Stability in dynamical astronomy

stability and attraction domains of traffic equilibria in day-to-day dynamical system formulation

در این پژوهش مسئله واگذاری ترافیک را از دید سیستم های دینامیکی فرمول بندی می کنیم.فرض کرده ایم که همه فاکتورهای وابسته در طول زمان ثابت باشند و تعادل کاربر را از طریق فرایند منظم روزبه روز پیگیری کنیم.دینامیک ترافیک توسط یک نگاشت بازگشتی نشان داده می شود که تکامل سیستم در طول زمان را نشان می دهد.پایداری تعادل و دامنه جذب را توسط مطالعه ویژگی های توپولوژیکی تکامل سیستم تجزیه و تحلیل می کنیم.پاید...

Transport in Dynamical Astronomy and Multibody Problems

We combine the techniques of almost invariant sets (using tree structured box elimination and graph partitioning algorithms) with invariant manifold and lobe dynamics techniques. The result is a new computational technique for computing key dynamical features, including almost invariant sets, resonance regions as well as transport rates and bottlenecks between regions in dynamical systems. This...

American Astronomical Society – Division on Dynamical Astronomy

Currently, there are more than 100 confirmed multiple-planet systems. Moreover, a recent study by Kepler has identified 361 multiple-planet candidate systems. Investigating these systems would give us an important clue in understanding formation and evolution of planetary systems. In such multiple-planet systems, secular interactions among planets could play a significant role in determining th...

American Astronomical Society Division on Dynamical Astronomy

[1.01] Asteroids: Radar Observations and Dynamics S. J. Ostro (JPL/Caltech) Radar delay-Doppler measurements are powerful for refining asteroid orbits because they have extremely fine fractional precision and are orthogonal to optical angle astrometry. Radar detection of a newly discovered near-Earth asteroid (NEA) secures its orbit and can add centuries to the interval over which its close Ear...

Dynamical Stability in Lagrangian