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"the trajectory" is a correct and commonly used phrase in written English.
It refers to the path or curve that an object follows. It can be used in a variety of contexts, such as describing the path of a rocket, the career trajectory of a professional athlete, or the trajectory of a friendship. Here is an example sentence: "The trajectory of the ball was carefully calculated by the pitcher to ensure a strike."
Dictionary
the trajectory
noun
The path of a body as it travels through space.
synonyms
Exact(60)
The trajectory was steep.
The trajectory was unpromising.
The trajectory is undeniable.
"We know the trajectory.
Observe the trajectory.
But the trajectory is not linear.
It's the trajectory of the industry".
What is alarming is the trajectory.
Drag retards motion along the trajectory.
"The trajectory changed," he said.
The trajectory here is clear.
More suggestions(6)
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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