Next week: Damennick Henry, 16-Sep-2025, 12:20pm Central
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Ellad Tadmor
Sep 8, 2025, 8:55:18 PMSep 8
to aem-solid...@umn.edu
AEM Mechanics Research Seminar
Tuesday 16-Sep-2025, 12:20pm Central
Prof. Damennick Henry
Department of Aerospace Engineering and Mechanics, University of Minnesota
Title: Invariant Tori for Spaceflight Applications
Abstract: Over the next several decades, we will endeavor to develop a sustainable and persistent human presence on the Moon. Indeed, many national and international entities from both the public and private sectors have already planned missions to support this ambition. Realizing our goals will demand that many vehicles operate within cislunar space, a region in which motion is heavily influenced by the pull of the Earth and Moon. Together, the Earth and Moon's gravities create a chaotic dynamical environment that spacecraft will travel within. Understanding these complex dynamics is imperative for future Lunar development. Organization within cislunar space's dynamics can be uncovered through the computation of invariant tori, structures within dynamical systems that are topologically equivalent to the surface of a torus. Low-dimensional tori such as equilibrium points (0-dimensional tori) and periodic orbits (1-dimensional tori) have long been leveraged to build a geometric picture of motion in chaotic systems. This talk will present recent research on the computation and application of higher-dimensional tori that form quasi-periodic orbits in cislunar space. Quasi-periodic orbits are a more general class of bounded motion that allow us to form a more complete understanding of spacecraft motion. Leveraging this more complete picture enables the development of key enabling technologies such as fuel-efficient maneuvers between cislunar regions and the coordination of multiple vehicles in unstable regimes.
For more information, visit the AEM Mechanics Research Seminar website:
Tuesday 16-Sep-2025, 12:20pm Central
In-person: Room 313, Akerman Hall, University of Minnesota
Online: Webinar registration link
Department of Aerospace Engineering and Mechanics, University of Minnesota
Title: Invariant Tori for Spaceflight Applications
Abstract: Over the next several decades, we will endeavor to develop a sustainable and persistent human presence on the Moon. Indeed, many national and international entities from both the public and private sectors have already planned missions to support this ambition. Realizing our goals will demand that many vehicles operate within cislunar space, a region in which motion is heavily influenced by the pull of the Earth and Moon. Together, the Earth and Moon's gravities create a chaotic dynamical environment that spacecraft will travel within. Understanding these complex dynamics is imperative for future Lunar development. Organization within cislunar space's dynamics can be uncovered through the computation of invariant tori, structures within dynamical systems that are topologically equivalent to the surface of a torus. Low-dimensional tori such as equilibrium points (0-dimensional tori) and periodic orbits (1-dimensional tori) have long been leveraged to build a geometric picture of motion in chaotic systems. This talk will present recent research on the computation and application of higher-dimensional tori that form quasi-periodic orbits in cislunar space. Quasi-periodic orbits are a more general class of bounded motion that allow us to form a more complete understanding of spacecraft motion. Leveraging this more complete picture enables the development of key enabling technologies such as fuel-efficient maneuvers between cislunar regions and the coordination of multiple vehicles in unstable regimes.
For more information, visit the AEM Mechanics Research Seminar website:
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Ellad B. Tadmor, Ph.D.
Russell J. Penrose Professor
Department of Aerospace Engineering and Mechanics
University of Minnesota
https://dept.aem.umn.edu/~tadmor/
Russell J. Penrose Professor
Department of Aerospace Engineering and Mechanics
University of Minnesota
https://dept.aem.umn.edu/~tadmor/
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