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- Q2056396 subject Q5894358.
- Q2056396 subject Q7144650.
- Q2056396 abstract "In astronomy, the distance to a visual binary star may be estimated from the masses of its two components, the size of their orbit, and the period of their orbit about one another. A dynamical parallax is an (annual) parallax which is computed from such an estimated distance.To calculate a dynamical parallax, the angular semi-major axis of the orbit of the stars is observed, as is their apparent brightness. By using Newton's generalisation of Kepler's Third Law, which states that the total mass of a binary system multiplied by the square of its orbital period is proportional to the cube of its semi-major axis, together with the mass-luminosity relation, the distance to the binary star can then be determined.With this technique, the masses of the two stars in a binary system are estimated, usually as the mass of the Sun. Then, using Kepler's laws of celestial mechanics, the distance between the stars is calculated. Once this distance is found, their distance from the observer can be found via the arc subtended in the sky, giving a preliminary distance measurement. From this measurement and the apparent magnitudes of both stars, the luminosities can be found, and from the mass–luminosity relationship, the masses of each star. These masses are used to re-calculate the separation distance, and the process is repeated. The process is iterated many times, and accuracies as high as 5% can be achieved. The mass–luminosity relationship can also be used to determine the lifetime of stars by noting that lifetime is approximately proportional to M/L. One finds that more massive stars live shorter lives. A more sophisticated calculation of lifetime factors in a star's loss of mass over time.".
- Q2056396 wikiPageWikiLink Q111124.
- Q2056396 wikiPageWikiLink Q11423.
- Q2056396 wikiPageWikiLink Q124313.
- Q2056396 wikiPageWikiLink Q126017.
- Q2056396 wikiPageWikiLink Q165074.
- Q2056396 wikiPageWikiLink Q171594.
- Q2056396 wikiPageWikiLink Q184274.
- Q2056396 wikiPageWikiLink Q1907452.
- Q2056396 wikiPageWikiLink Q2088182.
- Q2056396 wikiPageWikiLink Q333.
- Q2056396 wikiPageWikiLink Q3349524.
- Q2056396 wikiPageWikiLink Q37640.
- Q2056396 wikiPageWikiLink Q4130.
- Q2056396 wikiPageWikiLink Q5894358.
- Q2056396 wikiPageWikiLink Q7144650.
- Q2056396 wikiPageWikiLink Q7187833.
- Q2056396 wikiPageWikiLink Q83219.
- Q2056396 wikiPageWikiLink Q861555.
- Q2056396 wikiPageWikiLink Q8963.
- Q2056396 wikiPageWikiLink Q935.
- Q2056396 comment "In astronomy, the distance to a visual binary star may be estimated from the masses of its two components, the size of their orbit, and the period of their orbit about one another. A dynamical parallax is an (annual) parallax which is computed from such an estimated distance.To calculate a dynamical parallax, the angular semi-major axis of the orbit of the stars is observed, as is their apparent brightness.".
- Q2056396 label "Dynamical parallax".