Why is the hole 2.6 million solar masses?
This is maybe routine and not terribly interesting but could somebody please explain how the figure of 2.6 million solar masses is calculated from the orbit. As a rough estimate, the semimajor axis is 950 AU and the orbital period is 15.2 years. Perhaps the semimajor axis is 940 AU but that should not make a big difference. When I calculate it I do not get their figure---I must be doing something wrong.
From the observatory's press release:
http://www.eso.org/outreach/press-r...2/pr-17-02.html
[[The superb data also allow a precise determination of the orbital parameters (shape, size, etc.). It turns out that S2 reached its closest distance to SgrA* in the spring of 2002, at which moment it was only 17 light-hours [5] away from the radio source, or just 3 times the Sun-Pluto distance. It was then moving at more than 5000 km/s, or nearly two hundred times the speed of the Earth in its orbit around the Sun. The orbital period is 15.2 years. The orbit is rather elongated - the eccentricity is 0.87 - indicating that S2 is about 10 light-days away from the central mass at the most distant orbital point [7]...
In fact, model calculations now indicate that the best estimate of the mass of the Black Hole at the centre of the Milky Way is 2.6 ± 0.2 million times the mass of the Sun.]]
A French National Center for Space Research press release:
http://www.cnrs.fr/cw/en/pres/compress/trouNoir.htm
[[An international team (1) has recently observed a star very close to the central object using the Very Large Telescope of the European Southern Observatory (ESO) in Chile. The researchers used the adaptive optics system NAOS (2) equipped with the infrared camera CONICA installed on the telescope whose diameter is 8.2 meters. On the basis of observations made from 1992 to 2001 with the New Technology Telescope (3.6 m in diameter) of the ESO at La Silla, Chile, and of the data obtained with NAOS and CONICA as the star (S2) was passing closest to SgrA*, they have been able to reconstruct its trajectory. The trajectory is an ellipse of 11 light-days by 5.5 light-days, and, when closest to SgrA*, the star is at a distance of 17 light-hours, i.e. 124 astronomical units (three times the distance between the Sun and Pluto; 1 AU = 150 million kilometers). The star completes its orbit in 15.2 years. Analysis of this trajectory would imply that the central object is a 2.6 (±0.2) million solar mass object...
Researcher contact:
Daniel Rouan
Laboratoire d'études spatiales et d'instrumentation en astrophysique
(CNRS-Observatoire de Paris -CNES)
e-mail:
daniel.rouan@obspm.fr]]