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Depends on the question you're asking. First, do you mean the L4 point for the Earth's orbit around the sun or the moon's orbit around Earth? Second, do you mean the straight line distance or the arc distance along the orbital path?

The L4 point in an orbit is 60 degrees of orbit ahead of the body. (It's third point of an equilateral triangle between the two bodies and a point in orbit ahead of the body, and an equilateral triangle has three 60 degree angles.) One full orbit of a planet is a circle, which is 360 degrees. Thus, the orbital arc distance is approximately 60/360ths, or about one sixth of the circumference of the orbit of the body. In the case of the Earth's Lagrange point relative to the sun, that's one sixth of about 942 million km, or about 157 million kilometers around the orbit.

The straight line distance is much easier. It's an equilateral triangle. Thus, the distance in a straight line from the Earth to the L4 point is the same as the distance from the L4 point to the sun, which in turn is the same as the distance from the Earth to the sun. That's approximately 150 million kilometers, though this is necessarily an approximation due to the elliptical nature of Earth's orbit. (*Oh, good, the numbers are close. That probably means I didn't screw this up too badly.*)

If you're talking about the distance from the Earth to the moon's L4 Lagrange point, that would be the same as the distance from the Earth to the moon, or an average of about 382,500 km.

Hope that helps.

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14y ago
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6mo ago

The distance between Earth and the L4 Lagrange point is approximately 1.5 million kilometers. Lagrange points are positions in space where the gravitational forces of a two-body system like Earth and the Sun produce enhanced regions of attraction and repulsion.

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Q: What is the distance between earth and L4?
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