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The derivation of radial velocities from large numbers of spectra that typically result from survey work, requires automation. However, except for the classical cases of slowly rotating late-type spectra, existing methods of measuring…

Instrumentation and Methods for Astrophysics · Physics 2014-05-20 M. David , R. Blomme , Y. Frémat , Y. Damerdji , C. Delle Luche , E. Gosset , D. Katz , Y. Viala

Just as the ordinary Doppler effect serves as a tool to measure radial velocities of celestial objects, so can the relativistic Doppler effect be implemented to measure a combination of radial and transverse velocities by using recent…

Astrophysics · Physics 2016-01-13 Leonid M. Ozernoy

We explore the radial velocity performance benefits of coupling starlight to a fast-scanning interferometer and a fast-readout spectrometer with zero readout noise. By rapidly scanning an interferometer we can decouple wavelength…

Instrumentation and Methods for Astrophysics · Physics 2015-11-18 Rebecca Jensen-Clem , Philip S. Muirhead , Michael Bottom , J. Kent Wallace , Gautam Vasisht , John Asher Johnson

Longslit spectroscopy is entering an era of increased spatial and spectral resolution and increased sample size. Improved instruments reveal complex velocity structure that cannot be described with a one-dimensional rotation curve, yet…

Cross-correlation of consecutive Doppler images is one of the most common techniques used to detect surface differential rotation (hereafter DR) on spotted stars. The disadvantage of a single cross-correlation is, however, that the expected…

Solar and Stellar Astrophysics · Physics 2015-06-17 Zsolt Kővári , János Bartus , Levente Kriskovics , Krisztián Vida , Katalin Oláh

Doppler effect and Hubble effect in different models of space-time related to the space-time velocity of an observer are considered. The Doppler effect and Doppler shift frequency parameter are connected with the kinematic characteristics…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sawa Manoff

The precise radial velocity technique is a cornerstone of exoplanetary astronomy. Astronomers measure Doppler shifts in the star's spectral features, which track the line-of/sight gravitational accelerations of a star caused by the planets…

Earth and Planetary Astrophysics · Physics 2019-02-06 Jason T. Wright

We develop a technique to measure radial velocities of stars from spectra that present four sets of lines. The algorithm is an extension of the two-dimensional cross-correlation method TODCOR to four dimensions. It computes the correlation…

Astrophysics · Physics 2011-02-11 Guillermo Torres , David W. Latham , R. P. Stefanik

A method involving intensity correlation measurements is described, which allows for the complete removal of Doppler broadening in the emission of electromagnetic radiation from far-away sources that are inaccessible to conventional…

Optics · Physics 2021-04-22 R. Merlin , N. Green , I. Szapudi , G. Tarle

As the first successful technique used to detect exoplanets orbiting distant stars, the Radial Velocity Method aims to detect a periodic Doppler shift in a star's spectrum. We introduce a new, mathematically rigorous, approach to detect…

Earth and Planetary Astrophysics · Physics 2020-05-29 Parker Holzer , Jessi Cisewski-Kehe , Debra Fischer , Lily Zhao

New optical arrangements with two single-mode input fibers and a fiber-optic coupler are devised to measure the instantaneous velocity difference and local velocity. The fibers and the coupler are polarization-preserving to guarantee a high…

Fluid Dynamics · Physics 2016-09-08 S. H. Yao , V. K. Horváth , P. Tong , B. J. Ackerson , W. I. Goldburg

Stellar Doppler velocimetry determines a star's radial velocity $v_r$ via measurement of a redshift, $z$. At precisions below 10 m s$^{-1}$ conversion between the two quantities is complex, and care must be taken to properly account for the…

Instrumentation and Methods for Astrophysics · Physics 2019-01-14 Jason T. Wright

The determination of velocities of stars from precise Doppler measurements is described here using relativistic theory of astronomical reference frames so as to determine the Keplerian and post-Keplerian parameters of binary systems. We…

Astrophysics · Physics 2009-10-31 S. M. Kopeikin , L. M. Ozernoy

The wavelength calibration of spectrographs is an essential but challenging task in many disciplines. Calibration is traditionally accomplished by imaging the spectrum of a light source containing features that are known to appear at…

Instrumentation and Methods for Astrophysics · Physics 2018-04-04 Neil Thomas

Doppler orbitography uses the Doppler shift in a transmitted signal to determine the orbital parameters of satellites including range and range-rate (or radial velocity). We describe two techniques for atmospheric-limited optical Doppler…

Instrumentation and Methods for Astrophysics · Physics 2020-06-09 Benjamin P. Dix-Matthews , Sascha W. Schediwy , David R. Gozzard , Simon Driver , Karl Ulrich Schreibe , Randall Carman , Michael Tobar

Accurately measuring the translations of objects between images is essential in many fields, including biology, medicine, chemistry, and physics. One important application is tracking one or more particles by measuring their apparent…

A distinctive feature of Doppler radar is the measurement of velocity in the radial direction for radar points. However, the missing tangential velocity component hampers object velocity estimation as well as temporal integration of radar…

Computer Vision and Pattern Recognition · Computer Science 2021-08-25 Yunfei Long , Daniel Morris , Xiaoming Liu , Marcos Castro , Punarjay Chakravarty , Praveen Narayanan

Stellar magnetic activity produces time-varying distortions in the photospheric line profiles of solar-type stars. These lead to systematic errors in high-precision radial-velocity measurements, which limit efforts to discover and measure…

We provide formulae for the calculation of precise Doppler velocities of sunlight, in both the case of direct observations of the Sun and in reflection from the surfaces of solar system objects such as the Moon or asteroids. We discuss the…

Earth and Planetary Astrophysics · Physics 2020-08-17 Jason T. Wright , Shubham Kanodia

Recent and upcoming stabilized spectrographs are pushing the frontier for Doppler spectroscopy to detect and characterize low-mass planets. Specifications for these instruments are so impressive that intrinsic stellar variability is…

Instrumentation and Methods for Astrophysics · Physics 2020-05-05 Christian Gilbertson , Eric B. Ford , Xavier Dumusque
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