Gi = (H2/D)r5 + (Hi/D)rj3 " t^ + 0(e) 

 The kinematic counterparts of M, <p, r and P^ are defined as 

 Qg = Mg/p, Qi = M^/p, 



\//g = 0g/p, l/'j_ s ^j^/p, 



(35) 



(36) 



Tg = tJp, Tj^ s Tj_/p, 



Tj3 = '\jp, -VPg/p = gVb, 



The variable b in (36) is the barometric pressure deficit expressed 

 in terms of an equivalent head of water (sometimes referred to as the 

 inverted barometric effect). 



The normal mode equations (11) and (12), therefore, take the 

 form 



aOg/at + fkxQg + gDVvi^g - cgDi/'j_V(H3^/D) = (T^ " Tj^ + gDVb) , 



(37) 

 ai//g/3t + V-Qg - €Qi-V(Hi/D) = , 

 and 



aQ^/at + fkxQi + gr^Vvl/^ + gri)AgV(Hi/D) = (H2/D)Ts + (Hj^/D)Tj3 - T^, 



(38) 

 a^'i/at + V-Q^ + Qg-V(Hi/D) = , 



where T^ is given in (17). 



16 



