弗朗索瓦·维特在等分模型中计算偏心率的方法及其在开普勒替代假说中的可能应用

IF 0.5 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Historia Mathematica Pub Date : 2022-02-01 DOI:10.1016/j.hm.2021.09.002

Christián C. Carman

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引用次数: 1

摘要

根据开普勒在《新天文学》中自己的说法，他花了五年时间试图为他的“替代性”假设找到偏心率的值。在某一时刻，他请求赫瓦特·冯·霍亨堡请求弗朗索瓦·维特帮助解决他的问题，但没有证据表明维特接受了这个请求。当时，维蒂正在创作他的未发表的《和谐之歌》。他提出了一种新的对分模型求解方法，该方法可以很容易地推广到非对分模型。在本文中，我描述了vi的方法，分析了其准确性，并展示了如何将其扩展到非等分模型，使其适用于求解开普勒问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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François Viète's method for calculating the eccentricity in a bisected model and its possible application to Kepler's Vicarious Hypothesis

According to Kepler's own words in Astronomia Nova, he invested five years trying to find the values for the eccentricities for his “vicarious” hypothesis. At some point, he asked Herwart von Hohenburg, to ask François Viète's help to solve his problem, but there is no evidence that Viète received this request. At that time, Viète was working on his unpublished Ad harmonicon coeleste. In it, he proposes a new method for bisected models, which can easily be extended to non-bisected models. In this paper, I describe Viète's method, analyze its accuracy, and show how to extend it to non-bisected models, making it suitable for solving Kepler's problem.

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来源期刊

Historia Mathematica 数学-科学史与科学哲学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

72 days

期刊介绍： Historia Mathematica publishes historical scholarship on mathematics and its development in all cultures and time periods. In particular, the journal encourages informed studies on mathematicians and their work in historical context, on the histories of institutions and organizations supportive of the mathematical endeavor, on historiographical topics in the history of mathematics, and on the interrelations between mathematical ideas, science, and the broader culture.