Celestial Mechanics & Dynamical Astronomy

Article	Citations
Near rectilinear halo orbits and nearby higher-period dynamical structures: orbital stability and resonance properties	31
Asteroid families: properties, recent advances, and future opportunities	17
Centaur and giant planet crossing populations: origin and distribution	17
Flux-based statistical prediction of three-body outcomes	15
Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems	13
Proper elements for space debris	12
Transfers from distant retrograde orbits to low lunar orbits	12
Families of Halo-like invariant tori around $$L_2$$ in the Earth-Moon Bicircular Problem	11
Transfer design between neighborhoods of planetary moons in the circular restricted three-body problem: the moon-to-moon analytical transfer method	11
Machine learning applied to asteroid dynamics	9
Shannon entropy diffusion estimates: sensitivity on the parameters of the method	9
Test of the equivalence principle for galaxy’s dark matter by lunar laser ranging	9
Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune	8
An integrable model for first-order three-planet mean motion resonances	8
A deep dive into the $$2g+h$$ resonance: separatrices, manifolds and phase space structure of navigation satellites	8
Nominal definition of satellite constellations under the Earth gravitational potential	7
The Manifold Of Variations: hazard assessment of short-term impactors	7
Extended analytical formulae for the perturbed Keplerian motion under low-thrust acceleration and orbital perturbations	7
An analytically treatable model of long-term dynamics in a mean motion resonance with coexisting resonant modes	7
Analytical solution of the Colombo top problem	7
Exploring more solutions for low-energy transfers to lunar distant retrograde orbits	7
Identification of asteroid groups in the $$z_1$$ and $$z_2$$ nonlinear secular resonances through genetic algorithms	7
Higher-order sensitivity matrix method for probabilistic solution to uncertain Lambert problem and reachability set problem	7
An analytical model for tidal evolution in co-orbital systems. I. Application to exoplanets	6
The precession and nutations of a rigid Mars	6

Long-term evolution of orbital inclination due to third-body inclination	6
Proper elements for resonant planet-crossing asteroids	6
Cassini states of a rigid body with a liquid core	6
Chaos identification through the autocorrelation function indicator $$({\textit{ACFI}})$$	6
The effect of zonal harmonics on dynamical structures in the circular restricted three-body problem near the secondary body	6
Transit and capture in the planar three-body problem leveraging low-thrust invariant manifolds	6
Long-period comets as a tracer of the Oort cloud structure	5
Impact probability computation of near-Earth objects using Monte Carlo line sampling and subset simulation	5
Nonsingular vectorial reformulation of the short-period corrections in Kozai’s oblateness solution	5
Closed-form perturbation theory in the restricted three-body problem without relegation	5
Periodic solutions of a generalized Sitnikov problem	5
Normal forms for the Laplace resonance	5
The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem	5
The current orbit of Methone (S/2004 S 1)	5
Single-averaged model for analysis of frozen orbits around planets and moons	5
Uncertainties in the gravity spherical harmonics coefficients arising from a stochastic polyhedral shape	5
Constructing motion primitive sets to summarize periodic orbit families and hyperbolic invariant manifolds in a multi-body system	4
Analysis of regular precession conditions for asymmetrical liquid-filled rigid bodies	4
Dynamical taxonomy of the coupled solar radiation pressure and oblateness problem and analytical deorbiting configurations	4
Structures of secular resonances for inner test particles in hierarchical planetary systems	4
Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem	4
A generalization of the equinoctial orbital elements	4
The geometry of isochrone orbits: from Archimedes’ parabolae to Kepler’s third law	4
The planar two-body problem for spheroids and disks	4
Use of the semilinear method to predict the impact corridor on ground	4
Physics-informed neural networks for gravity field modeling of the Earth and Moon	4
Brouwer’s satellite solution redux	4
Applying data mining techniques to higher-dimensional Poincaré maps in the circular restricted three-body problem	4
