov/learn/basics-of-space-flight/chapter5-1/", "what_it_supports": "Inclination as a Keplerian element; equatorial, polar and 180° retrograde cases; GEO vs geostationary; polar mapping use; launch-energy cost of high inclination", "url_status": "live" }, { "id": "faa-describing-orbits", "title": "Describing Orbits (III.4.1.4)", "url": "https://www.faa.gov/sites/faa.gov/files/about/office_org/headquarters_offices/avs/III.4.1.4_Describing_Orbits.pdf", "what_it_supports": "Inclination as the angle between angular-momentum and fundamental-plane normals; 0-180° range; equatorial, polar, direct and indirect orbit classes", "url_status": "blocked" }, { "id": "ccsds-sana-oe", "title": "SANA registry: Orbital Elements", "url": "https://sanaregistry.org/r/orbital_elements/", "what_it_supports": "CCSDS Keplerian six-element set including inclination i; equinoctial sets that move the 0°/180° singularity", "url_status": "live" }, { "id": "wikipedia-reference-plane", "title": "Orbital plane of reference", "url": "https://en.wikipedia.org/wiki/Orbital_plane_of_reference", "what_it_supports": "Which reference plane inclination is measured against: ecliptic/invariable, body equator, local Laplace plane, or sky plane", "url_status": "live" }, { "id": "orbital-radar-inclination", "title": "What Is Orbital Inclination? Orbit Angle Explained", "url": "https://orbitalradar.com/glossary/inclination", "what_it_supports": "Operational values (ISS 51.6°, GEO 0°, SSO ≈98°, Molniya 63.4°); launch-site latitude constraint; coverage band equals inclination", "url_status": "live" }, { "id": "mcdowell-orbcat", "title": "Orbital Categories", "url": "https://planet4589.org/space/log/orbcat.html", "what_it_supports": "Catalog practice that bins Earth orbits by inclination (equatorial, intermediate, polar, sun-synchronous, retrograde, inclined GEO)", "url_status": "live" }, { "id": "wikipedia-axial-tilt", "title": "Axial tilt", "url": "https://en.wikipedia.org/wiki/Axial_tilt", "what_it_supports": "Neighbour distinction: obliquity is spin axis versus orbital axis of the same body, not orbit versus an external reference plane", "url_status": "live" } ], "structure": { "bundles": [ { "id": "orbit-and-reference", "name": "Orbit and reference", "description": "Establishes whose orbital tilt is described and the geometric reference that gives it meaning.", "rationale": "An inclination value is ambiguous without a subject orbit and an oriented reference plane.", "layers": [ { "id": "subject-motion", "name": "Subject motion", "description": "Identifies the relative trajectory used to define the orbital plane.", "findings": [ { "id": "orbit-attachment", "name": "Orbit attachment", "description": "The inclination must attach to a specified orbit or trajectory segment relative to a specified central body.", "questions": [ { "text": "Which orbiting entity, central body and trajectory segment does this inclination describe?", "kind": "definition", "id": "orbit-attachment-q01" }, { "text": "Which orbit solution or state record establishes that relative motion?", "kind": "provenance", "id": "orbit-attachment-q02" } ] } ] }, { "id": "oriented-reference-plane", "name": "Oriented reference plane", "description": "Defines the plane and positive normal against which orbital angular momentum is compared.", "findings": [ { "id": "reference-plane-definition", "name": "Reference-plane definition", "description": "The reference plane requires an identifiable frame, normal direction and any applicable epoch dependence.", "questions": [ { "text": "Is inclination measured against an equatorial, ecliptic, invariable, observer-defined or other explicitly specified plane?", "kind": "definition", "id": "reference-plane-definition-q01" }, { "text": "How are the plane's positive normal, reference frame and reference epoch defined?", "kind": "definition", "id": "reference-plane-definition-q02" }, { "text": "Does this reference plane remain fixed or change with time under the adopted convention?", "kind": "boundary", "id": "reference-plane-definition-q03" } ] } ] } ] }, { "id": "angle-and-representation", "name": "Angle and representation", "description": "Records the numerical angle and the element conventions needed to interpret it.", "rationale": "Unit, direction and averaging conventions can make apparently similar inclination values describe different quantities.", "layers": [ { "id": "angular-convention", "name": "Angular convention", "description": "Makes the angle's range, units and directional information explicit.", "findings": [ { "id": "inclination-value", "name": "Inclination value", "description": "Conventional inclination uses the angle between orbital angular momentum and the declared positive reference normal.", "questions": [ { "text": "What inclination value and angular unit are recorded?", "kind": "measurement", "id": "inclination-value-q01" }, { "text": "Does the source use the conventional 0-180 degree range, or a different convention that must be translated?", "kind": "definition", "id": "inclination-value-q02" }, { "text": "Does the supplied value preserve the