均匀加速参考系下的雷达方法

V. Voytik
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引用次数: 0

摘要

本工作的目的是将已知的惯性参照系雷达方法推广到匀加速参照系的情况。相应公式的推导基于均匀加速参考系Möller的相对论度规标准,而无需在辅助惯性系与加速系之间进行任何时空变换。为了解决根据光束的初始传播方向确定光束轨迹的问题,采用了费马原理。为了在已知物体坐标的情况下计算光子到物体的飞行时间,还引入了光传播间隔的光相似条件。由此产生的光粒子的轨迹是一个圆弧。在光源附近的一个小区域内,光子轨迹与经典粒子的抛物轨迹一致。已经导出了无线电信号发送方向的方程。物体的实际位置不是在光子的初始运动方向上,而是稍微低一些。计算了距离较近的静止物体的重力折射角值。物体在“水平”方向上越远,折射角度越大。得到了光信号到目标的飞行时间。在与加速度方向成锐角方向发射的信号将无线电信号引到惯性参照系中。因此,对于位于辐射源上方的近距离物体,计算出的夏皮罗延迟时间为负。同时计算远程目标的坐标。所得等式的总和完全决定了雷达方法。由此得出的等式或许可以通过实验验证。
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Radar Method in a Uniformly Accelerated Reference Frame
The purpose of this work is to generalize the radar method known for the inertial frame of reference to the case of a uniformly accelerated frame of reference.The derivation of the corresponding formulas is based on the standard for the theory of relativity metric of a uniformly accelerated Möller frame of reference without applying any space-time transformation between some auxiliary inertial frame and the accelerated frame. To solve the problem of determining the trajectory of a light beam, depending on the initial direction of propagation, Fermat’s principle is used. To calculate the flight time of a photon to an object, knowing its coordinates, the condition of the light-likeness of the interval for the propagation of light is additionally introduced.The resulting trajectory of the light particle is an arc of a circle. For a small area near the source, the photon trajectory coincides with the parabolic trajectory of a classical corpuscle. An equation has been derived for the direction in which the radio signal is sent. The actual location of the object is not in the direction of the initial motion of the photon, but somewhat lower. The value of the angle of gravitational refraction for a closely spaced resting object is calculated. The further the object is in the “horizontal” direction, the greater the angle of refraction. The flight time of the light signal to the object is found. The signal emitted in the direction that forms an acute angle with the direction of acceleration leads the radio signal in the inertial frame of reference. Therefore, for a close object located above the radiation source, the calculated Shapiro delay time is negative. The coordinates of the remote object are also calculated.The totality of the obtained equalities completely determines the radar method. The resulting equalities, perhaps, allow for experimental verification.
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26
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