Is symbolic integration better than numerical integration in satellite dynamics?

. Abad A . Elipe J . F . San - Juan S . Serrano Is Symbolic Integration better than Numerical Integration

Computer Algebra Systems are developing very fast and it is now possible to use new computational power very efficiently to analytically integrate dynamical systems. However, the task of producing an appropriate program is time consuming and requires a considerable amount of skills and practice. Here the merits of numerical versus computer algebraic approaches are compared in the context of a s...

Numerical Integration in Structural Dynamics

where x is a vector of displacements of structural coordinates, M is a positive definite mass matrix, C is a non-negative definite damping matrix, and K is a non-negative definite stiffness matrix. The nonlinear restoring forces are given in R(x, ẋ) and f ext(t) is a vector of external dynamic loads. At any point in time, t = ti+1 = (i+ 1)h, we may solve for the accelerations in terms of the di...

Symbolic-Numerical Investigation of Gyrostat Satellite Dynamics

Dynamics of gyrostat satellite moving along a circular orbit in the central Newtonian gravitational field is studied. A symbolicnumerical method for determination of all equilibrium orientations of gyrostat satellite in the orbital coordinate system with given gyrostatic torque and given principal central moments of inertia is proposed. A computer algebra method based on the algorithm for the c...

Numerical integration using spline quasi-interpolants

In this paper, quadratic rules for obtaining approximate solution of definite integrals as well as single and double integrals using spline quasi-interpolants will be illustrated. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.

Towards the Integration of Symbolic and Numerical Static Analysis