Alessio Bocci

The Differential Equations of Gravity-free Double Pendulum: Lauricella Hypergeometric Solutions and Their Inversion

Alessio Bocci & Giovanni Mingari Scarpello · Asian Research Journal of Mathematics · 2022

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 governed by the initial conditions only. The relevant strongly non linear ODEs have been put back to hypere...

Open access Research Article 10.9734/arjom/2022/v18i330362

Analytic Inversion of Closed form Solutions of the Satellite’s J2 Problem

Alessio Bocci & Giovanni Mingari Scarpello · Asian Research Journal of Mathematics · 2021

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 J2 spherical zonal harmonic. The equatorial track of satellite motion- assuming the co-latitude φ fixed...

Open access Research Article 10.9734/arjom/2021/v17i530299