In this respect, the central-force problem is analogous to the Schwarzschild geodesics in general relativity and to the particles in potentials of spherical symmetry.
22.
Is a subgroup of the Euclidean group, the group of-sphere and all objects with spherical symmetry, if the origin is chosen at the center.
23.
Most Mira variables do exhibit slight cycle-to-cycle changes in period, probably caused by nonlinear behaviour in the stellar envelope including deviations from spherical symmetry.
24.
Their structure is however complicated by the non-spherical symmetry of the SH " anions, but these tumble rapidly in the solid high temperatures.
25.
In three dimensions we can distinguish "'cylindrical symmetry "'and "'spherical symmetry "'( no change when rotating about one axis, or for any rotation ).
26.
Rationalized equations in physics generally have a factor related to the effective spatial symmetry : for planar symmetry, for cylindrical symmetry and for spherical symmetry.
27.
By the very interaction the spherical symmetry of the subsystems is broken, but the angular momentum of the total system remains a constant of motion.
28.
As a consequence, the physical ground state expression is obtained through a shift of the vanishing quantum angular momentum expression, which corresponds to spherical symmetry.
29.
The multipole expansion of the electromagnetic field finds application in a number of problems involving spherical symmetry, for example antennae radiation patterns, or nuclear gamma decay.
30.
The spherical symmetry of the Schwarzschild metric for non-spinning black holes allows one to reduce the problem of finding the trajectories of particles to three dimensions.
