{
  "calculated_at_utc": "2026-11-04T17:23:51.294393+00:00",
  "basis": "Newly fetched official ephemeris longitudes with transparent local angle arithmetic; no third-party calculator submission claimed",
  "formula": "d=abs(lambda1-lambda2) mod 360; separation=min(d,360-d); square_orb=abs(separation-90); double=(forward_orb<=cap and reciprocal_orb<=cap)",
  "threshold_policy": "Six and seven degrees are declared inclusive test settings, not a universal astrological standard",
  "case_count": 3,
  "limits": [
    "These are astronomical test instants, not actual people, couples or relationship evidence.",
    "The scan is stepped in program time; nominal dates must be re-queried at exact UTC noon before publishing timestamp claims.",
    "This selected scan cannot estimate prevalence in human relationships or strength of attraction.",
    "Novel numerical analysis is not proof that an English webpage has never published the same conclusion or sentences.",
    "The general instruction to check both contacts is already on the existing homepage and must not be counted as new content.",
    "No proof of psychological reciprocity, equal desire, compatibility or relationship duration is provided."
  ],
  "cases": [
    {
      "purpose": "Both directions qualify at six degrees despite unequal orbs",
      "selection_rule": "Largest orb difference among all matching scan pairs at least 30 daily steps apart",
      "a_input_utc": "2000-01-26T12:00:00Z",
      "b_input_utc": "2000-11-07T12:00:00Z",
      "status": "EXACT_UTC_OFFICIAL_LONGITUDES_AND_LOCAL_ARITHMETIC_VERIFIED",
      "a_positions": {
        "Venus": {
          "longitude_degrees": "272.05149848218",
          "speed_degrees_per_day": "1.22747371395032179"
        },
        "Mars": {
          "longitude_degrees": "347.31109471762",
          "speed_degrees_per_day": "0.77034720795348999"
        }
      },
      "b_positions": {
        "Venus": {
          "longitude_degrees": "263.27542031529",
          "speed_degrees_per_day": "1.20438322971491218"
        },
        "Mars": {
          "longitude_degrees": "182.10409738693",
          "speed_degrees_per_day": "0.61521289819507441"
        }
      },
      "a_venus_b_mars": {
        "separation_degrees": "89.94740109525",
        "square_orb_degrees": "0.05259890475",
        "within_six_inclusive": true,
        "within_seven_inclusive": true
      },
      "b_venus_a_mars": {
        "separation_degrees": "84.03567440233",
        "square_orb_degrees": "5.96432559767",
        "within_six_inclusive": true,
        "within_seven_inclusive": true
      },
      "double_under_6_inclusive": true,
      "double_under_7_inclusive": true
    },
    {
      "purpose": "Two directions at seven degrees but only one at six degrees",
      "selection_rule": "Largest orb difference among matching asymmetric-cutoff scan pairs at least 30 daily steps apart",
      "a_input_utc": "2000-04-26T12:00:00Z",
      "b_input_utc": "2000-08-02T12:00:00Z",
      "status": "EXACT_UTC_OFFICIAL_LONGITUDES_AND_LOCAL_ARITHMETIC_VERIFIED",
      "a_positions": {
        "Venus": {
          "longitude_degrees": "24.31398389706",
          "speed_degrees_per_day": "1.23166357861652687"
        },
        "Mars": {
          "longitude_degrees": "54.85005182507",
          "speed_degrees_per_day": "0.70781233849539005"
        }
      },
      "b_positions": {
        "Venus": {
          "longitude_degrees": "144.79697456352",
          "speed_degrees_per_day": "1.22991134957334824"
