Advanced Mission Scenarios of the Three-Body Problem explores one of the classical problems of celestial mechanics through the lens of modern astrodynamics challenges. It examines current issues in modern astronautics related to the study and colonization of Mars, exploration of the Moon, space debris, and contactless space transportation technologies. Describing the dynamics of space tether systems and space elevators in the gravitational field created by two massive bodies, the book presents an original technology for contactless gravitational transportation of space debris using a heavy gravitational collector. It provides practical recommendations for the implementation of new pioneering missions related to tether transportation in the vicinity of libration points, the construction of space elevators on planetary moons, and contactless electrostatic and gravitational transportation, including in the context of the space debris problem. This book is intended for space systems and spacecraft engineering industry experts and researchers studying space transportation and modern challenges in astronautics.