Reply on the comments on “on the dynamics of non-rigid asteroid rotation”

Abstract

We have presented here our reply on the comments on our recent article “ON THE DYNAMICS OF NON-RIGID ASTEROID ROTATION”. We would restate again: our partial solution stems from fundamental law of angular momentum conservation for the non-rigid asteroid rotation (where asteroids were considered preferably as deformed ‘rubble pile’ asteroids, not as elastic bodies), meanwhile authors of the aforementioned comments have considered other partial solving procedure which can be associated with commensurable elongations of the asteroid during the deformations. This assumption contradicts the physical nature of most known asteroids (‘rubble pile’ asteroids are known to have a non-elastic internal rheology), therefore as such the solutions of Euler equations for dynamics of non-rigid asteroid rotation, obtained by authors of the comments, does not have real meaning in astrophysical sense. Despite the fact that it is useless in astrophysical area, the suggested strategy or solving procedure for the constructing a new class of special kind of solutions for Euler equations (dynamics of non-rigid elastic body's rotation) can be of partial interest to a journals for theoretical mechanics but not first-class astrophysical journals or journal in the field of celestial mechanics. So, we wish the best for the authors to possible publishing their full solution (not a simple a note, which seems to be “following-in-wake” in regard to our article) where they could discuss additionally the stability of solutions if it is deemed required.