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墜落天石木蟲 (小有名氣)
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[求助]
用mathematics解方程組
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NSolve[{-d^2 - (4 H \[Pi]^2 Sqrt[36 + R^4/H^2] r0^3)/(d^2 m R^2) + ( 4 H \[Pi]^2 r0^3 Sqrt[R^4/H^2 + 4 r0^2])/( d^2 m R^2) + (-2 R^2 + 4 Sqrt[R^4 + 4 H^2 r0^2])/( 4 H k \[Pi] r0^2 + m Sqrt[R^4 + 4 H^2 r0^2]) + 1/R^2 8 H \[Pi]^2 ((2 Sqrt[2] H k \[Pi] r0^6 (d^2 m R^4 - Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]) ArcTan[( 6 Sqrt[2] d^2 H m)/Sqrt[ d^4 m^2 R^4 - d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]])/(d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6] Sqrt[ d^4 m^2 R^4 - d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]) - (2 Sqrt[2] H k \[Pi] r0^6 (d^2 m R^4 + Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]) ArcTan[( 6 Sqrt[2] d^2 H m)/Sqrt[ d^4 m^2 R^4 + d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]])/(d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6] Sqrt[ d^4 m^2 R^4 + d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]) + (32 Sqrt[2] H^4 k^2 \[Pi]^2 Sqrt[(36 H^2 + R^4)/H^2] r0^9 ArcTanh[(Sqrt[2] d^2 m Sqrt[36 H^2 + R^4])/Sqrt[ d^4 m^2 R^4 - d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]])/(d^2 m Sqrt[ 36 H^2 + R^4] Sqrt[d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6] Sqrt[d^4 m^2 R^4 - d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]) - (32 Sqrt[2] H^4 k^2 \[Pi]^2 Sqrt[(36 H^2 + R^4)/H^2] r0^9 ArcTanh[(Sqrt[2] d^2 m Sqrt[36 H^2 + R^4])/Sqrt[ d^4 m^2 R^4 + d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]])/(d^2 m Sqrt[ 36 H^2 + R^4] Sqrt[d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6] Sqrt[d^4 m^2 R^4 + d^2 m Sqrt[d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]])) - 1/R^2 8 H \[Pi]^2 ((2 Sqrt[2] H k \[Pi] r0^6 (d^2 m R^4 - Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]) ArcTan[( 2 Sqrt[2] d^2 H m r0)/Sqrt[ d^4 m^2 R^4 - d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]])/(d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6] Sqrt[ d^4 m^2 R^4 - d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]) - (2 Sqrt[2] H k \[Pi] r0^6 (d^2 m R^4 + Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]) ArcTan[( 2 Sqrt[2] d^2 H m r0)/Sqrt[ d^4 m^2 R^4 + d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]])/(d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6] Sqrt[ d^4 m^2 R^4 + d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]) + (32 Sqrt[2] H^4 k^2 \[Pi]^2 r0^9 Sqrt[(R^4 + 4 H^2 r0^2)/H^2] ArcTanh[(Sqrt[2] d^2 m Sqrt[R^4 + 4 H^2 r0^2])/Sqrt[ d^4 m^2 R^4 - d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]])/(d^2 m Sqrt[ R^4 + 4 H^2 r0^2] Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6] Sqrt[ d^4 m^2 R^4 - d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]) - (32 Sqrt[2] H^4 k^2 \[Pi]^2 r0^9 Sqrt[(R^4 + 4 H^2 r0^2)/H^2] ArcTanh[(Sqrt[2] d^2 m Sqrt[R^4 + 4 H^2 r0^2])/Sqrt[ d^4 m^2 R^4 + d^2 m Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]]])/(d^2 m Sqrt[ R^4 + 4 H^2 r0^2] Sqrt[ d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6] Sqrt[ d^4 m^2 R^4 + d^2 m Sqrt[d^4 m^2 R^8 + 256 H^4 k^2 \[Pi]^2 r0^6]])) + 1/(d^6 m^3 R^8) 8 H^2 k \[Pi]^2 r0^3 (d^2 m r0 R^2 (d^2 m r0 R^2 + 2 \[Pi] (-4 H k + m R^2) r0^3) + 2 \[Pi]^2 (-4 H k + m R^2)^2 r0^6 Log[ d^2 m r0 R^2 + \[Pi] (4 H k - m R^2) r0^3]) == 0, r0^2 - (144500 R^2)/(240000 a \[Pi] + 5 \[Pi] R^2) == 0}, {a, r0}] 解上面兩個方程組,我想得出a與r0之間的關(guān)系,但是運行不了結(jié)果。我也嘗試求數(shù)值解,但是 x = {1, 2, 3}; z+x==0;Print[z] 結(jié)果不是z={-1,-2,-3}而是 z z z 不知道咋回事,求哪位高手幫幫忙! |
matlab |
木蟲 (小有名氣)
木蟲 (小有名氣)
木蟲 (小有名氣)
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