the coincidence limit 0 0
2
At sgn(A)2 (4-174)
ro 1 + J2/r2
A,-term:.
Similarly, we have
Q[c -2] Po_ -3r (2) to (4-175)
Here, before computing 0, (p2) =to we reverse the steps of Eqs. (4-148), (4-150),
(4-153) and (4-154) to obtain the relation
p2 pI + O[(x Xo)4], (4-176)
where PII is now back to Eq. (4-148). Differentiating this with respect to r and
going through the steps of Eqs. (4-150) and (4-151), Eq. (4-175) can be expressed
with the help of Eq. (4-155) as
Qr[-2] [2 (r2 + J2) x (62 1 os )+ fJE sin cosj .
r" +J2
(4-177)
Then, the rest of the calculation is carried out in the same fashion as in the case of
At-term above. We obtain
A, -sgn(A) (4-178)
r f (1 + J2/r4)
A6-term:.
First we have
Q 2 q2 (4-179)
Q4[e-2] 2_/_o3 c9 /2) tto" (4-179)