On the existence of symmetric translational-rotational motion in the generalized two-body problem (Q1198370)

The author has examined the invariance of the equations of motion under the symmetry transformations. Equations of motion in Lagrange form have been derived, and it has been shown that these equations admit symmetric solutions. Initial conditions which make the bodies to perform symmetric translations and rotations, have also been established. The article has been nicely presented and is easily comprehensive. It is quite useful for the researchers and scientists working in the field of celestial mechanics. The list of references given at the end of the article indicates that the author has gone thoroughly in the concerned literature. My opinion is that the article is good and is a good contribution to the literature of celestial mechanics.