The Post-Newtonian Approximation for Spinning Particles
碩士 === 淡江大學 === 物理學系 === 86 === First, we introduce the energy-momentum tensor of the spinning particles and use it to derive the Papapetrou's spin equation. In the post-Newtonian approximation method, we expand this ten...
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ndltd-TW-086TKU011980022015-10-13T17:34:45Z http://ndltd.ncl.edu.tw/handle/54425085759778929957 The Post-Newtonian Approximation for Spinning Particles 自旋粒子的後牛頓近似 Hsiao, Yu-Kuo 蕭佑國 碩士 淡江大學 物理學系 86 First, we introduce the energy-momentum tensor of the spinning particles and use it to derive the Papapetrou's spin equation. In the post-Newtonian approximation method, we expand this tensor to the post-Newtonian order and derive corresponding equations of motion. In the chapter 4,the N spinning particle results are reduced to the case of a binary system. To see how the spin effects come in, the equations of motion, the central position,the total energy and the total angular momentum are evaluated including spin effects. Finally, consider a general elliptical orbit, and obtain the velocities, spin vectors,and position in all three directions One find that, in particular, the velocity and the displacement in the z-direction are non- zero. Only in the post-Newtonian or higher orders, the spin effects cause the binary system to leave the plane of the Newtonian orbit. Most stars possess spin. If we want an accurate result, we can not but consider the spin effects. Cho H.T. 曹慶堂 1998 學位論文 ; thesis 46 zh-TW |
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碩士 === 淡江大學 === 物理學系 === 86 === First, we introduce the energy-momentum tensor of the
spinning particles and use it to derive the Papapetrou's spin
equation. In the post-Newtonian approximation method, we
expand this tensor to the post-Newtonian order and derive
corresponding equations of motion.
In the chapter 4,the N spinning particle results are reduced
to the case of a binary system. To see how the spin effects come
in, the equations of motion, the central position,the total
energy and the total angular momentum are evaluated including
spin effects. Finally, consider a general elliptical
orbit, and obtain the velocities, spin vectors,and position
in all three directions One find that, in particular, the
velocity and the displacement in the z-direction are non-
zero. Only in the post-Newtonian or higher orders, the
spin effects cause the binary system to leave the plane of the
Newtonian orbit.
Most stars possess spin. If we want an accurate result, we can
not but consider the spin effects.
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author2 |
Cho H.T. |
author_facet |
Cho H.T. Hsiao, Yu-Kuo 蕭佑國 |
author |
Hsiao, Yu-Kuo 蕭佑國 |
spellingShingle |
Hsiao, Yu-Kuo 蕭佑國 The Post-Newtonian Approximation for Spinning Particles |
author_sort |
Hsiao, Yu-Kuo |
title |
The Post-Newtonian Approximation for Spinning Particles |
title_short |
The Post-Newtonian Approximation for Spinning Particles |
title_full |
The Post-Newtonian Approximation for Spinning Particles |
title_fullStr |
The Post-Newtonian Approximation for Spinning Particles |
title_full_unstemmed |
The Post-Newtonian Approximation for Spinning Particles |
title_sort |
post-newtonian approximation for spinning particles |
publishDate |
1998 |
url |
http://ndltd.ncl.edu.tw/handle/54425085759778929957 |
work_keys_str_mv |
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