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Lagrange point
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== Solar System values == [[File:Lagrange points of planets relative to sun.svg|thumb|upright|link={{filepath:Lagrange_points_of_planets_relative_to_sun.svg}}|Sun–planet Lagrange points to scale (Click for clearer points.)]] This table lists sample values of L<sub>1</sub>, L<sub>2</sub>, and L<sub>3</sub> within the Solar System. Calculations assume the two bodies orbit in a perfect circle with separation equal to the semimajor axis and no other bodies are nearby. Distances are measured from the larger body's center of mass (but see [[barycenter]] especially in the case of Earth-Moon and Sun-Jupiter) with L<sub>3</sub> showing a negative direction. The percentage columns show the distance from the orbit compared to the semimajor axis. E.g. for the Moon, L<sub>1</sub> is {{val|326400|u=km}} from Earth's center, which is 84.9% of the Earth–Moon distance or 15.1% "in front of" (Earthwards from) the Moon; L<sub>2</sub> is located {{val|448900|u=km}} from Earth's center, which is 116.8% of the Earth–Moon distance or 16.8% beyond the Moon; and L<sub>3</sub> is located {{val|-381700|u=km}} from Earth's center, which is 99.3% of the Earth–Moon distance or 0.7084% inside (Earthward) of the Moon's 'negative' position. {| class="wikitable" |+Lagrangian points in Solar System |- !scope=col| Body pair !scope=col| Semimajor axis, SMA (×10<sup>9</sup> m) !scope=col| L<sub>1</sub> (×10<sup>9</sup> m) !scope=col| 1 − L<sub>1</sub>/SMA (%) !scope=col| L<sub>2</sub> (×10<sup>9</sup> m) !scope=col| L<sub>2</sub>/SMA − 1 (%) !scope=col| L<sub>3</sub> (×10<sup>9</sup> m) !scope=col| 1 + L<sub>3</sub>/SMA (%) |- !scope=row | Earth–Moon | {{val|0.3844}} | {{val|0.32639}} | {{val|15.09}} | {{val|0.4489}} | {{val|16.78}} | {{val|-0.38168}} | {{val|0.7084}} |- !scope=row style="text-align:left;"| Sun–Mercury | {{val|57.909}} | {{val|57.689}} | {{val|0.3806}} | {{val|58.13}} | {{val|0.3815}} | {{val|-57.909}} | {{val|0.000009683}} |- !scope=row style="text-align:left;"| Sun–Venus | {{val|108.21}} | {{val|107.2}} | {{val|0.9315}} | {{val|109.22}} | {{val|0.9373}} | {{val|-108.21}} | {{val|0.0001428}} |- !scope=row style="text-align:left;"| Sun–Earth | {{val|149.598}} | {{val|148.11}} | {{val|0.997}} | {{val|151.1}} | {{val|1.004}} | {{val|-149.6}} | {{val|0.0001752}} |- !scope=row style="text-align:left;"| Sun–Mars | {{val|227.94}} | {{val|226.86}} | {{val|0.4748}} | {{val|229.03}} | {{val|0.4763}} | {{val|-227.94}} | {{val|0.00001882}} |- !scope=row style="text-align:left;"| Sun–Jupiter | {{val|778.34}} | {{val|726.45}} | {{val|6.667}} | {{val|832.65}} | {{val|6.978}} | {{val|-777.91}} | {{val|0.05563}} |- !scope=row style="text-align:left;"| Sun–Saturn | {{val|1426.7}} | {{val|1362.5}} | {{val|4.496}} | {{val|1492.8}} | {{val|4.635}} | {{val|-1426.4}} | {{val|0.01667}} |- !scope=row style="text-align:left;"| Sun–Uranus | {{val|2870.7}} | {{val|2801.1}} | {{val|2.421}} | {{val|2941.3}} | {{val|2.461}} | {{val|-2870.6}} | {{val|0.002546}} |- !scope=row style="white-space:nowrap"| Sun–Neptune | {{val|4498.4}} | {{val|4383.4}} | {{val|2.557}} | {{val|4615.4}} | {{val|2.602}} | {{val|-4498.3}} | {{val|0.003004}} |}
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