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Both General Relativistic (GR) precession and the Lidov-Kozai mechanism, separately, are known to play an important role in the orbital evolution of solar system bodies. Previous works have studied these two mechanisms independently in…

Earth and Planetary Astrophysics · Physics 2017-04-12 Aswin Sekhar , David Asher , Stephanie Werner , Jeremie Vaubaillon , Gongjie Li

We examine the orbital element distribution of main-belt comets (MBCs), which are objects that exhibit cometary activity yet orbit in the main asteroid belt, and may be potentially useful as tracers of ice in the inner solar system. We find…

Earth and Planetary Astrophysics · Physics 2018-03-21 Yoonyoung Kim , Youngmin JeongAhn , Henry H. Hsieh

We examine the evolution of highly eccentric, planet-crossing orbits in the restricted three-body problem (Sun, planet, comet). We construct a simple Keplerian map in which the comet energy changes instantaneously at perihelion, by an…

Astrophysics · Physics 2009-10-30 Leonid Malyshkin , Scott Tremaine

The absolute magnitude and perihelion distributions of long-period comets are derived, using data from the Lincoln Near-Earth Asteroid Research (LINEAR) survey. The results are surprising in three ways. Firstly, the flux of comets through…

Astrophysics · Physics 2016-08-30 P. J. Francis

We analyze a sample of 73 old long-period comets (LPCs) (orbital periods $200 < P < 1000$ yr) with perihelion distances $q < 2.5$ au, discovered in the period 1850-2014. We cloned the observed comets and also added fictitious LPCs with…

Earth and Planetary Astrophysics · Physics 2016-07-27 Julio A. Fernández , Tabaré Gallardo , Juan D. Young

A new classification scheme is introduced for comet-like bodies in the Solar system. It covers the traditional comets as well as the Centaurs and Edgeworth-Kuiper belt objects. At low inclinations, close encounters with planets often result…

Astrophysics · Physics 2009-11-07 J. Horner , N. W. Evans , M. E. Bailey , D. J. Asher

Long-period comets coming from the Oort cloud are thought to be planetesimals formed in the planetary region on the ecliptic plane. We have investigated the orbital evolution of these bodies due to the Galactic tide. We extended Higuchi et…

Earth and Planetary Astrophysics · Physics 2020-09-02 Arika Higuchi

Consider the Restricted Planar Circular Three Body Problem (RPC3BP), which models the motion of a massless particle (Asteroid) under the gravitational influence of two massive bodies (the primaries) moving on circular orbits. By considering…

Mathematical Physics · Physics 2025-12-24 Marcel Guardia , José Lamas , Tere M-Seara

Past and future dynamical evolution of all 64 long period comets having 1/aori< 1\times10-4 au-1 and qosc > 3.0 au and discovered after 1970 is studied. For all of them we obtained a new, homogeneous set of osculating orbits, including 15…

Earth and Planetary Astrophysics · Physics 2015-05-27 Piotr A. Dybczyński , Małgorzata Królikowska

Based on telescopic observations of Jupiter-family comets (JFCs), there is predicted to be a paucity of objects at sub-kilometre sizes. However, several bright fireballs and some meteorites have been tenuously linked to the JFC population,…

Earth and Planetary Astrophysics · Physics 2020-10-07 P. M. Shober , T. Jansen-Sturgeon , P. A. Bland , H. A. R. Devillepoix , E. K. Sansom , M. C. Towner , M. Cupák , R. M. Howie , B. A. D. Hartig

The description of unstable motions in the Restricted Planar Circular 3-Body Problem, modeling the dynamics of a Sun-Planet-Asteriod system, is one of the fundamental problems in Celestial Mechanics. The goal of this paper is to analyze…

Dynamical Systems · Mathematics 2023-12-22 Inmaculada Baldomá , Mar Giralt , Marcel Guardia

The Gaia space telescope has transformed our understanding of random stellar encounters with the Solar System. This study examines how such perturbations influence the most eccentric comets in the Oort Cloud (OC), a thermalized reservoir of…

Earth and Planetary Astrophysics · Physics 2025-11-20 Shahed Shayan Arani

We study the long term evolution of the distance between two Keplerian confocal trajectories in the framework of the averaged restricted 3-body problem. The bodies may represent the Sun, a solar system planet and an asteroid. The secular…

Dynamical Systems · Mathematics 2020-11-30 Giovanni Federico Gronchi , Chiara Tardioli

On timescales that greatly exceed an orbital period, typical planetary orbits evolve in a stochastic yet stable fashion. On even longer timescales, however, planetary orbits can spontaneously transition from bounded to unbound chaotic…

Earth and Planetary Astrophysics · Physics 2015-06-23 Konstantin Batygin , Alessandro Morbidelli , Mathew J. Holman

The objectives of this project are to predict new meteor showers associated with as many as possible known periodic comets and to find a generic relationship of some already known showers with these comets. For a potential parent comet, we…

Earth and Planetary Astrophysics · Physics 2014-10-07 Lubos Neslusan , Maria Hajdukova , Dusan Tomko , Zuzana Kanuchova , Marian Jakubik

The eccentricity evolution of multiple planet systems can provide valuable constraints on planet formation models. Unfortunately, the inevitable uncertainties in the current orbital elements can lead to significant ambiguities in the nature…

Astrophysics · Physics 2008-12-18 Dimitri Veras , Eric B. Ford

We study orbital inclination changes associated with the precession of a disc-planet system that occurs through gravitational interaction with a binary companion on an inclined orbit. We investigate whether this scenario can account for…

Earth and Planetary Astrophysics · Physics 2014-02-14 M. Xiang-Gruess , J. C. B. Papaloizou

A co-orbital asteroid shares the orbit of a secondary body about its primary. Though more commonly encountered as an asteroid that shares a planet's orbit around the Sun, a co-orbital asteroid could similarly share the orbit of the Moon…

Earth and Planetary Astrophysics · Physics 2022-03-16 Cole R. Gregg , Paul A. Wiegert

The outer Solar System is believed to host a vast reservoir of long-period comets (LPCs), but our understanding of their spatial distribution and dynamical history remains limited due to observational biases and uncertainties in orbital…

Earth and Planetary Astrophysics · Physics 2025-10-15 Piotr A. Dybczyński , Małgorzata Królikowska

We introduce a new technique to estimate the comet nuclear size frequency distribution (SFD) that combines a cometary activity model with a survey simulation and apply it to 150 long period comets (LPC) detected by the Pan-STARRS1…