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This review article considers some of the most common methods used in astronomy for regressing one quantity against another in order to estimate the model parameters or to predict an observationally expensive quantity using trends between…

Instrumentation and Methods for Astrophysics · Physics 2012-10-24 S. Andreon , M. A. Hurn

Automated sky surveys frequently report sparse-in-time multiband photometric observations of asteroids passing through their fields of view. Photometric data are currently available for tens of thousands of asteroids, and new data…

Earth and Planetary Astrophysics · Physics 2026-05-22 Oriel Humes , Jessica Agarwal

Although not designed as an astrometric instrument, Kepler is expected to produce astrometric results of a quality appropriate to support many of the astrophysical investigations enabled by its photometric results. On the basis of data…

Instrumentation and Methods for Astrophysics · Physics 2010-01-05 David G. Monet , Jon M. Jenkins , Edward W. Dunham , Stephen T. Bryson , Ronald L. Gilliland , David W. Latham , William J. Borucki , David G. Koch

Accurate astrometry is crucial for determining orbits of near-Earth-asteroids (NEAs) and therefore better tracking them. This paper reports on a demonstration of 10 milliarcsecond-level astrometric precision on a dozen NEAs using the Pomona…

A moment approach for orbit determinations of astrometric binaries from astrometric observations alone has been recently studied for a low signal-to-noise ratio (Iwama et al. 2013, PASJ, 65, 2). With avoiding a direct use of the…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Kei Yamada , Masaki Yamaguchi , Hideki Asada , Naoteru Gouda

Due to instrumental limitations, the nature of which vary from case to case, spectroscopic galaxy redshift surveys usually do not collect redshifts for all galaxies in the population of potential targets. Especially problematic is the…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-27 Davide Bianchi , Licia Verde

We provide a scheme to correct asteroid astrometric observations for star catalog systematic errors due to inaccurate star positions and proper motions. As reference we select the most accurate stars in the PPMXL catalog, i.e., those based…

Earth and Planetary Astrophysics · Physics 2015-06-22 D. Farnocchia , S. R. Chesley , A. B. Chamberlin , D. J. Tholen

Unevenly spaced time series are common in astronomy because of the day-night cycle, weather conditions, dependence on the source position in the sky, allocated telescope time, corrupt measurements, for example, or be inherent to the…

Instrumentation and Methods for Astrophysics · Physics 2014-02-03 Lorenzo Rimoldini

Asteroid shape inversion using photometric data has been a key area of study in planetary science and astronomical research.However, the current methods for asteroid shape inversion require extensive iterative calculations, making the…

Earth and Planetary Astrophysics · Physics 2025-04-02 YiJun Tang , ChenChen Ying , ChengZhe Xia , XiaoMing Zhang , XiaoJun Jiang

We present theoretical analysis of the astrometric searches for extrasolar planets with the Space Interferometry Mission (SIM). Particularly, we derive a model for the future measurements with SIM and discuss the problem of reliable…

Astrophysics · Physics 2007-05-23 Maciej Konacki , Andrzej J. Maciejewski , Alex Wolszczan

Photometric light curves suffer from fundamental degeneracies that limit surface information recovery. We demonstrate that astrometry enables access to complementary information through photocentre variations induced by rotating surface…

Solar and Stellar Astrophysics · Physics 2026-04-06 Conaire Deagan , Benjamin T. Montet

It is believed that some numerical technique must be employed for the determination of the system parameters of a visual binary or a star with a planet because the relevant equations are not only highly nonlinear but also transcendental…

Astrophysics · Physics 2015-06-24 Hideki Asada , Toshio Akasaka , Masumi Kasai

Given a set of astrometric observations of the same object, the problem of orbit determination is to compute the orbit and to assess its uncertainty and reliability. For the next generation surveys, with much larger number density of…

Despite numerous successful missions to small celestial bodies, the gravity field of such targets has been poorly characterized so far. Gravity estimates can be used to infer the internal structure and composition of small bodies and, as…

Instrumentation and Methods for Astrophysics · Physics 2022-02-15 Jacopo Villa , Andrew French , Jay McMahon , Daniel Scheeres , Benjamin Hockman

A new method for the line-of-sight velocity estimation of a high-speed near-Earth object (asteroid, meteorite) is suggested. The method is based on use of fractional, one-half order derivative of a Doppler signal. The algorithm suggested is…

Earth and Planetary Astrophysics · Physics 2015-06-17 V. D. Zakharchenko , I. G. Kovalenko

Small aperture telescopes provide the opportunity to conduct high frequency, targeted observations of near-Earth Asteroids that are not feasible with larger facilities due to highly competitive time allocation requirements. Observations of…

Earth and Planetary Astrophysics · Physics 2021-07-30 Samuel L. Jackson , Ulrich C. Kolb , Simon F. Green

Astrometric detection of an unseen companion is based on analysis of apparent motion of its host star around the system's barycentre. Systems with orbital period close to one year may escape detection if orbital motion of their host stars…

Earth and Planetary Astrophysics · Physics 2018-04-26 Alexey G. Butkevich

Due to the high-precision nature of the ASTROD (Astrodynamical Space Test of Relativity using Optical Devices) mission concept, the asteroid perturbations on the ASTROD spacecraft is crucial. These perturbations need to be modelled and…

Astrophysics · Physics 2007-05-23 Chien-Jen Tang , Wei-Tou Ni

Stellar activity strongly affects and may prevent the detection of Earth-mass planets in the habitable zone of solar-type stars with radial velocity technics. Astrometry is in principle less sensitive to stellar activity because the…

Solar and Stellar Astrophysics · Physics 2020-12-09 N. Meunier , A. -M. Lagrange , S. Borgniet

A general purpose fitting model for one-dimensional astrometric signals is developed, building on a maximum likelihood framework, and its performance is evaluated by simulation over a set of realistic image instances. The fit quality is…

Instrumentation and Methods for Astrophysics · Physics 2013-05-20 M. Gai , D. Busonero , R. Cancelliere