Full Ionisation In Binary-Binary Encounters With Small Positive Energies

Details Full Ionisation In Binary-Binary Encounters With Small Positive Energies Full Ionisation In Binary-Binary Encounters With Small Positive Energies

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006iaujd..14e..35s&link_type=abstract

Modelling Dense Stellar Systems, 26th meeting of the IAU, Joint Discussion 14, 22-23 August 2006, Prague, Czech Republic, JD14,

Mathematics

Probability

Scientific paper

Interactions between binary stars and single stars and binary stars and other binary stars play a key role in the dynamics of a dense stellar system. Energy can be transferred between the internal dynamics of a binary and the larger scale dynamics of the interacting objects. Binaries can be destroyed and created by the interaction. In a binary-binary encounter, full ionisation occurs when both of the binary stars are destroyed in the interaction to create four single stars. This is only possible when the total energy of the system is positive. For very small energies the probability of this occurring is very low and it tends towards zero as the total energy tends towards zero. Here the case is considered for which all the stars have equal masses. An asymptotic power law is predicted relating the probability of full ionisation with the total energy when this latter quantity is small. The exponent, which is approximately 2.31, is compared with the results from numerical scattering experiments. The theoretical approach taken is similar to one used previously in the three-body problem. It makes use of the fact that the most dramatic changes in scale and energies of a few-body system occur when its components pass near to a central configuration. The position, and number, of these configurations is not known for the general four-body problem, however, with equal masses there are known to be exactly five different cases. Separate consideration and comparison of the properties of orbits close to each of these five central configurations enables the prediction of the form of the cross-section for full ionisation for the case of small positive total energy. This is the relation between total energy and the probability of total ionisation described above.

Affiliated with

Also associated with

No associations

Rating

Full Ionisation In Binary-Binary Encounters With Small Positive Energies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Full Ionisation In Binary-Binary Encounters With Small Positive Energies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Full Ionisation In Binary-Binary Encounters With Small Positive Energies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1624787