{"query": "Orbits - Kepler, Newton, Einstein", "count": 20, "results": [{"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_theory_honeycomb_conjecture", "title": "Optimal packing & the honeycomb conjecture (Hales)", "shelf": "theories", "surface": "secular", "snippet": "The hexagonal grid is the most efficient way to divide a surface into regions of equal area with the LEAST TOTAL PERIMETER. Stated by Pappus of Alexandria around 300 AD as an observation about bees, i", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_platonic_solids", "title": "The five Platonic solids", "shelf": "theories", "surface": "secular", "snippet": "The five Platonic solids — an engine domain that can touch it: geometry. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it, and seal them. There are EXA", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_builder_johannes_kepler", "title": "Johannes Kepler", "shelf": "builders", "surface": "secular", "snippet": "Johannes Kepler (1571–1630 AD) — science. The gift: the three laws of planetary motion — he broke the 2000-year spell of the circle and found the ellipse, uniting physics and astronomy. Where it fell ", "authority_tier": "reference", "source": "The builders of the Floor — credited with love, calibrated to the plumb-line", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_section_summary_9d8f0b4f", "title": "Section Summary — Physics", "shelf": "physics", "surface": "secular", "snippet": "Section Summary\n\n7.1\n\nKepler's Laws of Planetary Motion\n\nAll satellites follow elliptical orbits.\n\nThe line from the satellite to the parent body sweeps out equal areas in equal time.\n\nThe radius cube", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_key_terms_5cb70420", "title": "Key Terms — Physics", "shelf": "physics", "surface": "secular", "snippet": "Key Terms\n\naphelionthe point farthest from the sun in the path of an orbiting planet (called apoapsis for other celestial bodies)\n\nCopernican modelthe model of the solar system where the sun is at the", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_floor_astronomy", "title": "Astronomy — orbits, distances, and the cosmos", "shelf": "codex", "surface": "secular", "snippet": "Orbits obey Kepler and Newton; distances climb the ladder (parallax, standard candles); the cosmos is governed by general relativity. The orbital arithmetic is already sealed on the astronomy stick; t", "authority_tier": "engine_derived", "source": "Narrow Highway — astro", "readable": false, "generated": false}, {"id": "card_src_openstax_physics_introduction_33e5d378", "title": "Introduction — Physics", "shelf": "physics", "surface": "secular", "snippet": "Figure\n7.1\n\nJohannes Kepler (left) showed how the planets move, and Isaac Newton (right) discovered that gravitational force caused them to move that way. ((left) unknown, Public Domain; (right) Sir G", "authority_tier": "reference", "source": "OpenStax: Physics (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_calc_v_astronomy_kepler_third_law", "title": "Kepler third law", "shelf": "calculations", "surface": "secular", "snippet": "Kepler third law — astronomy. Formula: T^2 = a^3. Canonical FORM: power_law (y = a * x^k) — engine verifier astronomy.kepler_third_law — the deterministic check the concordance runs. Same form, differ", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_seal_8671c19c585491c3c79055cb2df4d976395b7e672bd35f559665995e3c4a8d33", "title": "Receipt 8671c19c5854… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"mathematics\",\n  \"dimensions\": [\n   \"reasoning\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    \"broken_at\": null,\n    \"confirmed_steps\": 1,\n    \"error", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_seal_54b684847fc4f277f296db71766b45eac629368a3923182957ba06255a643001", "title": "Receipt 54b684847fc4… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"astronomy\",\n  \"dimensions\": [\n   \"conservation_balance\",\n   \"physical_substance\",\n   \"time_sequence\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    \"", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_src_word_johan_kepler", "title": "johan kepler", "shelf": "dictionary", "surface": "secular", "snippet": "johan kepler: (noun) German astronomer who first stated laws of planetary motion (1571-1630) — syn: Kepler, Johannes Kepler", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_kepler", "title": "kepler", "shelf": "dictionary", "surface": "secular", "snippet": "kepler: (noun) German astronomer who first stated laws of planetary motion (1571-1630) — syn: Johannes Kepler, Johan Kepler", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_johannes_kepler", "title": "johannes kepler", "shelf": "dictionary", "surface": "secular", "snippet": "johannes kepler: (noun) German astronomer who first stated laws of planetary motion (1571-1630) — syn: Kepler, Johan Kepler", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_openstax_astronomy_for_further_exploration_787f539f", "title": "For Further Exploration — Astronomy", "shelf": "astronomy", "surface": "secular", "snippet": "For Further Exploration\n\nArticles\n\nBrahe and Kepler\n\nChristianson, G. “The Celestial Palace of Tycho Brahe.” Scientific American (February 1961): 118.\n\nGingerich, O. “Johannes Kepler and the Rudolphin", "authority_tier": "reference", "source": "OpenStax: Astronomy (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_book_12406", "title": "Kepler — Walter W. (Walter William) Bryant", "shelf": "gutenberg", "surface": "secular", "snippet": "Kepler, by Walter W. (Walter William) Bryant. Subjects: Kepler, Johannes, 1571-1630. Read the full text (public domain): https://www.gutenberg.org/ebooks/12406", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_openstax_f_sica_universitaria_volumen_1_13_5_leyes_del_movimiento_planetario_de__ed391c5b", "title": "13.5 Leyes del movimiento planetario de Kepler — Física universitaria volumen 1", "shelf": "reference", "surface": "secular", "snippet": "13.5\n\nLeyes del movimiento planetario de Kepler\n\nObjetivos de aprendizaje\nAl final de esta sección, podrá:\n\nDescribir las secciones cónicas y su relación con el movimiento orbital.\n\nDescribir cómo se ", "authority_tier": "reference", "source": "OpenStax: Física universitaria volumen 1 (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_astronomy_2e_for_further_exploration_e7f667c6", "title": "For Further Exploration — Astronomy 2e", "shelf": "astronomy", "surface": "secular", "snippet": "For Further Exploration\n\nArticles\n\nBrahe and Kepler\n\nGingerich, O. “Johannes Kepler and the Rudolphine Tables.” Sky & Telescope (December 1971): 328. Brief article on Kepler’s work.\n\nRosenthal, J. “Ke", "authority_tier": "reference", "source": "OpenStax: Astronomy 2e (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_book_25992", "title": "The Martyrs of Science, or, The lives of Galileo, Tycho Brahe, and Kepler — David Brewster", "shelf": "gutenberg", "surface": "secular", "snippet": "The Martyrs of Science, or, The lives of Galileo, Tycho Brahe, and Kepler, by David Brewster. Subjects: Scientists -- Biography; Kepler, Johannes, 1571-1630; Galilei, Galileo, 1564-1642; Brahe, Tycho,", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "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_astro_orbits"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}