Vectors, Tensors and Linear
Consider a vector 1: in the plane 1R2 written in terms of its components :3 and
:1: = mlel + $262 : miei (1.1)
The vectors el and eg in (1.1) form what is called a basis of the linear vec
The trajectory of a point particle is described by a curve r05) in Euclidean ,
3 ' ' N g _ 44"
space R (see Flg. 2.1).
1/ (if, A > \
Fig. 2.1 / is
The velocity and the acceleration a(t) are given respectively by 5/ f
Many Particle Systems
Consider a system of N pointparticles, of masses mg), a = 1, . . . ,N in arbitrary
motion. Let K be an inertial frame and K be an arbitrary moving frame (Fig.
20.1); Ta and 7'; be the position vectors of the a-th particl
The Kepler Problem
This problem is dened by the equation of motion
a? : "-71:3 5
where p is the linear momentum of a particle of mass m, 7' is its position vector,
and a is a positive constant. Eq. (5.1) represents a set of three sec