Modern light on ancient feud: Robert Hooke and Newton's graphical method

DOI10.1016/j.hm.2021.11.002OpenAlexW3170945594MaRDI QIDQ2099361

Siu A. Chin

Publication date: 23 November 2022

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.07082

zbMATH Keywords

symplectic integratorNewton-Hooke disputeNewton's graphical construction

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Development of contemporary mathematics (01A65) Celestial mechanics (70F15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) History of mathematics in the 17th century (01A45) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

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• Recent progress in the theory and application of symplectic integrators
• Exact evolution of time-reversible symplectic integrators and their phase errors for the harmonic oscillator
• Hooke's September 1685 ellipse vertices construction and Newton's instantaneous impulse construction
• On Hooke's 1685 manuscript on orbital mechanics
• Kepler, Newton and numerical analysis
• Symplectic integration of Hamiltonian systems
• Dismantling a centuries-old myth: Newton’s P r i n c i p i a and inverse-square orbits
• Geometric numerical integration illustrated by the Störmer–Verlet method
• Hooke and the Law of Universal Gravitation: A Reappraisal af a Reappraisal
• Hooke versus Newton

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