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**Session 82 - Globular Clusters.**

*Display session, Wednesday, January 17*

*North Banquet Hall, Convention Center*

## [82.16] Two Body Elastic Collision Integral

*H. Chiu, H. Chiu (GSFC)*
We have evaluated the most general form of nonrelativistic energy
transfer rate collision integral \epsilon
=\int f_1(p_1)d^3p_1\int f_2(p_2)d^3p_2\int \triangle E \sigma
v dØmega(\theta,\phi) where (\vecp_1,\vecp_2),
(\vecp_1',\vecp_2') and
(\vecv_1,\vecv_2), (\vecv_1',\vecv_2')
are respectively the momenta and velocities of the two particles
of masses m_1,m_2 before and after collision, whose differential
distribution functions are f_1(p_1) and f_2(p_2) and \triangle E
=E(p_1'-E(p_1)=-[E(p_2')-E(p_2)] is the energy transfer,
v=|\vecv_1-\vecv_2|=|\vecv_1'-\vecv_2'|.
\sigma is the differential scattering cross section and
dØmega(\theta,\phi) is the solid angle element in the direction
(\theta,\phi). Our result covers all types
of cross sections which can be expressed as a series containing
a_nmv^nP_m(\cos \theta) where -\infty

**Program
listing for Wednesday**