Conserved vectors for the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\)
The conditions under which the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\) admits conserved vectors are determined, the orbit equation derived and some illustrative examples given.
two-dimensional autonomous Hamiltonian systems
scientific article; zbMATH DE number 4024852
scientific article