phenomenon 27.35 Kepler's third law

open in the book · parts/03-classical-mechanics/10-central-forces-statics.tex:1204 · p. 939

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

Rests on

depends_on equation 27.47 eq:cfs-conic ¶
depends_on equation 27.22 eq:cfs-kepler-second ¶
depends_on theorem 27.30 Reduction of the two-body problem ¶
- depends_on equation 19.38 eq:newt-cm-position ¶
- depends_on equation 19.4 eq:newt-fma ¶
- depends_on postulate 19.48 Newton's third law ¶
  - depends_on definition 19.2 Interaction ¶
    - depends_on definition 18.3 Particle ¶
    - depends_on postulate 19.1 Inertia ¶
      - depends_on definition 18.8 Inertial frame of reference ¶
      - depends_on definition 18.3 Particle ¶ ↺
  - 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 19.3 Mass ¶
    - depends_on postulate 19.6 Newton's first law ¶
      - depends_on definition 18.8 Inertial frame of reference ¶ ↺
      - depends_on definition 19.5 Linear momentum ¶ ↺
- proves proof ch:10-central-forces-statics@proof-18 ¶
proves proof ch:10-central-forces-statics@proof-21 ¶

Supports

depends_on phenomenon 50.5 Black-hole masses from gravitational waves ¶
depends_on phenomenon 50.1 Dark companions too massive to be neutron stars ¶
depends_on phenomenon 50.2 Four million solar masses inside the orbit of a single star ¶

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`	→	Philosophiæ Naturalis Principia Mathematica	derived	parts/03-classical-mechanics/10-central-forces-statics.tex:1214
`depends_on`	→	eq:cfs-conic	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:1215
`depends_on`	→	eq:cfs-kepler-second	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:1215
`depends_on`	→	Reduction of the two-body problem	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:1215
`depends_on`	←	Black-hole masses from gravitational waves	declared	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:808
`depends_on`	←	Dark companions too massive to be neutron stars	declared	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:388
`depends_on`	←	Four million solar masses inside the orbit of a single star	declared	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:530
`proves`	←	ch:10-central-forces-statics@proof-21	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:1219