Titius–Bode law
E409157
The Titius–Bode law is an 18th-century empirical rule that approximates the distances of planets from the Sun using a simple numerical sequence, historically noted for roughly predicting the positions of several known planets and the asteroid belt.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Titius–Bode law canonical | 2 |
| Bode’s law | 1 |
| Titius–Bode rule | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4050187 — 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: Titius–Bode law Context triple: [Johann Elert Bode, knownFor, Titius–Bode law]
-
A.
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.
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B.
Laplace resonance
Laplace resonance is a three-body orbital resonance in which the orbital periods of Jupiter’s moons Io, Europa, and Ganymede are linked in a precise 1:2:4 ratio, strongly affecting their dynamics and internal heating.
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C.
Kirkwood gaps
Kirkwood gaps are regions in the asteroid belt with a noticeably low density of asteroids, caused by orbital resonances with Jupiter.
-
D.
Keppler
Keppler is a German surname most notably associated with Wilhelm Keppler, an industrialist and early economic adviser to Adolf Hitler.
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E.
Tychonic system
The Tychonic system is a historical hybrid model of the cosmos in which Earth is stationary at the center while the Sun orbits Earth and the other planets orbit the Sun, proposed as a compromise between geocentric and heliocentric theories.
- 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: Titius–Bode law Target entity description: The Titius–Bode law is an 18th-century empirical rule that approximates the distances of planets from the Sun using a simple numerical sequence, historically noted for roughly predicting the positions of several known planets and the asteroid belt.
-
A.
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.
-
B.
Laplace resonance
Laplace resonance is a three-body orbital resonance in which the orbital periods of Jupiter’s moons Io, Europa, and Ganymede are linked in a precise 1:2:4 ratio, strongly affecting their dynamics and internal heating.
-
C.
Kirkwood gaps
Kirkwood gaps are regions in the asteroid belt with a noticeably low density of asteroids, caused by orbital resonances with Jupiter.
-
D.
Keppler
Keppler is a German surname most notably associated with Wilhelm Keppler, an industrialist and early economic adviser to Adolf Hitler.
-
E.
Tychonic system
The Tychonic system is a historical hybrid model of the cosmos in which Earth is stationary at the center while the Sun orbits Earth and the other planets orbit the Sun, proposed as a compromise between geocentric and heliocentric theories.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
astronomical rule
ⓘ
empirical rule ⓘ mathematical law ⓘ |
| appliesTo | Solar System ⓘ |
| appliesToBodyType |
asteroid belt
ⓘ
dwarf planets ⓘ planets ⓘ |
| approximationQuality | rough ⓘ |
| basedOn | numerical sequence ⓘ |
| characteristic |
approximate
ⓘ
empirical ⓘ |
| comparedWith | other planetary spacing laws ⓘ |
| consideredAs | numerological relation by many modern astronomers ⓘ |
| describes | approximate distances of planets from the Sun ⓘ |
| discussedIn | history of astronomy ⓘ |
| domain | planetary systems ⓘ |
| field |
astronomy
ⓘ
celestial mechanics ⓘ |
| formulatedInCentury | 18th century ⓘ |
| formulatedInYearApprox | 1766 ⓘ |
| givesRelationBetween | planetary orbital semi-major axes and a simple integer sequence ⓘ |
| hasAlternativeName |
Titius–Bode law
ⓘ
surface form:
Bode’s law
Titius–Bode law ⓘ
surface form:
Titius–Bode rule
|
| hasDebate | whether it reflects underlying dynamical processes ⓘ |
| hasImpact | motivated 19th-century asteroid searches ⓘ |
| hasInfluenced | historical development of planetary discovery strategies ⓘ |
| hasTypeOfSequence | geometric progression with offset ⓘ |
| historicallyPredicted |
position of Ceres
ⓘ
position of Uranus ⓘ |
| inspired | search for missing planet between Mars and Jupiter ⓘ |
| isExampleOf | empirical pattern in orbital architecture ⓘ |
| lacks | widely accepted physical derivation ⓘ |
| mathematicalForm | a = 0.4 + 0.3 × 2^n (in astronomical units) ⓘ |
| namedAfter |
Johann Daniel Titius
ⓘ
Johann Elert Bode ⓘ |
| originallyProposedBy | Johann Daniel Titius ⓘ |
| parameter | n integer index for planetary order ⓘ |
| popularizedBy | Johann Elert Bode ⓘ |
| predictsPoorly |
orbit of Neptune
ⓘ
orbit of Pluto ⓘ |
| predictsWell |
orbit of Ceres in the asteroid belt
ⓘ
Uranus ⓘ
surface form:
orbit of Uranus
orbits of Mercury, Venus, Earth, Mars ⓘ |
| relatedTo |
distribution of planetary orbits
ⓘ
planetary spacing ⓘ |
| statusInModernScience |
largely coincidental pattern
ⓘ
not a fundamental physical law ⓘ |
| usesUnit | astronomical unit ⓘ |
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: Titius–Bode law Description of subject: The Titius–Bode law is an 18th-century empirical rule that approximates the distances of planets from the Sun using a simple numerical sequence, historically noted for roughly predicting the positions of several known planets and the asteroid belt.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Bode’s law
this entity surface form:
Titius–Bode rule