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The phrase 'unpredictable trajectory' is correct and can be used in written English
You can use this phrase to refer to an event, action, or situation that is difficult to predict the direction of or the final outcome of. For example, "The pandemic has sent the global economy on an unpredictable trajectory, with no certain end in sight."
Exact(9)
Between session tracks, he sketched the unpredictable trajectory of his career and life.
So goes the unpredictable trajectory of Pieter Hugo's body of work "The Hyena & Other Men".
"Once I found out about the disease, you think, 'Well O.K., this has a very unpredictable trajectory,' " Mr. Russell said.
In this oral history the principal cast and creative team of "Beverly Hills 90210" and the central players behind the new "90210" recall the unpredictable trajectory of an improbable television franchise.
In many autonomous mobile robotic missions the complete and fast coverage of the workspace, scanned by an unpredictable trajectory, plays a crucial role.
The proposed approach mimics the lightning attachment procedure including the downward leader movement, the upward leader propagation, the unpredictable trajectory of lightning downward leader, and the branch fading feature of lightning.
Similar(51)
Without lane markings, gyratory drivers then take unpredictable trajectories toward Fleet Street and back along the Strand.
The most prominent is sensitivity dependence on initial conditions and system parameters, and unpredictable trajectories.
This result points either to rather unpredictable trajectories of quality development or the further need of improvement of the observational tool.
Innovation is a complex process; or rather, it is complexity itself: education, teaching, training – obviously – must (should) be its supporting pillars, not mere instruments emerging downstream of the processes of change to correct any unexpected and/or unpredictable trajectories or discontinuities.
Time-lapse imaging of fluorescent ENCDCs in organ culture reveals that the ENCDCs in these chains climb on each other and have unpredictable trajectories (218).
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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