Table 5: Probable basic physical properties of ${\upsilon }$ Sgr based on orbital solution 4 of Table 3 derived for three possible values of the orbital inclination. Tabulated are masses M1 and M2, the semi-major axis A, Roche-lobe radii  $R^{\rm Roch}_1$ and  $R^{\rm Roch}_2$, and the minimum and maximum angular dimensions of the semi-major axis  $a_{\rm min.}$ and  $a_{\rm max.}$ derived for the range given by the Hipparcos parallax and its error $p=0\hbox{$.\!\!^{\prime\prime}$ }00195$ $\pm $  $0\hbox{$.\!\!^{\prime\prime}$ }00072$.
Element $i=70^\circ$ $i=50^\circ$ $i=30^\circ$
M1 ($M_{\odot}$) 2.95 5.45 19.6
M2 ($M_{\odot}$) 4.64 8.56 30.8
A ($R_{\odot}$) 220.7 270.8 414.8
$R^{\rm Roch}_1$ ($R_{\odot}$) 73.7 90.3 138.4
$R^{\rm Roch}_2$ ($R_{\odot}$) 92.0 112.8 172.9
$a_{\rm min.}$ ( $^{\prime\prime}$) 0.0013 0.0015 0.0024
$a_{\rm max.}$ ( $^{\prime\prime}$) 0.0027 0.0034 0.0052

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