Phenomenological parameters of the prototype eclipsing binaries Algol, β Lyrae and W UMa

Abstract

The phenomenological parameters of eclipsing binary stars, which are the prototypes of the EA, EB and EW systems are determined using the expert complex of computer programs, which realizes the NAV ("New Algol Variable") algorithm (Andronov , 2012 and its possible modifications are discussed, as well as constrains for estimates of some physical parameters of the systems in a case of photometric observations only, such as the degree of eclipse, ratio of the mean surface brightnesses of the components. The half-duration of the eclipse is 0.0617 (7), 0.1092(18) and 0.1015 (7) for Algol, β Lyrae and W UMa, respectively. The brightness ratio is 6.8±1.0, 4.9±1.0 and 1.15±0.13. These results show that the eclipses have distinct begin and end not only in EA (as generally assumed), but also in EB and EW -type systems as well. The algorithm may be applied to classification and study of the newly discovered (or poorly studied) eclipsing variables based on own observations or that obtained using photometric surveys.

MAVKA: Program of statistically optimal determination of phenomenological parameters of extrema. Parabolic spline algorithm and analysis of variability of the semi-regular star Z UMa

“…Для виявлення повiльних змiн перiоду та амплiтуди, часто використовують вейвлет-аналiз (wavelet analysis) [44][45][46], який iнодi називають ''спалах-аналiз" та його модифiкацiю -"ковзаючi синуси" (Running Sine, RS) [47]. Комбiнацiя тригонометричного полiнома iз локальним профiлем затемнення [48][49][50] теж не ефективна для розглянутого типу коливань, як i визначення "характерних точок", як перетину постiйного рiвня [51][52].…”

Mathematical Modelling of Astrophysical Objects and Processes

“…The NAV algorithm is effective for all three types of eclipsing variables 44 . In a case of multi-color observations, and additional statistical dependencies, phenomenological modeling allows estimating of physical parameters 45 .…”

Astroinformatics: Statistically Optimal Approximations of Near-Extremal Parts with Application to Variable Stars

“…MAVKA is also used as a method complementary to the approximation of the complete light curves using the NAV ("New Algol Variable") algorithm (Andronov (2012), Tkachenko et al (2016)).…”

“…MAVKA is also used as a method complementary to the approximation of the complete light curves using the NAV ("New Algol Variable") algorithm (Andronov (2012), Tkachenko et al (2016)). An example of such combined study is two eclipsing binaries V454 Dra and V455 Dra in the field of cataclysmic variable DO Draconis is shown by Kim et al (2020).…”