2005
DOI: 10.1007/s00016-004-0226-y
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Robert Hooke?s Seminal Contribution to Orbital Dynamics

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Cited by 32 publications
(13 citation statements)
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“…The existence of this device may not have been recorded because in the years just prior to 1681, Hooke stopped producing a full account of his astronomical instruments for the Royal Society, including one that described ‘all variety of Ellipses’ (Waller, ). We also know that his formulation of the physical principles for orbital motion relied on mechanical analogues, such as the conical pendulum, a ball rolling inside a half‐sphere and an inverted cone (Nauenberg, ). Although its uses are unclear, as an object in the painting, the armillary sphere provides a mechanical analogue of the diagram.…”
Section: The Armillary Spherementioning
confidence: 99%
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“…The existence of this device may not have been recorded because in the years just prior to 1681, Hooke stopped producing a full account of his astronomical instruments for the Royal Society, including one that described ‘all variety of Ellipses’ (Waller, ). We also know that his formulation of the physical principles for orbital motion relied on mechanical analogues, such as the conical pendulum, a ball rolling inside a half‐sphere and an inverted cone (Nauenberg, ). Although its uses are unclear, as an object in the painting, the armillary sphere provides a mechanical analogue of the diagram.…”
Section: The Armillary Spherementioning
confidence: 99%
“…Hooke was at the time probably aware of De Motu , but his treatment in the 1685 manuscript was different. Hooke demonstrated the converse, using the math ‘in a novel way to obtain the orbit of a body moving in an attractive central field of force that varies linearly with distance’ (Nauenberg, ). This was what both Hooke and Newton had set out to do, but Newton did not specifically state a case for extending his proofs to the converse until he commented on it in the second edition of Principia Mathematica (Whiteside, ).…”
Section: The Disputementioning
confidence: 99%
“…A extensão da contribuição de Hooke para a mecânica de Newton em geral, e para o entendimento e a enunciação da Lei da Gravitação Universal em particular,é objeto de amplo debate acadêmico ainda hoje [19], debate aliás iniciado pelo próprio Hooke com sua reclamação de prioridade na descoberta da referida Lei. Esse debateé tão amplo que uma exposição mais aprofundada mereceria uma abordagemà parte, que foge aos objetivos deste trabalho.…”
Section: ]unclassified
“…In 1679, Robert Hooke (Nauenberg 2005) wrote to Isaac Newton asking him …and particularly if you will let me know your thoughts of that of compounding the celestiall motions of the planetts of a direct motion by the tangent & an attractive motion towards the centrall body (Newton 1960) In the Principia, Newton took a great step forward by extending the application of Euclidean geometry to the concept of force impulses which he represented by line segments that in a limit have vanishing small magnitude, 1 leading to the emergence of a finite and continuous force. Such evanescent quantities appeared already in Greek geometry, in the method of exhaustion which, for example, was applied by Archimedes to obtain a rigorous relations between the circumference and the area of a circle, as well as bounds for these quantities that he calculated algebraically.…”
Section: Nauenberg (B)mentioning
confidence: 99%