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To transition from orbiting Earth to orbiting Mars or the Moon, a spacecraft typically follows a series of steps involving orbital maneuvers. Here's a general overview of the process:

  1. Launch and Earth Orbit: The spacecraft is launched into Earth orbit using a rocket. It enters a stable orbit around Earth, usually in low Earth orbit (LEO), such as the altitude of the International Space Station (ISS).

  2. Trans-Lunar Injection (TLI) or Trans-Mars Injection (TMI): To leave Earth's orbit and head towards the Moon or Mars, the spacecraft performs a maneuver known as trans-lunar injection (TLI) for the Moon or trans-Mars injection (TMI) for Mars. During this burn, the spacecraft's engines are fired to increase its velocity and place it on a trajectory that intersects the Moon's or Mars' orbit.

  3. Interplanetary Transfer Trajectory: Once the spacecraft has left Earth's orbit, it follows an interplanetary transfer trajectory to reach its destination. This trajectory is carefully calculated to optimize fuel consumption and travel time. The spacecraft typically follows an elliptical path, known as a Hohmann transfer orbit or a variant, to intersect the orbit of the Moon or Mars.

  4. Mid-Course Corrections: During the interplanetary journey, mid-course corrections may be performed to refine the spacecraft's trajectory. These corrections involve small engine burns to adjust the spacecraft's path and ensure a precise encounter with the destination.

  5. Lunar or Mars Orbit Insertion: As the spacecraft approaches the Moon or Mars, it performs a crucial maneuver to enter orbit around the destination. This involves firing its engines to slow down and be captured by the gravitational pull of the Moon or Mars.

  6. Orbit Operations: Once in orbit around the Moon or Mars, the spacecraft can carry out its mission objectives, such as lunar or Mars surface exploration, scientific observations, or other tasks.

It's important to note that the specifics of the trajectory and maneuvering depend on factors such as launch windows, mission objectives, available propulsion systems, and spacecraft design. Mission planners and engineers carefully calculate and execute these maneuvers to ensure a successful journey from Earth orbit to the Moon or Mars.

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