144
DETERMINATION OF ELLIPTIC ORBITS.
{{c|VIII.
The logarithms of the calculated values of the intervals of time exceed those of the given values by .0002416 for the first interval () and .0002365 for the second (). Therefore, since the corrections for aberration have been incorporated in the data, we set for the correction of the formula (for the second hypothesis)
|
This gives
|
The new values of the logarithms of are
|
Applying these corrections to equations [1] we get the following:
corrected. | ||
| ||
| ||
|
+ .002887 | –.0000217 | |||||||
2.5142140 | 2.5145027 | 2.5144810 | ||||||
.4282377 | .4282816 | .4282782 | ||||||
8.3838110 | 8.3838793 | 8.3838894 | ||||||
.0103847 | .0103863 | .0103865 | ||||||
.3389910 | .3389784 | .3389796 | ||||||
1.2866654 | 1.2868124 | 1.2868024 | ||||||
.0249593 | .0249619 | .0249617 | ||||||
.1241571 |
corrected. | ||
| ||
| ||
|
– .0000955 | +.0000187 | |||||||
2.5704563 | 2.5703608 | 2.5703795 | ||||||
0.4132937 | .4132778 | .4132809 | ||||||
9.0780129 | 9.0780605 | 9.0780513 | ||||||
9.9446418 | 9.9446353 | 9.9446365 | ||||||
.6401725 | .6401487 | .6401532 | ||||||
2.1806412 | 2.1805261 | 2.1805482 | ||||||
.1827615 | .1827481 | .1827507 | ||||||
.3579174 |
- ↑ The corrections may be made without rewriting the equation.