کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10419153 903470 2005 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Explicit integration of one problem of motion of the generalized Kowalevski top
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Explicit integration of one problem of motion of the generalized Kowalevski top
چکیده انگلیسی
In the problem of motion of the Kowalevski top in a double force field the four-dimensional invariant submanifold of the phase space was pointed out by [Kharlamov, M.P., 2002. Mekh. Tverd. Tela 32, 33-38]. We show that the equations of motion on this manifold can be separated by the appropriate change of variables, the new variables s1, s2 being elliptic functions of time. The natural phase variables (components of the angular velocity and the direction vectors of the forces with respect to the movable basis) are expressed via s1, s2 explicitly in elementary algebraic functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mechanics Research Communications - Volume 32, Issue 5, September–October 2005, Pages 547-552
نویسندگان
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