Five parts of the earth, where the object can achieve complete immobility in a rotating coordinate system

We are looking for parking at other planet

You may have heard about Lagrange points - a five gravitationally stable points around the planet by the forces of the Earth and the Moon, acting on each other. This is the ideal place for satellites. Thanks to this incredible model, you can know exactly where they are and why.

Lagrange point is not only that of the Earth. Science fiction writers often use them in their works where starship pilots need a good, stable place to hang close to a planet or moon. Lagrange point - it is probably the nearest place in space, where you can drop anchor.



Brian Weinstein, a graduate student of applied mathematics leading terrific blog «Fouriest Series» on Tumbler, brought together an impressive illustration of the Lagrange points around the Earth. Here is his explanation of what you see:

"Lagrangian points - the five places in the orbital system, where the combination of the gravitational forces of the two large masses is exactly compensated by increasing the centrifugal force of the rotating coordinate system. In these five points net force on the third body (low weight) forces is zero, allowing the third body to be completely stationary with respect to the two masses. That's why if you put a third body in one of these points, it will remain completely motionless in the rotating frame.



Image shows a zone associated with the first mass, a second mass and a rotating coordinate system. If you put them together, these zones form the acting field. The five Lagrangian points are indicated by gray areas.

The first three Lagrange point (denoted as L1, L2 and L3) are arranged in one line with two large bodies and are in a metastable state. L4 and L5 are arranged at an angle of 60 ° in front and rear of the second body on its orbit and is in a stable state ».

via factroom.ru