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1. How many Lagrangian points are there in space & at which point
ISRO's Aaditya spacecraft shall be kept?
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Lagrangian point
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"Lagrange Point" redirects here. For the video game, see Lagrange Point (video game).

Smaller objects (green) at the Lagrange points each remain in the same relative position. At any other point, gravitational forces would pull a small object into an orbit around either one of the two bodies, in a non-stable position relative to the other body.

Lagrange points in the Sun–Earth system (not to scale) – a small object at any one of the five points will hold its relative position.

An example of a spacecraft at Sun–Earth L2
WMAP · Earth
In celestial mechanics, the Lagrangian points (/ləˈɡrɑːndʒiən/ also Lagrange points,[1] L-points, or libration points) are the points near two large bodies in orbit where a smaller object will maintain its position relative to the large orbiting bodies. At other locations, a small object would go into its own orbit around one of the large bodies, but at the Lagrangian points the gravitational forces of the two large bodies, the centripetal force of orbital motion, and (for certain points) the Coriolis acceleration all match up in a way that cause the small object to maintain a stable or nearly stable position relative to the large bodies.
There are five such points, labeled L1 to L5, all in the orbital plane of the two large bodies, for each given combination of two orbital bodies. For instance, there are five Lagrangian points L1 to L5 for the Sun–Earth system, and in a similar way there are five different Lagrangian points for the Earth–Moon system. L1, L2, and L3 are on the line through the centers of the two large bodies, while L4 and L5 each act as the third vertex of an equilateral triangle formed with the centers of the two large bodies. L4 and L5 are stable, which implies that objects can orbit around them in a rotating coordinate system tied to the two large bodies.