phenomenon 53.6 Precession of a gyroscope in orbit

open in the book · parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:1050 · p. 1424

Rests on

depends_on postulate 43.1 Geodesic motion ¶
depends_on theorem 45.30 Kerr solution; imported ¶
- depends_on theorem 45.1 Schwarzschild solution ¶
  - depends_on equation 13.306 eq:mfd-riemann ¶
  - depends_on postulate 43.1 Geodesic motion ¶ ↺
  - depends_on theorem 13.150 Levi-Civita connection and contorsion ¶
    - depends_on definition 13.145 Affine connection ¶
      - depends_on definition 13.90 Mixed tensor ¶
      - depends_on definition 13.82 Vector field ¶
    - depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶
      - depends_on definition 13.48 Differentiable manifold ¶
      - depends_on definition 13.84 Tensor ¶
    - depends_on definition 13.149 Metric compatibility ¶
      - depends_on definition 13.145 Affine connection ¶ ↺
      - depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶ ↺
      - depends_on definition 13.146 Parallel transport and autoparallels ¶
    - depends_on definition 13.147 Torsion ¶
      - depends_on definition 13.145 Affine connection ¶ ↺
    - proves proof ch:11-manifolds-tensors-curvature@proof-41 ¶
  - proves proof ch:04-schwarzschild-black-holes@proof-1 ¶
proves proof ch:12-exp-classical-tests@proof-7 ¶

Supports

tests experiment Lunar laser ranging and Gravity Probe B ¶
- cites (method) derived bib 22 Gravity Probe B: Final Results of a Space Experiment to Test General Relativity ¶
- cites (evidence) derived bib 22 Gravity Probe B: Final Results of a Space Experiment to Test General Relativity ¶ ↺
- cites (evidence) derived bib 22 Gravity Probe B: Final Results of a Space Experiment to Test General Relativity ¶ ↺
- cites (history) derived bib Über den Einfluß der Eigenrotation der Zentralkörper auf die Bewegung der Planeten und Monde nach der Einsteinschen Gravitationstheorie ¶
- cites (method) derived bib 18 APOLLO: millimeter lunar laser ranging ¶
- cites (history) derived bib 5 Equivalence Principle for Massive Bodies. II. Theory ¶
- cites (history) derived bib 5 Equivalence Principle for Massive Bodies. II. Theory ¶ ↺
- cites (history) derived bib Über die Wirkung rotierender ferner Massen in der Einsteinschen Gravitationstheorie ¶
- cites (method) derived bib 26 Progress in Lunar Laser Ranging Tests of Relativistic Gravity ¶
- cites (evidence) derived bib 26 Progress in Lunar Laser Ranging Tests of Relativistic Gravity ¶ ↺
- cites (evidence) derived bib 26 Progress in Lunar Laser Ranging Tests of Relativistic Gravity ¶ ↺

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`cites` (evidence)	→	Gravity Probe B: Final Results of a Space Experiment to Test General Relativity	derived	parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:1068
`cites` (history)	→	Equivalence Principle for Massive Bodies. II. Theory	derived	parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:1074
`cites` (history)	→	Possible New Experimental Test of General Relativity Theory	derived	parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:1063
`cites` (evidence)	→	Progress in Lunar Laser Ranging Tests of Relativistic Gravity	derived	parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:1074
`depends_on`	→	Geodesic motion	declared	parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:1075
`depends_on`	→	Kerr solution; imported	declared	parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:1075
`proves`	←	ch:12-exp-classical-tests@proof-7	declared	parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:1078
`tests`	←	Lunar laser ranging and Gravity Probe B	declared	parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:989