SOHO (Solar and Heliospheric Observatory) was launched into the Earth/Sun L1 Lagrangian point in 1995. This point balances the gravity from the Sun and Earth and allows for very little energy to remain in a stable orbit. There are 5 Lagrangian points for SOHO but L1 is the best positioned for Earth communications.

In lagrangian we use scalar quantity which is much easier to solve then vector quantites used in newtonian.also lagrangian is invariant under gauge transformation and the same not hold good for newtonian.

The next generation telescope will have the two or twin telescopes. One will have to be stationed at the Lagrangian point 4 and the other at the Lagrangian point 5. So together they will act like the pair of your eyes. So you can penetrate in the space out of your universe also. Then you can locate the source of cosmic microwave back ground also, most probably. The cosmic dust coming in the way of one telescope and not in the way of other can be easily deleted by simple computer. By this mechanism you can increase the size of the lens of the telescope to hundreds of thousands of kilo meters. The processing unit can be kept at Lagrangian point one. This telescope should cost less than or about the same as the James Web telescope.

A function constructed in solving economic models that include maximization of a function (the "objective function") subject to constraints. It equals the objective function minus, for each constraint, a variable "Lagrange multiplier" times the amount by which the constraint is violated. In physical terms, a Lagrangian is a function designed to sum up a whole system; the appropriate domain of the Lagrangian is a phase space, and it should obey the so-called Euler-Lagrange equations. The concept was originally used in a reformulation of classical mechanics known as Lagrangian mechanics. In this context, the Lagrangian is commonly taken to be the kinetic energy of a mechanical system minus its potential energy. The concept has also proven useful as extended to quantum mechanics.