On July 11th, Professor of the Princeton Institute of Advanced Studies, Academician of the National Academy of Sciences, Academician of the Royal Society, and Academician of the Royal Society of Canada, Professor Scott Tremaine, guest lecturer on the 132nd Master Class, at the 200 Lecture Hall of the Tsung-Dao Lee Institute of Minhang Campus. The remaining masters gave a wonderful report entitled "The Long-term Stability of Planetary Systems".

     This master forum was hosted by Professor Lai Dong, a senior scholar at the Tsung-Dao Lee Institute .

     Many stars have a number of planets around them for long-term operation. After a long time, if the planet orbits 100 million laps, can its orbit be stable? This is the problem of the long-term stability of the so-called planetary system. In the report, Professor Scott Tremaine gave an in-depth explanation of the development of this classic problem. Historically, many famous mathematicians and physicists such as Newton, Laplace, LaGrange, Gauss, Poincaré, Kolmogorov, Arnold, and Moser have tried to answer this question, but No success.
     Modern scientists try to solve this problem with computer numerical calculations, but since the system is a microchaotic system, error accumulation can easily make the calculation invalid, so it is necessary to find complex algorithms to avoid this problem. Even so, it has been found that prophecy will fail when predicting the orbit of the planet when it exceeds 1% of the age of the planetary system.
     Professor Scott Tremaine suggested that with the development of computer hardware and algorithms, we will likely answer the following questions in the near future: How does the Earth's orbit evolve throughout geological history? What is the ultimate fate of the earth? What is the number and spacing of the planets determined by what factors? What is the nature of the planetary system outside the solar system?

     The lecture ended with enthusiastic applause from the classmates. Later, the classmates and teachers present presented a series of questions and received the patient answers from Professor Scott Tremaine.