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In the present paper we will give some new notions, such as {\Delta}-convergence and {\Delta}-Cauchy, by using the {\Delta}-density and investigate their relations. It is important to say that, the results presented in this work generalize…

Classical Analysis and ODEs · Mathematics 2011-09-22 M. Seyyit Seyyidoglu , N. Özkan Tan

First, we study the linear equations in general. Second, we focus our attention in periodic sequences over finite fields and de Bruijn directed graph.

General Mathematics · Mathematics 2013-07-31 Dang Vu Giang

The B-W method is used to determine the distance of Cepheids and consists in combining the angular size variations of the star, as derived from infrared surface-brightness relations or interferometry, with its linear size variation, as…

(ABRIDGED) We have applied the near-IR Barnes-Evans realization of the Baade-Wesselink method as calibrated by Fouque & Gieren (1997) to five metal-poor Cepheids with periods between 13 and 17 days in the Small Magellanic Cloud as well as…

We develop and describe a Bayesian statistical analysis to solve the surface brightness equations for Cepheid distances and stellar properties. Our analysis provides a mathematically rigorous and objective solution to the problem, including…

Astrophysics · Physics 2009-11-07 T. G. Barnes , W. H. Jefferys , J. O. Berger , P. J. Mueller , K. Orr , R. Rodriguez

Systematic search for multiperiodicity in the LMC Cepheids (Moskalik, Kolaczkowski & Mizerski 2004) has led to discovery of low amplitude nonradial modes in a substantial fraction of overtone pulsators. We present detailed discussion of…

Astrophysics · Physics 2008-07-04 P. Moskalik , Z. Kolaczkowski

We have undertaken several projects with the purpose of determining accurate distances to nearby galaxies to calibrate the extragalactic distance scale. Specifically, I describe the DIRECT project which aims to derive the distance to M31…

Astrophysics · Physics 2007-05-23 Alceste Bonanos

We examine the properties of 17 long period (80-180 days) and very luminous (median absolute magnitude of M_I= -7.93 and M_V= -7.03) Cepheids to see if they can serve as an useful distance indicator. We find that these Ultra Long Period…

Astrophysics · Physics 2011-02-11 Jonathan C. Bird , K. Z. Stanek , Jose L. Prieto

Classical Cepheid and RR Lyrae variables are fundamental tracers of cosmic distances and stellar evolution and pulsation. Light curve analysis and pulsation properties of these radially pulsating stars provide stringent tests for…

Solar and Stellar Astrophysics · Physics 2018-06-11 Anupam Bhardwaj

We briefly summarize the BRITE observations of classical Cepheids. Possible detection of modulation in a fundamental mode Cepheid, T Vul, and of additional non-radial modes in first overtone Cepheids, DT Cyg and V1334 Cyg, are reported.

Solar and Stellar Astrophysics · Physics 2017-12-05 R. Smolec , P. Moskalik , N. R. Evans , A. F. J. Moffat , G. A. Wade

On the basis of new theoretical results useful predictions concerning the Period-Luminosity (PLR) and Period-Luminosity-Color (PLCR) relations both for optical and infrared magnitudes are presented. It is shown that, following the…

Astrophysics · Physics 2007-05-23 Ilaria Musella

Homogeneous multi-wavelength observations of classical Cepheids from the forthcoming Rubin-LSST have the potential to significantly contribute to our understanding of the evolutionary and pulsation properties of these pulsating stars.…

In this paper we derive semi-empirical Cepheid period-luminosity (P-L) relations in the Sloan ugriz magnitudes by combining the observed BVI mean magnitudes from the Large Magellanic Cloud Cepheids (LMC) and theoretical bolometric…

Astrophysics · Physics 2019-08-19 C. Ngeow , S. Kanbur

This paper is the augmented notes of a course I gave jointly with Laurent Berger in Rennes in 2014. Its aim was to introduce the periods rings B crys and B dR and state several comparison theorems between{\'e}tale and crystalline or de Rham…

Number Theory · Mathematics 2019-08-23 Xavier Caruso

Classical Cepheids are not only excellent standard candles, but also invaluable tools to test stellar evolution and pulsation theories. Rates of their pulsation period change, quantified usually through $O-C$ diagrams, can be confronted…

Classical Cepheids (DCEPs) play a fundamental role in the calibration of the extra-galactic distance ladder which eventually leads to the determination of the Hubble constant($H_0$) thanks to the period-luminosity ($PL$) and…

Solar and Stellar Astrophysics · Physics 2023-11-08 E. Trentin , V. Ripepi , R. Molinaro , G. Catanzaro , J. Storm , G. De Somma , M. Marconi , A. Bhardwaj , M. Gatto , V. Testa , I. Musella , G. Clementini , S. Leccia

An analytical derivation is presented for computing mass-loss rates of Cepheids by using the method of Castor, Abbott, & Klein (1975) modified to include a term for momentum input from pulsation and shocks generated in the atmosphere. Using…

Astrophysics · Physics 2009-11-13 Hilding R. Neilson , John B. Lester

We review theoretical developments in studies of dense matter and its phase structure of relevance to compact stars. Observational data on compact stars, which can constrain the properties of dense matter, are presented critically and…

Astrophysics · Physics 2008-11-26 Dany Page , Sanjay Reddy

This work presents the study of multiphase relations of classical Cepheids in the Magellanic Clouds for short periods (log P < 1) and long periods (log P > 1). From the analysis, it has been found that the multiphase relations obtained…

Nearly continuous, densely sampled, space-based photometry allows us to recover the finest details in the light variations of stars. The number of such light curves have been increasing rapidly in the last few years thanks to the extended…

Solar and Stellar Astrophysics · Physics 2023-12-18 E. Plachy
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