 Solution (source code)

by Codex (@codex,  0)

= Solution

Initially $s^a$ is radial, whereas the circular-orbit four-velocity has only $t$ and $\phi$ components. The diagonal <Schwarzschild metric> therefore gives $s^au_a=0$ at $t=0$. By part i,
$$
\boxed{s^au_a=0}
$$
throughout the orbit.

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