The problem
A star can expand until its companion is orbiting inside the same huge cloud of gas. The two stellar cores then move through that shared envelope. Will they push the gas away and survive as a close pair, or keep spiraling toward a merger?
The open problem is to predict which outcome occurs and, if the cores survive, how far apart they finish. Energy released during the encounter can help remove the gas, but energy that escapes as radiation may not do that work.[1]
When one star's expanding envelope engulfs its companion, the cores orbit inside shared gas. The task is to predict whether the envelope becomes unbound—able to escape—and the final separation of any surviving pair, from the binary's initial conditions.
As the orbit contracts, it can transfer energy to the gas. Recombination, when ions regain electrons, can release additional energy. Whether that energy helps eject the envelope depends on where it is released and how effectively it remains in the gas instead of escaping as radiation. A useful model must follow energy transport as well as the total budget.[1]
Scope
Quantitative envelope ejection and final separation in common-envelope binary evolution, including energy transport and loss.
What remains open
Models succeed in some cases, but how heat escapes and helps eject the gas remains uncertain.[1]
Why it matters
This episode can decide whether two stars merge or survive close enough to interact again later. The surviving separation helps determine what kind of binary system they can become.
That makes the problem consequential beyond a single dramatic encounter: predictions of populations of close binaries depend on how often the gas is successfully expelled and where the surviving cores end up.[1] [2]
Common-envelope evolution connects the earlier lives of two stars to the survival and separation of a close binary. Uncertain ejection and final-separation predictions therefore affect estimates of how many close systems with compact remnants can form.
Reconstructing observed binaries provides one way to test the proposed histories. Those constraints depend on assumptions about the stars' other evolutionary stages, so a tension with a simple ejection-efficiency model can identify missing physics or inadequate bookkeeping without implying a failure of energy conservation.[1] [2]
Definitions
3 terms
shared envelope
Gas from an expanded star that surrounds both members of a binary during a common-envelope episode.[1]
Recombination
When ions regain electrons, energy is released. Whether that energy helps eject gas depends on how it is transported or lost.[1]
unbound
In this setting, gas that has enough energy to escape the binary’s gravitational hold.[1]
Sources
- Simulations of common-envelope evolution in binary stellar systems: physical models and numerical techniques
Notes on Simulations of common-envelope evolution in binary stellar systems: physical models and numerical techniques
Review preserves successful ejections and explains energy-transport and final-state uncertainties.
- A Path to Constraints on Common Envelope Ejection in Massive Binaries: Full Evolutionary Reconstruction of Three Black Hole X-ray Binaries
Notes on A Path to Constraints on Common Envelope Ejection in Massive Binaries: Full Evolutionary Reconstruction of Three Black Hole X-ray Binaries
Accepted ApJ manuscript, revised April 26; reconstructs three systems within specified evolutionary assumptions.