188 GRAVITATIONAL METHODS [Chap. 7 



(2) From positions 1 and 3 : 

 rii — ns = Ai_3 = 2hUys 



n'l — n's = Ai'_3 = —hUyz — b\/3 U^t 

 nl' — nl' = Ai'1.3 = —hUyz + b\/3 l^xz 



(3) From positions 1 and 4 : 



fix — n'i = A(_4 = 4:a.Uxy + hUyz — hUxz 



Til — W4 = Ai_4 = — 2af/a^ + a-y/s t^A 



ni 



nl" = Ai'^4 = —2a.Uxy — aV3 U^ 



+ |(V3-l)C/v. + ^(V3 + l)C^. 



(4) From positions 2 and 3 : 

 n2 — ns = A2_3 = — 4a[7iy + hUyz — bC7a 

 n2' — n's = A2-3 = 2a.Uxv — aVs ?7a 



|(V3 + l)C/,,-|(V3-l)C/, 



712 



n's" = A2-3 = 2&Uxy + aVs f/^ 



+ ^(\/3-l)?7„, + ^(V3 + l)C/. 



(5) From positions 2 and 4: 



n2 — 714 = A2_4 = — 2bt/x2 



ria' — n4 = A2_4 = — 2b\/3 f/vs + bf/xi 

 712 — 714 = A2-4 = ^-b^/S Uyt + bC/„ 



(6) From positions 3 and 4 : 



m — rii = A3_4 = A&Uxy — hUyz — hUi 

 n'z - n'l = AsU = -2BiUxy + a\/3 U^ 



-^(V3-l)f/,. + |(V3 + l)C/. 



713 — 7i4 = A3_4 = —2a.Uxy — a V 3 Ut 



H-^(V3 + l)C/v.-|(V3-l)C/. 



