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Two semi-analytical one-degree-of-freedom secular models are presented for the motion of small bodies beyond Neptune. A special attention is given to trajectories entirely exterior to the planetary orbits. The first one is the well-known…

Earth and Planetary Astrophysics · Physics 2016-11-15 Melaine Saillenfest , Marc Fouchard , Giacomo Tommei , Giovanni B. Valsecchi

This study comprehensively analyzes Atlas's current orbit, focusing on the secular and resonant perturbations caused by Prometheus, Pandora, and Saturn's oblateness. We performed numerical integration of the exact equations of motion for a…

Earth and Planetary Astrophysics · Physics 2025-01-27 Demétrio Tadeu Ceccatto , Nelson Callegari , Gabriel Teixeira Guimarães , Karyna Gimenez

Coorbital bodies are observed around the Sun sharing their orbits with the planets, but also in some pairs of satellites around Saturn. The existence of coorbital planets around other stars has also been proposed. For close-in planets and…

Earth and Planetary Astrophysics · Physics 2013-12-04 Alexandre C. M. Correia , Philippe Robutel

A common problem in cosmology is to integrate the product of two or more spherical Bessel functions (sBFs) with different configuration-space arguments against the power spectrum or its square, weighted by powers of wavenumber. Naively…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-03 Zachary Slepian , Yin Li , Marcel Schmittfull , Zvonimir Vlah

The recent close approach of the NEA (3200) Phaethon offered a rare opportunity to obtain high-quality observational data. We used the newly obtained optical light curves to improve the spin and shape model of Phaethon and to determine its…

This Letter presents a study of the geometry and motion of the Galactic disk using open clusters in the Gaia era. The findings suggest that the inclination of the Galactic disk increases gradually from the inner to the outer disk, with a…

Astrophysics of Galaxies · Physics 2023-08-31 Zhihong He

We performed numerical simulations of the obliquity evolution of Mars during the Noachian era, at which time the giant planets were on drastically different orbits than today. For the preferred primordial configuration of the planets we…

Earth and Planetary Astrophysics · Physics 2015-05-27 Ramon Brasser , Kevin J. Walsh

We measure the true obliquity of TOI-2364, a K dwarf with a sub-Saturn-mass ($M_p = 0.18\,M_J$) transiting planet on the upper edge of the hot Neptune desert. We used new Rossiter-McLaughlin observations gathered with the Keck Planet Finder…

Irregular moons are a class of satellite found orbiting all of the Solar System's giant planets: as their orbits don't match those of their planets, they are theorised to have formed elsewhere in the Solar System and were subsequently…

Earth and Planetary Astrophysics · Physics 2021-12-20 George Bell

(abridged) Recent work on several beta Cephei stars has succeeded in constraining both their interior rotation profile and their convective core overshoot. In particular, a recent study focusing on theta$ Oph has shown that a convective…

Solar and Stellar Astrophysics · Physics 2015-05-18 C. C. Lovekin , M. -J. Goupil

The geometries of near-resonant planetary systems offer a relatively pristine window into the initial conditions of exoplanet systems. Given that near-resonant systems have likely experienced minimal dynamical disruptions, the spin-orbit…

The shapes of fluid planets bear the signatures of rotational flattening and atmospheric flows. Precise knowledge of their shapes and wind profiles may therefore reveal their interior rotation rates. We re-examine this idea for the ice…

Earth and Planetary Astrophysics · Physics 2026-04-23 Christopher R. Mankovich , Alex B. Akins , Dustin Buccino , Ravit Helled , Marzia Parisi

When a test particle moves about an oblate spheroid, it is acted upon, among other things, by two standard perturbing accelerations. One, of Newtonian origin, is due to the quadrupole mass moment $J_2$ of the orbited body. The other one, of…

General Relativity and Quantum Cosmology · Physics 2023-12-13 Lorenzo Iorio

We have tested the appropriateness of two-soliton analytic metric to describe the exterior of all types of neutron stars, no matter what their equation of state or rotation rate is. The particular analytic solution of the vaccuum Einstein…

General Relativity and Quantum Cosmology · Physics 2013-02-12 George Pappas , Theocharis A. Apostolatos

Aims. Numerous trans-Neptunian objects are known to be in mean-motion resonance with Neptune. We aim to describe their long-term orbital evolution (both past and future) by means of a one-degree-of-freedom secular model. In this paper, we…

Earth and Planetary Astrophysics · Physics 2017-07-12 Melaine Saillenfest , Giacomo Lari

Although a large number of Galactic open clusters (OCs) have been identified, the internal kinematic properties (e.g., rotation) of almost all the known OCs are still far from clear. With the high-precision astrometric data of Gaia EDR3, we…

Astrophysics of Galaxies · Physics 2022-10-26 C. J. Hao , Y. Xu , S. B. Bian , L. G. Hou , Z. H. Lin , Y. J. Li , D. J. Liu

Context: Seasonal variations and climate stability of a planet are very sensitive to the planet obliquity and its evolution. This is of particular interest for the emergence and sustainability of land-based life, but orbital and rotational…

Earth and Planetary Astrophysics · Physics 2019-02-27 Melaine Saillenfest , Jacques Laskar , Gwenaël Boué

The angle between stellar spin axes and planetary orbits -- stellar obliquity -- probes the dynamics of planetary migration and evolution. The obliquities of giant planets have been extensively studied because they are the most easily…

Gravity darkening induced by rapid stellar rotation provides us with a unique opportunity to characterize the spin-orbit misalignment of a planetary system through analysis of its photometric transit. We use the gravity-darkened transit…

Earth and Planetary Astrophysics · Physics 2017-12-27 Miranda K. Herman , Ernst J. W. de Mooij , Chelsea X. Huang , Ray Jayawardhana

The parity nonconserving spin rotation of neutrons in the 0.734-eV p-wave resonance of $^{139}La$ was measured with the neutron transmission method. Two optically polarized $^3He$ cells were used before and behind a a 5-cm long $^{139}La$…

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