Yes, if we had the technology to put a human in orbit around Jupiter, mission control would need to account for the significant effects of time dilation caused by the intense gravitational field of Jupiter.
According to General Relativity, time dilation occurs in the presence of gravitational fields. The closer an object is to a massive body, the stronger the gravitational field, and the more pronounced the time dilation effects become.
Jupiter is a gas giant with a mass approximately 318 times that of Earth. Its strong gravitational field would cause a significant time dilation compared to what we experience on Earth. Therefore, if a human were in orbit around Jupiter, they would experience time passing more slowly relative to observers on Earth.
To compensate for this time dilation effect, mission control would need to take it into account when planning and executing the mission. They would need to adjust the timing of communications, calculations, and mission operations accordingly. Any time-sensitive processes, such as rendezvous maneuvers, data analysis, or critical mission events, would need to consider the time dilation experienced by the astronaut in Jupiter's gravitational field.
Accounting for time dilation is crucial for ensuring accurate synchronization and coordination between mission control and the astronaut in orbit around Jupiter. Failure to compensate for time dilation effects could result in errors in mission planning, communication delays, and potential inaccuracies in navigation and timing-sensitive operations.