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The classical polyhedral model is one of the most accurate methods currently used to represent the gravitational field of irregularly shaped bodies. However, it assumes a homogeneous density distribution, which may not accurately reflect…

Earth and Planetary Astrophysics · Physics 2025-08-13 Marcelo L. Mota , Safwan A. , Antonio F. B. A. Prado

In this paper, two models of interest for Celestial Mechanics are presented and analysed, using both analytic and numerical techniques, from the point of view of the possible presence of regular and/or chaotic motion, as well as the…

Earth and Planetary Astrophysics · Physics 2024-02-02 Irene De Blasi

The aim of this work is to combine the model of orbital and rotational motion of the Moon developed for DE430 with up-to-date astronomical, geodynamical, and geo- and selenophysical models. The parameters of the orbit and physical libration…

Earth and Planetary Astrophysics · Physics 2018-07-31 Dmitry A. Pavlov , James G. Williams , Vladimir V. Suvorkin

Exact analytical expressions in terms of generalized confluent hypergeometric functions for the transition amplitudes of neutrino oscillations in presence of matter are computed for an arbitrary number of species. The density of matter is…

High Energy Physics - Phenomenology · Physics 2011-07-19 Emilio Torrente-Lujan

Accurate orbit modeling plays a key role in contemporary and future space missions such as GRACE and its successor GRACE-FO, GNSS, and altimetry missions. To fully exploit the technological capabilities and correctly interpret measurements,…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Dennis Philipp , Florian Wöske , Liliane Biskupek , Eva Hackmann , Enrico Mai , Meike List , Claus Lämmerzahl , Benny Rievers

In nominal mission scenarios, geostationary satellites perform end-of-life orbit maneuvers to reach suitable disposal orbits, where they do not interfere with operational satellites. This research investigates the long-term orbit evolution…

Earth and Planetary Astrophysics · Physics 2021-04-06 Simone Proietti , Roberto Flores , Elena Fantino , Mauro Pontani

In extending the analysis of the four secular resonances between close orbits in Li and Christou (Celest Mech Dyn Astron 125:133-160, 2016) (Paper I), we generalise the semianalytical model so that it applies to both prograde and retrograde…

Earth and Planetary Astrophysics · Physics 2017-04-12 Daohai Li , Apostolos A. Christou

In this work we discuss an approximate model for the propagation of deep irrotational water waves, specifically the model obtained by keeping only quadratic nonlinearities in the water waves system under the Zakharov/Craig-Sulem…

Analysis of PDEs · Mathematics 2025-01-06 Vincent Duchêne , Benjamin Melinand

Frozen orbits are always important foci of orbit design because of their valuable characteristics that their eccentricity and argument of pericentre remain constant on average. This study investigates quasi-circular frozen orbits and…

Earth and Planetary Astrophysics · Physics 2011-08-25 Xiaodong Liu , Hexi Baoyin , Xingrui Ma

Mass transfer (MT) is a fundamental process in stellar evolution. While MT in circular orbits is well studied, observations indicate that it also occurs in eccentric ones, where theoretical models are limited. We present a new semi-analytic…

Solar and Stellar Astrophysics · Physics 2026-02-04 A. Parkosidis , S. Toonen , F. Dosopoulou , E. Laplace

In the current study, a double-averaged analytical model including the action of the perturbing body's inclination is developed to study third-body perturbations. The disturbing function is expanded in the form of Legendre polynomials…

Earth and Planetary Astrophysics · Physics 2012-03-09 Xiaodong Liu , Hexi Baoyin , Xingrui Ma

Lunar Laser Ranging (LLR) measurements are crucial for advanced exploration of the evolutionary history of the lunar orbit, the laws of fundamental gravitational physics, selenophysics and geophysics as well as for future human missions to…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Sergei Kopeikin

A novel approach is developed for analytic orbit propagation based on asymptotic expansion with respect to a small perturbative acceleration. The method improves upon existing first order asymptotic expansions by leveraging on linear…

Earth and Planetary Astrophysics · Physics 2022-11-03 Giacomo Curzi , Dario Modenini

We study a class of three-waveguide axially varying structures whose dynamics are described by the su(3) algebra. Their analytic propagator can be found based on the corresponding Lie group generators. In particular, we show that the field…

Galaxies are self-gravitating structures composed by several components encompassing spherical, axial and triaxial symmetry. Although real systems feature heterogeneous components whose properties are intimately connected, semi-analytical…

Astrophysics of Galaxies · Physics 2021-02-03 Matteo Bonetti , Elisa Bortolas , Alessandro Lupi , Massimo Dotti

The long-term dynamics of perturbed Keplerian motion is usually analyzed in simplified models as part of the preliminary design of artificial satellites missions. It is commonly approached by averaging procedures that deal with literal…

Dynamical Systems · Mathematics 2020-11-03 Martin Lara , Rosario López , Iván Pérez , Juan F. San-Juan

In this work the orbital dynamics of Earth satellites about the geosynchronous altitude are explored, with primary goal to assess current mitigation guidelines as well as to discuss the future exploitation of the region. A thorough…

Earth and Planetary Astrophysics · Physics 2019-05-07 Ioannis Gkolias , Camilla Colombo

The past decade has witnessed a growing interest in lunar exploration missions. The autonomy of lunar surface and in-orbit missions is, however, dependent on accurate and instantaneous navigation services. These services can not be provided…

Signal Processing · Electrical Eng. & Systems 2020-10-20 Filipe Pereira , Daniel Selva

This work studies scattering-induced elastic wave attenuation and phase velocity variation in 3D untextured cubic polycrystals with statistically equiaxed grains using the theoretical second-order approximation (SOA) and Born approximation…

Classical Physics · Physics 2022-02-17 Ming Huang , Peter Huthwaite , Stanislav I. Rokhlin , Michael J. S. Lowe

A recent analysis of a Lunar Laser Ranging (LLR) data record spanning 38.7 yr revealed an anomalous increase of the eccentricity of the lunar orbit amounting to de/dt_meas = (9 +/- 3) 10^-12 yr^-1. The present-day models of the dissipative…

General Relativity and Quantum Cosmology · Physics 2011-07-26 Lorenzo Iorio