No. 6.| INTRODUCTION. CHRONOMETERS. XXXII 
is the relative velocity of the Satellite, expressed in parts of a, and asr=b. a, 
ele: 
Wont 
will give w, & and & in parts of the Satellite’s radius. 
If S is the time of synodic revolution of the Satellite, @ is determined by 
the equation 
B= & 2. 
The following Table contains these several quantities which formed the 
basis of the calculation; it gives 10 w instead of w because it was convenient 
to multiply both sides of equation (6) by 10. Barnard’s value of Jupiter’s 
equatorial diameter at the distance 5.20 is 38.522. 
| I | II | Ill IV 
Q 0.0745 0.0747 0.0751 0.0758 
log 8 9.2236 9.0227 8.8132 8.5701 
a 0.9951 0.9923 0.9877 0.9783 
yr 1".048 0".874 1".521 1".430 
b 0.0273 0.0229 0.0400 0.0379 
log 10 w 8.9533 8.9291 8.5913 8.4883 
The projected velocity & was calculated for the three inner Satellites at 
intervals of about half a year (a whole number of synodical revolutions in 
every case) from 1893.0 to 1898.5; for Sat. IV whose latest period of eclipses 
began in 1895 it was calculated with intervals of 67 days (4 synodical revolu- 
tions) from 1895.2 to 1897.1. The values which are given below were plotted 
on cross-ruled paper and curves drawn, from which the value could easily be 
taken out for any given eclipse. The Table gives 10 k. 
Sat. I. Sat. II. 
eip R D R 
1893.00 0.0839 —0.0838 | 1893.00 0.0678 —0.0675 
93.50 832 832 93.50 640 639 
94.00 836 837 94,00 641 643 
94.50 848 850 94.49 679 683 
95.00 866 868 94.99 738 742 
95.50 882 884 95.49 795 799 
96.00 894 895 95.98 835 838 
96.50 898 898 96.48 849 849 
97.00 894. 893 96.98 836 833 
97.49 883 881 | 97.47 799 795 
97.99 868 866 97.97 747 743 
98.49 0.0853 —0,0850 98.46 0.0695 —0.0691 
5 
