{"query": "Kepler's law, and the pull between Earth and Moon", "count": 20, "results": [{"id": "card_works_astronomy", "title": "Kepler's law, and the pull between Earth and Moon", "shelf": "the-works", "surface": "secular", "snippet": "Kepler's third law binds a planet's period to its orbit (T² = a³); Newton's gravity gives the force holding the Moon — about 2 × 10²⁰ newtons.  Worked & sealed by the engine — T² = a³ for Earth (1 yr,", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_theory_heliocentrism_kepler_s_laws", "title": "Heliocentrism & Kepler's laws", "shelf": "theories", "surface": "secular", "snippet": "Heliocentrism & Kepler's laws — an engine domain that can touch it: astronomy. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it. Three laws, from Tycho", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_newton_s_law_of_universal_gravitation", "title": "Newton's law of universal gravitation", "shelf": "theories", "surface": "secular", "snippet": "Newton's law of universal gravitation — an engine domain that can touch it: physics. Calibration: seals. F = G·m₁m₂/r². Every mass attracts every other, with a force falling as the SQUARE of the dista", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_multiple_choice_596cfabf", "title": "Multiple Choice — Physics", "shelf": "physics", "surface": "secular", "snippet": "Multiple Choice\n\n7.1\n\nKepler's Laws of Planetary Motion\n\n20.\n\nA planet of mass m circles a sun of mass M. Which distance changes throughout the planet’s orbit?\n\n21\n.\n\nThe focal point of the elliptical", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_astro_orbits", "title": "Orbits - Kepler, Newton, Einstein", "shelf": "codex", "surface": "secular", "snippet": "Planets obey Kepler's laws and Newton's gravity (sealed on the astronomy stick); near a mass, general relativity corrects them (Mercury's precession).", "authority_tier": "engine_derived", "source": "Narrow Highway — astro", "readable": false, "generated": false}, {"id": "card_src_word_kepler_s_law", "title": "kepler's law", "shelf": "dictionary", "surface": "secular", "snippet": "kepler's law: (noun) (astronomy) one of three empirical laws of planetary motion stated by Johannes Kepler — syn: Kepler's law of planetary motion", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_kepler_s_law_of_planetary_motion", "title": "kepler's law of planetary motion", "shelf": "dictionary", "surface": "secular", "snippet": "kepler's law of planetary motion: (noun) (astronomy) one of three empirical laws of planetary motion stated by Johannes Kepler — syn: Kepler's law", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_openstax_college_physics_ap_courses_6_6_satellites_and_kepler_s_laws_an_argu_26a7134e", "title": "6.6 Satellites and Kepler's Laws: An Argument for Simplicity — College Physics for AP® Courses", "shelf": "physics", "surface": "secular", "snippet": "6.6\n\nSatellites and Kepler's Laws: An Argument for Simplicity\n\nLearning Objectives\n\nBy the end of this section, you will be able to:\n\nState Kepler's laws of planetary motion.\n\nDerive Kepler's third la", "authority_tier": "reference", "source": "OpenStax: College Physics for AP® Courses (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_word_kepler_s_third_law", "title": "kepler's third law", "shelf": "dictionary", "surface": "secular", "snippet": "kepler's third law: (noun) a law stating that the ratio of the square of the revolutionary period (in years) to the cube of the orbital axis (in astronomical units) is the same for all planets — syn: ", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_7_1_kepler_s_laws_of_planetary_motion_7825821d", "title": "7.1 Kepler's Laws of Planetary Motion — Physics", "shelf": "physics", "surface": "secular", "snippet": "7.1\n\nKepler's Laws of Planetary Motion\n\nSection Learning Objectives\n\nBy the end of this section, you will be able to do the following:\n\nExplain Kepler’s three laws of planetary motion\n\nApply Kepler’s ", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_word_kepler_s_first_law", "title": "kepler's first law", "shelf": "dictionary", "surface": "secular", "snippet": "kepler's first law: (noun) a law stating that the orbit of each planet is an ellipse with the sun at one focus of the ellipse", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_openstax_university_physics_volume_1_13_5_kepler_s_laws_of_planetary_motion_f2c8f74a", "title": "13.5 Kepler's Laws of Planetary Motion — University Physics Volume 1", "shelf": "physics", "surface": "secular", "snippet": "13.5\n\nKepler's Laws of Planetary Motion\n\nLearning Objectives\nBy the end of this section, you will be able to:\n\nDescribe the conic sections and how they relate to orbital motion\n\nDescribe how orbital v", "authority_tier": "reference", "source": "OpenStax: University Physics Volume 1 (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_calc_kepler_third", "title": "Kepler's third law", "shelf": "calculations", "surface": "secular", "snippet": "Kepler's third law — astronomy. Formula: T^2 = a^3. Canonical FORM: power_law (y = a * x^k) — orbital period scales as a power of distance. Same form, different domain: this is the power_law computati", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_src_word_harmonic_law", "title": "harmonic law", "shelf": "dictionary", "surface": "secular", "snippet": "harmonic law: (noun) a law stating that the ratio of the square of the revolutionary period (in years) to the cube of the orbital axis (in astronomical units) is the same for all planets — syn: Kepler", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_kepler_s_second_law", "title": "kepler's second law", "shelf": "dictionary", "surface": "secular", "snippet": "kepler's second law: (noun) a law concerning the speed at which planets travel — syn: law of areas, law of equal areas", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_law_of_areas", "title": "law of areas", "shelf": "dictionary", "surface": "secular", "snippet": "law of areas: (noun) a law concerning the speed at which planets travel — syn: Kepler's second law, law of equal areas", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_law_of_equal_areas", "title": "law of equal areas", "shelf": "dictionary", "surface": "secular", "snippet": "law of equal areas: (noun) a law concerning the speed at which planets travel — syn: Kepler's second law, law of areas", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_brahe", "title": "brahe", "shelf": "dictionary", "surface": "secular", "snippet": "brahe: (noun) Danish astronomer whose observations of the planets provided the basis for Kepler's laws of planetary motion (1546-1601) — syn: Tycho Brahe", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_theory_physical_oceanography", "title": "Physical oceanography (hydrostatics, tides)", "shelf": "theories", "surface": "secular", "snippet": "Physical oceanography (hydrostatics, tides) — an engine domain that can touch it: oceanography. Calibration: seals — pressure with depth and tidal periods compute. Pressure rises about one atmosphere ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_survival_find_water", "title": "Finding water in the wild", "shelf": "survival", "surface": "secular", "snippet": "Look downhill and in green valleys, at the base of cliffs, and where animals trail. Rainwater and morning dew (sponged from grass) are among the safest. Running water above human habitation beats stag", "authority_tier": "reference", "source": "U.S. Army Survival Manual FM 21-76 (public domain)", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_works_astronomy"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}