In the context of astronomy consider the following statements regarding Lagrange Points 1 Lagrange p...........

Everyday Science(MPPCS) Science & Technology

In the context of astronomy, consider the following statements regarding Lagrange Points:

1. Lagrange points are positions in the universe where no celestial body can exert gravitational force.

2. These points can be used by spacecraft to reduce fuel consumption.

Which of the statements given above is/are correct?

1 only

2 only

Both 1 and 2

Neither 1 nor 2

Recent context: European Space Agency has recently launched the Euclid mission.
it is set to make its way to its destination at the L2 Lagrange point — the same location shared by several other spacecraft including the James Webb Space Telescope.
Lagrange Points are positions in space where the gravitational forces of a two body system like the Sun and the Earth produce enhanced regions of attraction and repulsion.
These can be used by spacecraft to reduce fuel consumption needed to remain in position.
Hence statement 1 is not correct and statement 2 is correct.
There are five special points where a small mass can orbit in a constant pattern with two larger masses.
The Lagrange Points are positions where the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them.
This mathematical problem, known as the "General Three-Body Problem.
• Of the five Lagrange points, three are unstable and two are stable.
The unstable Lagrange points - labeled L1, L2 and L3 - lie along the line connecting the two large masses.
The stable Lagrange points - labeled L4 and L5 - form the apex of two equilateral triangles that have the large masses at their vertices.
L4 leads the orbit of earth and L5 follows.