{"73804":{"#nid":"73804","#data":{"type":"news","title":"Math Unites The Celestial And The Atomic","body":[{"value":"\u003Cp\u003EIn recent years, researchers have developed astonishing new insights into a hidden unity between the motion of objects in space and that of the smallest particles.  It turns out there is an almost perfect parallel between the mathematics describing celestial mechanics and the mathematics governing some aspects of atomic physics. These insights have led to new ways to design space missions, as described in the article, \u0022Ground Control to Niels Bohr: Exploring Outer Space with Atomic Physics\u0022 by Mason Porter and Predrag Cvitanovic, which appears in the October 2005 issue of the Notices of the American Mathematical Society.\n\u003C\/p\u003E\n\u003Cp\u003EThe article describes work by, among other scientists, physicist Turgay Uzer of the Georgia Institute of Technology, mathematician Jerrold Marsden of the California Institute of Technology and engineer Shane Ross of the University of Southern California.\n\u003C\/p\u003E\n\u003Cp\u003EImagine a group of celestial bodies-say, the Sun, the Earth, and a Spacecraft-moving along paths determined by their mutual gravitational attraction. The mathematical theory of dynamical systems describes how the bodies move in relation to one another. In such a celestial system, the tangle of gravitational forces creates tubular \u0022highways\u0022 in the space between the bodies. If the spacecraft enters one of the highways, it is  whisked along without the need to use very much energy. With help from mathematicians, engineers and physicists, the designers of the Genesis spacecraft mission used such highways to propel the craft to its destinations with minimal use of fuel.\n\u003C\/p\u003E\n\u003Cp\u003EIn a surprising twist, it turns out that some of the same phenomena occur on the smaller, atomic scale. This can be quantified in the study of what are known as \u0022transition states\u0022, which were first\u003Cbr \/\u003E\nemployed in the field of chemical dynamics. One can imagine transition states as barriers that need to be crossed in order for chemical reactions to occur (for \u0022reactants\u0022 to be turned into \u0022products\u0022). Understanding the geometry of these barriers provides insights not only into the nature of chemical reactions but also into the shape of the \u0022highways\u0022 in celestial systems.\n\u003C\/p\u003E\n\u003Cp\u003EThe connection between atomic and celestial dynamics arises because the same equations govern the movement of bodies in celestial systems and the energy levels of electrons in simple systems-and these equations are believed to apply to more complex molecular systems as well. This similarity carries over to the problems\u0027 transition states; the difference is that which constitutes a \u0022reactant\u0022 and a \u0022product\u0022 is interpreted differently in the two applications. The presence of the same underlying mathematical description is what unifies these concepts. Because of this unifying description, the article states, \u0022The orbits used to design space missions thus also determine the ionization rates of atoms and chemical-reaction rates of molecules!\u0022 The mathematics that unites these two very different kinds of problems is not only of great theoretical interest for mathematicians, physicists, and chemists, but also has practical engineering value in space mission design and chemistry.\n\u003C\/p\u003E","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"In recent years, researchers have developed astonishing new insights into a hidden unity between the motion of\nobjects in space and that of the smallest particles. It turns out there is an almost perfect parallel between the mathematics describing celestial mechanics and the mathematics governing some aspects of atomic physics.","format":"limited_html"}],"field_summary_sentence":[{"value":"Math shows unity among celestial and atomic motion"}],"uid":"27310","created_gmt":"2005-09-28 00:00:00","changed_gmt":"2016-10-08 03:00:59","author":"David Terraso","boilerplate_text":"","field_publication":"","field_article_url":"","dateline":{"date":"2005-09-28T00:00:00-04:00","iso_date":"2005-09-28T00:00:00-04:00","tz":"America\/New_York"},"extras":[],"hg_media":{"73805":{"id":"73805","type":"image","title":"Ultraviolet image of the sun","body":null,"created":"1449178020","gmt_created":"2015-12-03 21:27:00","changed":"1475894678","gmt_changed":"2016-10-08 02:44:38"}},"media_ids":["73805"],"groups":[{"id":"1214","name":"News Room"}],"categories":[],"keywords":[],"core_research_areas":[],"news_room_topics":[],"event_categories":[],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cp\u003E\u003Cstrong\u003EGeorgia Tech Media Relations\u003C\/strong\u003E\u003Cbr \/\u003ELaura Diamond\u003Cbr \/\u003E\u003Ca href=\u0022mailto:laura.diamond@comm.gatech.edu\u0022\u003Elaura.diamond@comm.gatech.edu\u003C\/a\u003E\u003Cbr \/\u003E404-894-6016\u003Cbr \/\u003EJason Maderer\u003Cbr \/\u003E\u003Ca href=\u0022mailto:maderer@gatech.edu\u0022\u003Emaderer@gatech.edu\u003C\/a\u003E\u003Cbr \/\u003E404-660-2926\u003C\/p\u003E","format":"limited_html"}],"email":["david.terraso@comm.gatech.edu"],"slides":[],"orientation":[],"userdata":""}}}