Since this is a popular textbook, many solutions have been discussed in detail online:
which describes a straight line in flat spacetime. moore general relativity workbook solutions
* A General Relativity Workbook -- Online Student Manual. * A General Relativity Workbook -- Online Student Manual. Pomona College Online Student Manual Since this is a popular textbook, many solutions
When working through the solutions for black hole orbits, pay close attention to the "Effective Potential" diagrams. Moore emphasizes the visual intuition of orbits just as much as the calculus. Since this is a popular textbook
where $\lambda$ is a parameter along the geodesic, and $\Gamma^\mu_{\alpha\beta}$ are the Christoffel symbols.