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The 75 pages that link to Kepler's laws of planetary motion, each with the reason it gives.

• Isaac NewtonRelated: Newton’s gravitational theory explained why the planetary patterns Kepler had found hold.

• Orbital mechanicsRelated: They summarize the geometry and timing of ideal gravitational orbits.

• Newton's law of universal gravitationRelated: Newton derived these orbital patterns from universal gravitation and motion.

• Celestial mechanicsRelated: They summarize the regular patterns that gravitational mechanics explains.

• Binary starRelated: They connect a binary's orbital period and separation to the stars' combined mass.

• Conic sectionRelated: The first law identifies planetary orbits as ellipses with the Sun at one focus.

• Tycho BraheRelated: Kepler extracted these laws from the planetary positions Brahe had recorded.

• Astronomical unitRelated: Their period–distance relation is commonly expressed with orbital distances in astronomical units.

• Geostationary orbitRelated: They relate orbital period and distance, fixing the orbit’s radius.

• Earth's orbitRelated: They describe the shape and speed variation of Earth's orbit.

• AstronomyRelated: They provide a foundational description of orbital motion in planetary systems.

• HeliocentrismRelated: Elliptical orbits replaced the Copernican system’s circles and improved its predictions.

• Stellar massRelated: Orbital periods and separations yield component masses in binary stars.

• EphemerisRelated: They provide a foundational approximation for predicting planetary positions.

• Copernican heliocentrismRelated: They corrected Copernicus’s circular orbits while retaining the Sun-centered framework.

• Edmond HalleyRelated: Kepler’s rules supplied the orbital framework Halley applied to comet observations.

• EllipseRelated: Kepler’s first law identifies planetary orbits as ellipses with the Sun at one focus.

• Philosophiæ Naturalis Principia MathematicaRelated: Newton derived these orbital regularities from his laws and gravitational force.

• Mercury's perihelion precessionRelated: In an ideal two-body Newtonian system, Keplerian ellipses do not rotate.

• Kepler Space TelescopeRelated: Transit timing and orbital periods connect Kepler detections to the geometry of planetary orbits.

• SiriusRelated: They connect Sirius A and B’s orbital period to their separation and masses.

• Semimajor axisRelated: Kepler’s third law links a body's orbital period to its semimajor axis.

• Apollonius of PergaRelated: Kepler identified planetary orbits as ellipses, a major later use of conic geometry.

• Alpha CentauriRelated: They provide a starting point for describing the A–B orbit.

• Conservation of angular momentumRelated: Equal areas in equal times express angular momentum conservation for a planet under central gravity.

• PeriapsisRelated: The equal-area law explains why orbital speed peaks at periapsis.

• PerihelionRelated: The equal-area law predicts that an orbiting body moves fastest near perihelion.

• Kirkwood gapRelated: They connect an asteroid’s distance from the Sun to its orbital period.

• OrbitRelated: They relate an orbit’s shape, speed, and period to the central body.

• Gravitational parameterRelated: The third law relates an orbit's period and size to the central body's gravitational parameter.

• LibrationRelated: An elliptical orbit makes orbital speed vary, producing longitudinal optical libration.

• Transit timing variationRelated: They provide the idealized orbital predictions against which timing departures are measured.

• Rudolphine TablesRelated: These laws supplied the orbital model used to calculate planetary positions.

• Astronomical observationRelated: Tycho Brahe’s precise positional observations enabled Kepler to derive these laws.

• Earth's massRelated: Orbital periods and sizes connect gravitational dynamics to the mass of a central body.

• Planetary orbitRelated: These laws summarize the geometry and timing of planetary motion.

• Medium Earth orbitRelated: They explain why MEO satellites move more slowly than low-orbit satellites.

• SatelliteRelated: They approximate satellite orbits and relate orbital size to period.

• Solar massRelated: Orbital observations provide a route to measuring the Sun’s mass.

• Molniya orbitRelated: Kepler’s second law explains why the satellite moves slowly near apogee.

• Reinhard GenzelRelated: Orbital measurements connect a star’s period and distance to the enclosed mass.

• Kepler orbitRelated: They summarize observable regularities that Newtonian Kepler orbits explain.

• Titius–Bode lawRelated: They describe planetary motion, but do not derive the law’s spacing pattern.

• Geosynchronous orbitRelated: Kepler’s third law links the geosynchronous period to its characteristic orbital radius.

• Moons of HaumeaRelated: Orbital periods and separations of the moons are interpreted through these laws.

• Astronomical masses and mass distributionsRelated: Orbital periods and distances yield the combined mass of an orbiting system.

• Astronomical system of unitsRelated: The system’s distance and time units simplify their orbital relationships.

• Location of EarthRelated: They describe the geometry and pace of Earth’s annual orbit.

• Maria CunitzRelated: The planetary predictions in Cunitz’s tables rested on Kepler’s orbital theory.

• Newton's theorem of revolving orbitsRelated: The theorem extends the analysis of the nonuniform orbital motion Kepler described.