IACAS-2024 Special Sessions

Space Startups Session

Join us for an engaging panel discussion showcasing Israeli startups at the forefront of the space industry. Discover the innovative technologies and groundbreaking ideas emerging from Israel’s entrepreneurial ecosystem as experts delve into topics ranging from satellite technology and space exploration to commercial space ventures. Gain insights into how these startups are shaping the future of space innovation and advancing global space capabilities. Whether you’re a space enthusiast, investor, or industry professional, this event promises to inspire and inform you about the exciting developments in Israel’s space startup landscape.

• Mr. Alex Pospekhov, CEO Mission Space
• Mr. Yigal Harel, Co-Founder & CTO at WeSpace Technologies
• Prof. Meir Ariel, Head of the Tel Aviv University New Space Center on the TEVEL Project
• Dr. Noam Leiter, CEO LulavSpace

Tutorial Session

Hamiltonian Mechanics and Power Geometry Tools in Space Mechanics and Astrodynamics

Vladimir Martinusi, Alexander Batkhin

This tutorial session aims to introduce and describe the application of Hamiltonian Mechanics and Power Geometry tools in Orbital Mechanics. Its practical objective is to showcase the effectiveness of analytical dynamics tools in satellite orbit prediction. Analytical Mechanics faces the challenge of a complex mathematical description. However, the presenters will demonstrate straightforward and natural ways to understand and efficiently use these powerful tools.

The foundational concepts of our approach are the Hamiltonian normalization of conservative dynamical systems and the efficient use of Power Geometry tools for integrating the normalized model.

The tutorial is structured to begin with a brief introduction to the Hamiltonian Formulation of Classical Mechanics, using real-life examples from Orbital Mechanics. This formulation, naturally based on Newton’s laws, uncovers the geometric structure of our approach through Poisson brackets, providing a simple yet effective method for computations. We will directly introduce the concept of normalization in a practical way, using The Main Problem in Artificial Satellite Theory as a case study.

The Power Geometry technique is not only effective for resolving singularities in various classes of algebraic, ordinary, and partial differential equations and their systems but also introduces a series of transformations that simplify the original problem for application of Classical Perturbation Theory. Typically, Power Geometry provides a first approximation of the complete problem, often in the form of an integrable one, where a small parameter emerges naturally. This approximation allows to define a domain in the phase space where an analytic unperturbed solution can be found, serving as a basis for deriving higher-order asymptotic solutions.

We will demonstrate the Power Geometry approach in Hamiltonian systems as found in Celestial Mechanics and Astrodynamics. The primary model used to showcase this technique is the well-known Restricted Three-Body Problem. Our goal is to show the method’s effectiveness not only for conservative systems but also for systems with small non-Hamiltonian perturbations of two types: periodic external disturbing forces, like tidal interactions, and other forces, such as atmospheric drag or solar radiation pressure.