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For regions where |b_i~|≦5.7, we have the same pattern in ⊿b~ and ⊿e~ as those for the case e_i~=0; i.e., they jump discontinuously by a bit change of δ* (see Fig.8). In the same manner as described for e_i~=0 we have tried to decompose up these discontinuous bands. Unfortunately we cannot succeed either in the complete decomposition, because there seems to exist an infinite series of the fine structure. But contributions of the fine structure to the average values, such as <⊿b~> and <⊿e~> are found to be negligible too. In Figs.9 (a) and (b) the average values of <⊿b~> and <⊿e~> are illustrated as a function of b_i~, where <⊿b~> and <⊿e~> are defined as <⊿b~>=(1/2π)∫⊿b~dδ* (3.8) and <⊿e~>=(1/2π)∫⊿e~dδ*, (3.9) respectively. Fig.8. Some discontinuous bands of the change of the impact parameter for continuous variation of δ* with b_i~=3.0 and with e_i~4. Fig.9. (a) The change of the impact parameter, <⊿b~> and (b) the change of the eccentricity, <⊿e~> averaged over the parameter δ* for various values of b_i~ between -10 and 10 with e_i~=4. http://www.fastpic.jp/images.php?file=2049108297.jpg ↑Fig.8. http://www.fastpic.jp/images.php?file=5493230572.jpg7 ↑Fig.9. (a) and (b) 長文ですが、よろしくお願いします。

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b_i~の絶対値が5.7かそれよりも小さい領域においては、 e_i~が0の場合のように、⊿b~ と⊿e~は同じパターンとなる。すなわち、それらはδ*のほんのわずかな変化により不連続的に変化する(※1)(図8を参照のこと)。 e_i~が0の時に示したのと同じ方法で、我々はこうした不連続バンドの分解を試みた。微細構造における無限級数(※2)が存在すると思われるので、残念ながらどちらについても完全な分解はうまくいかない。しかし<⊿b~> と<⊿e~>といった、平均値に対する微細構造の寄与は無視できる程度であることも判明している。 図9において、<⊿b~> と<⊿e~>の平均値 (a) と (b) はb_i~の関数として示されている、ここでは<⊿b~> と<⊿e~>はそれぞれ下記のように定義される。 <⊿b~>=(1/2π)∫⊿b~dδ* (3.8)        と <⊿e~>=(1/2π)∫⊿e~dδ* (3.9)       である。 図8:b_i~が3.0 で e_i~4の δ* の連続変異の為の衝突パラメーターの変化におけるいくつかの不連続バンド 図9:(a)は衝突パラメーター <⊿b~>の変化、(b)は離心率 <⊿e~>の変化、いずれもb_i~が-10から10の間の様々な値で e_i~が4の時のパラメーターδ*における平均値を表す。 http://www.fastpic.jp/images.php?file=2049108297.jpg ↑Fig.8. http://www.fastpic.jp/images.php?file=5493230572.jpg7 ↑Fig.9. (a) and (b) ※1:グラフ上でのjumpとは数値があっちこっちに散らばることですが、ここではそれを「変化」と訳してみました。 ※2:項の数が無限にある級数。下記の説明を参照してください。 http://kotobank.jp/word/%E7%84%A1%E9%99%90%E7%B4%9A%E6%95%B0

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