The phrase "a subsequent trip" is correct and usable in written English.
It can be used to refer to a trip that occurs after a previous trip or event.
Example: "After our initial visit to Paris, we decided to plan a subsequent trip to explore the French countryside."
Alternatives: "a following trip" or "a later trip".
On a subsequent trip to New York, I saw it everywhere there, too.
Ms. Jolie and Mr. Pitt made a subsequent trip to Kashmir to bring attention to earthquake victims.
But during a subsequent trip to Britain, he was arrested on a Spanish warrant involving a variety of charges of human rights abuse.
On a subsequent trip he ended up translating for Che Guevara (he had picked up the language in Spain in the 1950s).
(On a subsequent trip, Batali and Pasternack and Simon Dean, who became a manager of and partner in Esca, spent a week in Amalfi, Sorrento, and Naples).
On a subsequent trip to Puerto Rico, he made a few philosophical comments about the nature of policymaking that indicated to reporters that he might be wavering.
Our subsequent trip to a highly esteemed Harley Street psychologist was disastrous.
On top of that, medium-pacer Georgia Elwiss has been ruled out of the remainder of the series and the subsequent trip to Sri Lanka with a stress fracture of the back.
Buying the listed items earns the shopper "Web bucks" that may be redeemed for cash savings on a subsequent shopping trip.
Shortly afterward it was discovered that a design flaw in the principal mirror greatly reduced the image quality, but this was fixed by compensating optical devices inserted on a subsequent service trip by astronauts to the telescope.
The author's account of the 29 days he spent in a psychiatric hospital in Queens as a young man unhinged by substance abuse and dread of sexual violation is interwoven with passages about a subsequent road trip to Maine, his ancestral home, in search of clues to his family's murky history.
