Mathematics Webinar | Mathematical Modeling in Solar System Dynamics
the chair
Mathematics Webinar
Mathematical Modeling in Solar System Dynamics
I am pleased to invite you to attend the following webinar, Mathematical Modeling in Solar System Dynamics. We are excited to hold three talks on new results pertaining to the size of our solar system and the mechanisms by which objects from interstellar space are captured into it using dynamical systems/chaos modeling, in addition to exploring how objects moving within it can eventually escape using random walk and Arnold diffusion. In addition, we will discuss how the size of the solar system is far larger than previously thought, extending far beyond the Oort cloud. Gravitational models for dark matter in our galaxy play a key role in modeling. The capture mechanism we discuss is called ‘weak capture’, which utilizes hyperbolic manifolds in phase space about our Sun. We also address the following question: What can be captured into our solar system?
Our speakers are Dr. James Green, former Chief Scientist of NASA, who will discuss the size of our solar system, capture into it, and what could actually be captured, and the second speaker will be Prof. Marian Gidea, Chair of Yeshiva Univ.’s mathematics department, who will discuss how instabilities can occur from seemingly stable orbits via Arnold diffusion.
Meet the Event Chair
Meet Our Speakers
Dr. James Green
Space Science Endeavors (Former Chief Scientist of NASA);
Dr. James Green is the founder of US companies Space Science Endeavors and Metavisionaries. Having gained a PhD in Physics from the University of Iowa in 1979, he worked at Marshall Space Flight Center, Goddard Space Flight Center, and NASA Headquarters before retiring in December 2022. During his 42-year career at NASA, Jim was the Agency’s Chief Scientist and longest serving director of the Planetary Science Division.
Prof. Marian Gidea
Dept. of Mathematical Sciences, Yeshiva University, New York, US;
Marian Gidea is a Professor of Mathematics at Yeshiva University in New York City. He held previous appointments at the Mathematical Sciences Research Institute in Berkeley, the Institute for Advanced Study in Princeton, Northeastern Illinois University, Northwestern University, and Loyola University Chicago. He also served at the National Science Foundation as a program director in the Mathematical Sciences Division. His research is in the areas of dynamical systems and celestial mechanics, with a particular focus on the Arnold diffusion problem.
Mathematical Methods of Astrophysics and Space Science
Edited by Prof. Dr. Edward A. Belbruno and Dr. James Lauer Green
Deadline for manuscript submissions: 1 October 2026
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