\magnification=\magstep1


$$
{\rm total\ mechanical\ energy\ } \quad = \quad  KE \ + \ GPE 
$$

$$
R_A \quad = \quad \left( {{ M_B}\over{M_A + M_B}} \right) \thinspace a
$$

$$
R_B \quad = \quad \left( {{ M_A}\over{M_A + M_B}} \right) \thinspace a
$$

$$
M_A \thinspace \left( {{{v_A}^2}\over{R_A}} \right) \quad = \quad {{G M_A M_B}\over{a^2}} 
$$

$$
v_A \quad = \quad \sqrt {   {{G M_B}\over{a}} \thinspace 
                           \left( {{M_B}\over{M_A + M_B}} \right) }
$$

$$
v_B \quad = \quad \sqrt {   {{G M_A}\over{a}} \thinspace 
                           \left( {{M_A}\over{M_A + M_B}} \right) }
$$








\bye
