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Newton's cannonball

In this experiment described near the start of his De mundi systemate, Newton visualizes a stone being projected from the top of a high mountain, and "that there is no air about the earth, or at least that it is endowed with little or no power of resisting".

Version
v1 · 2026-09-28 · History
Domain-specific #
10984
Domain group
Natural Sciences
Origin domain
Physics
Subdomains
Mechanics Pedagogy, Celestial Mechanics, Thought Experiments → Physics

Core Idea

Newton's cannonball is treated here as the recurring mechanics pedagogy identity summarized by this source-grounded definition: In this experiment described near the start of his De mundi systemate, Newton visualizes a stone being projected from the top of a high mountain, and "that there is no air about the earth, or at least that it is endowed with little or no power of resisting". , it will revolve around Earth along an elliptical orbit (C, D).

Scope of Application

  • Documented setting. Newton's cannonball was a thought experiment Isaac Newton used to hypothesize that the force of gravity was universal, and it was the key force for planetary motion.

  • Theory. As a gravitational force acts on the projectile, it will follow a different path depending on its initial velocity.

  • Theory. If the speed is low, it will simply fall back on Earth.

  • Theory. If the speed is the orbital speed at that altitude, it will go on circling around the Earth along a fixed circular orbit "and return to the mountain from which it.

  • Theory. If the speed is higher than the orbital velocity, but not high enough to leave Earth altogether (lower than the escape velocity), it will continue revolving around Earth along an elliptical.

Clarity

A clear use of Newton's cannonball names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is In this experiment described near the start of his De mundi systemate, Newton visualizes a stone being projected from the top of a high mountain, and "that there is no air about the earth, or at least that it is endowed with.

Manages Complexity

Newton's cannonball compresses multiple mechanics pedagogy details into a stable diagnostic relation. The source shows both the central mechanism—if the speed is low, it will simply fall back on Earth.—and the practical consequence—newton's original plan for Philosophiæ Naturalis Principia Mathematica was that it should consist of two books, the first analyzing basic laws of motion, and the second applying them to the Solar System.

Abstract Reasoning

  1. Type the carrier. Identify the mechanics pedagogy entities to which the claim applies.
  2. State the relation. Use the source-grounded identity: In this experiment described near the start of his De mundi systemate, Newton visualizes a stone being projected from the top of a high mountain, and "that there is no air about the earth, or at least that it is endowed with little or no power of resisting".
  3. Check operation and conditions.

Knowledge Transfer

Within the home domain. Knowledge about Newton's cannonball transfers literally when a new case preserves the same carrier type, relation, and recognition test. Newton's cannonball was a thought experiment Isaac Newton used to hypothesize that the force of gravity was universal, and it was the key force for planetary motion. As a gravitational force acts on the projectile, it will follow a different path depending on its initial velocity. Beyond the home domain. No canonical parent is asserted for Newton's cannonball.

Relationships to Other Abstractions

Local relationship map for Newton's cannonballParents appear above the current abstraction, mutual partners to the right, and children below. Node labels state whether each abstraction is prime or domain-specific; colors identify relation types.Newton's cannonballDOMAINPrime abstraction: Thought Experiment — is a kind ofThoughtExperimentPRIME

Current abstraction Newton's cannonball Domain-specific

Parents (1) — more general patterns this builds on

  • Newton's cannonball is a kind of Thought Experiment Prime

    Newton's cannonball is a thought experiment relating projectile motion to orbit.

Hierarchy paths (2) — routes to 2 parentless roots

Neighborhood in Abstraction Space

Newton's cannonball sits in a moderately populated region (50th percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.

Family — Classical Mechanics & Orbital Kinematics (12 abstractions)

Nearest neighbors

Computed from structural-signature embeddings · 2026-10-08