8 citations · 9 across the 8 of their papers we have counts for
10 papers
Analytic inversion of closed form solutions of the satellite's problem
Alessio Bocci, Giovanni Mingari Scarpello
This report provides some closed form solutions -- and their inversion -- to a satellite's bounded motion on the equatorial plane of a spheroidal attractor (planet) considering the…
The Differential Equations of Gravity-free Double Pendulum: Lauricella Hypergeometric Solutions and Their Inversion
Alessio Bocci, Giovanni Mingari Scarpello
This paper solves in closed form the system of ODEs ruling the 2D motion of a gravity free double pendulum (GFDP), not subjected to any force. In such a way its movement is governe…
ADCS Preliminary Design For GNB
Alessio Bocci, Giovanni Mingari Scarpello
This work deals with an ADCS model for a satellite orbiting around Earth. The object is to achieve a preliminary design and perform some analysis on it. To do so, a GNB was selecte…
Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces
Alessio Bocci, Giovanni Mingari Scarpello, Daniele Ritelli
We model the dynamical behavior of a three dimensional (3-D) dissipative oscillator consisting of a -block whose vertical fall occurs against a spring and which can also slide h…
Unsteady rotating laminar flow: analytical solution of Navier-Stokes equations
Alessio Bocci, Giovanni Mingari Scarpello, Daniele Ritelli
We provide a integration of Navier-Stokes equations concerning the unsteady-state laminar flow of an incompressible, isothermal (newtonian) fluid in a cylindrical vessel spinning a…
New hypergeometric formulae to arising from M. Roberts hyperelliptic reductions
Giovanni Mingari Scarpello, Daniele Ritelli
In this article we developed a special topic of our pure-mathematics papers concerning the hypergeometric theory. Based upon a Roberts's reduction approach of hyperelliptic integra…
A hypergeometric treatment to explain the nonlinear true behavior of redundant constraints on a straight elastic rod
Giovanni Mingari Scarpello, Daniele Ritelli
In theory and practice of elastic straight rods, the statically indeterminate reactions acted by perfect constraints are commonly believed not to depend on the flexural stiffness $…
On computing some special values of hypergeometric functions
Giovanni Mingari Scarpello, Daniele Ritelli
The theoretical computing of special values assumed by the hypergeometric functions has a high interest not only on its own, but also in sight of the remarkable implications to bot…
The hyperbola rectification from Maclaurin to Landen and the Lagrange-Legendre transformation for the elliptic integrals
Giovanni Mingari Scarpello, Daniele Ritelli, Aldo Scimone
This article describes the main mathematical researches performed, in England and in the Continent between 1742-1827, on the subject of hyperbola rectification, thereby adding some…
Legendre Hyperelliptic integrals, π new formulae and Lauricella functions through the elliptic singular moduli
Giovanni Mingari Scarpello, Daniele Ritelli
This paper, pursuing the work started in [10] and [11], holds six new formulae for π, see equations, through ratios of first kind elliptic integrals and some values of hypergeometr…