Mathematical Sciences: Self-Consistent Models of Triaxial Galaxies

有了这个奖，首席研究员将继续他对椭圆星系的建模和模型问题的解析解。特别是，他将通过Staeckel势来构建椭圆星系的自洽模型。使用Staeckel势的主要原因是，它们允许与现实星系模型的数值模拟中发现的相同的主要轨道族，并且它们导致了数学上容易处理的问题。我们大多数人都熟悉的天文学方面涉及到使用望远镜来观测恒星和星系。另一个鲜为人知的方面涉及建立天体的数学模型，以便更好地了解恒星系统的物理。这项研究涉及到通过描述一个由多个物体相互作用的系统的势来构建和分析椭圆星系的模型。

With this award the principal investigator will continue his modelling of elliptical galactic systems and the analytical solution of the model problems. In particular, he will construct self-consistent models of elliptical galaxies by means of Staeckel potentials. The main reasons for using Staeckel potentials are that they allow the same major orbit families as those found from numerical simulations of realistic galactic models and they lead to mathematically tractable problems. The aspect of astronomy that most of us are familiar with involves the use of telescopes to make observations of stars and galaxies. Another aspect that is less well known involves the construction of mathematical models of celestial objects in order to gain a greater understanding of the physics of stellar systems. This research involves the construction and analysis of a model for elliptical galaxies by means of a potential that describes an interacting system of many bodies.