Generalized three body problem and the instability of the composite objects in binary systems

Details Generalized three body problem and the instability of the composite objects in binary systems Generalized three body problem and the instability of the composite objects in binary systems

2011-09-15

arxiv.org/abs/1109.3314v1

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

5 pages, submitted to MNRAS

Scientific paper

Generalized three body problem is investigated with one of the point masses replaced with spherical body of finite size. The model provides simplified description of the Thorne-Zytkov objects, protoplanets, red supergiants and other core-halo structures in binary systems. Proposed description closely resemble the planar restricted circular three body problem. Mechanical system includes two point masses and third spherical body with prescribed density. Only purely gravitational interactions are considered. System is shown to be unstable due to parametric resonance between orbital and internal frequencies. The central compact object can be ejected if resonance occur during the evolution of the system. Some interesting conclusions from this discovery are presented. In particular, these findings may be important for core-collapse supernova theory, because helium core might be placed off-center relative to the hydrogen envelope. The instability is also possible during protoplanet growth, with hypothetical ejection of the rocky core from gas giants and formation of the "puffy planets". For sake of curiosity I note, that the Earth-Moon, and the Earth-Sun systems are stable in the above sense, so no hope for mankind exist in case of artificial black hole formation in the course of e.g. LHC experiment.

Affiliated with

Also associated with

No associations

Rating

Generalized three body problem and the instability of the composite objects in binary systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized three body problem and the instability of the composite objects in binary systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized three body problem and the instability of the composite objects in binary systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673371