In Sun-Earth system, the distance between Lagrange points L2 and L3 is

In Sun-Earth system, the distance between Lagrange points L2 and L3 is about

15 lakh kilometre
30 lakh kilometre
16 crore kilometre
32 crore kilometre
This question was previously asked in
UPSC CAPF – 2024
Lagrange points L1, L2, and L3 for the Sun-Earth system lie on the line connecting the Sun and the Earth. L1 and L2 are located approximately 1.5 million kilometers (or 0.01 AU) from Earth. L1 is between the Sun and Earth, and L2 is beyond Earth away from the Sun. L3 is on the opposite side of the Sun from Earth, roughly at the same distance from the Sun as Earth (approx 1 AU). The distance between L2 and L3 is approximately the distance from L2 to Earth (~1.5M km) + the distance from Earth to the Sun (~150M km) + the distance from the Sun to L3 (~150M km). This sum is approximately 1.5M km + 150M km + 150M km = 301.5M km. This is equivalent to 30.15 crore kilometers. Option D, 32 crore kilometre, is the closest value among the choices.
– L1, L2, and L3 are collinear Lagrange points in a two-body system.
– For the Sun-Earth system, L1 and L2 are about 1.5 million km from Earth.
– L3 is roughly 1 AU (approx 150 million km) from the Sun, on the opposite side of Earth.
– The distance between L2 and L3 is approximately L2-Earth distance + Earth-Sun distance + Sun-L3 distance.
While L3 is roughly 1 AU from the Sun, its exact location is slightly closer or farther depending on the mass distribution and other orbital parameters, but approximately 1 AU. The total distance L2 to L3 is therefore approximately 0.01 AU + 1 AU + 1 AU = 2.01 AU. Since 1 AU is about 150 million km, 2.01 AU is about 301.5 million km (30.15 crore km). Option D (32 crore km) is the best fit among the given choices.
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