distinction between prograde and retrograde motion?", "kind": "boundary", "id": "inclination-value-q03" } ] } ] }, { "id": "element-semantics", "name": "Element semantics", "description": "Separates instantaneous orbital geometry from model-dependent averaged elements.", "findings": [ { "id": "osculating-or-mean", "name": "Osculating or mean", "description": "An inclination must identify whether it belongs to osculating elements, mean elements or another defined representation.", "questions": [ { "text": "Is this inclination osculating, mean or defined by another element representation?", "kind": "definition", "id": "osculating-or-mean-q01" }, { "text": "Which averaging theory, orbit format or propagation method defines the supplied representation?", "kind": "provenance", "id": "osculating-or-mean-q02" } ] } ] } ] }, { "id": "evidence-and-validity", "name": "Evidence and validity", "description": "Establishes how the inclination was obtained and when its precision and geometry support use.", "rationale": "An agent must distinguish a usable orbital estimate from an unsupported, stale or geometrically undefined angle.", "layers": [ { "id": "derivation-and-time", "name": "Derivation and time", "description": "Connects the inclination to reproducible inputs and an evaluation epoch.", "findings": [ { "id": "recoverable-estimate", "name": "Recoverable estimate", "description": "The estimate needs source inputs, a derivation method and time context sufficient to interpret or reproduce it.", "questions": [ { "text": "Which source element set, orbit determination result or position-and-velocity state produced this inclination?", "kind": "provenance", "id": "recoverable-estimate-q01" }, { "text": "At what epoch and time scale does the value apply, and over what interval is its use justified?", "kind": "measurement", "id": "recoverable-estimate-q02" }, { "text": "If derived from state vectors, were relative position, velocity and the reference normal expressed in compatible frames?", "kind": "provenance", "id": "recoverable-estimate-q03" } ] } ] }, { "id": "uncertainty-and-degeneracy", "name": "Uncertainty and degeneracy", "description": "Records limits caused by estimation error and special orbital geometries.", "findings": [ { "id": "meaningful-angle", "name": "Meaningful angle", "description": "Zero orbital angular momentum leaves inclination undefined; an equatorial orbit can retain a defined inclination while its ascending-node direction is undefined.", "questions": [ { "text": "Is orbital angular momentum nonzero and sufficiently resolved to support a stable inclination estimate?", "kind": "boundary", "id": "meaningful-angle-q01" }, { "text": "What uncertainty, confidence meaning or covariance supports the reported angular precision?", "kind": "measurement", "id": "meaningful-angle-q02" }, { "text": "Near an equatorial configuration, has undefined or poorly resolved node longitude been kept distinct from inclination validity?", "kind": "boundary", "id": "meaningful-angle-q03" } ] } ] } ] }, { "id": "classification-and-evolution", "name": "Classification and evolution", "description": "Interprets orbital direction and inclination changes without inferring a complete orbit from one angle.", "rationale": "Useful judgments require reference-dependent classifications and a distinction between tilt changes and other orbital-plane changes.", "layers": [ { "id": "tilt-classification", "name": "Tilt classification", "description": "Applies directional and near-special-angle labels under explicit conventions.", "findings": [ { "id": "qualified-orbit-class", "name": "Qualified orbit class", "description": "Prograde, polar, retrograde and near-equatorial labels depend on the declared reference normal and any numerical tolerance.", "questions": [ { "text": "Relative to the declared positive normal, is the inclination below, at or above 90 degrees?", "kind": "measurement", "id": "qualified-orbit-class-q01" }, { "text": "What tolerance and uncertainty rule justify labels such as near-polar or near-equatorial?", "kind": "boundary", "id": "qualified-orbit-class-q02" } ] } ] }, { "id": "inclination-history", "name": "Inclination history", "description": "Distinguishes actual or predicted tilt evolution from convention changes and node motion.", "findings": [ { "id": "comparable-time-series", "name": "Comparable time series", "description": "Inclination trends require compatible references and representations; nodal precession alone does not establish changing inclination.", "questions": [ { "text": "After reconciling frames and element representations, what inclination change is resolved over the stated interval?", "kind": "measurement", "id": "comparable-time-series-q01" }, { "text": "Does the apparent change reflect orbital tilt, motion of the reference plane, or a change in the reporting convention?", "kind": "provenance", "id": "comparable-time-series-q02" }, { "text": "Which perturbation or maneuver model supports any predicted inclination trend?", "kind": "provenance", "id": "comparable-time-series-q03" } ] } ] } ] }, { "id": "requirements-and-actions", "name": "Requirements