+--+-----------------------+------+--------+---------+---------+----+------+ | 1| 2 | 9 | 10 | 11 | 12 | 13 | 14 | +--+-----------------------+------+--------+---------+---------+----+------+ | | | Motion | Magnitude | Spectrum | | | _Name_ +------+--------+---------+---------+----+------+ | | | [mu] | _W_ | _m_ | _M_ |_Sp_| _m'_ | +--+-----------------------+------+--------+---------+---------+----+------+ | | | |sir./st.| | | | _m'_ | | 1|Proxima Centauri | 3".85| .. | 11m.0 | +13m.9 |.. |13.5 | | 2|[alpha] Centauri | 3.68| - 5 | 0.33 | + 3.2 |G | 1.25 | | 3|Barnards p. m. star | 10.29| -19 | 9.7 | +11.7 |Mb |11.5 | | 4|Lal. 21185 | 4.77| -18 | 7.6 | + 9.1 |Mb | 8.9 | | 5|Sirius | 1.32| - 2 | -1.58 | - 0.3 |A |-1.58 | | 6| .. | 2.72| .. | .. | .. |.. |12.5 | | 7|[tau] Ceti | 1.92| - 3 | 3.6 | + 4.6 |K0 | 4.6 | | 8|Procyon | 1.24| - 1 | 0.48 | + 1.5 |F5 | 0.90 | | 9|C. Z. 5h.243 | 8.75| +51 | 9.2 | +10.1 |K2 |10.6 | |10|61 Cygni | 5.27| -13 | 5.6 | + 6.5 |K5 | 7.2 | |11|Lal. 26481 | 0.47| .. | 7.8 | + 8.7 |G5 | 8.9 | |12|[epsilon] Eridani | 0.97| + 3 | 3.8 | + 4.6 |K0 | 4.8 | |13|Lac. 9352 | 6.90| + 2 | 7.5 | + 8.2 |K | 8.9 | |14|Pos. Med. 2164 | 2.28| .. | 8.9 | + 9.6 |K |10.3 | |15|[epsilon] Indi | 4.70| - 8 | 4.7 | + 5.4 |K5 | 6.3 | |16|Groom. 34 | 2.89| + 1 | 8.1 | + 8.8 |Ma | 9.5 | |17|Oe. A. 17415 | 1.30| .. | 9.1 | + 9.7 |K |10.5 | |18|Krüger 60 | 0.94| .. | 9.2 | + 9.6 |K5 |10.8 | |19|Lac. 8760 | 3.53| + 3 | 6.6 | + 7.0 |G | 7.5 | |20|van Maanens p. m. star | 3.01| .. | 12.3 | +12.7 |F0 |12.9 | |21|Altair | 0.66| - 7 | 0.9 | + 1.2 |A5 | 1.12 | |22|C. G. A. 32416 | 6.11| + 5 | 8.2 | + 8.5 |G | 9.1 | |23|Bradley 1584 | 1.06| - 5 | 6.1 | + 6.2 |G | 6.9 | +--+-----------------------+------+--------+---------+---------+----+------+ | | | |sir./st.| | | | _m'_ | | | Mean | 3".42| 9.1 | 6m.3 | +7m.3 |G6 | 7.5 | +--+-----------------------+------+--------+---------+---------+----+------+
The mean absolute magnitude of the near stars is distributed in the following way:--
_M_ 0 1 3 4 5 6 7 8 9 10 11 12 13 Number 1 2 1 2 1 2 1 4 4 1 1 1 1.
What is the absolute magnitude of the near stars that are not contained in table? Evidently they must principally be faint stars. We may go further and answer that _all stars with an absolute magnitude brighter than 6m_ must be contained in this list. For if _M_ is equal to 6 or brighter, _m_ must be brighter than 6m, if the star is nearer than one siriometer. But we have assumed that all stars apparently brighter than 6m are known and are contained in the list. Hence also all stars _absolutely_ brighter than 6m must be found in table 5. We conclude that the number of stars having an absolute magnitude brighter than 6m amounts to 8.