This book is a three-volume publication that brings together selected peer-reviewed contributions from the XLVI and XLVII Academic Space Conferences, Dedicated to the Memory of Academician S.P. Korolev and Other Outstanding Russian Scientists—Pioneers of Space Exploration. Since its inception in 1977, this conference has served as a premier platform for scientific exchange in the fields of space systems, materials science, aerospace engineering, and mission planning. Volume I presents foundational aspects of systems modeling, mission design, and intelligent control in space exploration. Topics include computational methods for spacecraft trajectory optimization, orbital mechanics, simulation of flight and power systems, remote sensing technologies, and novel approaches to communication protocols and telemetry. Highlighting the systemic complexity of modern space missions, the contributors focus on algorithmic design, signal processing, and decision support systems.This book  is an essential resource for professionals, researchers, and scholars in the fields of aerospace engineering, space science, and space mission planning. The compilation provides both depth and breadth across domains essential to shaping the future of space research and industry.