First experiment to test whether space-time is flat. II. Effects of orbit |
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Authors: | Zhang Junhao Chen Xiang |
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Institution: | (1) Department of Physics, Shantou University, Shantou, Guangdong, China |
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Abstract: | The gyroscope in an orbiting satellite will be acted on by additional gravitational fields due to the rotation of the earth and due to the orbital velocity of the satellite. According to special relativistic gravitational theory, we deduce
L
(S)
—the gyroscope's precession rate due to the orbital velocity—and
S
(S)
—the gyroscope's precession rate due to the earth's rotation in the polar orbit case. The results are
L
(S)
= (2/3)
L
(G)
,
S
(S)
= (3/2) cos (1 - sin2 cos2)1/2
S
(G)
, where and are the gyroscope's polar angles, and
L
(G)
and
S
(G)
are the geodetic and frame-dragging precession rates predicted by general relativity, respectively. |
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Keywords: | |
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