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The next generation of exoplanet-hunting spectrographs should deliver up to an order of magnitude improvement in radial velocity precision over the standard 1 m/s state of the art. This advance is critical for enabling the detection of…

We provide a preliminary estimate of the performance of reflex astrometry on Earth-like planets in the habitable zones of nearby stars. In Monte Carlo experiments, we analyze large samples of astrometric data sets with low to moderate…

Earth and Planetary Astrophysics · Physics 2011-02-11 Robert A. Brown

This paper presents OCTOPUS, a relativistic ray-tracing algorithm developed within a Fortran-based, OpenMP-accelerated framework, designed for asymptotically flat, spherically symmetric curved spacetimes. The code efficiently and accurately…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Shiyang Hu , Shijie Tan , Dan Li , Lina Zhang , Chen Deng , Wenfu Cao

This paper presents a computationally efficient optimization algorithm for solving nonconvex optimal control problems that involve discrete logic constraints. Traditional solution methods for these constraints require binary variables and…

Optimization and Control · Mathematics 2021-07-16 Danylo Malyuta , Behcet Acikmese

The mutual orbital alignment in multiple planetary systems is an important parameter for understanding their formation. There are a number of elaborate techniques to determine the alignment parameters using photometric or spectroscopic…

Earth and Planetary Astrophysics · Physics 2021-12-29 Holger M. Müller , Panagiotis Ioannidis , Jürgen H. M. M. Schmitt

We present spectroscopic followup observations of binary systems from the Gaia Data Release 3 (DR3) binary catalog that were selected to have large enough mass functions for their companions to be black holes or neutron stars. The selection…

We propose a new approach to Bayesian prior probability distributions (priors) that can improve orbital solutions for low-phase-coverage orbits, where data cover less than approximately 40% of an orbit. In instances of low phase coverage…

Earth and Planetary Astrophysics · Physics 2019-06-12 K. Kosmo O'Neil , G. D. Martinez , A. Hees , A. M. Ghez , T. Do , G. Witzel , Q. Konopacky , E. E. Becklin , D. S. Chu , J. Lu , K. Matthews , S. Sakai

We improve upon the running time for finding a point in a convex set given a separation oracle. In particular, given a separation oracle for a convex set $K\subset \mathbb{R}^n$ contained in a box of radius $R$, we show how to either find a…

Data Structures and Algorithms · Computer Science 2015-11-06 Yin Tat Lee , Aaron Sidford , Sam Chiu-wai Wong

As next-generation imaging instruments and interferometers search for planets closer to their stars, they must contend with increasing orbital motion and longer integration times. These compounding effects make it difficult to detect faint…

To fully constrain the orbits of low mass circumstellar companions, we conduct combined analyses of the radial velocity data as well as the Gaia and Hipparcos astrometric data for eight nearby systems. Our study shows that companion-induced…

Access to astronomical data through archives and VO is essential but does not solve all problems. Availability of appropriate software for analyzing the data is often equally important for the efficiency with which a researcher can publish…

Instrumentation and Methods for Astrophysics · Physics 2010-04-27 P. Grosbol , D. Tody

This paper presents a cross-calibrated catalog of Hipparcos and Gaia astrometry to enable their use in measuring changes in proper motion, i.e., accelerations in the plane of the sky. The final catalog adopts the reference frame of the…

Solar and Stellar Astrophysics · Physics 2018-12-12 Timothy D. Brandt

Given a separation oracle for a convex set $K \subset \mathbb{R}^n$ that is contained in a box of radius $R$, the goal is to either compute a point in $K$ or prove that $K$ does not contain a ball of radius $\epsilon$. We propose a new…

Data Structures and Algorithms · Computer Science 2020-04-10 Haotian Jiang , Yin Tat Lee , Zhao Song , Sam Chiu-wai Wong

While radial velocity surveys have demonstrated that the population of gas giants peaks around $3~\text{au}$, the most recent high-contrast imaging surveys have only been sensitive to planets beyond $\sim~10~\text{au}$. Sensitivity at small…

Astrometric discovery of sub-stellar mass companions orbiting stars is exceedingly hard due to the required sub-milliarcsecond precision, limiting the application of this technique to only a few instruments on a target-per-target basis as…

Earth and Planetary Astrophysics · Physics 2023-06-21 B. Holl , A. Sozzetti , J. Sahlmann , P. Giacobbe , D. Ségransan , N. Unger , J. B. Delisle , D. Barbato , M. G. Lattanzi , R. Morbidelli , D. Sosnowska

Obtaining pulsar parallaxes via relative astrometry (also known as differential astrometry) yields distances and transverse velocities that can be used to probe properties of the pulsar population and the interstellar medium. Large programs…

Solar and Stellar Astrophysics · Physics 2011-10-13 A. T. Deller , W. F. Brisken , S. Chatterjee , J. M. Cordes , W. M. Goss , G. H. Janssen , Y. Y. Kovalev , T. J. W. Lazio , L. Petrov , B. W. Stappers

Astrometric missions like Gaia provide exceptionally precise measurements of stellar positions and proper motions. Gravitational waves traveling between the observer and distant stars can induce small, correlated shifts in these apparent…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Massimo Vaglio , Mikel Falxa , Giorgio Mentasti , Arianna I. Renzini , Adrien Kuntz , Enrico Barausse , Carlo Contaldi , Alberto Sesana

Creating software dedicated to simulation is essential for teaching and research in Science, Technology, Engineering, and Mathematics (STEM). Physics lecturing can be more effective when digital twins are used to accompany theory classes.…

Physics Education · Physics 2025-11-26 Milagros Delgado , Wladimir E. Banda-Barragán