{"id":213867,"date":"2021-04-18T02:05:31","date_gmt":"2021-04-17T17:05:31","guid":{"rendered":"https:\/\/nijilogu.com\/?p=213867"},"modified":"2021-04-18T02:05:31","modified_gmt":"2021-04-17T17:05:31","slug":"a-new-approach-to-the-century-old-three-body-problem","status":"publish","type":"post","link":"https:\/\/nijilogu.com\/?p=213867","title":{"rendered":"A New Approach to the Century-old \u2018Three-Body Problem\u2019"},"content":{"rendered":"
<\/p>\n

Kepler-47 system. Animation: T. Pyle \/ NASA \/ JPL-Caltech<\/figcaption><\/figure>\n<\/p>\n

The \u201cthree-body problem\u201d, which has been proposed to predict the motion of three bodies moving in space by gravity, is important for understanding a wide range of mechanical problems as well as various astrophysical processes. This problem has occupied some of the world\u2019s best physicists, astronomers, and mathematicians for more than three centuries. Although the efforts of scientists have led to the birth of several important branches of science, the solution to the problem has not been found.<\/p>\n

Sir Isaac Newton succeeded in explaining the motion of the planets around the Sun with a universal law of gravity at the end of the 17th century. He also tried to explain the motion of the Moon. Since the Earth and the Sun determine the motion of the Moon; Newton dealt with the problem of predicting the motion of three bodies in space under the effects of mutual gravity, and this problem later became known as the \u201cthree-body problem\u201d.<\/p>\n

However, unlike the two-body problem, Newton could not obtain a general mathematical formula in this problem. In fact, it has been seen that the three-body problem is easy to define but difficult to solve.<\/p>\n

Now, a new study led by Professor Barak Kol of the Hebrew University of Jerusalem\u2019s Rajah Institute of Physics adds one more step to this scientific journey that started with Newton and examines the limits of scientific prediction and the role of chaos in this.<\/p>\n

The theoretical study brings a new and complete reduction to the subject by re-examining the basic concepts underlying previous theories. The research allows a precise estimate of the probability that each of the three objects will survive the system.<\/p>\n

After two centuries of fruitful research, including Newton and Euler, Lagrange, and Jacobi, the mathematician Poincare discovered at the end of the 19th century that the problem showed an extremely high sensitivity to the initial position and velocity of objects. This sensitivity, which is known as chaos and has comprehensive results, points out that there is no decisive solution in the closed form in the three-body problem.<\/p>\n

By the 20th century, the development of computers made it possible to re-examine the problem with the computer animation of the motion of objects. The simulations have shown that a three-body system under some assumptions undergoes periods of regular motion, one after another, through chaotic or random periods of motion, eventually the system dissolves, resulting in two bodies rotating in common centers of mass, and the third one either moves away or escapes.<\/p>\n

This chaotic nature shows that the closed-form solution is not only impossible, but computer simulations cannot provide specific and reliable predictions in the long run. In 1976, it was decided that the right goal was to find a static solution rather than a decisive solution. The researchers\u2019 new work presents, for the first time, a closed mathematical expression for the static solution. But like all previous static approaches, this method is based on certain assumptions. Work Celestial Mechanics and Dynamical Astronomy <\/em>published in the bulletin.<\/p>\n

Source: The Hebrew University of Jerusalem. Translated by: Ozan Zalo\u011flu.<\/em><\/p>\n

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Source: \u30a2\u30cb\u30f2\u30bf\u03b2<\/p>\n","protected":false},"excerpt":{"rendered":"

Kepler-47 system. Animation: T. Pyle \/ NASA \/ JPL-Caltech The \u201cthree-body problem\u201d, which has been proposed to … \u7d9a\u304d\u3092\u8aad\u3080 »<\/a><\/p>\n","protected":false},"author":1,"featured_media":213868,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-213867","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-1"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/nijilogu.com\/wp-content\/uploads\/2021\/04\/There-are-177147-ways-to-tie-a-tie-26.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/nijilogu.com\/index.php?rest_route=\/wp\/v2\/posts\/213867","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nijilogu.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nijilogu.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nijilogu.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nijilogu.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=213867"}],"version-history":[{"count":0,"href":"https:\/\/nijilogu.com\/index.php?rest_route=\/wp\/v2\/posts\/213867\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/nijilogu.com\/index.php?rest_route=\/wp\/v2\/media\/213868"}],"wp:attachment":[{"href":"https:\/\/nijilogu.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=213867"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nijilogu.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=213867"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nijilogu.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=213867"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}