非均匀加速度框架的变换方程，如简谐运动和旋转运动
Transformation equation for frames undergoing non-uniform acceleration such as SHM and rotational motion
AI总结：
本文推导了适用于非均匀加速度框架的变换方程，包括简谐运动和旋转运动情况，扩展了林德勒方程的应用范围。
摘要：
洛伦兹变换方程为我们提供了两个不同惯性框架中时空坐标之间的关系。当其中一个框架以匀直线加速度运动时，我们有林德勒方程。在本工作中，我们扩展了林德勒方程，以适用于一般非均匀加速度的情况。之后，我们考虑非惯性框架进行简谐运动（SHM）以及作为第二种情况，考虑非惯性框架沿圆周均匀运动。这组变换方程将在物理学的各个分支以及一般天文学中具有应用。
英文摘要：
Lorentz transformation equations provide us a set of relations between the spacetime coordinates as observed from two different inertial frames. In case, one of the frames is moving with a uniform rectilinear acceleration we have Rindler's transformation equations under such a situation. In the present work, we extend the Rindler's equations to a situation where we have in general non-uniform acceleration. After that we consider the non-inertial frame to undergo simple harmonic motion (SHM) and as a second case we consider the non-inertial frame to move uniformly along a circle. This set of transformation equations will have applications in various branches of Physics and in general in Astrophysics.
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。
