Dudley Observatory, American Astronomical Society, American Institute of Physics · New York [etc.] American Institute of Physics [etc.] · leaf 190
oordinates of ./ relative to // are: X1 = x cos a + y sin a = r cos a — r' cos (X + a), The disturbing function reduces to y' = — x sin a -f- y cos a = —r sin a + r' sin (X + a). '"' 1 (4) /i With tie a' Z) ' '\2 d = vV2 + y's = x' | l + |7 and it is I) that we must expand. We shall expand in… … §3. The Order of T. X' = 1 - - + e 2C + e' | (C2 - S>) + Since V i- small, p. X may he expanded to Let f/i of §1 he chosen so that, for all T, p and X are (5) p = p„ + p'T + • • • , x = X0 + XT + • • • , of order <•' at least. Then, as 7',, is in the region, P where, from (1), 2), and A defined by…
Astronomy
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