The Generating Function for the Components of the Euler-Poinsot Tensor

被引：0
|
作者：
Burov, A. A. [1 ,2 ]
Nikonova, E. A. [2 ]
机构：
[1] Russian Acad Sci, Federal Res Ctr Comp Sci & Control, Moscow, Russia
[2] Nat Res Univ, Higher Sch Econ, Moscow, Russia
来源：
DOKLADY PHYSICS | 2021年 / 66卷 / 05期
关键词：
Euler-Poinsot tensor; inertia moments of arbitrary order; statistical moments; generating function;
D O I：
10.1134/S1028335821050037
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Generating functions that enable us to calculate the components of the Euler-Poinsot tensor using differentiation are introduced. The role of these functions is similar to the role of generating functions in mathematical statistics, enabling one to calculate statistical moments of any order. The properties of these functions are discussed.
引用
收藏
页码：139 / 142
页数：4
相关论文
共 50 条
  • [1] The Generating Function for the Components of the Euler–Poinsot Tensor
    A. A. Burov
    E. A. Nikonova
    [J]. Doklady Physics, 2021, 66 : 139 - 142
  • [2] ERGODICITY OF THE EULER-POINSOT PROBLEM
    Sinclair, Andrew J.
    Hurtado, John E.
    [J]. ASTRODYNAMICS 2015, 2016, 156 : 1685 - 1694
  • [3] ANALYTICAL SOLUTION OF THE EULER-POINSOT PROBLEM
    Murakami, Cassio
    [J]. JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, 2021, 60 : 25 - 46
  • [4] COMPLETE REDUCTION OF THE EULER-POINSOT PROBLEM
    DEPRIT, A
    ELIPE, A
    [J]. JOURNAL OF THE ASTRONAUTICAL SCIENCES, 1993, 41 (04): : 603 - 628
  • [5] 刚体的拟Euler-Poinsot运动
    刘廷柱
    [J]. 固体力学学报, 1988, (04) : 294 - 302
  • [6] Sensitivity of the Euler-Poinsot Tensor Values to the Choice of the Body Surface Triangulation Mesh
    Burov, A. A.
    Nikonov, V., I
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2020, 60 (10) : 1708 - 1720
  • [7] Euler Cone Aperture in a Special Euler-Poinsot Case
    Ciobanu, Monica
    [J]. EXPLORING THE SOLAR SYSTEM AND THE UNIVERSE, 2008, 1043 : 205 - 207
  • [8] HORI METHOD IN THE PERTURBED EULER-POINSOT PROBLEM
    RODNIKOV, AV
    [J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1986, (02): : 109 - 111
  • [9] SPLITTING OF SEPARATRICES IN PERTURBED EULER-POINSOT PROBLEM
    KOZLOV, VV
    [J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1976, (06): : 99 - 104
  • [10] INTERSECTION OF ASYMPTOTIC SURFACES OF THE PERTURBED EULER-POINSOT PROBLEM
    DOVBYSH, SA
    [J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1987, 51 (03): : 283 - 288
12345