中心力场的恒速斜坡
Constant-speed ramps for a central force field
摘要：
我们调查的问题，确定的平面曲线，描述斜坡的质量$m$的粒子移动时，是受摩擦力的作用，其大小$F(r)$只取决于距离$r$从原点。在本文中，我们描述了$F(r)=-m/r$情况下的所有恒速斜坡。我们的圆圈和对数螺线起着重要的作用。不仅它们是解，而且每一个其他解都接近于圆或对数螺旋线。
英文摘要：
We investigate the problem of determining the planar curves that describe ramps where a particle of mass $m$ moves with constant-speed when is subject to the action of the friction force and a force whose magnitude $F(r)$ depends only on the distance $r$ from the origin. In this paper we describe all the constant-speed ramps for the case $F(r)=-m/r$. We show the circles and the logarithmic spirals play an important role. No only they are solutions but every other solution approaches either a circle or a logarithmic spiral.
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。
