论文标题
踏板坐标，太阳帆轨道，偶极驱动和其他力问题
Pedal coordinates, solar sail orbits, Dipole drive and other force problems
论文作者
论文摘要
结果表明，踏板坐标提供了自然框架，在该框架中研究了平面中经典力学的力问题。在中央和洛伦兹的力的影响下，测试粒子的轨迹可以立即转化为踏板坐标，而无需求解任何微分方程。我们将概括该结果以涵盖更一般的力量定律，并在某些变化问题中显示踏板坐标的优势。这些将使我们能够将许多动态系统以及变化的计算问题联系在一起。最后 - 作为一个说明性的例子 - 我们将应用获得的结果来计算太阳帆和偶极驱动器的轨道。
It was shown that pedal coordinates provides natural framework in which to study force problems of classical mechanics in the plane. A trajectory of a test particle under the influence of central and Lorentz-like forces can be translated into pedal coordinates at once without the need of solving any differential equation. We will generalize this result to cover more general force laws and also show an advantage of pedal coordinates in certain variational problems. These will enable us to link together many dynamical systems as well as problems of calculus of variation. Finally -- as an illustrative example -- we will apply obtained results to compute orbits of Solar sail and Dipole drive.
