On the Application of Wesenheit Function in Deriving Distance to Galactic Cepheids

Abstract

In this work, we explore the possibility of using the Wesenheit function to derive individual distances to Galactic Cepheids, as the dispersion of the reddening free Wesenheit function is smaller than the optical period-luminosity (P-L) relation. When compared to the distances from various methods, the averaged differences between our results and published distances range from -0.061 to 0.009, suggesting that the Wesenheit function can be used to derive individual Cepheid distances. We have also constructed Galactic P-L relations and selected Wesenheit functions based on the derived distances. A by-product from this work is the derivation of Large Magellanic Cloud distance modulus when calibrating the Wesenheit function. It is found to be 18.531 \pm 0.043 mag.

ApJS accepted, 9 pages with 4 tables and 9 figures

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• On the distance of the Magellanic Clouds using Cepheid NIR and optical-NIR Period Wesenheit Relations
• The Carnegie Hubble Program: The Leavitt Law at 3.6 and 4.5 micron in the Milky Way
• The Cepheid period -- luminosity -- metallicity relation based on Gaia DR2 data
• The VMC Survey. V. First results for Classical Cepheids
• Large Magellanic Cloud Near-Infrared Synoptic Survey. II. The Wesenheit relations and their application to the Distance scale
• Oxygen, α-element and iron abundance distributions in the inner part of the Galactic thin disc
• The Near-infrared Optimal Distances Method Applied to Galactic Classical Cepheids Tightly Constrains Mid-infrared Period--Luminosity Relations
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• Uncertainties in The Interstellar Extinction Curve and the Cepheid Distance to M101
• Reassessing the Constraints from SH0ES Extragalactic Cepheid Amplitudes on Systematic Blending Bias
• Anchors for the Cosmic Distance Scale: the Cepheids U Sgr, CF Cas and CEab Cas
• Anchors for the Cosmic Distance Scale: the Cepheid QZ Normae in the Open Cluster NGC 6067
• Anchoring the Distance Scale via X-ray/IR Data for Cepheid Clusters: SU Cas
• Updated 24 $\mu \mathrm{m}$ Period-Luminosity Relation Derived from Galactic Cepheids
• OGLE-ing the Magellanic System: Cepheids in the Bridge
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• Distance determination from the Cepheids and RR Lyrae period-luminosity relations
• Wesenheit Function for Galactic Cepheids: Application to the Projection Factors