She was also one of the fastest ships in the Royal Navy as shown by her attempt to capture the cutter Eclipse under Nathaniel Fanning.

On 28 March 1795, Princess Caroline of Brunswick and James Harris, 1st Earl of Malmesbury left Cuxhaven on the Jupiter en route to London.

On 25 April 1799 Jupiter, Adamant, and Tremendous recaptured Chance as she lay at anchor under the guns of the battery at Connonies-Point, Île de France.

The French frigate Forte had captured Chance, which was carrying a cargo of rice, in Balasore Roads.

[13] On 17 September 1801 Jupiter arrived at Cape Town from Rio de Janeiro, together with Hindostan and Euphrosyne, after a voyage of about a month.

Captain George Losack, of Jupiter, decided to accompany the convoy eastward until they were unlikely to encounter some Spanish and French vessels known to be cruising off Brazil.

[15] On 27 February 1806, an accidental fire broke out aboard Jupiter while she was at Port Royal, Jamaica.

On 18 April 1807 she sailed from Portsmouth as escort to a fleet of East Indiamen bound for India and China, though she would not accompany them all the way.

Attempts to lighten her by throwing shot and stores overboard had no effect, and she was taking on so much water the fear was that if she were heaved off she would sink.