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The collected mathematical works of George William Hill (1905)

Hill, George William, 1838-1914 · Washington : Carnegie Institution of Washington · leaf 42

An illustration from The collected mathematical works of George William Hill, 1905, leaf 42
ON INTERMEDIATE ORBITS Pushing the approximation to terms of the third order, z* is found to contain the following terras of this order: '-l oos 3, The similar terms of z* are obtained from those of z* by interchanging the accents. The terms of the third order of xjc' are … The coeflBcienta n* — a* and n" — a* are of the second order, heuce limiting ourselves to terms of the third order (»• — of) * = (»' — if) t OM f, («" The constants e and e' being arbitrary, the coefficients of cos <j> in z and of COB ^ in x7 need receive no corrections in the following…

Astronomy · Celestial mechanics · Mathematics

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