RMxAA

Revista Mexicana de Astronomía y Astrofísica

ISSN: 3061-8649
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Keywords

Cataclysmic Binaries: Mass Transfer
Cataclysmic Binaries: Orbital Periods
Cataclysmic Binaries: Accretion Disks
Cataclysmic Binaries: Eclipsing Binaries
ACCRETION
ACCRETION DISKS
NOVAE
CATACLYSMIC VARIABLES

How to Cite

On the mass transfer - orbital period relation in cataclysmic variables. (1994). Revista Mexicana De Astronomía Y Astrofísica, 28(1), 125-137. https://astronomia.unam.mx/journals/rmxaa/article/view/1994rmxaa..28..125e

Abstract

A simple method to obtain mass transfer rates in cataclysmic variables is discussed. The temperature T(R) of a steady accretion disc varies as R-3/4, leading to a connection between the accretion rate, the external radius Re and the mean temperature of the disc, M ∝ Re3 Tm4. We find that if the disc size is a roughly constant fraction of the binary separation then Re ∝ P2/3 and < ∝ Tm4 P2. We argue from theoretical and observational reasons that there is no correlation between Tm and P, leading to the conclusion that M ∝ P2. Since the radius of the secondary star is a function of the orbital period, we find that the mass transfer is directly proportional to the surface area of the companion star: M ∝ A8. We use emission lines and photometry to estimate Tm and to calculate mass transfer rates for a large sample of cataclysmic variables, and compare the results with other authors.
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