14.
Einstein
and Besso:
Manuscript
on
the
Motion of
the
Perihelion of Mercury
[p.
1]
Gleichungen
der
Grav. in
erster Näherung (1)
[June
1913][1]
[2]
[eq.
1]
á\v
,
+
1
d\A
dx2
c2
d‘
J
dxn
dx"
Kp°di
ds
[3]
ds2
=
-
dx2
-
.
-.
+ c\df
Statischer
Fall
[eq. 2]
Ar44 = Kp0/c02
K
=
Kp0/c02
[eq. 3]
Tabelle des Schwerefeldes für die
erste
Annäherung:
[eq.
4]
Y
-1 0 0 0
0 -1 0 0
0 0 -1 0
0 0 0
1/c20(1+A/r)
g
-1 0 0 0
0 -1 0 0
0 0 -1 0
0 0 0
co2(1-A/r)
[eq.
5]
[eq. 6]
A
=
kM
4k
2KM
[4]
[eq.
7]
g
= -c20 (1
- A/r)
Zweite Annäherung.
[5]
1) YaBd2xB
2)
0 0 0 0
1
3£tp 3^tp
2
fdr
r
dx
did1
r r
dx
dy
0
0
0
0 0 0 0
0 0 0
dV37vP
3)
dr
dx
0 0 0 0
0 0 0
+
A2/c20r4
1
3^pVTp3^Tp
0 0 0
0
-1/r4
0 0
0 0
-1/r4
0
0 0 0
1/c02r4