1110 
a geodesically moving system of axes is under certain conditions an 
inertialsystem. Therefore we firstly write out the equations (4) for 
the linear element d/. 
Since 
1” | Bett iy, at ka in” A, ki == 4 rein” " 
r r r p 
0 
ia = — 1’ sind cos 6, fs | = + r* sin Ô cos 0, „ (6) 
0 p 
00 Or 
tje [Je 
the other symbols of CrrisrorreL being zero, we have 
del jest BU, rt — sin? Og" — rt 
# r 
a % ay ae py Sites ae (7) 
O=r sin? Op 2rsin® Or p + Ar’ sin 6 cos 6 pd 
0=r 6 —r sin cos 6 gy? + rr. 
A motion, satisfying these equations is the circular motion : 
r= R= constant, p'=o' mi En (8) 
SIRE WE rb ea et ae 
When we consider only motions, deviating little from this circular 
Jt 
one, we can put sin 0 = 1, cosO =— — @ and neglect in the first 
equation r? and 6%, in the second one cos@@ and in the third 
one 7 @. Then these equations pass into: 
belt 
O=rpd2rgp (8) 
0—6 — cos p' 
Now we introduce the variables x, y and z by the equations: 
REDE | 
For 2R | 
y Ree 
daarden Oz | es ne AND 
5 — 0 = cos = = 
x, y, 2 form a rectangular system of axes moving with a velocity 
