本文關(guān)鍵詞：后牛頓近似計(jì)算雷達(dá)回波延遲的高階修正　出處：《華中科技大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 后牛頓 二階近似 光線傳播

【摘要】：愛因斯坦提出廣義相對(duì)論100年來,人們已經(jīng)做了大量的實(shí)驗(yàn)驗(yàn)證了經(jīng)典廣義相對(duì)論理論的各種預(yù)言。但是由于愛因斯坦引力理論目前還無法進(jìn)行量子化,我們還無法把引力理論與其它三種基本相互作用統(tǒng)一起來,因此有必要繼續(xù)對(duì)愛因斯坦引力理論進(jìn)行更精確的檢驗(yàn)。太陽系中有很多可以檢驗(yàn)廣義相對(duì)論的實(shí)驗(yàn),包括在太陽系中傳播的光線。由于太陽引力的作用會(huì)使得通過太陽附近的光線發(fā)生偏折,因此從A點(diǎn)傳播到B點(diǎn)的光線所經(jīng)歷的時(shí)間由于引力效應(yīng)會(huì)發(fā)生延遲。這個(gè)延遲效應(yīng)原則上是可以計(jì)算出來的,但是通常卻無法得到一個(gè)能直接運(yùn)用的解析表達(dá)式,所以我們需要采取一些近似方法。本文主要利用后牛頓近似方法計(jì)算雷達(dá)回波延遲近似到二階。這樣我們便可以利用理論計(jì)算結(jié)果和更精確的實(shí)驗(yàn)結(jié)果進(jìn)行比較,從而甄別不同的引力理論。本文首先簡(jiǎn)單介紹了后牛頓近似方法及后牛頓參數(shù),然后介紹了如何利用光程函數(shù)計(jì)算出光在引力場(chǎng)中的傳播時(shí)間,以及world函數(shù)與光的傳播時(shí)間的關(guān)系。接下來本文推導(dǎo)出了史瓦西度規(guī)標(biāo)準(zhǔn)形式與各向同性度規(guī)之間的坐標(biāo)變換關(guān)系。進(jìn)一步,本文利用用后牛頓近似方法,由測(cè)地線方程推導(dǎo)出來了廣義運(yùn)動(dòng)方程,并在標(biāo)準(zhǔn)形式下計(jì)算了雷達(dá)信號(hào)(光信號(hào))從一點(diǎn)傳播到另一點(diǎn)所需的時(shí)間,這個(gè)計(jì)算結(jié)果精確到了星體引力半徑的二階(Gm/c~2)~2,即計(jì)算精度達(dá)到了(Gm/Rc~2)~2階。通過坐標(biāo)變換關(guān)系,我們可以比較不同坐標(biāo)系下得到的結(jié)果的一致性。
[Abstract]:Einstein's general theory of relativity in 100 years, people have done a lot of experimental verification of the classical general relativity theory. But because the predictions of Einstein's theory of gravity is not quantized, we are unable to put the theory of gravitation and the other three fundamental interactions of unity, it is necessary to test more accurate on Einstein's theory of gravity. In the solar system have a lot of experimental test of general relativity, including the spread of light in the solar system. Due to the influence of the sun's gravity will make the line near the sun through the light deflection occurs, so the experience from point A to point B light propagation time delays will occur due to gravitational effect this delayed effect principle can be calculated, but often cannot get a direct use of the analytical expressions, so we need to take a Some approximate methods. This paper mainly uses the Newton approximation method to calculate radar echo delay approximate to two order. So we can compare the calculation results with theoretical and experimental results more accurate, so as to identify different theory of gravitation. This paper introduces the Newton approximate Newton method and parameters, and then introduces how to use the the optical path function to calculate the propagation time of light in gravitational field, and the relationship between the propagation time of world function and light. Then the paper deduced coordinate between the Schwarzschild metric standard form and isotropic metric transformation. Further, by using the approximate method used by Newton, by the geodesic equation derived from the generalized the motion equation, and calculate the radar signal in the standard form (optical signal) from one point to another point spread the time required for the calculation results to the leading stars The two order (Gm/c~2) ~2 of the radius of force is, that is, the computation accuracy is up to (Gm/Rc~2) ~2 order. Through the coordinate transformation relation, we can compare the consistency of the results obtained in different coordinate systems.

【學(xué)位授予單位】：華中科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：P131

【相似文獻(xiàn)】

相關(guān)期刊論文 前5條

1 蔣德瀚;;后牛頓近似下的Christoffel符號(hào)[J];甘肅高師學(xué)報(bào);2008年05期

2 宮衍香;;荷電天體引力場(chǎng)中試驗(yàn)粒子進(jìn)動(dòng)的后牛頓解法[J];大學(xué)物理;2009年05期

3 鐘鳴乾;重力加速度的后牛頓效應(yīng)[J];科學(xué)通報(bào);1991年11期

4 鐘雙英;伍歆;;半隱Euler法和隱中點(diǎn)法嵌入混合辛積分器的比較[J];物理學(xué)報(bào);2011年09期

5 ;[J];;年期

相關(guān)會(huì)議論文 前1條

1 ;太陽、行星分會(huì)場(chǎng)報(bào)告摘要[A];中國(guó)天文學(xué)會(huì)2009年學(xué)術(shù)年會(huì)論文集[C];2009年

相關(guān)碩士學(xué)位論文 前2條

1 陳榮超;后牛頓拉格朗日與哈密頓系統(tǒng)的等價(jià)性研究[D];南昌大學(xué);2016年

2 趙宓;后牛頓近似計(jì)算雷達(dá)回波延遲的高階修正[D];華中科技大學(xué);2015年

，

本文編號(hào)：1373877