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Modern light on ancient feud: Robert Hooke and Newton's graphical method.
- Source :
-
Historia Mathematica . Aug2022, Vol. 60, p1-14. 14p. - Publication Year :
- 2022
-
Abstract
- The feud between Robert Hooke and Isaac Newton, 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 , has remained ongoing among their respective supporters, even after 300 years. 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 understanding of Newton's graphical method as a symplectic integrator can now shed light on whether this claim is creditable. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NEWTON-Raphson method
*ELLIPTICAL orbits
*PLANETARY orbits
*INTEGRATORS
Subjects
Details
- Language :
- English
- ISSN :
- 03150860
- Volume :
- 60
- Database :
- Academic Search Index
- Journal :
- Historia Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 159075877
- Full Text :
- https://doi.org/10.1016/j.hm.2021.11.002