%0 Journal Article %1 scheeres2015stability %A Scheeres, D J %D 2015 %J Proceedings of the International Astronomical Union %K astronomy hills_mechanism %N S318 %P 128-134 %R 10.1017/S174392131500719X %T Hill Stability of Configurations in the Full N-Body Problem %U https://www.cambridge.org/core/product/identifier/S174392131500719X/type/journal_article %V 10 %X Rigorous results on Hill Stability for the classical <italic>N</italic> -body problem are in general unknown for <italic>N</italic> ≥ 3, due to the complex interactions that may occur between bodies and the many different outcomes which may occur. However, the addition of finite density for the bodies along with a rigidity assumption on their mass distribution allows for Hill stability to be easily established. In this note we generalize results on Hill stability developed for the Full 3-body problem and show that it can be applied to the Full <italic>N</italic> -body problem. Further, we find that Hill Stability concepts can be applied to identify types of configurations which can escape and types which cannot as a function of the system energy.

@article{scheeres2015stability, abstract = {Rigorous results on Hill Stability for the classical <italic>N</italic> -body problem are in general unknown for <italic>N</italic> ≥ 3, due to the complex interactions that may occur between bodies and the many different outcomes which may occur. However, the addition of finite density for the bodies along with a rigidity assumption on their mass distribution allows for Hill stability to be easily established. In this note we generalize results on Hill stability developed for the Full 3-body problem and show that it can be applied to the Full <italic>N</italic> -body problem. Further, we find that Hill Stability concepts can be applied to identify types of configurations which can escape and types which cannot as a function of the system energy.}, added-at = {2024-05-08T21:51:08.000+0200}, author = {Scheeres, D J}, biburl = {https://www.bibsonomy.org/bibtex/2f94e1b040ff7c48f70e974c4be072745/tabularii}, doi = {10.1017/S174392131500719X}, interhash = {e77fa1225c1525769c4f8857cbc4cc54}, intrahash = {f94e1b040ff7c48f70e974c4be072745}, journal = {Proceedings of the International Astronomical Union}, keywords = {astronomy hills_mechanism}, number = {S318}, pages = {128-134}, timestamp = {2024-05-10T12:00:19.000+0200}, title = {Hill Stability of Configurations in the Full N-Body Problem}, url = {https://www.cambridge.org/core/product/identifier/S174392131500719X/type/journal_article}, volume = 10, year = 2015 }