        },
        "Mars": {
          "longitude_degrees": "120.93495585845",
          "speed_degrees_per_day": "0.64717309660606903"
        }
      },
      "a_venus_b_mars": {
        "separation_degrees": "96.62097196139",
        "square_orb_degrees": "6.62097196139",
        "within_six_inclusive": false,
        "within_seven_inclusive": true
      },
      "b_venus_a_mars": {
        "separation_degrees": "89.94692273845",
        "square_orb_degrees": "0.05307726155",
        "within_six_inclusive": true,
        "within_seven_inclusive": true
      },
      "double_under_6_inclusive": false,
      "double_under_7_inclusive": true
    },
    {
      "purpose": "A closer double square for comparison; not a behavioral control group",
      "selection_rule": "Smallest larger orb among matching scan pairs at least 30 daily steps apart",
      "a_input_utc": "2000-05-04T12:00:00Z",
      "b_input_utc": "2000-08-07T12:00:00Z",
      "status": "EXACT_UTC_OFFICIAL_LONGITUDES_AND_LOCAL_ARITHMETIC_VERIFIED",
      "a_positions": {
        "Venus": {
          "longitude_degrees": "34.16438213202",
          "speed_degrees_per_day": "1.23091918027435265"
        },
        "Mars": {
          "longitude_degrees": "60.48833335301",
          "speed_degrees_per_day": "0.70179191582876366"
        }
      },
      "b_positions": {
        "Venus": {
          "longitude_degrees": "150.94575794756",
          "speed_degrees_per_day": "1.22958372158108253"
        },
        "Mars": {
          "longitude_degrees": "124.16525966728",
          "speed_degrees_per_day": "0.64497892268641976"
        }
      },
      "a_venus_b_mars": {
        "separation_degrees": "90.00087753526",
        "square_orb_degrees": "0.00087753526",
        "within_six_inclusive": true,
        "within_seven_inclusive": true
      },
      "b_venus_a_mars": {
        "separation_degrees": "90.45742459455",
        "square_orb_degrees": "0.45742459455",
        "within_six_inclusive": true,
        "within_seven_inclusive": true
      },
      "double_under_6_inclusive": true,
      "double_under_7_inclusive": true
    }
  ],
  "official_outputs": [
    {
      "source": "Astrodienst official Swiss Ephemeris Test",
      "source_documentation": "https://www.astro.com/swisseph/swetest.htm",
      "url": "https://www.astro.com/cgi/swetest.cgi?b=26.1.2000&p=34&n=1&s=1&f=JPls&arg=-utc12%3A00%3A00+-eswe+-speed+-g%2C+-ep+-lim",
      "input_utc": "2000-01-26T12:00:00Z",
      "requested_options": "-utc12:00:00 -eswe -speed -g, -ep -lim",
      "http_status": 200,
      "planets": {
        "Venus": {
          "longitude_degrees": "272.05149848218",
          "speed_degrees_per_day": "1.22747371395032179"
        },
        "Mars": {
          "longitude_degrees": "347.31109471762",
          "speed_degrees_per_day": "0.77034720795348999"
        }
      },
      "returned_version": "2.10.04",
      "checked_at_utc": "2026-11-04T17:23:50.616697+00:00"
    },
    {
      "source": "Astrodienst official Swiss Ephemeris Test",
      "source_documentation": "https://www.astro.com/swisseph/swetest.htm",
      "url": "https://www.astro.com/cgi/swetest.cgi?b=7.11.2000&p=34&n=1&s=1&f=JPls&arg=-utc12%3A00%3A00+-eswe+-speed+-g%2C+-ep+-lim",
      "input_utc": "2000-11-07T12:00:00Z",
      "requested_options": "-utc12:00:00 -eswe -speed -g, -ep -lim",
      "http_status": 200,
      "planets": {
        "Venus": {
          "longitude_degrees": "263.27542031529",
          "speed_degrees_per_day": "1.20438322971491218"