and actions", "description": "Connects inclination to acceptance criteria, comparison limits and requests for orbital change.", "rationale": "Inclination can support decisions only when the target and the limits of what one angle establishes are explicit.", "layers": [ { "id": "inclination-acceptance", "name": "Inclination acceptance", "description": "Evaluates the angle against a requirement expressed in compatible terms.", "findings": [ { "id": "target-band-assessment", "name": "Target-band assessment", "description": "A compliance judgment requires a target or band, evaluation interval and treatment of uncertainty.", "questions": [ { "text": "What target inclination or allowed band applies, in which reference plane and element representation?", "kind": "definition", "id": "target-band-assessment-q01" }, { "text": "Must the requirement hold at one epoch or throughout an interval, and how does uncertainty affect acceptance?", "kind": "boundary", "id": "target-band-assessment-q02" }, { "text": "What review or action is authorized if the inclination falls outside that requirement?", "kind": "action", "id": "target-band-assessment-q03" } ] } ] }, { "id": "plane-comparison-and-change", "name": "Plane comparison and change", "description": "Identifies the additional geometry and capability needed for plane matching or inclination adjustment.", "findings": [ { "id": "action-sufficiency", "name": "Action sufficiency", "description": "Inclination difference alone generally does not determine the angle between two orbital planes or the cost of changing between them.", "questions": [ { "text": "Does the intended action require only a target inclination, or a complete target-plane orientation including node direction?", "kind": "action", "id": "action-sufficiency-q01" }, { "text": "Are compatible angular-momentum directions or ascending-node longitudes available to assess the actual plane separation?", "kind": "measurement", "id": "action-sufficiency-q02" }, { "text": "Which orbital speed, maneuver-location, propulsion and timing inputs must be handed to a maneuver model before feasibility can be judged?", "kind": "action", "id": "action-sufficiency-q03" } ] } ] } ] }, { "id": "evidence-and-external-alignment", "name": "Evidence and external alignment", "description": "What the world already says about this thing, gathered so the model can be checked against it.", "rationale": "A model that cannot be lined up against existing standards, identifiers and practice cannot be adopted by anyone who already uses them.", "layers": [ { "id": "reported-evidence", "name": "Reported evidence", "description": "Findings from the breadth pass, kept separate from the structural claims.", "findings": [ { "id": "evidence-kinds", "name": "Kinds and varieties", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ "Equatorial (i = 0° prograde, or 180° retrograde): the orbit lies in the reference equator", "Prograde / direct (0° ≤ i < 90°): motion with the central body's rotation", "Polar (i = 90°): the orbit plane is perpendicular to the equator and overflies both poles", "Retrograde (90° < i ≤ 180°): motion against the central body's rotation", "Sun-synchronous (Earth LEO typically i ≈ 96-99°): nodal precession is tuned to the mean solar year", "Critical-inclination / frozen-perigee (i ≈ 63.4° or 116.6°): first-order apsidal precession vanishes (Molniya, Tundra)", "Inclined geosynchronous: GEO period with i ≳ 3°, producing a north-south figure-8 on the sky", "Sky-plane (observer) inclination: extrasolar convention in which i = 90° is edge-on and i = 0° is face-on" ], "questions": [ { "id": "evidence-kinds-q01", "text": "Which of these kinds and varieties hold for the sense of orbital inclination this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-identifiers", "name": "Identifiers and schemes", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ { "scheme": "Wikidata", "value_or_pattern": "Q185169", "note": "Item 'orbital inclination'" }, { "scheme": "Keplerian element symbol", "value_or_pattern": "i", "note": "Classical sixth-element set (a, e, i, Ω, ω, ν or M)" }, { "scheme": "NORAD/NASA two-line element (TLE)", "value_or_pattern": "Line 2, columns 9-16, degrees as PPP.PPPP", "note": "Earth-satellite catalog format; inclination at epoch" }, { "scheme": "CCSDS SANA orbital-element set KEPLERIAN", "value_or_pattern": "OID 1.3.112.4.57.5.11; element i in degrees", "note": "Standardized six-element classical set" } ], "questions": [ { "id": "evidence-identifiers-q01", "text": "Which of these identifiers and schemes hold for the sense of orbital inclination this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-standards-and-regulation", "name": "Standards and regulation", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ "CCSDS / SANA Orbital Elements registry (MOIMS NAV): Keplerian set includes inclination; equinoctial sets add a retrograde factor because classical i is singular at 0° and 180°", "USSPACECOM/NASA two-line element specification: inclination is a required Earth-satellite