By Frank K. Edmondson (auth.), S. Flügge (eds.)
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Extra info for Astrophysik IV: Sternsysteme / Astrophysics IV: Stellar Systems
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Wilson Contr. No. 163 = Astrophys. Journ. 49, 179 (1919). 3 G. STROMBERG: Mt. 'Wilson Contr. ::S-o. 275 and No. 292 = Astrophys. Journ. 59, 228 (1924); 61, 363 (1925). 4 J. H. OORT: Pub!. Astronom. Lab. Groningen 1926, No. 40. 5 K. LUNDMARK: K. Svenska Yetenskaps. Hand!. 8 (1920). Pub!. Astronom. Soc. Pacific 35, 318 (1923). - Monthly Notices Roy. Astronom. Soc. London 84, 747 (1924). 6 B. LINDBLAD: Ark. , Astronom. , Ser. 3 (1925); A 19, No. 27 (1926); A 19, No. 7 (1926). = Upsala Medd. 3, 4, 6,13.
Except in special cases, and in limited regions of the system, we cannot expect other integrals which can be written down explicitly in analytical form. 1) may be written o II- 0 - 1 at (e )+ oR (e II2 )+ R 0 of) - 0 - 1 - ZI (e IIe )+8z (e IIZ )+ R e(II2-{'72)=e o - 0 - 1 o - 0 - 1 oe 0 at (e e) + 8if (e e II) + R iit(e Z ) +8if (e ZII ) + R - of{! oR' 0 (e ( 2) + az. (e e Z) 0 (e ze )+8z(e Z2 ) + R eZII=e az ' 0# of) - 0 - 0 - 0 - - 0 2 - 1 - + Ii e e II = - e of{! 7E 80: ' of{! 1) Tt+8if (e II ) + R 8o:(ee)+8z(e Z )+ R eII=O.
Tartu Obs. 5 (1953). Publ. Acad. Sci. Est. SSR. 3 (1953). 2 O. HECKMANN and H. STRASSL: Veroff. -Sternw. GCittingen 3, Nr. 41, 43 (1934). 38 BERTIL LINDBLAD: Galactic Dynamics. Sect. 11. 'YJ, Cremain small as long as t is small. 5) where E, E" Gik , hi are arbitrary constants, and 2rx = p~ + P~ + 2Al~ + A2~2 + B2'YJ 2, 2rx, = P~ + 2C1 C + C2C2, 'Yo = P~'YJ - Pfj(Xo +~), 1'1 = (AI + A2~) cos VA;;t - VA 2· PE sin VA;;. t = ao+ ~~ - a2 p~, 1'2 = B 2'YJ cos VB2 . t - VB2 . Pfj sin VB2 . t = bo + b1 'YJ - b2P'J' Ys = (CI + C2'YJ) cos VC 2 · t - tC 2 • Pc sin VC;.