Corpus ID: 235422502

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

  title={Modern light on ancient feud: Robert Hooke and Newton's graphical method},
  author={S. Chin},
The feud between Robert Hooke and Isaac Newton has remained ongoing even after 300 years, over whether Newton should have acknowledged Hooke’s influence on his graphical method of constructing planet orbits, the celebrated Proposition 1, Theorem 1 of the Principia. The drama has escalated in recent decades, with a claim that Hooke may have used the same method and obtained an elliptical orbit for a linear force, a feat that some considered Newton never did for the inverse-square force. Modern… Expand

Figures from this paper


Hooke, orbital motion, and Newton's Principia
A detailed analysis is given of a 1685 graphical construction by Robert Hooke for the polygonal path of a body moving in a periodically pulsed radial field of force. In this example the force variesExpand
Hooke's September 1685 Ellipse Vertices Construction and Newton's Instantaneous Impulse Construction☆
Abstract A relatively little-known 1685 manuscript by Robert Hooke provides the occasion for another chapter in the well-known controversy between Hooke and Newton on priority in the field ofExpand
Robert Hooke’s Seminal Contribution to Orbital Dynamics
Abstract.During the second half of the seventeenth century, the outstanding problem in astronomy was to understand the physical basis for Kepler’s laws describing the observed orbital motion of aExpand
Dismantling a centuries‐old myth: Newton’s Principia and inverse‐square orbits
Examination of Newton’s Principia reveals a fallacy in its purported proof of the otherwise well established fact that an inverse‐square central force acting on a particle requires that the particleExpand
Hooke and the Law of Universal Gravitation: A Reappraisal af a Reappraisal
From the very day in 1686 when Edmond Halley placed Book I of the Principia before the Royal Society, Robert Hooke's claim to prior discovery has been associated with the law of universalExpand
The Discovery of Dynamics
Preface Acknowledgements Introduction to Volumes I and II 1. Preliminaries 2. Aristotle: first airing of the absolute/relative problem 3. Hellenistic astronomy: the foundations are laid 4. The MiddleExpand
Structure of numerical algorithms and advanced mechanics
Most elementary numerical schemes found useful for solving classical trajectory problems are {\it canonical transformations}. This fact should be make more widely known among teachers ofExpand
Recent progress in the theory and application of symplectic integrators
In this paper various aspect of symplectic integrators are reviewed. Symplectic integrators are numerical integration methods for Hamiltonian systems which are designed to conserve the symplecticExpand
Stable solutions using the Euler approximation
A minor modification of the standard Euler approximation for the solution of oscillatory problems in mechanics yields solutions that are stable for arbitrarily large number of iterations, regardlessExpand
Exact evolution of time-reversible symplectic integrators and their phase errors for the harmonic oscillator
The evolution of any factorized time-reversible symplectic integrators, when applied to the harmonic oscillator, can be exactly solved in a closed form. The resulting modified HamiltoniansExpand