Publications

Journal article (selected articles by Journal's Editors are marked with *)

7)* Studying network of symmetric periodic orbit families of the Hill problem via symplectic invariants (with Alexander Batkhin) Celestial Mechanics and Dynamical Astronomy 137(12) (2025)

*The Journal CM&DA has started an Astronomy Seminar series organized by Springer Nature. This series consists of a selection of high-quality research on cutting-edge problems in Celestial Mechanics and Dynamical Astronomy. For each seminar, a committee formed by the Journal's editors selects recent paper accepted for publication in CM&DA as being innovative and/or having had significant recent impact. Our article was selected by the committee for the Seminar on Sept. 12, 2025.

6) Contact geometry of Hill's approximation in a spatial restricted four-body problem  Arnold Mathematical Journal 11(1) (2025)

5) Bifurcation graphs for the CR3BP via Symplectic Methods (with Agustin Moreno, Otto van Koert, Urs Frauenfelder, Dayung Koh) The Journal of the Astronautical Sciences 71(51) (2024)

4)* From Babylonian lunar observations to Floquet multipliers and Conley–Zehnder indices Journal of Mathematical Physics 64(8) (2023)

*Selected as Editor’s Pick for August 2023 in the Journal of Mathematical Physics.

3) Symplectic splitting of Hamiltonian structures and reduced monodromy matrices Linear Algebra and its Applications  674, 426–441 (2023)

2) The Conley–Zehnder indices of the spatial Hill three-body problem Celestial Mechanics and Dynamical Astronomy 135(32) (2023)

1) The linear symmetries of Hill's lunar problem Archiv der Mathematik 120(3), 321–330 (2023)

Preprint (Submitted for publication)

2) Comet-type periodic motions and their out-of-plane bifurcations in the Earth-Moon CR3BP: a computational symplectic analysis https://arxiv.org/abs/2602.16354

1) Exploration of vertical self-resonant bifurcations from Distant Retrograde Orbits (DROs) in the Earth-Moon Circular Restricted Three-Body Problem (CR3BP) https://arxiv.org/abs/2508.17286

Conference paper / extended abstract

3) Network of families of symmetric spatial periodic orbits in the Hill problem via symplectic invariants (with Alexander Batkhin) Book of abstracts of Analytical Methods of Celestial Mechanics 2024

2) Symplectic methods in trajectory design (with Agustin Moreno, Otto van Koert, Urs Frauenfelder, Dayung Koh) Proceedings of KePASSA 2024

1) Symplectic methods in space mission design (with Urs Frauenfelder, Dayung Koh, Agustin Moreno) Proceedings of 2023 AAS/AIAA Astrodynamics Specialist Conference https://arxiv.org/abs/2308.03391v1

Doctoral thesis

A study of the Hill three-body problem by modern symplectic geometry Université de Neuchâtel, No de thèse: 3063 (2023)

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