The program Ortocartan for algebraic calculations in relativity has just be
en implemented in the Codemist Standard Lisp and can now be used under the
Windows 98 and Linux operating systems. The paper describes the new facilit
ies and subprograms that have been implemented since the previous release i
n 1992. These are: the possibility to write the output as Latex input code
and as Ortocartan's input code, the calculation of the Ellis evolution equa
tions for the kinematic tensors of how, the calculation of the curvature te
nsors from given (torsion-free) connection coefficients in a manifold of ar
bitrary dimension, the calculation of the Lagrangian from a given metric by
the Landao-Lifshitz method, the calculation of the Euler-Lagrange equation
s from a given lagrangian (only for sets of ordinary differential equations
) and the calculation of first integrals of sets of ordinary differential e
quations of second order (the first integrals are assumed to be polynomials
of second degree in the first derivatives of the functions).