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The evolutionary initiation dynamics of triggered planetary structure formation is indeed a complex process yet to be well understood. We herein develop a theoretical classical model to see the gravitational fragmentation kinetics of the viscoelastic non-ideal magneto-hydrodynamic (MHD) fabric. The inhomogeneous planetary disk is primarily composed of heavier dust grains (strongly correlated) together with relatively lighter electrons, ions and neutrals (weakly correlated) in a mean-fluidic approximation. A normal harmonic mode analysis results in a quadratic dispersion relation of a unique shape. It is demonstrated that the growth rate of the MHD fluctuations (magnetosonic) contributing to the planet formation rate, apart from the wave vector and its projection orientation, has a pure explicit dependency on the viscoelastic parameters. The analysis specifically shows that the effective generalized viscosity (χ), viscoelastic relaxation time (τm), and K-orientation (θ) play as destabilizing agencies against the non-local gravitational disk collapse. The relevancy is briefly indicated in the real astronomical context of bounded planetary structure formation and evolution.

The gravitoelectrostatic sheath (GES) model for exploring the surface emission mechanism of the solar wind plasma (SWP), transformed from the solar interior plasma (SIP) via the solar surface boundary (SSB), has recently been reformulated in different conditions. It considers the realistic plasma key factors previously remaining unaddressed. This continued study elaborately explores the diverse GES-microphysical features influenced mainly by the plasma non-thermality, bulk polytropicity, magneto-activity, logatropicity, etc. It shows that, in the SIP (SWP), the electric potential is κ-insensitive, the Mach number is κ-sensitive, and the current density is κ-sensitive (insensitive). The Mach number is insensitive and the current density is insensitive (sensitive) to the relative temperature, Te/Ti, in the SIP (SWP). The inhomogeneity-induced GES properties are illuminated with the gradient-scale behaviours of the relevant physical variables on both SIP and SWP scales. The self-organization of the bi-scaled solar plasma system is well confirmed by mapping the electric and gravity field gradients in a defined colour phase space illustratively alongside reliability check-ups. A judicious application of the newly derived model-structuring equations results in a non-thermally modified form of the equivalent κ-Bohm sheath criterion featuring the GES formation alongside electric current-flow analyses. Its reliability is validated with a sensible comparison with the extremal cases in fair corroboration with the previous sheath scenarios extensively reported elsewhere. The relevancy of our investigation on the solar multiparametric variations in the GES fabric is lastly bolstered in light of the recent solar astronomic scenarios, such as SolO and PSP.