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We created a MAPLE worksheet based on reference [3], using a
general lagrangian and the variational principle to plot several
orbits in the Newtonian and GR regimes. The intention was to have an
idea about what to expect for our orbits, and the exercise was very
instructive and we learned much from this. As the instructor has
pointed out, sometimes is usefull to use a computer algebra package,
such as Maple, to prototype projects and help implementing a much
higher performance code. The worksheet is included in the appendix at
the end of this section.
Benjamin Gutierrez
2005-07-23