Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...282..775k&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 282, no. 3, p. 775-786
Astronomy and Astrophysics
Astrophysics
62
Binary Stars, Dynamic Stability, Orbit Calculation, Orbit Perturbation, Orbital Mechanics, Periodic Variations, Stellar Models, Stellar Orbits, Least Squares Method, Mass Transfer, Mathematical Models, Stellar Mass
Scientific paper
Period changes of such complex structures as contact binaries, are connected with the action of individual physical mechanisms and the stability properties of these systems. In order to get information about these processes, we present a new simple method which can give us the observed values of a period and its rate of change for any cycle E, if an O-C diagram is given. Due to their strong coupling, any period variation in a contact binary implies underlying geometrical and structural changes, which can be described mathematically through a system of four differential equations. The equations are developed on the assumption of conservation of total mass and total angular momentum. Their solution can give us (among other quantities) the required rate of mass transfer between components, in order to satisfy the common equipotential surface condition, at any time.
Kalimeris A.
Rovithis Peter
Rovithis-Livaniou Helen
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