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A230242
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Decimal expansion of (25+3*sqrt(69))/2.
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0
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2, 4, 9, 5, 9, 9, 3, 5, 7, 9, 4, 3, 7, 7, 1, 1, 2, 2, 7, 8, 8, 7, 6, 3, 9, 4, 1, 1, 7, 3, 6, 1, 2, 3, 8, 0, 1, 5, 3, 4, 8, 3, 2, 1, 3, 7, 3, 4, 3, 3, 4, 8, 3, 6, 6, 9, 1, 4, 8, 2, 8, 2, 5, 5, 3, 5, 5, 6, 3, 7, 7, 5, 5, 0, 1, 3, 4, 7, 2, 7, 3, 6, 0, 8, 0, 1
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OFFSET
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2,1
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COMMENTS
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Minimum mass ratio required for stable L4 and L5 Lagrange points. Because the mass of the sun is about 333060 times the mass of the earth which is greater than 24.95993..., the sun-earth Lagrange points L4 and L5 are stable. Similarly, since the earth is about 81.3 times more massive than the moon, the earth-moon L4 and L5 points are stable.
Note that the L1, L2, and L3 Lagrangian points are unstable regardless of mass ratio. - Charles R Greathouse IV, Mar 25 2018
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LINKS
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EXAMPLE
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24.959935794377112278876394117361238015348321373433483669148282553556...
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MATHEMATICA
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First[RealDigits[(25 + 3*Sqrt[69])/2, 10, 100]] (* Paolo Xausa, Jun 18 2024 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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