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Planetary encounter analysis on the B-plane: a comprehensive formulation
Springer Science and Business Media LLC - - 2019
Davide Farnocchia, Siegfried Eggl, P. W. Chodas, Jon D. Giorgini, Steven R. Chesley
A note on resonance in regular variables and averaging
Springer Science and Business Media LLC - Tập 34 - Trang 453-457 - 1984
S. Ferraz-Mello, W. Sessin
A point relative to the application of the method of Hori to resonant systems is considered: For systems having one degree of freedom the topology of the phase plane of the auxiliary Hori's system is unaltered in the process of construction of a formal solution. The transformed Hamiltonian may not lead to singular points other than those included in the auxiliary Hori's Hamiltonian.
Progress in the analytical theories for the orbital motion of the Moon
Springer Science and Business Media LLC - Tập 26 - Trang 53-62 - 1982
Michelle Chapront-Touze
For the last 15 years, an important effort has been done by several authors to produce new and precise analytical solutions for the Moon's orbital motion. This construction is still in a very growing phase. Achieved works are described and compared. Some indications are given about what remains to be done.
Numerical experiments on planetary orbits in double stars
Springer Science and Business Media LLC - Tập 34 - Trang 369-378 - 1984
R. Dvorak
This is a numerical study of orbits in the elliptic restricted three-body problem concerning the dependence of the critical orbits on the eccentricity of the primaries. They are defined as being the separatrix between stable and unstable single periodic orbits. As our results are adapted to the existence of planetary orbits in double stars we concentrated first on the P-orbits (defined to surround...... hiện toàn bộ
Lattice-preserving Flower Constellations under $$J_2$$ perturbations
Springer Science and Business Media LLC - Tập 121 - Trang 83-100 - 2014
Daniel Casanova, Martín Avendaño, Eva Tresaco
2D Lattice Flower Constellations (2D-LFCs) are stable in the Keplerian model. This means that a flower constellation maintains its structure (the lattice) at any instant of time. However, this is not necessarily true when the $$J_2$$ harmonic is ...... hiện toàn bộ
Motion and rotation of celestial bodies in the post-Newtonian approximation
Springer Science and Business Media LLC - Tập 42 - Trang 293-307 - 1987
A. V. Voinov
Consistent post-Newtonian description of motion and precession in a system ofN extended slowly rotating bodies is developed in the framework of the post-Newtonian approximation scheme (PNA). The solution of Einstein equations for the metric in the local reference system related to a body of the system is obtained. This metric is used to derive the equations of motion and precession of the consider...... hiện toàn bộ
Lịch sử Động lực học của Hệ Trái Đất - Mặt Trăng Dịch bởi AI
Springer Science and Business Media LLC - Tập 84 - Trang 27-55 - 2002
G. A. Krasinsky
Các phương trình vi phân mô tả sự tiến hóa thủy triều của sự quay của Trái Đất và chuyển động quỹ đạo của Mặt Trăng được trình bày dưới dạng đơn giản. Các phương trình khác nhau về hình thức cho các quỹ đạo cố định theo đường xích đạo của Trái Đất và cho các quỹ đạo có các điểm nút tiến triển dọc theo mặt phẳng hoàng đạo do các biến động từ Mặt Trời. Các xem xét phân tích cho thấy rằng nếu quỹ đạo...... hiện toàn bộ
Symplectic propagators for the Kepler problem with time-dependent mass
Springer Science and Business Media LLC - Tập 131 Số 6 - Trang 1-19 - 2019
Bader, Philipp, Blanes, Sergio, Casas, Fernando, Kopylov, Nikita
New numerical integrators specifically designed for solving the two-body gravitational problem with a time-varying mass are presented. They can be seen as a generalization of commutator-free quasi-Magnus exponential integrators and are based on the compositions of symplectic flows. As a consequence, in their implementation they use the mapping that solves the autonomous problem with averaged masse...... hiện toàn bộ
Construction of a Nekhoroshev like result for the asteroid belt dynamical system
Springer Science and Business Media LLC - - 1997
Massimilliano Guzzo, Alessandro Morbidelli
Automated tour design in the Saturnian system
Springer Science and Business Media LLC - Tập 136 - Trang 1-23 - 2024
Yuji Takubo, Damon Landau, Brian Anderson
Future missions to Enceladus would benefit from multi-moon tours that leverage $$V_\infty $$ on resonant orbits to progressively transfer between moons. Such resonance hopping trajectories present a vast search space for global optimization due to the different combinations of available resonances...... hiện toàn bộ
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