Abstract
Deodhar has assumed the non-diagram lines $K{\ensuremath{\beta}}_{3}$, $K{\ensuremath{\beta}}^{\ensuremath{'}\ensuremath{'}\ensuremath{'}}$ and $K\ensuremath{\eta}$ to be satellites of the diagram line $K{\ensuremath{\alpha}}_{1}$, and not satellites of the diagram line $K{\ensuremath{\beta}}_{1}$ which they seem to accompany. His conclusion is due to the linearity of the satellite semi-Moseley graph, which results when $K{\ensuremath{\alpha}}_{1}$, and not $K{\ensuremath{\beta}}_{1}$, is considered to be the parent line of $K{\ensuremath{\beta}}_{3}$, $K{\ensuremath{\beta}}^{\ensuremath{'}\ensuremath{'}\ensuremath{'}}$ and $K\ensuremath{\eta}$. In the present note, the linearity of satellite data is shown to be entirely fortuitous. A study of the errors involved supports this conclusion. If we assume that these three non-diagram lines are really satellites of $K{\ensuremath{\beta}}_{1}$, the $\frac{\ensuremath{\Delta}\ensuremath{\nu}}{R}$ values which result, are of the same order of magnitude as the $\frac{\ensuremath{\Delta}\ensuremath{\nu}}{R}$ values for other satellites. The conclusion is that $K{\ensuremath{\beta}}_{3}$, $K{\ensuremath{\beta}}^{\ensuremath{'}\ensuremath{'}\ensuremath{'}}$ and $K\ensuremath{\eta}$ are probably satellites of the diagram line $K{\ensuremath{\beta}}_{1}$.
Published Version
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