catalog field", "IAU reference-plane conventions: inclination of Solar-System bodies is reported to the ecliptic, body equator, invariable plane or local Laplace plane, and the plane must be stated", "FAA/NASA orbital-mechanics training (Describing Orbits): binds the operational 0-180° prograde/retrograde convention used in US flight dynamics" ], "questions": [ { "id": "evidence-standards-and-regulation-q01", "text": "Which of these standards and regulation hold for the sense of orbital inclination this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-real-world-use", "name": "Real-world use", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ "Sets the latitude band a satellite can overfly: ground-track extrema equal ±i", "Launch design: a rocket cannot reach i below the launch-site latitude without a costly plane change; Cape Canaveral naturally yields ~28.5°, Baikonur the ISS 51.6° orbit, Vandenberg polar/SSO, Palmachim westward ~141°", "Mission classes: GEO TV/weather at i ≈ 0°; GPS at 55°; Starlink main shell ~53°; Molniya high-latitude comms at 63.4°; Earth-observation SSO at ~98°", "Sun-synchronous imaging: a few degrees of retrograde tilt makes Earth's J2 precession match the solar year so lighting geometry repeats", "End-of-life GEO: operators stop north-south station-keeping and let i grow, saving fuel at the cost of a figure-8 track that only tracking antennas can follow", "Cataloguing and conjunction assessment: TLE/ODM ephemerides carry i; polar and SSO shells crowd near the poles" ], "questions": [ { "id": "evidence-real-world-use-q01", "text": "Which of these real-world use hold for the sense of orbital inclination this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-measurements", "name": "Typical measurements", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ { "quantity": "Inclination i", "typical_range": "0 to 180 (Earth ops cluster at 0, ~28.5, 51-55, 63.4, 90, 96-99, ~141)", "unit": "degree" }, { "quantity": "Heliocentric inclination to the ecliptic (major planets)", "typical_range": "0 (Earth, by definition) to about 7 (Mercury); Pluto ~17, Pallas ~35", "unit": "degree" }, { "quantity": "Sun-synchronous LEO inclination", "typical_range": "about 96 to 105, most imaging at 96-99 depending on altitude", "unit": "degree" }, { "quantity": "Critical inclination (frozen argument of perigee)", "typical_range": "63.4 and the retrograde mirror 116.6", "unit": "degree" }, { "quantity": "GEO station-kept inclination", "typical_range": "0 to about 0.1 while fuel lasts; then 3 to 15+ as an inclined GEO", "unit": "degree" }, { "quantity": "Plane-change delta-v", "typical_range": "on the order of 2 v sin(Δi/2); several hundred m/s to km/s for LEO plane changes", "unit": "metre per second" } ], "questions": [ { "id": "evidence-measurements-q01", "text": "Which of these typical measurements hold for the sense of orbital inclination this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-failure-modes-and-hazards", "name": "Failure modes and hazards", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ "Wrong insertion inclination is expensive to repair: a plane change costs on the order of 2 v sin(Δi/2) and is often unaffordable in LEO", "GEO inclination growth produces a daily north-south figure-8; fixed dishes lose lock unless the operator burns fuel for station-keeping", "Off-critical Molniya/Tundra orbits let apogee walk in longitude/latitude, spoiling the high-latitude dwell the orbit was bought for", "SSO and near-polar shells create collision hot spots 7-15° from the poles because many planes intersect there", "Classical Keplerian elements are singular at i = 0° and 180° (RAAN undefined); using them there corrupts orbit determination", "Reporting i without the reference plane (equator vs ecliptic vs Laplace vs sky) yields a number that cannot be compared", "Stale TLEs: catalog inclination drifts from truth within weeks, feeding bad conjunctions" ], "questions": [ { "id": "evidence-failure-modes-and-hazards-q01", "text": "Which of these failure modes and hazards hold for the sense of orbital inclination this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-regional-variation", "name": "Regional variation", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ "Reference-plane choice is community-specific: Earth-satellite ops use the Earth's equator; planetary dynamics use the ecliptic or invariable plane; distant natural satellites use the local Laplace plane; exoplanet and binary-star work use the plane of the sky (where 90° is edge-on, the opposite of the polar-orbit sense)", "Default launch inclination follows geography and range safety: Kourou near-equatorial GEO, Cape Canaveral ~28.5°, Baikonur/ISS 51.6°, Vandenberg polar/SSO, Israeli westward launches ~141° to keep stages over water", "English ops say 'direct' or 'prograde'; German catalogs use Inklination; Japanese TLE documentation uses 軌道傾斜角" ], "questions": [ { "id": "evidence-regional-variation-q01", "text": "Which of these regional variation hold for the sense of orbital inclination