        },
        "Mars": {
          "longitude_degrees": "182.10409738693",
          "speed_degrees_per_day": "0.61521289819507441"
        }
      },
      "returned_version": "2.10.04",
      "checked_at_utc": "2026-11-04T17:23:51.286732+00:00"
    },
    {
      "source": "Astrodienst official Swiss Ephemeris Test",
      "source_documentation": "https://www.astro.com/swisseph/swetest.htm",
      "url": "https://www.astro.com/cgi/swetest.cgi?b=26.4.2000&p=34&n=1&s=1&f=JPls&arg=-utc12%3A00%3A00+-eswe+-speed+-g%2C+-ep+-lim",
      "input_utc": "2000-04-26T12:00:00Z",
      "requested_options": "-utc12:00:00 -eswe -speed -g, -ep -lim",
      "http_status": 200,
      "planets": {
        "Venus": {
          "longitude_degrees": "24.31398389706",
          "speed_degrees_per_day": "1.23166357861652687"
        },
        "Mars": {
          "longitude_degrees": "54.85005182507",
          "speed_degrees_per_day": "0.70781233849539005"
        }
      },
      "returned_version": "2.10.04",
      "checked_at_utc": "2026-11-04T17:23:50.620519+00:00"
    },
    {
      "source": "Astrodienst official Swiss Ephemeris Test",
      "source_documentation": "https://www.astro.com/swisseph/swetest.htm",
      "url": "https://www.astro.com/cgi/swetest.cgi?b=2.8.2000&p=34&n=1&s=1&f=JPls&arg=-utc12%3A00%3A00+-eswe+-speed+-g%2C+-ep+-lim",
      "input_utc": "2000-08-02T12:00:00Z",
      "requested_options": "-utc12:00:00 -eswe -speed -g, -ep -lim",
      "http_status": 200,
      "planets": {
        "Venus": {
          "longitude_degrees": "144.79697456352",
          "speed_degrees_per_day": "1.22991134957334824"
        },
        "Mars": {
          "longitude_degrees": "120.93495585845",
          "speed_degrees_per_day": "0.64717309660606903"
        }
      },
      "returned_version": "2.10.04",
      "checked_at_utc": "2026-11-04T17:23:51.288148+00:00"
    },
    {
      "source": "Astrodienst official Swiss Ephemeris Test",
      "source_documentation": "https://www.astro.com/swisseph/swetest.htm",
      "url": "https://www.astro.com/cgi/swetest.cgi?b=4.5.2000&p=34&n=1&s=1&f=JPls&arg=-utc12%3A00%3A00+-eswe+-speed+-g%2C+-ep+-lim",
      "input_utc": "2000-05-04T12:00:00Z",
      "requested_options": "-utc12:00:00 -eswe -speed -g, -ep -lim",
      "http_status": 200,
      "planets": {
        "Venus": {
          "longitude_degrees": "34.16438213202",
          "speed_degrees_per_day": "1.23091918027435265"
        },
        "Mars": {
          "longitude_degrees": "60.48833335301",
          "speed_degrees_per_day": "0.70179191582876366"
        }
      },
      "returned_version": "2.10.04",
      "checked_at_utc": "2026-11-04T17:23:50.626932+00:00"
    },
    {
      "source": "Astrodienst official Swiss Ephemeris Test",
      "source_documentation": "https://www.astro.com/swisseph/swetest.htm",
      "url": "https://www.astro.com/cgi/swetest.cgi?b=7.8.2000&p=34&n=1&s=1&f=JPls&arg=-utc12%3A00%3A00+-eswe+-speed+-g%2C+-ep+-lim",
      "input_utc": "2000-08-07T12:00:00Z",
      "requested_options": "-utc12:00:00 -eswe -speed -g, -ep -lim",
      "http_status": 200,
      "planets": {
        "Venus": {
          "longitude_degrees": "150.94575794756",
          "speed_degrees_per_day": "1.22958372158108253"
        },
        "Mars": {
          "longitude_degrees": "124.16525966728",
          "speed_degrees_per_day": "0.64497892268641976"
        }
      },
      "returned_version": "2.10.04",
      "checked_at_utc": "2026-11-04T17:23:51.289473+00:00"
    }
  ]
}