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The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels.

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Regularized equations of motion can improve numerical integration for the propagation of orbits, and simplify the treatment of mission design problems. This monograph discusses standard techniques and recent research in the area. While each scheme is derived analytically, its accuracy is investigated numerically. Algebraic and topological aspects of the formulations are studied, as well as their application to practical scenarios such as spacecraft relative motion and new low-thrust trajectories.

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"This book depicts the state of the art of the regularisation theory in applications to Celestial Mechanics and Astrodynamics. [...] a precious resource for researchers working in the field of Celestial Mechanics and Astrodynamics."Ugo Locatelli in: Celestial Mechanics and Dynamical Astronomy (2018) 130: 69. "Doubtlessly the monograph will be useful for graduate and postgraduate students and researches working in the area of celestial mechanics and astrodynamics." Sergei Georgievich Zhuravlev in: Zentralblatt MATH 1396.70003

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Javier Roa, Technical University of Madrid, Spain.

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