phenomenon 50.3 Relativistic redshift and precession of a stellar orbit

open in the book · parts/05-general-relativity-cosmology/09-exp-black-holes.tex:567 · p. 1365

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

depends_on phenomenon 42.6 Anomalous perihelion advance of Mercury ¶
- depends_on equation 53.2 eq:clt-orbit-equation ¶
- depends_on postulate 43.1 Geodesic motion ¶
- proves proof ch:01-equivalence-classical-tests@proof-4 ¶
depends_on phenomenon 42.5 Gravitational redshift ¶
- depends_on definition 42.2 The equivalence principle in three strengths ¶
- proves proof ch:01-equivalence-classical-tests@proof-3 ¶
depends_on phenomenon 38.13 Time dilation ¶
- depends_on definition 38.12 Proper time ¶
  - depends_on definition 38.6 Minkowski metric and interval ¶
    - depends_on proposition 38.5 The invariant interval ¶
      - depends_on equation 38.1 eq:lor-beta-gamma ¶
      - depends_on theorem 38.4 Lorentz boost ¶
      - proves proof ch:02-lorentz-transformations@proof-2 ¶
  - depends_on proposition 38.5 The invariant interval ¶ ↺
- depends_on equation 38.3 eq:lor-boost-t ¶
- depends_on theorem 38.4 Lorentz boost ¶ ↺
- proves proof ch:02-lorentz-transformations@proof-5 ¶
proves proof ch:09-exp-black-holes@proof-3 ¶

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type	direction	node	provenance	where
`cites` (evidence)	→	Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole	derived	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:573
`cites` (evidence)	→	Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole	derived	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:578
`cites` (evidence)	→	Relativistic redshift of the star S0-2 orbiting the Galactic Center supermassive black hole	derived	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:574
`depends_on`	→	Anomalous perihelion advance of Mercury	declared	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:582
`depends_on`	→	Gravitational redshift	declared	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:582
`depends_on`	→	Time dilation	declared	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:582
`proves`	←	ch:09-exp-black-holes@proof-3	declared	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:586