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"a trajectory" is a perfectly correct word and is usable in written English.
You can use it when referring to the path, or route, something or someone is following, or is likely to follow. For example, "The path the company is taking seems to be a successful trajectory."
Exact(60)
"It's become a trajectory.
What makes a trajectory a meaningful one?
It gave a trajectory to his career.
George Osborne's budgets follow a trajectory.
A trajectory tracking control strategy is presented.
It is on a trajectory to get worse.
You start out with a trajectory, a direction.
"There was a trajectory of collaboration of many years".
SCORECARD The spot presents a trajectory of Mr. Obama's biography.
Under the sole influence of gravity, a trajectory is parabolic.
Now, for such a trajectory what is happening?
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com