Talk:Polaris
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The figure for the semimajor axis of the companion, given as 5 AU, is obviously in error. Here's why: a = cuberoot of the total mass times the period squared (say, 30 years). For any reasonable value of M (which can hardly be less than 10 times our sun's, given the luminosity of Polaris A), the size of the orbit comes out at about the distance of Pluto from the sun--not Jupiter!--for having extra mass in the system, causes them to revolve FASTER.
Addendum. When i wrote the foregoing, i didn't have precise figures for Polaris's mass. By the Cepheid relation M = .58 + .24 log P (in days) the mass of the primary should be about 5.29 times the Sun (not 8 to 10, which is more typical of a F-type supergiant of this luminosity). Assuming for the moment that the unseen companion is about 300 times dimmer than the visible primary, this comes out to a mass ratio of about Ma/Ma+Mb of 0.75; & the semimajor axis is 18.35 Astronomical Units (or 18.7, if you use Burnham's period of 30.5 years)...more like the distance of Neptune. (Its eccentricity takes the two stars from 7 to 29 AU separation.) The displacement of the primary amounts to about 4.58 AU, or 426 million miles, presumably the source of the quoted figures (with 290 million miles, given by Burnham, the mass of the companion becomes very small indeed). But this is a small portion of the entire orbit.
This is a good subject for calculating derived figures on, for the values derived from Cepheid equations can be tallied with the observed type F3 main sequence third star; thus the range of distances possible is fairly narrow, in comparison with many other supergiant stars, e.g. Canopus or Rigel.
Dominance of the North?
I once read that a major factor contributing to the dominance of the northern hemisphere in such activities as ocean navigation and widespread colonization and travel was due to the fact that there is a North Star, but no South Star. Has anyone else heard this? --Golbez 21:31, Sep 27, 2004 (UTC)
Join this article?
This article is of the same subject as North star, and Pole star. i think it would be good to join these articles.
- above by 12:54, user:Gxojo at 12:54, 28 Jan 2005
- No, North Star is not about Alpha Ursae Minoris per se. It is about all North Stars, such as will be Vega in the future. And pole star covers both North Star and South Star (or should). Polaris, inappropriately named, covers only Alpha Ursae Minoris. 132.205.15.43 04:00, 1 Feb 2005 (UTC)