Roche Potentials Including Radiation Effects

Details Roche Potentials Including Radiation Effects Roche Potentials Including Radiation Effects

Dec 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972ap%26ss..19..351s&link_type=abstract

Astrophysics and Space Science, Volume 19, Issue 2, pp.351-358

Astronomy and Astrophysics

Astrophysics

62

Scientific paper

A modified Roche potential which incorporates the effects of radiation pressure due to one component of a binary system is mathematically explored. In some cases, the resulting potentials do not exhibit the familiar contact surfaces of the classical Roche potential. The concept of a contact surface, which has been fundamental to the investigations of close binary systems, must be used with discretion for close binaries in which one component is very luminous. A convenient criterion for the existence of a contact surface is given by (1-μ) ≃ 3δc 3/2 (1 - 2(tfrac{2}{3})^4 δ _c ), (δc≪1) where μ is the mass of the very luminous star in terms of the system mass. For systems of given μ, no contact surface exists if δ is greater than δc where δ is the ratio of radiation pressure force to gravitational attraction. Furthermore, energy considerations of the modified Roche potential indicate that binary systems with δ < δc should have a greater tendency to form rings than those with δ < δc.

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