The article reproduces a famous illustration of Kepler's Platonic solids model of the Solar System from book Mysterium Cosmographicum. There is another beautiful illustration from his later book De Stella Nova that is relevant to the Great Conjunction that occurred just a few days ago: https://en.wikipedia.org/wiki/Great_conjunction#/media/File:...…
»Convinced that he had discovered a subtle geometric relationship between the diameters of the planetary orbits and their distances from the Sun, Kepler wrote Mysterium Cosmographicum ('the cosmic mystery'), published in 1596. The scheme worked well with the planetary distances then accepted, but even Kepler could see that it wasn't perfect. Assuming that better data on planetary orbits…
…"On 4 February 1600, Kepler met Tycho Brahe....Tycho guarded his data closely, but was impressed by Kepler's theoretical ideas and soon allowed him more access. Kepler planned to test his theory from Mysterium Cosmographicum based on the Mars data, but he estimated that the work would take up to two years (since he was not allowed to simply copy the data for his own use)."
…telescope technology, but his efforts in moving forward new models (specifically Copernican) were a dead end, and he made no practical difference to things: Kepler was already defending Copernicus in his Mysterium Cosmographicum (1e 1596), and put forward his laws in Astronomia nova (1609), a copy of which he sent to Galileo, which Galileo promptly ignored even two decades later when he published his Dialogue (1632).
…brighter the nearer we are to its source, and the same must apply to the force of the sun: the closer the planet to it, the quicker it will move. This is his instinctive conviction, already expressed in the Mysterium Cosmographicum; but now, at last, he has succeeded in proving it. In fact he has not. He has proved the inverse ratio of speed to distance only for the two extreme points of the orbit; and his extension of this ‘Law’…
让我想起了开普勒的《宇宙的奥秘》(Mysterium Cosmographicum):https://en.wikipedia.org/wiki/Mysterium_Cosmographicum
Reminds me of Kepler's Mysterium Cosmographicum: https://en.wikipedia.org/wiki/Mysterium_Cosmographicum
这篇文章重现了开普勒在《宇宙的奥秘》(Mysterium Cosmographicum)一书中关于太阳系柏拉图多面体模型的著名插图。他后来的书《新星》(De Stella Nova)中还有另一张精美的插图,与几天前刚刚发生的大合相(Great Conjunction)密切相关:https://en.wikipedia.org/wiki/Great_conjunction#/media/File:...…
The article reproduces a famous illustration of Kepler's Platonic solids model of the Solar System from book Mysterium Cosmographicum. There is another beautiful illustration from his later book De Stella Nova that is relevant to the Great Conjunction that occurred just a few days ago: https://en.wikipedia.org/wiki/Great_conjunction#/media/File:...…
“开普勒坚信自己发现了行星轨道直径与它们到太阳距离之间微妙的几何关系,于是写下了出版于1596年的《宇宙的奥秘》(Mysterium Cosmographicum,即‘宇宙的秘密’)。这个方案在当时公认的行星距离数据下运行良好,但就连开普勒自己也能看出它并不完美。假设有更好的行星轨道数据……
»Convinced that he had discovered a subtle geometric relationship between the diameters of the planetary orbits and their distances from the Sun, Kepler wrote Mysterium Cosmographicum ('the cosmic mystery'), published in 1596. The scheme worked well with the planetary distances then accepted, but even Kepler could see that it wasn't perfect. Assuming that better data on planetary orbits…
……‘1600年2月4日,开普勒见到了第谷·布拉赫……第谷对自己的数据严加看守,但开普勒的理论思想给他留下了深刻印象,很快就允许他接触更多数据。开普勒计划根据火星数据来检验他在《宇宙的奥秘》(Mysterium Cosmographicum)中的理论,但他估计这项工作需要长达两年的时间(因为他不能直接复制数据供自己使用)。’”,
…"On 4 February 1600, Kepler met Tycho Brahe....Tycho guarded his data closely, but was impressed by Kepler's theoretical ideas and soon allowed him more access. Kepler planned to test his theory from Mysterium Cosmographicum based on the Mars data, but he estimated that the work would take up to two years (since he was not allowed to simply copy the data for his own use)."
……望远镜技术,但他推动新模型(尤其是哥白尼模型)的努力是个死胡同,并没有带来任何实际的改变:开普勒早在他的《宇宙的奥秘》(Mysterium Cosmographicum,1596年第1版)中就在为哥白尼辩护,并在《新天文学》(Astronomia nova,1609年)中提出了自己的定律,他还寄了一本给伽利略,而伽利略即使在二十年后出版他的《对话》(1632年)时,也直接无视了这本书。
…telescope technology, but his efforts in moving forward new models (specifically Copernican) were a dead end, and he made no practical difference to things: Kepler was already defending Copernicus in his Mysterium Cosmographicum (1e 1596), and put forward his laws in Astronomia nova (1609), a copy of which he sent to Galileo, which Galileo promptly ignored even two decades later when he published his Dialogue (1632).
……离光源越近就越亮,太阳的引力必定也是如此:行星离它越近,运行速度就越快。这是他本能的信念,早在《宇宙的奥秘》(Mysterium Cosmographicum)中就表达过了;但现在,他终于成功证明了这一点。事实上他并没有。他只证明了轨道上两个极值点的速度与距离成反比;而他把这个‘定律’推而广之……
…brighter the nearer we are to its source, and the same must apply to the force of the sun: the closer the planet to it, the quicker it will move. This is his instinctive conviction, already expressed in the Mysterium Cosmographicum; but now, at last, he has succeeded in proving it. In fact he has not. He has proved the inverse ratio of speed to distance only for the two extreme points of the orbit; and his extension of this ‘Law’…