Statistics – Applications
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aas...20923001s&link_type=abstract
2007 AAS/AAPT Joint Meeting, American Astronomical Society Meeting 209, #230.01; Bulletin of the American Astronomical Society,
Statistics
Applications
Scientific paper
The Roche model has served for a long time as a fundamental tool to study the interactions and observational characteristics of the components of gravitational two-body systems. More often than not, applications of this model are built on the assumption that the orbit of the system is circular and that the system components are rotating synchronously with the orbital motion. Under this assumption, the components can be treated as static with respect to the co-rotating frame of reference, and the shapes of their equipotential surfaces are constant in time.
When eccentricity and/or asynchronicity are included in the derivation of the Roche potential, such a frame of reference no longer exists and the equipotential surfaces are no longer constant in time. In this case, the ballisitic trajectories of matter passing through the inner Lagrangian point must take into account the change in the potential due to the motion of the donor. In this presentation, we will discuss the typical orbits that can be obtained by matter passing through the inner Lagrangian point for a variety of initial conditions. In addition, depending on the parameters of the orbit, we find that it is energetically possible for mass being transferred through the inner Lagrangian point to escape from the system. Thus, we also investigate the possibility of non-conservative mass transfer in eccentric binaries.
This work is supported by a NASA Graduate Student Research Fellowship to J.S.
Kalogera Vassiliki
Sepinsky Jeremy Francis
Willems Bart
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