Binary--Single-Star Scattering. VII. Hard Binary Exchange Cross Sections for Arbitrary Mass Ratios: Numerical Results and Semianalytic FITS

Abstract

view Abstract Citations (96) References (18) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Binary--Single-Star Scattering. VII. Hard Binary Exchange Cross Sections for Arbitrary Mass Ratios: Numerical Results and Semianalytic FITS Heggie, Douglas C. ; Hut, Piet ; McMillan, Stephen L. W. Abstract We present the first comprehensive fitting formula for exchange reactions of arbitrary mass ratios. In a comparison with numerical results, this expression is shown to be accurate in the hard binary limit to within 25% for most mass ratios. The result will be useful in forming quantitative estimates for the branching ratios of various exchange reactions in astrophysical applications. For example, it can be used to construct quantitative formation scenarios for unusual objects in globular clusters, such as binaries containing a pulsar. Publication: The Astrophysical Journal Pub Date: August 1996 DOI: 10.1086/177611 Bibcode: 1996ApJ...467..359H Keywords: STARS: BINARIES: GENERAL; CELESTIAL MECHANICS; STELLAR DYNAMICS; STARS: PULSARS: GENERAL; STARS: EVOLUTION full text sources ADS | Related Materials (6) Part 1: 1983ApJ...268..319H Part 2: 1983ApJ...268..342H Part 3: 1993ApJ...403..256H Part 4: 1993ApJS...85..347H Part 5: 1993ApJ...403..271G Part 6: 1996ApJ...467..348M