How close to each other are the stars at the heart of a globular cluster?

 John Saunders, Chairmen of the Hermanus Astronomy Centre, South Africa, recently put the following question to Astronomy Magazine :-
How close to each other are the stars at the heart of a globular cluster, specifically Omega Centauri and would they be too close to each other to have a planetary system?

Their answer was very interesting:-

From: “askastro” ( askastro@kalmbach.com )

Dear Mr. Saunders,

Thank you for sending your question to Astronomy magazine.

We recently published a similar question with a answer in the magazine.

Jay Strader of Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts, responded with the following:

Globular clusters – favorite targets of many backyard astronomers – have stellar environments that differ from our local neighborhood. The nearest known star to the Sun is Proxima Centauri, which may be in a multiple star system with the famous binary Alpha Centauri. Proxima Centauri is about 4.2 light-years away.

Globular clusters are typically a few light-years across but can contain a million or more stars in this tiny volume. Within this region, the average distance between stars is only 0.13 to 0.16 light-year. However, globular clusters become more concentrated toward their centers and more sparse in their outer regions. In the concentrated center (called a “core”), stellar densities can be a factor of 10 higher and the average distance between stars can be as small as 0.03 light-year. To put it in solar system terms, this is about 2,000 times the Earth-Sun distance, or about twice as far away> as Sedna is at its farthest point from the Sun. If we lived in the core of a globular cluster, the night sky would be enthralling, with thousands of stars shining as brightly as Venus appears to us on Earth.

These high stellar densities in globular cluster cores can cause unusual occurrences. Stars can collide with each other, leading to the formation of unexpectedly massive stars called blue stragglers.>

Best regards,

Liz Kruesi

Associate Editor

Astronomy magazine