phenomenon 42.4 The lunar orbit is not polarized toward the Sun
open in the book ·
parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:313
· p. 1249
Rests on
-
depends_on
phenomenon 42.1
Universality of free fall
¶
-
depends_on
postulate 19.8
Newton's second law
¶
-
depends_on
definition 19.5
Linear momentum
¶
-
depends_on
definition 18.10
Velocity
¶
- depends_on definition 7.26 Derivative of a function at a point ¶
- depends_on definition 18.9 Position ¶
- depends_on definition 13.9 Tangent vector to a curve ¶
- depends_on definition 19.3 Mass ¶
-
depends_on
definition 18.10
Velocity
¶
-
depends_on
postulate 19.6
Newton's first law
¶
-
depends_on
definition 18.8
Inertial frame of reference
¶
- depends_on definition 18.7 Frame of reference ¶
- depends_on definition 18.6 Free particle ¶
- depends_on definition 19.5 Linear momentum ¶ ↺
-
depends_on
definition 18.8
Inertial frame of reference
¶
-
depends_on
definition 19.5
Linear momentum
¶
- proves proof ch:01-equivalence-classical-tests@proof-1 ¶
-
depends_on
postulate 19.8
Newton's second law
¶
-
depends_on
theorem 29.51
Equation of motion in a rotating frame
¶
- depends_on postulate 19.8 Newton's second law ¶ ↺
-
depends_on
theorem 29.7
Transport theorem
¶
-
depends_on
definition 29.4
Angular velocity
¶
- depends_on definition 14.26 The rotation group ¶
-
depends_on
lemma 14.62
The Levi-Civita symbol is invariant
¶
- depends_on equation 13.223 eq:mfd-epsilon-density ¶
- depends_on example 13.94 The two densities this chapter uses ¶
- depends_on notation 14.1 not:lie-indices ¶
- proves proof ch:12-lie-groups-fibre-bundles@proof-29 ¶
-
depends_on
proposition 14.27
Generators of $\mathfrak{so}(3)$
¶
- depends_on definition 14.26 The rotation group ¶ ↺
- proves proof ch:12-lie-groups-fibre-bundles@proof-8 ¶
-
depends_on
proposition 29.5
The velocity field of a rigid body
¶
- depends_on definition 29.4 Angular velocity ¶ ↺
- depends_on equation 29.1 eq:rigid-constraint ¶
- proves proof ch:12-rigid-body-rotating-frames@proof-3 ¶
- proves proof ch:12-rigid-body-rotating-frames@proof-5 ¶
-
depends_on
definition 29.4
Angular velocity
¶
- proves proof ch:12-rigid-body-rotating-frames@proof-34 ¶
- proves proof ch:01-equivalence-classical-tests@proof-2 ¶
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 |
→ | Equivalence Principle for Massive Bodies. II. Theory | derived | parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:320 |
cites |
→ | The Confrontation between General Relativity and Experiment | derived | parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:326 |
cites |
→ | Progress in Lunar Laser Ranging Tests of Relativistic Gravity | derived | parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:323 |
depends_on |
→ | Universality of free fall | declared | parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:327 |
depends_on |
→ | Equation of motion in a rotating frame | declared | parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:327 |
proves |
← | ch:01-equivalence-classical-tests@proof-2 | declared | parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:330 |
tests |
← | Lunar laser ranging and Gravity Probe B | declared | parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:989 |