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A graphical and an algebraic demonstration is made to show why the slope and zero point of the Cepheid period-luminosity (P-L) relation is rigidly coupled with the slope and zero point of the Cepheid instability strip in the HR diagram. The…

Astrophysics · Physics 2009-06-23 Allan Sandage , G. A. Tammann

The Gaia second Data Release (DR2) presents a first mapping of full-sky RR Lyrae stars and Cepheids observed by the spacecraft during the initial 22 months of science operations. The Specific Object Study (SOS) pipeline, developed to…

We present new spatial models and distance estimates for globular clusters (GC) and dwarf spheroidals (dSphs) orbiting our Galaxy based on RR Lyrae (RRab) stars in the Pan-STARRS1 (PS1) 3$\pi$ survey. Using the PS1 sample of RRab stars from…

We use double-mode RR Lyrae (RRd) stars from the MACHO variable star database of the Large Magellanic Cloud (LMC) to estimate its distance, by utilizing photometric data, linear pulsation and stellar atmosphere models. If we set…

Astrophysics · Physics 2007-05-23 G. Kovacs

Cepheids are key distance indicators and benchmarks for stellar evolution, yet most of them are members of binary or multiple systems. While spectroscopic surveys and Gaia proper-motion anomalies reveal a high binary fraction, the…

Solar and Stellar Astrophysics · Physics 2026-04-08 A. Gallenne , P. Kervella , N. R. Evans , J. Milli , E. Sivkova , W. Gieren , G. Pietrzyński , G. Bras , V. Hocdé , W. Kiviaho , N. Nardetto , B. Pilecki , B. Zgírski

Globular clusters are both primary fossils of galactic evolution and formation and are ideal laboratories for constraining the evolution of low-mass and metal-poor stars. RR Lyrae and type II Cepheid variables are low-mass, radially…

Solar and Stellar Astrophysics · Physics 2022-02-16 Anupam Bhardwaj

Classical Cepheids provide the foundation for the empirical extragalactic distance ladder. Milky Way Cepheids are the only stars in this class accessible to trigonometric parallax measurements. However, the parallaxes of Cepheids from the…

A probabilistic approach has been used in combination with the parallax data from Gaia (e)DR3 to calibrate Period-Luminosity-(Abundance) (PLZ) Relations covering a wide range of visual to Infrared observations of RR Lyrae stars. Absolute…

Astrophysics of Galaxies · Physics 2023-03-07 K. Looijmans , J. Lub , A. G. A. Brown

The cosmological distance ladder crucially depends on classical Cepheids (with P=3-80 days), which are primary distance indicators up to 33 Mpc. Within this volume, very few SNe Ia have been calibrated through classical Cepheids, with…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-16 G. Fiorentino , G. Clementini , M. Marconi , I. Musella , A. Saha , M. Tosi , R. Contreras Ramos , F. Annibali , A. Aloisi , R. van der Marel

We establish fundamental bounds on subwavelength resolution for the radar ranging problem, ``super radar''. Information theoretical metrics are applied to probe the resolution limits for the case of both direct electric field measurement…

Optics · Physics 2024-06-04 Andrew N. Jordan , John C. Howell

We use parallax data from the Gaia second data release (GDR2), combined with parallax data based on Hipparcos and HST data, to derive the period-luminosity-metallicity (PLZ) relation for Galactic classical cepheids (CCs) in the V,K, and…

Solar and Stellar Astrophysics · Physics 2018-11-07 M. A. T. Groenewegen

Recent work on the luminosities of type II Cepheids (CephIIs) and RR Lyrae variables is reviewed.In the near infrared (JHKs) the CephIIs in globular clusters show a narrow, linear, period-luminosity relation over their whole period range…

Astrophysics of Galaxies · Physics 2009-12-22 Michael Feast

We present HST photometry of a selected sample of 50 long-period, low-extinction Milky Way Cepheids measured on the same WFC3 F555W, F814W, and F160W-band photometric system as extragalactic Cepheids in SN Ia hosts. These bright Cepheids…

Calibration of the period-luminosity relation (PLR) for Cepheids has always been one of the biggest goals of stellar astronomy. Among a considerable number of different approaches, the Baade-Becker-Wesselink (BBW) method stands in the…

Astrophysics of Galaxies · Physics 2019-12-02 Yaroslav A. Lazovik , Alexey S. Rastorguev , Marina V. Zabolotskikh , Natalia A. Gorynya

We present new period-luminosity and period-luminosity-metallicity relations for Galactic RR Lyrae stars based on a sample of 28 pulsators located at distances up to $1.5$ kpc from the Sun. Near-infrared photometry was obtained at the Cerro…

We reconsider calibration of statistical distance scales for planetary nebulae, examining precision and systematic error for various distance methods used as well as the scales themselves. A different calibration strategy, one based on…

Solar and Stellar Astrophysics · Physics 2015-06-22 Haywood Smith

We derive Bayesian distances for all stars in the RV sample of Gaia DR2, and use the statistical method of Schoenrich, Binney & Asplund(2012) to validate the distances and test the Gaia parallaxes. In contrast to other methods, which rely…

Astrophysics of Galaxies · Physics 2019-06-05 Ralph Schönrich , Paul McMillan , Laurent Eyer

Let $M$ be a hyperbolic Riemann surface with the first eigenvalue $\lambda_1(M)>0$. Let $\rho$ denote the distance from a fixed point $x_0\in{M}$ and $r_x$ the injectivity radius at $x$. We show that there exists a numerical constant…

Complex Variables · Mathematics 2025-05-12 Bo-Yong Chen , Yuanpu Xiong

Classical Cepheids (DCEPs) serve as fundamental standard candles for measuring cosmic distances and investigating the structure and evolution of the Milky Way disc. However, accurate distance estimation faces challenges due to severe…

Astrophysics of Galaxies · Physics 2025-01-31 Huajian Wang , Xiaodian Chen

We introduce the telescopic relative entropy (TRE), which is a new regularisation of the relative entropy related to smoothing, to overcome the problem that the relative entropy between pure states is either zero or infinity and therefore…

Mathematical Physics · Physics 2011-04-28 Koenraad M. R. Audenaert
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