1069 
1 (r? sin? 3 w)? 
Ge. SS SSS Gss — r, Guy — r sin? 9 a = == En == 
a a a Seating 
1— — 1 — — — 7’ sin? 3} oa? 
r 5 
a 
fue Ss 
r 
= sn? en a 
a rds As 
b— —— 7? in? do 
r 
1 1 — «/ 
- e I ie 
GG == Gy, == 0, = —— . rr. sin? 9 ——____— - == 
1 a 1—*/,—r? sind w* 
r 
r* sin? } 
OTN 
Since the derivatives of grr are equal to zero in the point P, the 
expressions (5) reduces in that point to 
# 0901 Ògoz | 
Rm p= 1 d 
( ) 2 V9, Oxk 
dar, | 
This gives 
PA 
VG 09 
r sin? 9 2) w 
Vg,,@ Or Vrtsint JP A’ 
Consequently the rotation-vector in P is perpendicular to the 
equatorial plane, and for its absolute value R we find 
(9721707 9) = 0; 
(R°)p =e 
R= VGuRER RVG Azo, te (80) 
According to § 1 p. 1057 this result means, that for an observer 
placed at the earth the sun rotates with an angular velocity w with 
respect to a system of coordinates, in which no Coriolis-forces are 
present, i.e. in which the Galileian law of inertia holds. On the 
other hand, from the point of view of the same observer, the sun 
rotates in the same sense with respect to the fixed stars with an 
angular velocity equal to the product of w and the ratio of the 
time-unit of an observer on the earth and an observer, which is at 
rest at infinite distance from the sun, since, according to the formulae 
in the beginning of this §, w represents the angular velocity of 
the earth round the sun, if the last mentioned time unit is used *). 
1) Originally the writer had simply put the angular velocity of the sun with 
respect to the fixed stars equal to », and as a consequence of this obtained 
he result that EINSTEIN’s theory of gravitation did not claim a non-Newtonian 
