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"tracing the trajectory" is a correct and usable phrase in written English.
It can be used to describe the act of following or mapping out the path or course of something. Example: The scientists spent years tracing the trajectory of the comet as it moved through the solar system.
Exact(14)
In this last instance, they do the rest of us a service by tracing the trajectory that a swath of people cut through history, and vice versa.
But in tracing the trajectory of the PCB plume, the trail inexorably led to the stark stone building on the water's edge, about 100 yards from the G.E. factory.
Tracing the trajectory of her collaborations, session work and tours makes for a laundry list of notably compelling names from the past three decades of underground and alternative music.
The Britain of 2013 is a vastly different place from that of 1963; and, in tracing the trajectory of the NT over the past 50 years, one is inevitably drawn into examining the state of the country.
Tracing the trajectory of the radical German art and design school from its founding in Dessau by Walter Gropius in 1919 to its closure in Berlin in 1933, the exhibition Bauhaus: Art as Life is superb.
This moves it to a colonial phase, tracing the trajectory of Catherine's relationship to the son of a nawab and other matters, which actually holds more urgency than the narrative of the first half.
Similar(46)
By tracing the trajectories of particles, MD simulations can deliver the whole picture for dynamic evolution, obtaining the macroscopic characteristics for the simulation system.
This will involve turning away from the current focus on tracing the trajectories of adverse events, towards tracing the network of connections enabling safety to be maintained.
The play, told in reverse, traces the trajectory of an affair between two married people, Emma Oliviaa Colman and Jerry Andrew Scotttt).
It cannot tell each of us individually how we might trace the trajectory that is allotted to us.
The group's career path perfectly traces the trajectory of the rock form from rebellion, to assimilation by the mainstream, to corporatism; from meaning to empty spectacle.
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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