I am studying this useful material about Fourier transformation, I am wondering if the "Trajectory" keyword meaning is the same as an Actual Time Series? or are there a slight difference between them? will be grateful if there's a direct explanation, Thankyou in Advance

In the section " Fourier Transform":

The Fourier Transform sees

everytrajectory (aka time signal, aka signal)as a set of circular motions.

So yes, in that document *trajectory* means the *signal* to process, which is typically a time series (although you could use FT in different contexts, including when the signal is a function of space, temperature, or whatever variable is relevant).

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