this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-neighbours", "name": "Neighbouring kinds and how to tell them apart", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ { "name": "Axial tilt (obliquity)", "difference": "Obliquity is the angle between a body's spin axis and the normal to its own orbital plane; orbital inclination is that orbital plane versus an external reference plane" }, { "name": "Right ascension / longitude of the ascending node (Ω)", "difference": "Ω is the other angle that orients the same orbital plane; inclination is the tilt, Ω is the azimuth of the line of nodes" }, { "name": "Orbital plane", "difference": "The plane is the geometric object; inclination is one of two numbers that locate that plane relative to a reference" }, { "name": "Magnetic inclination (dip)", "difference": "Geomagnetic field angle at a point on Earth, unrelated to satellite or planetary orbits" }, { "name": "Ecliptic latitude", "difference": "Instantaneous angular height of a body above the ecliptic at one epoch; inclination is the fixed tilt of the whole orbit" }, { "name": "Launch-site latitude", "difference": "A lower bound on the cheapest reachable inclination, not the inclination of the orbit once on station" }, { "name": "Argument of periapsis (ω)", "difference": "Orients the ellipse inside the already-tilted plane; it does not tilt the plane" } ], "questions": [ { "id": "evidence-neighbours-q01", "text": "Which of these neighbouring kinds and how to tell them apart hold for the sense of orbital inclination this model covers, and on what evidence?", "kind": "provenance" } ] } ] } ] } ] }, "openQuestions": [ "Does the registry intend this entry to include observer-referenced inclinations used for binary stars and exoplanets, including their observational direction ambiguities?", "Which reference-plane identifiers, frame conventions and epoch conventions should Vercy recognize across planetary and spacecraft applications?", "Which mean-element theories and source formats require explicit interpretation rules before their inclinations can be compared?", "What application-specific tolerances should govern near-equatorial, near-polar and poorly resolved angular-momentum states?", "How should uncertainty spanning the 0 or 180 degree limits be represented, and when should agents use orbital-normal uncertainty instead of a scalar angular interval?" ], "statistics": { "bundles": 6, "layers": 11, "findings": 18, "questions": 35 } }, "draft": { "generator": "vr.draft.v3", "status": "draft-generated", "researched": false, "archetype": "abstract concept", "method": "Written from the archetype playbook - what this kind of thing needs beyond identity and provenance - and from the structure that recurred across 6,333 models already researched by two engines. Applied to this entry by rule. No source was read for this thing and no claim here is researched. This entry carries no facets of its own, so they were inferred from its domain - a guess about a whole domain applied to one thing.", "facetsInferred": true, "nextPass": "A researcher replaces this draft with a sourced specification. Treat every sentence below as a proposal to argue with.", "purpose": "Give an agent a durable, checkable way to recognise a orbital inclination, record what state it is in, and decide what may be done with it.", "whatItIs": "Enable an AI agent to interpret orbital inclination, assess whether its value is meaningful and comparable, and determine which analyses or changes it can support.", "characteristics": { "substance": "abstract", "origin": "conceptual", "agency": "inert" }, "whatYouCanDoWithIt": [ "observed and measured" ], "distinguishingFeatures": [ "Described in 64 Wikipedia languages, which is a measure of how widely the thing is known, not of how important it is." ], "openQuestionsForResearch": [ "Which of the bundles below does a real task actually need, and which are ceremony?", "What does this thing have that the facets do not capture at all?", "Which neighbouring kind is most often confused with a orbital inclination, and on what evidence are they told apart?" ], "whatItIsMadeOf": "an abstraction with no physical instance", "physicalCharacter": [ "Does nothing on its own; everything it does, something else did to it.", "These come from the domain this entry sits in rather than from the entry itself, so treat them as a first guess about the whole domain applied to one thing." ], "whatCanBeDoneWithIt": [ "observe it, measure it, record its state" ], "howItIsRecognised": [ "Nothing to see. What is recognised is an instance of it, and which instances count is exactly what is argued about." ], "relatedModels": [], "standing": "Described in 64 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is.", "structure": { "bundles": [ { "id": "identity-and-classification", "name": "Identity, naming and classification", "description": "How an agent tells one orbital inclination from another, and a orbital inclination from things that resemble it.", "rationale": "Recognition comes before every other claim. Without stable identity nothing else in the model can be trusted to