Nonholonomic motion of solid body about a fixed point in a conservative field of force

1972 ◽  
Vol 8 (7) ◽  
pp. 792-796 ◽  
Author(s):  
S. M. Matveenko
Keyword(s):  
Fixed Point ◽  
Solid Body

Kinematics and mass geometry for a solid body with a fixed point in ℝn

2001 ◽  
Vol 46 (9) ◽  
pp. 663-666
Author(s):  
D. V. Georgievskii ◽  
M. V. Shamolin
Keyword(s):  
Fixed Point ◽  
Solid Body

On the equations of rotation of a solid body about a fixed point

1864 ◽  
Vol 13 ◽  
pp. 52-64
Keyword(s):  
Fixed Point ◽  
Solid Body ◽  
The Body ◽  
Principal Axes ◽  
Usual Notation

In treating the equations of rotation of a solid body about a fixed point, it is usual to employ the principal axes of the body as the moving system of coordinates. Cases, however, occur in which it is advisable to employ other systems; and the object of the present paper is to develope the fundamental formulæ of transformation and integration for any system. Adopting the usual notation in all respects, excepting a change of sign in the quantities F, G, H, which will facilitate transformations hereafter to be made, let A = Σ m ( y 2 + z 2 ), B = Σ m ( z 2 + x 2 ), C= Σ m ( x 2 + y 2 ), -F = Σ myz , -G = Σ mzx , -H = Σ mxy ;

scholarly journals II. On the equations of rotation of a solid body about a fixed point

1863 ◽  
Vol 12 ◽  
pp. 523-524
Keyword(s):  
Fixed Point ◽  
Solid Body ◽  
The Body ◽  
Principal Axes

In treating the equations of rotation of a solid body about a fixed point, it is usual to employ the principal axes of the body as the moving system of coordinates. Cases, however, occur in which it is advisable to employ other systems; and the object of the present paper is to develope the fundamental formulæ of transformation and integration for any system.

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