کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1716583 | 1520006 | 2009 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Eulerian equilibria of a triaxial gyrostat in the three-body problem: Rotational Poisson dynamics in Eulerian equilibria with oblateness
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی هوافضا
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Eulerian equilibria of a triaxial gyrostat in the three-body problem: Rotational Poisson dynamics in Eulerian equilibria with oblateness Eulerian equilibria of a triaxial gyrostat in the three-body problem: Rotational Poisson dynamics in Eulerian equilibria with oblateness](/preview/png/1716583.png)
چکیده انگلیسی
We consider the non-canonical Hamiltonian dynamics of a triaxial gyrostat in the three-body problem. By means of geometric-mechanics methods we will study the approximated dynamics that arises when we develop the potential in series of Legendre and truncate the series to the second harmonics. Working in the reduced problem, we will study the existence of equilibria that we will denominate as Euler in analogy with classic results on the topic. In this way, we generalize the classical results on equilibria of the three-body problem and many of those obtained by other authors using more classic techniques for the case of rigid bodies. The instability of Eulerian equilibria is proven in this approximate dynamics if the gyrostat is close to the sphere. Taking into account the oblateness of the primary bodies, the rotational Poisson dynamics of the gyrostat placed at an Eulerian equilibrium and the study of the nonlinear stability of some equilibria is considered. The analysis is done in vectorial form avoiding the use of canonical variables and the tedious expressions associated with them.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Astronautica - Volume 65, Issues 5â6, SeptemberâOctober 2009, Pages 755-765
Journal: Acta Astronautica - Volume 65, Issues 5â6, SeptemberâOctober 2009, Pages 755-765
نویسندگان
J.A. Vera,