Modified double-averaged Hamiltonian in hierarchical triple systems
In this work, we introduce a modified double-averaging approach by considering the short-
term effects and formulate a more accurate double-averaged Hamiltonian (in comparison to …
term effects and formulate a more accurate double-averaged Hamiltonian (in comparison to …
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem
RI Paez, M Guzzo - Physica D: Nonlinear Phenomena, 2022 - Elsevier
The halo orbits of the spatial circular restricted three-body problem are largely considered in
space-flight dynamics to design low-energy transfers between celestial bodies. A very …
space-flight dynamics to design low-energy transfers between celestial bodies. A very …
A semi-analytical model for secular dynamics of test particles in hierarchical triple systems
H Lei - Monthly Notices of the Royal Astronomical Society, 2019 - academic.oup.com
In this work, a semi-analytical model is formulated up to an arbitrary order in the semimajor
axis ratio of the inner and outer binaries to describe the long-term (secular) dynamics of test …
axis ratio of the inner and outer binaries to describe the long-term (secular) dynamics of test …
Stability of two groups of multi-revolution elliptic halo orbits in the elliptic restricted three-body problem
H Peng, S Xu - Celestial Mechanics and Dynamical Astronomy, 2015 - Springer
The multi-revolution elliptic halo (ME-Halo) orbit is a kind of strictly periodic orbit existing in
the elliptic restricted three-body problem (ERTBP) model. Its remarkable features include …
the elliptic restricted three-body problem (ERTBP) model. Its remarkable features include …
Three-maneuver transfers from the cislunar l2 halo orbits to low lunar orbits
Y **, B Xu - Advances in Space Research, 2022 - Elsevier
In this paper, a three-maneuver strategy is presented to study the transfer from a cislunar L 2
halo orbit to a low lunar orbit (LLO). Both the cislunar L 2 point orbits and lunar orbits are …
halo orbit to a low lunar orbit (LLO). Both the cislunar L 2 point orbits and lunar orbits are …
High-order solutions around triangular libration points in the elliptic restricted three-body problem and applications to low energy transfers
H Lei, B Xu - Communications in nonlinear science and Numerical …, 2014 - Elsevier
High-order series expansions around triangular libration points in the elliptic restricted three-
body problem (ERTBP) are constructed first, and then with the aid of the series solutions, two …
body problem (ERTBP) are constructed first, and then with the aid of the series solutions, two …
A universe light house—candidate architectures of the libration point satellite navigation system
L Zhang, B Xu - The Journal of Navigation, 2014 - cambridge.org
In view of the shortcomings of existing satellite navigation systems in deep-space
performance, candidate architectures which utilise libration point orbits in the Earth-Moon …
performance, candidate architectures which utilise libration point orbits in the Earth-Moon …
Navigation performance of the libration point satellite navigation system in cislunar space
L Zhang, B Xu - The Journal of Navigation, 2015 - cambridge.org
Based on the candidate architectures of the libration point satellite navigation system
proposed in our previous work, a navigation performance study is conducted in this paper to …
proposed in our previous work, a navigation performance study is conducted in this paper to …
Transfers between libration point orbits of Sun–Earth and Earth–Moon systems by using invariant manifolds
H Lei, B Xu - Journal of Engineering Mathematics, 2016 - Springer
Single-impulse and low-thrust low-energy transfers from a Lyapunov orbit around L_2 L 2
point of the Sun–Earth system to the periodic orbits around the equilibrium points L_i\;(i= 3 …
point of the Sun–Earth system to the periodic orbits around the equilibrium points L_i\;(i= 3 …
Cylindrical isomorphic map** applied to invariant manifold dynamics for Earth–Moon missions
M Giancotti, M Pontani, P Teofilatto - Celestial Mechanics and Dynamical …, 2014 - Springer
Several families of periodic orbits exist in the context of the circular restricted three-body
problem. This work studies orbital motion of a spacecraft among these periodic orbits in the …
problem. This work studies orbital motion of a spacecraft among these periodic orbits in the …