これの和訳を教えてください。

質問

The evaluated values of C_K are shown in Fig. 11 and listed in Table I for the cases ei~=0 and 4, respectively. As is seen from Fig.11, C_K is approximately proportional to R~-1/2 and v_K also has the same dependence on R. Therefore, Λ_K is almost independent of R.
On the other hand, the collisional rate for a free space, Λ_f is given by

Λ_f=n_s2R_p(1+2θ)^(1/2)v(ei~), (4・7)

where v(ei~) is the mean random velocity of an ensemble of particles with an eccentricity, ei~, and is given by √(5/8)ei~hv_K and θ is the Safronov number, which is defined as GM/v^2(ei~)R_p. For the cases ei~≦4, θ is much larger than unity, and then Eq.(4・7) is approximately rewritten as

　　　　　　　　　　　　Λ_f=(8GMR_p)^(1/2)n_s. (4・8)

回答No.1

pank09 · ベストアンサー

英文：
The evaluated values of C_K are shown in Fig. 11 and listed in Table I for the cases ei~=0 and 4, respectively. As is seen from Fig.11, C_K is approximately proportional to R~-1/2 and v_K also has the same dependence on R. Therefore, Λ_K is almost independent of R.
訳：
C_K の評価値をFig. 11に示し、ei~=0 と 4のそれぞれの場合Table I に載せている。Fig.11からわかるように、C_KはほぼR~-1/2 に比例し、またv_Kも同様にRに依存している。それゆえ、Λ_K はほとんどRに依存しない。

英文：
On the other hand, the collisional rate for a free space, Λ_f is given by
Λ_f=n_s2R_p(1+2θ)^(1/2)v(ei~), (4・7)
where v(ei~) is the mean random velocity of an ensemble of particles with an eccentricity, ei~, and is given by √(5/8)ei~hv_K and θ is the Safronov number, which is defined as GM/v^2(ei~)R_p. For the cases ei~≦4, θ is much larger than unity, and then Eq.(4・7) is approximately rewritten as

　　　　　　　　　　　　Λ_f=(8GMR_p)^(1/2)n_s. (4・8)

訳：
他方、自由空間での衝突確率Λ_f は、Λ_f=n_s2R_p(1+2θ)^(1/2)v(ei~), (4・7)により与えられる。
ここで、v(ei~) は、離心率 ei~の粒子群の平均自由速度であり、且つ√(5/8)ei~hv_K が与えられ、θはGM/v^2(ei~)R_pとして定義されるafronov数である。
ei~≦4の場合に対しては、θは１より大きく、それからEq.(4・7)は、ほぼΛ_f=(8GMR_p)^(1/2)n_s. (4・8)　として書き換えられる。

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