Triple

T1382649
Position Surface form Disambiguated ID Type / Status
Subject Gauss’s planetary equations E29372 entity
Predicate relatedTo P37 FINISHED
Object Lagrange’s planetary equations
Lagrange’s planetary equations are a set of differential equations in celestial mechanics that describe how the orbital elements of a body evolve over time under perturbing forces.
E157396 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Lagrange’s planetary equations | Statement: [Gauss’s planetary equations, relatedTo, Lagrange’s planetary equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lagrange’s planetary equations
Context triple: [Gauss’s planetary equations, relatedTo, Lagrange’s planetary equations]
  • A. Gauss’s planetary equations
    Gauss’s planetary equations are a set of differential equations in celestial mechanics that describe how a planet’s orbital elements change over time under the influence of perturbing forces.
  • B. Mécanique céleste
    Mécanique céleste is Pierre-Simon Laplace’s landmark multi-volume treatise that reformulated celestial mechanics using Newtonian gravitation and advanced mathematical analysis, profoundly shaping modern astronomy and physics.
  • C. The Tides and Kindred Phenomena in the Solar System
    "The Tides and Kindred Phenomena in the Solar System" is a seminal scientific work by George Howard Darwin that analyzes tidal forces and related gravitational effects throughout the solar system using mathematical and physical principles.
  • D. Division on Dynamical Astronomy
    The Division on Dynamical Astronomy is a specialized branch of the American Astronomical Society focused on the study of the motions and gravitational interactions of astronomical objects.
  • E. Kepler’s laws of planetary motion
    Kepler’s laws of planetary motion are three fundamental principles that mathematically describe how planets orbit the Sun in ellipses, sweep out equal areas in equal times, and relate their orbital periods to their distances from the Sun.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Lagrange’s planetary equations
Triple: [Gauss’s planetary equations, relatedTo, Lagrange’s planetary equations]
Generated description
Lagrange’s planetary equations are a set of differential equations in celestial mechanics that describe how the orbital elements of a body evolve over time under perturbing forces.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Lagrange’s planetary equations
Target entity description: Lagrange’s planetary equations are a set of differential equations in celestial mechanics that describe how the orbital elements of a body evolve over time under perturbing forces.
  • A. Gauss’s planetary equations
    Gauss’s planetary equations are a set of differential equations in celestial mechanics that describe how a planet’s orbital elements change over time under the influence of perturbing forces.
  • B. Mécanique céleste
    Mécanique céleste is Pierre-Simon Laplace’s landmark multi-volume treatise that reformulated celestial mechanics using Newtonian gravitation and advanced mathematical analysis, profoundly shaping modern astronomy and physics.
  • C. The Tides and Kindred Phenomena in the Solar System
    "The Tides and Kindred Phenomena in the Solar System" is a seminal scientific work by George Howard Darwin that analyzes tidal forces and related gravitational effects throughout the solar system using mathematical and physical principles.
  • D. Division on Dynamical Astronomy
    The Division on Dynamical Astronomy is a specialized branch of the American Astronomical Society focused on the study of the motions and gravitational interactions of astronomical objects.
  • E. Kepler’s laws of planetary motion
    Kepler’s laws of planetary motion are three fundamental principles that mathematically describe how planets orbit the Sun in ellipses, sweep out equal areas in equal times, and relate their orbital periods to their distances from the Sun.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69a498d883a48190bfdca525296ef7ee completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c3361bf08190b3f6bbf82e17685b completed March 1, 2026, 10:52 p.m.
NED1 Entity disambiguation (via context triple) batch_69acd48c41f4819092f7e1302d803662 completed March 8, 2026, 1:44 a.m.
NEDg Description generation batch_69acd543a0ac8190b9fd5e921b5ad9ea completed March 8, 2026, 1:47 a.m.
NED2 Entity disambiguation (via description) batch_69acd5b8fa2481908fd52d94e55b6377 completed March 8, 2026, 1:49 a.m.
Created at: March 1, 2026, 7:59 p.m.