Gaia-DR2 asteroid observations and INPOP planetary ephemerides	4
Tidal evolution for any rheological model using a vectorial approach expressed in Hansen coefficients	3
A study of periodic orbits near Europa	3
Analytical solutions for low-thrust orbit transfers	3
Elliptical shape-based model for multi-revolution planeto-centric mission scenarios	3
On a set of J$$_2$$ equinoctial orbital elements and their use for uncertainty propagation	3
Reduction and regularization of the Kepler problem	3
Circulating, eccentric periodic orbits at the Moon	3
Secular orbital dynamics of the innermost exoplanet of the $$\upsilon $$-Andromedæ system	3
On the dynamical origins of retrograde Jupiter Trojans and their connection to high-inclination TNOs	3
Lunar close encounters compete with the circumterrestrial Lidov–Kozai effect	3
A study of the 1/2 retrograde resonance: periodic orbits and resonant capture	3
Comparison of continuity equation and Gaussian mixture model for long-term density propagation using semi-analytical methods	3
Optimization of artificial neural networks models applied to the identification of images of asteroids’ resonant arguments	3
General relativistic effects acting on the orbits of Galileo satellites	3
Role of galactic bars in the formation of spiral arms: a study through orbital and escape dynamics—I	3
Orbit determination of the moons of the Pluto–Charon system	3
On the symmetric central configurations for the planar 1+5-body problem with small arbitrary masses	3
Generalization of a method by Mossotti for initial orbit determination	3
The Lagrange coefficients of Vinti theory	3
Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem	3
Evolution of orbits about comets with arbitrary comae	3

Forced hovering orbit above the primary in the binary asteroid system	3
Comparative study of Mercury’s perihelion advance	3
Detection of separatrices and chaotic seas based on orbit amplitudes	2
Ellipsoidal equilibrium figure and Cassini states of rotating planets and satellites deformed by a tidal potential in the spatial case	2
Analytical shape uncertainties in the polyhedron gravity model	2
Stability analysis of apsidal alignment in double-averaged restricted elliptic three-body problem	2
Stable sets mapping with Taylor differential algebra with application to ballistic capture orbits around Mars	2
Bounds on energy and angular momentum loss in the full n-body problem	2
How many Keplerian arcs are there between two points of spacetime?	2
Analysing the Main Belt asteroid distributions by wavelets	2
Extended two-body problem for rotating rigid bodies	2
A flow-informed strategy for ballistic capture orbit generation	2
Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics	2
Impact probability under aleatory and epistemic uncertainties	2
A dissipative Kepler problem with a family of singular drags	2
Nekhoroshev estimates for the orbital stability of Earth’s satellites	2
The orbital evolution of resonant chains of exoplanets incorporating circularisation produced by tidal interaction with the central star with application to the HD 158259 and EPIC 245950175 systems	2
An investigation on space debris of unknown origin using proper elements and neural networks	2
Floquet modes and stability analysis of periodic orbit-attitude solutions along Earth–Moon halo orbits	2
Melnikov method for non-conservative perturbations of the restricted three-body problem	2
Transition methods for stochastic simulation of parametric uncertainty in inverse problems of orbital dynamics	2
An in-plane $$J_2$$-invariance condition and control algorithm for highly elliptical satellite formations	2
Overlong simulations of the solar system dynamics with two alternating step-lengths	2
High-order polynomial continuation method for trajectory design in non-Keplerian environments	2
Approximating orbits in a rotating gravity field with oblateness and ellipticity perturbations	2
Bifurcations of relative equilibrium points during homotopy deformation of asteroids	2
The phase-space architecture in extrasolar systems with two planets in orbits of high mutual inclination	2
Framework for the full N-body problem in SE(3) and its reduction to the circular restricted full three-body problem	2
Central configurations in the spatial n-body problem for $$n=5,6$$ with equal masses	2
Regularized phase-space volume for the three-body problem	2