be about the same thing twice.", "layers": [ { "id": "naming-and-identifiers", "name": "Names and identifiers", "description": "The names this thing goes by and the identifiers that survive translation and time.", "findings": [ { "id": "preferred-name-and-aliases", "name": "Preferred name, aliases and local names", "description": "Which name to use, which names mean the same thing, and which merely sound similar.", "questions": [ { "id": "preferred-name-and-aliases-q01", "text": "What identifies and describes the name of a orbital inclination, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "preferred-name-and-aliases-q02", "text": "Who or what asserted this about the name of a orbital inclination, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "preferred-name-and-aliases-q03", "text": "What may an agent decide or do once the name of a orbital inclination is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "stable-identifiers", "name": "Stable identifiers and external keys", "description": "Identifiers that keep pointing at this kind of thing across systems and languages.", "questions": [ { "id": "stable-identifiers-q01", "text": "What identifies and describes an identifier for a orbital inclination, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stable-identifiers-q02", "text": "Who or what asserted this about an identifier for a orbital inclination, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stable-identifiers-q03", "text": "What may an agent decide or do once an identifier for a orbital inclination is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "classification-and-granularity", "name": "Classification and granularity", "description": "Where a orbital inclination sits among kinds, and how finely a task needs to cut it.", "findings": [ { "id": "kind-and-parents", "name": "Kind, parents and neighbouring kinds", "description": "The classes this thing belongs to and the ones it is next to.", "questions": [ { "id": "kind-and-parents-q01", "text": "What identifies and describes the kind of a orbital inclination, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "kind-and-parents-q02", "text": "Who or what asserted this about the kind of a orbital inclination, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "kind-and-parents-q03", "text": "What may an agent decide or do once the kind of a orbital inclination is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "distinguishing-features", "name": "Distinguishing features", "description": "What separates a orbital inclination from the things most often confused with it.", "questions": [ { "id": "distinguishing-features-q01", "text": "What identifies and describes what distinguishes a orbital inclination, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "distinguishing-features-q02", "text": "Who or what asserted this about what distinguishes a orbital inclination, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "distinguishing-features-q03", "text": "What may an agent decide or do once what distinguishes a orbital inclination is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "state-and-lifecycle", "name": "State and lifecycle", "description": "The states a orbital inclination passes through and the events that move it between them.", "rationale": "Most decisions about a thing depend on what state it is in now, which is a claim with a time on it, not a property.", "layers": [ { "id": "lifecycle-stages", "name": "Lifecycle stages", "description": "From coming into existence to ceasing to be one of these.", "findings": [ { "id": "stages-and-transitions", "name": "Stages and transitions", "description": "The stages worth naming and what moves a orbital inclination between them.", "questions": [ { "id": "stages-and-transitions-q01", "text": "What identifies and describes the lifecycle of a orbital inclination, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stages-and-transitions-q02", "text": "Who or what asserted this about the lifecycle of a orbital inclination, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stages-and-transitions-q03", "text": "What may an agent decide or do once the lifecycle of a orbital inclination is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "observations-and-status", "name": "Observations and current status", "description": "What is observed about a orbital inclination, how often and by whom.", "findings": [ { "id": "observation-record", "name": "Observation record", "description": "How an observation of a orbital inclination is recorded so that it can be superseded rather than overwritten.", "questions": [ { "id": "observation-record-q01", "text": "What identifies and describes an observation of a orbital inclination, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "observation-record-q02", "text": "Who or what asserted this about an observation of a orbital inclination, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "observation-record-q03", "text": "What may an agent decide or do once an observation of a orbital inclination