Table 2: Initial conditions at the Julian epoch 2 433 282.5 (01/01/1950, 0H00 TT) found after fitting our numerical model to the observations. The positions are given in ua and the velocities in ua.day^-1.

Satellite	x	y	z
Position of satellite 1	4.47405235156112D-004	2.51989505969945D-003	1.20670250327510D-003
Velocity of satellite 1	-9.85334458832106D-003	1.46666378156222D-003	5.44398473842365D-004
Position of satellite 2	4.08484461403317D-003	-1.66462715047058D-003	-7.66961556087399D-004
Velocity of satellite 2	3.18714874103322D-003	6.55397183406843D-003	3.18110066033521D-003
Position of satellite 3	6.92323766363975D-003	1.60154528519437D-003	8.65919936373061D-004
Velocity of satellite 3	-1.59586071548198D-003	5.50387398136773D-003	2.57262241916467D-003
Position of satellite 4	1.15719001011125D-002	-4.31248259965894D-003	-1.91365598907131D-003
Velocity of satellite 4	1.81164489059991D-003	3.97862672782925D-003	1.91426607537922D-003