By Joe Rao and SPACE.com

$M(r)=\int_0^r 4\pi x^2 \rho(x) dx$

$\ddot{\vec{r}}=-GM(r)\frac{\vec{r}}{r^3}$

Stars Just Got Bigger

A 300 Solar Mass Star Uncovered

Using a combination of instruments on ESO’s Very Large Telescope, astronomers have discovered the most massive stars to date, one weighing at birth more than 300 times the mass of the Sun, or twice as much as the currently accepted limit of 150 solar masses. The existence of these monsters — millions of times more luminous than the Sun, losing weight through very powerful winds — may provide an answer to the question “how massive can stars be?”

$\frac{dm(r)}{dr}=4\pi r^2 \rho(r)$————质量方程

$m(r)=\int_0^R 4\pi r^2 \rho(r)dr$

(图片说明：船底座星云，版权:NASA, ESA, and the Hubble SM4 ERO Team )

(图片说明：超新星遗骸E0102-72，版权:X-ray - NASA / CXC / MIT / D.Dewey et al., NASA / CXC / SAO / J.DePasquale; Optical - NASA / STScI )

(参宿四高分辨率图片， 版权：欧洲南方天文台)