Modified Theory of Gravitation* 85 



21. In accordance with (3), the force components on the 

 particle m at (#, y, z) are 



or, to a first approximation, neglecting squares and products 

 of setherial velocities, 



,(X,Y,Z) = - m F P (|j,Mg) 



mm'FW d _d_ B\^ 2 /l\ 

 4t U*'Bj/' "dz)dt 3 \r) ; 

 that is 



/ 3(g-*Q 15(y-yT(*-^ )V4y'Y , / 3(«-«0 lSfr-^V-Q V^Y 



I r 5 r 7 A^/ \ ^~ r? A***' 



/ 6 (y-yQ _ 30(g-^)»(y-y) W dy' / 6(s-sQ __ 30Qr-.*/) 2 (*-^) ^ ^ 

 \ r 5 ~ r 7 Aft ^ + V r B r 7 / rf* rft 



30(g-a') ( y -y)( g -/) <fo' <fe' ( /l 3(y-./) 2 \^V 3(y-y , )(a?-.g / ) rfV_ 

 r 7 dt dt + Vr 3 r 5 J <ft 2 r 5 d* 2 



r 5 eft 2 J ' 



with similar expressions for mY, mZ (29) 



22. From these equations it follows that, when two bodies 

 are moving in the same direction through the ?ether, and 

 with the same unacceleraied velocity, the motional forces 

 experienced by the bodies will be equal and opposite. They 

 will not, however, have the same line of action, except when 

 the motion is either in the line of centres or perpendicular 

 thereto. When the common velocity v of the two bodies is 

 in the line of centres, there is repulsion between the bodies 

 amounting to 



J-^ (30) 



When the common velocity v is perpendicular to the line of 

 centres there is attraction amounting to 



3 mm'~F 2 p o ~ mm 



-^v 2 = k^v~, .... (31) 



•x7T r* r 

 where K = lp» (32) 



-±7T 



