Exact solutions for angular motion of coaxial bodies and attitude dynamics of gyrostat-satellites

Dynamics of the torque-free angular motion of gyrostat-satellites and dual-spin spacecraft are examined. New analytical solutions for the angular moment components are obtained in terms of Jacobi elliptic functions. Also analytical solutions for Euler's angles are found. These solutions can be used for a dual-spin spacecraft and gyrostat-satellites attitude dynamics analysis and synthesis.

► General dynamics of the free coaxial bodies system, gyrostat and dual-spin spacecraft is examined.
► New analytical solutions for angular moment components are obtained in Jacobi elliptic functions.
► Analytical solutions for Euler's angles are found.
► Solutions can be used for dual-spin spacecraft and gyrostat-satellites motion analysis.