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In Sun-Earth system, the Sun, the Earth and the Lagrange point L4 form:
Question

In Sun-Earth system, the Sun, the Earth and the Lagrange point L4 form:

A.

an isosceles triangle

B.

an equilateral triangle

C.

a straight line

D.

a scalene triangle

Correct option is B

The correct answer is (b) an equilateral triangle. In the Sun-Earth system, the Lagrange points are specific locations where the gravitational forces of the Sun and Earth, along with the centrifugal force of the orbiting object, balance each other. The L4 and L5 points are particularly interesting because they form an equilateral triangle with the Sun and the Earth. This configuration allows objects located at L4 and L5 to remain stable relative to the Earth and Sun as they orbit. These points are 60 degrees ahead (L4) and 60 degrees behind (L5) the Earth in its orbit around the Sun.
Information Booster:

● Lagrange points are five specific points in a two-body system like Sun-Earth where the gravitational forces and the orbital motion of an object balance, allowing it to remain in a fixed position relative to the two bodies.

● The L4 and L5 points are the most stable of the Lagrange points and are sometimes referred to as Trojan points because objects can stay there for long periods without drifting away.

● The configuration of L4, the Earth, and the Sun forms an equilateral triangle, meaning all three sides and angles are equal (60 degrees each).

● Objects positioned at L4 or L5 maintain a stable configuration due to the gravitational equilibrium between the Sun and Earth.

● Other Lagrange points, such as L1, L2, and L3, form a straight line with the Sun and Earth but are less stable.

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