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[成人之美] 谢力教授与“霍曼转移”最优

已有 791 次阅读 2020-5-31 13:33 |系统分类:科研笔记| 谢力, 贝尔布鲁诺, Hohmann, 霍曼, 轨道

[成人之美] 谢力教授与“霍曼转移”最优

                           

   庞加莱(Jules Henri Poincaré,born April 29, 1854, Nancy, France — died July 17, 1912, Paris)貌似证明多体问题有无穷多个周期解没弄明白庞加莱老师的主要结论。哪位老师愿意给俺讲解讲解?感谢!

           

   谢力教授说:“霍曼转移 Hohmann transfer orbit 是最优的。

   德华·贝尔布鲁诺(Edward Belbruno)教授说:
   霍曼转移忽略了引力场空间的分布,地球和月球之间有一条‘弹道月球捕获’(ballistic lunar capture)轨道。

                      

PK吧!

   

谢力                      VS                      贝尔布鲁诺

真傻说:根据开普勒定律,这两幅照片的形状不一样,但是面积一样的。

        

        

Hohmann transfer         VS         Ballistic lunar capture

以上图片来自互联网。感谢有关人员!

                                        

谢力老师家的猫,拍摄于2020-01-16 13:33。来给谢力老师助威!

           
参考文献:
[1] Henri Poincaré, French mathematician, Britannica
https://www.britannica.com/biography/Henri-Poincare
   Poincaré soon realized that he could not make any headway unless he concentrated on a simpler, special case, in which two massive bodies orbit one another in circles around their common centre of gravity while a minute third body orbits them both. The third body is taken to be so small that it does not affect the orbits of the larger ones. Poincaré could establish that the orbit is stable, in the sense that the small body returns infinitely often arbitrarily close to any position it has occupied. This does not mean, however, that it does not also move very far away at times, which would have disastrous consequences for life on Earth. For this and other achievements in his essay, Poincaré was awarded the prize in 1889. But, on writing the essay for publication, Poincaré discovered that another result in it was wrong, and in putting that right he discovered that the motion could be chaotic.
[2] Oscar II, king of Sweden, Britannica
https://www.britannica.com/biography/Oscar-II
   Oscar II, in full Oscar Fredrik, (born Jan. 21, 1829, Stockholm—died Dec. 8, 1907, Stockholm), king of Sweden from 1872 to 1907 and of Norway from 1872 to 1905.
[3] 谢力,2018-07-25,那个天才告诉你“霍曼转移”最优(终结)
http://blog.sciencenet.cn/blog-669170-1125885.html
[4] 蒋迅,2018-08-27,数学家是如何帮助日本成为第三个环月国家的  精选
http://blog.sciencenet.cn/blog-420554-1131307.html
[4-2] 数学家让日本成为第三个绕月国家[J]. 蒋迅,数学文化, 8 (2017), pp. 32-42.
https://global-sci.org/intro/article_detail/mc/12022.html
[5] 霍曼转移轨道,百度百科
https://baike.baidu.com/item/%E9%9C%8D%E6%9B%BC%E8%BD%AC%E7%A7%BB%E8%BD%A8%E9%81%93

相关链接:
[1] 2020-05-30,[成人之美] “女博士在这里替自己找个男朋友”
http://blog.sciencenet.cn/blog-107667-1235647.html

                          

感谢您的指教!

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