Kepler’s laws of planetary motion
E31644
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.
All labels observed (14)
How this entity was disambiguated
This entity first appeared as the object of triple T244454 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Kepler’s laws of planetary motion Context triple: [law of universal gravitation, explains, Kepler’s laws of planetary motion]
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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.
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B.
law of universal gravitation
The law of universal gravitation is Newton’s fundamental physical law stating that every pair of masses in the universe attracts each other with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
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C.
Ptolemaic system
The Ptolemaic system is an ancient geocentric cosmological model that places Earth at the center of the universe with the Sun, Moon, and planets moving around it in complex circular paths.
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D.
De revolutionibus orbium coelestium
De revolutionibus orbium coelestium is Nicolaus Copernicus’s seminal 1543 work that introduced the heliocentric model of the universe, fundamentally transforming astronomy and natural philosophy.
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E.
Philosophiæ Naturalis Principia Mathematica
Philosophiæ Naturalis Principia Mathematica is Isaac Newton’s foundational work that formulated the laws of motion and universal gravitation, becoming a cornerstone of classical physics and the Scientific Revolution.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Kepler’s laws of planetary motion Target entity description: 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.
-
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.
law of universal gravitation
The law of universal gravitation is Newton’s fundamental physical law stating that every pair of masses in the universe attracts each other with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
-
C.
Ptolemaic system
The Ptolemaic system is an ancient geocentric cosmological model that places Earth at the center of the universe with the Sun, Moon, and planets moving around it in complex circular paths.
-
D.
De revolutionibus orbium coelestium
De revolutionibus orbium coelestium is Nicolaus Copernicus’s seminal 1543 work that introduced the heliocentric model of the universe, fundamentally transforming astronomy and natural philosophy.
-
E.
Philosophiæ Naturalis Principia Mathematica
Philosophiæ Naturalis Principia Mathematica is Isaac Newton’s foundational work that formulated the laws of motion and universal gravitation, becoming a cornerstone of classical physics and the Scientific Revolution.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
astronomical law
ⓘ
physical law ⓘ physical law ⓘ physical law ⓘ set of physical laws ⓘ |
| alsoKnownAs |
Kepler’s laws of planetary motion
ⓘ
surface form:
harmonic law
Kepler’s laws of planetary motion ⓘ
surface form:
law of ellipses
Kepler’s laws of planetary motion ⓘ
surface form:
law of equal areas
|
| appliesTo |
exoplanets
ⓘ
objects in bound Keplerian orbits ⓘ planets in the Solar System ⓘ satellites ⓘ |
| approximateFormulationStartYear | 1605 ⓘ |
| approximatePublicationYear | 1609 ⓘ |
| assumes |
Sun at or near focus of planetary orbits
ⓘ
two-body problem approximation ⓘ |
| basedOn |
observations of Mars
ⓘ
observations of Tycho Brahe ⓘ |
| describes |
relationship between orbital period and semi-major axis
ⓘ
shape of planetary orbits ⓘ variation of orbital speed ⓘ |
| explainedBy | Newton’s law of universal gravitation ⓘ |
| field |
astronomy
ⓘ
astrophysics ⓘ celestial mechanics ⓘ |
| formulatedBy | Johannes Kepler ⓘ |
| furtherPublicationYear | 1619 ⓘ |
| historicalPeriod | Scientific Revolution ⓘ |
| implies | conservation of angular momentum for orbital motion ⓘ |
| involvesConcept |
areal velocity
ⓘ
ellipse ⓘ focus of an ellipse ⓘ orbital period ⓘ semi-major axis ⓘ |
| mathematicalForm | T^2 ∝ a^3 ⓘ |
| numberOfLaws | 3 ⓘ |
| part |
Kepler’s laws of planetary motion
self-linksurface differs
ⓘ
surface form:
Kepler’s first law
Kepler’s laws of planetary motion self-linksurface differs ⓘ
surface form:
Kepler’s second law
Kepler’s laws of planetary motion self-linksurface differs ⓘ
surface form:
Kepler’s third law
|
| precededBy |
Copernican system
ⓘ
surface form:
Copernican heliocentric model
|
| publishedIn |
Astronomia nova
ⓘ
Harmonices Mundi ⓘ |
| refinedBy | Newtonian mechanics ⓘ |
| statement |
A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
ⓘ
The orbit of every planet is an ellipse with the Sun at one of the foci. ⓘ The square of a planet’s orbital period is proportional to the cube of the semi-major axis of its orbit. ⓘ |
| usedFor |
calculating orbital periods
ⓘ
designing spacecraft trajectories ⓘ predicting planetary positions ⓘ relating orbital size to orbital period ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Kepler’s laws of planetary motion Description of subject: 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.
Referenced by (26)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Kepler's laws of planetary motion
Kepler’s laws of planetary motion
→
part
→
Kepler’s laws of planetary motion
self-linksurface differs
ⓘ
this entity surface form:
Kepler’s first law
Kepler’s laws of planetary motion
→
part
→
Kepler’s laws of planetary motion
self-linksurface differs
ⓘ
this entity surface form:
Kepler’s second law
Kepler’s laws of planetary motion
→
part
→
Kepler’s laws of planetary motion
self-linksurface differs
ⓘ
this entity surface form:
Kepler’s third law
subject surface form:
Kepler’s first law
this entity surface form:
law of ellipses
subject surface form:
Kepler’s second law
this entity surface form:
law of equal areas
subject surface form:
Kepler’s third law
this entity surface form:
harmonic law
this entity surface form:
Kepler's first law of planetary motion
this entity surface form:
Kepler's second law of planetary motion
this entity surface form:
Kepler's laws of planetary motion
this entity surface form:
Kepler's third law of planetary motion
this entity surface form:
Kepler's third law of planetary motion
this entity surface form:
Kepler's laws of planetary motion
this entity surface form:
Kepler's laws of planetary motion
this entity surface form:
Johannes Kepler’s laws of planetary motion
subject surface form:
Book III (Principia)
this entity surface form:
Kepler's laws of planetary motion
this entity surface form:
Kepler's laws of planetary motion
this entity surface form:
Kepler's second law of planetary motion
this entity surface form:
Kepler’s second law of planetary motion
this entity surface form:
Kepler’s third law of planetary motion