What is lambert problem?

The Lambert problem is a mathematical problem that involves finding the trajectory of an object traveling between two points in space with known initial and final positions and times. It is also known as the Lambert's problem or Lambert's theorem.

The problem was first introduced by Johann Heinrich Lambert in the 18th century and has since been used extensively in satellite and space mission planning. The Lambert problem is particularly valuable in determining transfer orbits or trajectories, which can be used for space travel and exploration.

The solution to the Lambert problem involves finding the conic section that the object will follow from its initial to final positions. This can be determined using a variety of techniques, including numerical methods and computer simulations.

The Lambert problem is an important tool in space mission planning and has been used in several major missions, including the Apollo missions to the moon and the Cassini-Huygens mission to Saturn.