Existence proof of librational invariant tori in an averaged model of HD60532 planetary system	2
Analytical solution of orthogonal similar oblate spheroidal coordinate system	2
Spatial equilateral chain central configurations of the five-body problem with a homogeneous potential	1
Revisiting the computation of the critical points of the Keplerian distance	1
Improved alpha shape-based continuum method for long-term density propagation	1
Numerical confirmation of the existence of triple collision orbits inside the domain of the free-fall three-body problem	1
Different perspectives on the b-plane: perturbation effects and use for resonant flyby design	1
Transfers from the Earth to $$L_2$$ Halo orbits in the Earth–Moon bicircular problem	1
Science orbit design with a quasi-frozen beta angle: effects of body obliquity on J2-perturbed dynamics	1
Physics-informed neural networks for gravity field modeling of small bodies	1
Bifurcations and enumeration of central configurations of some planar restricted problems	1
Pfaffians and the inverse problem for collinear central configurations	1
Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill’s lunar problem	1
Uncertainty maps for motion around binary asteroids	1
The phase space structure of retrograde mean motion resonances with Neptune: the 4/5, 7/9, 5/8 and 8/13 cases	1
Describing relative motion near periodic orbits via local toroidal coordinates	1
Konstantin Kholshevnikov 1939–2021	1
Non-integrability of the planar elliptic restricted three-body problem	1
Conditions for Convergent Migration of N-Planet Systems	1
Global analysis of direct transfers from Lunar orbits to Sun-Earth libration point regimes	1
Orbit determination for standard-like maps: asymptotic expansion of the confidence region in regular zones	1
Mars orientation and rotation angles	1
Analytical stability in the Caledonian Symmetric Five-Body Problem	1
Revisiting Earth tide parameters used in the development of planetary and lunar ephemeris	1
Correction to: Report of the International Astronomical Union Division I Working Group on Precession and the Ecliptic	1
Generating function of the inertial integrals for small celestial bodies	1
Creep tide theory: equations for differentiated bodies with aligned layers	1
Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families	1
Polynomial stochastic dynamical indicators	1
The capture probability of Dawn into ground-track resonances with Vesta	1
From the Lagrange polygon to the figure eight I	1
Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations	1
On the integral solution of elliptic Kepler’s equation	1
PETREL19: a new numerical solution of planetary and lunar ephemeris	1
Mapping the structure of the planetary 2:1 mean motion resonance: the TOI-216, K2-24, and HD27894 systems	1
Rotation state estimation of slow-rotating multi-reflector defunct spacecraft through laser ranging measurements from a single short arc	1
Low-thrust station-keeping control for lunar near rectilinear halo orbits	1
GANBISS: a new GPU accelerated N-body code for binary star systems	1
An implicit symplectic solver for high-precision long-term integrations of the Solar System	1
Regularization of the Hill four-body problem with oblate bodies	1
On the relative equilibria of the (rhombus+1)-body problem	1
A new perturbative solution to the motion around triangular Lagrangian points in the elliptic restricted three-body problem	1
Inner third-body perturbations	1
Planetary systems with forces other than gravitational forces	1
Relative equilibria and periodic orbits in a Circular Planar (2+2)-Body Problem	1
Periodic orbits of the two fixed centers problem with a variational gravitational field	1
Librations of a body composed of a deformable mantle and a fluid core	1
Triple collision orbits in the free-fall three-body system without binary collisions	1
The Conley–Zehnder indices of the spatial Hill three-body problem	1
On the global families of periodic solutions of a generalized Sitnikov problem	1

Natural dynamical reduction of the three-body problem	1
Order-chaos-order and invariant manifolds in the bounded planar Earth–Moon system	1
An application of symplectic integration for general relativistic planetary orbitography subject to non-gravitational forces	1
A direct numerical verification of tidal locking mechanism using the discrete element method	1
A fast method of estimating the gravitational acceleration of asteroids with irregular shapes	1