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A fundamental aspect of the three-body problem is its stability. Most stability studies have focused on the co-planar three-body problem, deriving analytic criteria for the dynamical stability of such pro/retrograde systems. Numerical…

Earth and Planetary Astrophysics · Physics 2016-12-02 Evgeni Grishin , Hagai B. Perets , Yossef Zenati , Erez Michaely

We present the first high-precision proper motion catalog, tied to the International Celestial Reference System (ICRS), of infrared astrometric reference stars within R $\leq$ 25" (1 pc) of the central supermassive black hole at the…

In this work we revisit the problem of the dynamical stability of hierarchical triple systems with applications to circumbinary planetary orbits. We carry out more than 3 10^8 numerical simulations of planets between the size of Mercury and…

Earth and Planetary Astrophysics · Physics 2024-09-06 Nikolaos Georgakarakos , Siegfried Eggl , Mohamad Ali-Dib , Ian Dobbs-Dixon

The three-body problem is famously chaotic, with no closed-form analytical solutions. However, hierarchical systems of three or more bodies can be stable over indefinite timescales. A system is considered hierarchical if the bodies can be…

Solar and Stellar Astrophysics · Physics 2022-11-30 Max Tory , Evgeni Grishin , Ilya Mandel

We present significantly improved proper motion measurements of the Milky Way's central stellar cluster. These improvements are made possible by refining our astrometric reference frame with a new geometric optical distortion model for the…

Astrophysics of Galaxies · Physics 2015-05-20 Sylvana Yelda , Jessica R. Lu , Andrea M. Ghez , Will Clarkson , Jay Anderson , Tuan Do , Keith Matthews

We examine the relative offsets of the linear terms in the geometric distortion between WFC3/IR and the Gaia DR3 catalog using the Mikulski Archive for Space Telescopes (MAST) pipeline WFC3/IR to Gaia DR3 alignment solutions to assess…

Instrumentation and Methods for Astrophysics · Physics 2025-11-21 Anne O'Connor , Varun Bajaj

The space astrometry mission GAIA will construct a dense optical QSO-based celestial reference frame. For consistency between the optical and radio positions, it will be important to align the GAIA frame and the International Celestial…

Astrophysics · Physics 2008-12-18 G. Bourda , P. Charlot , R. Porcas , S. Garrington

Infrared observations of stellar orbits about Sgr A* probe the mass distribution in the inner parsec of the Galaxy and provide definitive evidence for the existence of a massive black hole. However, the infrared astrometry is relative and…

Astrophysics of Galaxies · Physics 2023-08-08 Jeremy Darling , Jennie Paine , Mark J. Reid , Karl M. Menten , Shoko Sakai , Andrea Ghez

The Infrared Array Camera (IRAC) on the Spitzer Space Telescope is absolutely calibrated by comparing photometry on a set of A stars near the north ecliptic pole to predictions based on ground-based observations and a stellar atmosphere…

The motion of the barycenter of the Solar System (SSB), the origin of the International Celestial Reference System, causes a directional displacement known as secular aberration. The secular aberration drift caused by the galactocentric…

Instrumentation and Methods for Astrophysics · Physics 2024-07-30 Niu Liu , Zi Zhu , Jia-Cheng Liu

During the last few decades, there has been a growing interest in exact solutions of Einstein equations describing razor-thin disks. Despite the progress in the area, the analytical study of geodesic motion crossing the disk plane in these…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Ronaldo S. S. Vieira , Javier Ramos-Caro , Alberto Saa

We present the results of multi-frequency monitoring of the radio quasar 3C 286, conducted using three instruments: ALMA at 91.5, 103.5, 233.0, and 343.4 GHz, the IRAM 30-m Telescope at 86 and 229 GHz, and SMA at 225 GHz. The IRAM…

Context: To investigate the differences between positions, as determined by optical (direct imaging) and Very Long Baseline Interferometry (VLBI) techniques, of extragalactic sources listed in the second realization of the International…

Astrophysics of Galaxies · Physics 2015-05-28 J. I. B. Camargo , A. H. Andrei , M. Assafin , R. Vieira-Martins , D. N. da Silva Neto

Nowadays, many extrasolar planetary systems possessing at least one planet on a highly eccentric orbit have been discovered. In this work, we study the possible long-term stability of such systems. We consider the general three body problem…

Earth and Planetary Astrophysics · Physics 2016-12-09 Kyriaki I. Antoniadou , George Voyatzis

The Plane of our Galaxy is regularly observed by the INTEGRAL satellite by means of scheduled scans. We present here results from the IBIS/ISGRI instrument using data from the first two Galactic Plane Scans performed at the end of the…

An initial three-station version of the Event Horizon Telescope, a millimeter-wavelength very-long baseline interferometer, has observed Sagittarius A* (Sgr A*) repeatedly from 2007 to 2013, resulting in the measurement of a variety of…

The apparent positions of planets are determined by means of the fundamental ephemerides, the precession-nutation models of the Earth, the gravitational effects and aberrations et al. Around 2000, many astrometrical conceptions, models and…

Earth and Planetary Astrophysics · Physics 2015-08-25 Chol Jun Kim , Kyong Il Pak , Sin Chol Hwang , Chol Min Choe , Jin Hyok Choe , Ui Ri Mun

All future lunar missions require a definition of the lunar reference system and a realization in the form of the lunar reference frame to ensure consistent products for positioning, navigation, cartography, and timing. This paper defines…

Earth and Planetary Astrophysics · Physics 2025-10-20 Krzysztof Sośnica , Agnès Fienga , Dmitry Pavlov , Nicolas Rambaux , Radosław Zajdel

We simulate the observations of proper motion of stars very close to the Galactic Center. We show that the speckle interferometry done with the Keck II telescope is accurate enough to obtain orbital parameters for stars with the period P…

Astrophysics · Physics 2009-10-31 M. Jaroszynski

Interplanetary Coronal Mass Ejections are the manifestation of solar transient eruptions, which can significantly modify the plasma and magnetic conditions in the heliosphere. They are often preceded by a shock, and a magnetic flux rope is…

Solar and Stellar Astrophysics · Physics 2015-03-23 Miho Janvier , Sergio Dasso , Pascal Demoulin , Jimmy Masias-Meza , Noe Lugaz