is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "definitions-in-contest", "name": "Definitions and who holds them", "description": "What orbital inclination is taken to mean, and by whom.", "rationale": "When a field disagrees about a concept, the disagreement is the content. A model that picks one definition silently destroys the information.", "layers": [ { "id": "competing-definitions", "name": "Competing definitions", "description": "The main readings and the traditions behind them.", "findings": [ { "id": "definition-map", "name": "Definitions and their holders", "description": "Each definition with the school or body that holds it.", "questions": [ { "id": "definition-map-q01", "text": "Which definitions of orbital inclination are in use, and which tradition or body holds each?", "kind": "definition" }, { "id": "definition-map-q02", "text": "What turns on the difference between them in practice?", "kind": "boundary" } ] } ] }, { "id": "operationalisation", "name": "Operationalisation", "description": "How it is measured or applied when it has to be.", "findings": [ { "id": "operational-record", "name": "Measures and proxies", "description": "Instruments and indicators used to stand in for it.", "questions": [ { "id": "operational-record-q01", "text": "How is orbital inclination operationalised or measured in practice, and by what instrument?", "kind": "measurement" }, { "id": "operational-record-q02", "text": "What does that operationalisation leave out, and when does that matter?", "kind": "boundary" } ] } ] } ] }, { "id": "instances-and-use", "name": "Instances, use and consequence", "description": "What counts as an instance of orbital inclination and what follows from calling something that.", "rationale": "Applying a concept is an act with consequences, so a model must say what the label licenses and what it does not.", "layers": [ { "id": "instances", "name": "What counts as an instance", "description": "Clear cases, borderline cases and non-cases.", "findings": [ { "id": "instance-tests", "name": "Tests for an instance", "description": "What would settle whether something falls under it.", "questions": [ { "id": "instance-tests-q01", "text": "What would settle whether something is an instance of orbital inclination?", "kind": "boundary" }, { "id": "instance-tests-q02", "text": "Which borderline cases are argued about, and on what grounds?", "kind": "definition" } ] } ] }, { "id": "consequence", "name": "Consequence of application", "description": "Rights, duties or decisions that follow from the label.", "findings": [ { "id": "consequence-record", "name": "What the label licenses", "description": "What an agent may do once something is classified this way.", "questions": [ { "id": "consequence-record-q01", "text": "What follows practically once something is treated as orbital inclination?", "kind": "action" }, { "id": "consequence-record-q02", "text": "What must an agent not infer from the label alone?", "kind": "action" } ] } ] } ] }, { "id": "provenance-and-evidence", "name": "Provenance, evidence and time", "description": "Where every claim about a orbital inclination came from and when it held.", "rationale": "A claim without a source and a time cannot be superseded, only overwritten, and an agent that overwrites loses the ability to explain itself.", "layers": [ { "id": "source-and-authority", "name": "Source and authority", "description": "Who said it, on what evidence, and how strongly.", "findings": [ { "id": "claim-provenance", "name": "Claim provenance and confidence", "description": "The authority behind each claim about a orbital inclination and how confident it is.", "questions": [ { "id": "claim-provenance-q01", "text": "What identifies and describes a claim about a orbital inclination, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "claim-provenance-q02", "text": "Who or what asserted this about a claim about a orbital inclination, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "claim-provenance-q03", "text": "What may an agent decide or do once a claim about a orbital inclination is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "time-and-versions", "name": "Time, versions and supersession", "description": "When a claim was true, when it was learnt, and what replaced it.", "findings": [ { "id": "validity-and-supersession", "name": "Validity period and supersession", "description": "How an old claim about a orbital inclination is retired without being erased.", "questions": [ { "id": "validity-and-supersession-q01", "text": "What identifies and describes the validity of a claim about a orbital inclination, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "validity-and-supersession-q02", "text": "Who or what asserted this about the validity of a claim about a orbital inclination, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "validity-and-supersession-q03", "text": "What may an agent decide or do once the validity of a claim about a orbital inclination is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] } ] }, "statistics": { "bundles": 5, "layers": 10, "findings": 12, "questions": 32 } } } }