Dang, i guess the payload is still just a little too much. Maybe my math is wrong.
∆v = 9.8*Isp*ln(m1/m0)
= 9.81*320*ln((mb + mp)/(0.11*(mb - (1.5*(mb + mp)/24.5)) + (1.5*(mb + mp)/24.5) + mp)
= 3140*ln((mb + mp)/(0.11*(mb - 0.061*mb - 0.061*mp) + 0.061*mb + 0.061*mp + mp)
= 3140*ln((mb + mp)/(0.164*mb + 1.01*mp))
The final-mass coefficient of \(m_p\) is greater than 1, the expression could produce an impossible mass ratio or negative delta‑v, depending on what \(m_p\) represents.
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