The European Space Agency (ESA) is Europe’s gateway to space. Its mission is to shape the development of Europe’s space capability and ensure that investment in space continues to deliver benefits to the citizens of Europe and the world.
Find out more about space activities in our 23 Member States, and understand how ESA works together with their national agencies, institutions and organisations.
Exploring our Solar System and unlocking the secrets of the Universe
Go to topicProtecting life and infrastructure on Earth and in orbit
Go to topicUsing space to benefit citizens and meet future challenges on Earth
Go to topicMaking space accessible and developing the technologies for the future
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Optimality principles determine the decision-making during different phases of exploration missions. (A) During an interplanetary phase, the spacecraft dynamics are well identified. Uncertainties are limited and the departure from a theoretical mass optimal guidance is of less importance due to the relatively slow dynamics involved. Please note the time scale of the x-axis in years, and the bang-bang profile of the thrust (solid line). The Venus Express spacecraft is here used for visualization purposes [credit: ESA].(B) During a landing phase (here visualized using Apollo’s Eagle module), according to the specific mission profile, the adaptiveness and robustness of the planned actions have a larger effect on the mission success, also considering that human operators are typically too far away to allow re-planning within an acceptable timeframe. Please note the time scale of the x-axis in minutes and the discontinuous actions. C) During a planetary exploration phase (for instance rovers or flying drones) uncertainties are larger and optimality principles such as careful use of available onboard energy need to be embedded into highly disturbed and fast dynamics (time scale in seconds). Depending on the phase of the missions, control systems may have a lot or very little time to recover from errors and cope with noise. The Ingenuity Mars helicopter [credit: NASA/JPL-Caltech] is used for illustration.