Three-Body Problem with Variable Masses that Change Anisotropically at Different Rates

In this paper we consider a general case of the three-body problem with variable masses that change anisotropically at different rates. Due to the change of masses reactive forces appear which significantly complicate the problem. Equations of motion of the system have been derived in Jacobi coordinates for the first time. Using these equations of motion and applying the methods of perturbation theory in modified Jacobi and Delaunay elements, we have obtained canonical equations of perturbed motion of the system in the presence of reactive forces. Canonical system of equations for secular perturbations in the three-body problem with variable masses changing anisotropically was derived in explicit form in terms of the analogues of the second system of Poincaré elements. An approximate analytical solution of the differential equations for secular perturbations was obtained by Picard’s method.     

Conjugate conversion of methanol and n-butane on zinc-zirconium catalysts

Conversion of n-butane, methanol, and their mixture on ZSM-5 zeolite catalysts containing zinc and/or zirconium was studied, and ways were found to control the yield and ratio of major reaction products: C₁-C₃ alkanes, C₂-C₄ alkenes, C₅-C₇ isoalkanes, and arenes. The schemes of formation of these products were suggested.     

Conversion of Straight-Run Naphtha to C5−C6 Alkanes on Co(Ni)/HZSM–5/SO 4 2- —ZrO2 Composite Catalysts

Russian Journal of Applied Chemistry - The conversion of straight-run naphtha on composite catalytic systems containing HZSM-5 zeolite modified with 0.4 wt % Co or Ni and 15% SZ (10% SO 4 2-...