C. IV. 
65 
298] 
513 
298. 
REPORT ON THE PROGRESS OF THE SOLUTION OF CERTAIN 
SPECIAL PROBLEMS OF DYNAMICS. 
[From the Report of the British Association for the Advancement of Science, 1862, 
pp. 184—252.] 
My “ Report on the Recent Progress of Theoretical Dynamics ” was published in the 
Report of the British Association for the year 1857, [195]. The present Report (which is 
in some measure supplemental thereto) relates to the Special Problems of Dynamics : to 
give a general idea of the contents, I will at once mention the heads under which 
these problems are considered ; viz., relating to the motion of a particle or system of 
particles, we have 
Rectilinear Motion ; 
Central Forces, and in particular 
Elliptic Motion ; 
The Problem of two Centres ; 
The Spherical Pendulum ; 
Motion as affected by the Rotation of the Earth, and Relative Motion in general ; 
Miscellaneous Problems ; 
The Problem of three bodies. 
And relating to the motion of a solid body, we have 
The Transformation of Coordinates ; 
Principal Axes, and Moments of Inertia ; 
Rotation of a Solid Body ; 
Kinematics of a Solid Body ; 
Miscellaneous Problems.