布里渊球下引力势球谐展开的不收敛性：连续情形
Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere; the continuous case
摘要：
对于一个单行星$P$与引力势$V$，我们表明，对于每个$\varepsilon > 0$存在一个行星$P'$与引力势$V'$，与$(P',V')$“$\varepsilon$ -接近”$(P,V)$（在适当的$C^0$ -意义），其中$V'$的球谐展开不超过$\varepsilon$以下的布里渊球$P'$的距离。
英文摘要：
For a singleton planet $P$ with gravitational potential $V$, we show that for each $\varepsilon > 0$ there exists a planet $P'$ with gravitational potential $V'$, with $(P',V')$ "$\varepsilon$-close" to $(P,V)$ (in an appropriate $C^0$-sense) for which the spherical harmonic expansion of $V'$ does not extend more than a distance $\varepsilon$ below the Brillouin sphere of $P'$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
