Final answer:
Katherine's final calculations were focused on ensuring the safe return of John Glenn's capsule to Earth, reflecting her critical role in the successful planning of NASA's space missions.
Step-by-step explanation:
Katherine Johnson's pivotal role in NASA's success in spaceflight, particularly in ensuring the safe return of John Glenn's capsule to Earth, underscores her invaluable contributions to the field of orbital mechanics. As a highly skilled mathematician, Johnson played a crucial role in planning and executing various missions. Her expertise extended beyond mere calculations; she became renowned for her ability to determine the precise trajectories required for safe space travel. Johnson's contributions were particularly instrumental in critical phases of missions, such as launches and landings. Notably, her calculations were not limited to John Glenn's mission; she also made significant contributions to planning the first moon landing, showcasing the breadth and depth of her impact on NASA's space exploration achievements. Katherine Johnson's legacy reflects her extraordinary skill and dedication, breaking barriers as an African-American woman in the male-dominated field of space science.