{"abstract":"Accumulated drift is 24 times too small.","category":"Orbital propagation","checks":7,"contract":"Input [a km, e, i deg, days]. With mu=398600.4418, Re=6378.137, J2=1.08263e-3, n=sqrt(mu/a^3), p=a(1-e^2): dRAAN/dt=-1.5 n J2 (Re/p)^2 cos i, dargp/dt=0.75 n J2 (Re/p)^2 (5cos^2 i-1). Return [RAAN drift deg, argp drift deg over the interval (rounded 4), sun-synchronous flag: |RAAN rate in deg/day - 0.9856|<0.01].","contract_signature":"x","evaluation_group":"w2-orbital_propagation-j2_secular","failed_approach":"Using 1440 treats the factor as minutes per day.","family":"w2-orbital_propagation-j2_secular-interval-length","id":"FA-69586","implementations":{"attempt":{"sha256":"d44926dedc0f7e0e6a5f31fe614a2a76fdad5451f422712f7972d81ac4fd8ece","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(x):\n    a,e,i,days=x\n    mu,Re,J2=398600.4418,6378.137,1.08263e-3\n    n=math.sqrt(mu/a**3)\n    p=a*(1-e*e)\n    ci=math.cos(math.radians(i))\n    fac=n*J2*(Re/p)**2\n    dO=-1.5*fac*ci\n    dw=0.75*fac*(5*ci*ci-1)\n    t=days*1440\n    sso=abs(math.degrees(dO)*86400-0.9856)<0.01\n    return [round(math.degrees(dO*t),4),round(math.degrees(dw*t),4),sso]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('j2 secular node and perigee drift [7078.0, 0.001, 98.19, 1]', [7078.0, 0.001, 98.19, 1], [0.986, -3.1094, True]), ('j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]', [7078.0, 0.001, 51.6, 1], [-4.2991, 3.2153, False]), ('j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]', [26560.0, 0.74, 63.4, 10], [-1.4793, 0.004, False]), ('j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]', [7000.0, 0.2, 28.5, 3], [-20.5825, 33.5103, False]), ('j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]', [6878.0, 0.0, 97.4, 2], [1.971, -7.0169, True]), ('j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]', [7500.0, 0.05, 82.0, 5], [-3.9523, -12.8241, False]), ('j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]', [12000.0, 0.3, 120.0, 7], [4.6102, 1.1525, False])], [('j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]', [7078.0, 0.001, 51.6, 1], [-4.2991, 3.2153, False]), ('j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]', [7000.0, 0.2, 28.5, 3], [-20.5825, 33.5103, False]), ('j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]', [6878.0, 0.0, 97.4, 2], [1.971, -7.0169, True]), ('j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]', [7500.0, 0.05, 82.0, 5], [-3.9523, -12.8241, False]), ('j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]', [12000.0, 0.3, 120.0, 7], [4.6102, 1.1525, False]), ('j2 secular node and perigee drift [42164.0, 0.0, 0.1, 30]', [42164.0, 0.0, 0.1, 30], [-0.4024, 0.8049, False]), ('j2 secular node and perigee drift [7078.0, 0.001, 81.81, 1]', [7078.0, 0.001, 81.81, 1], [-0.986, -3.1094, False])], [('j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]', [26560.0, 0.74, 63.4, 10], [-1.4793, 0.004, False]), ('j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]', [12000.0, 0.3, 120.0, 7], [4.6102, 1.1525, False]), ('j2 secular node and perigee drift [42164.0, 0.0, 0.1, 30]', [42164.0, 0.0, 0.1, 30], [-0.4024, 0.8049, False]), ('j2 secular node and perigee drift [7078.0, 0.001, 81.81, 1]', [7078.0, 0.001, 81.81, 1], [-0.986, -3.1094, False]), ('j2 secular node and perigee drift [8000.0, 0.1, 45.0, 0.5]', [8000.0, 0.1, 45.0, 0.5], [-1.6264, 1.7251, False]), ('j2 secular node and perigee drift [7078.0, 0.001, 98.19, 1]', [7078.0, 0.001, 98.19, 1], [0.986, -3.1094, True]), ('j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]', [7078.0, 0.001, 51.6, 1], [-4.2991, 3.2153, False])], [('j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]', [7000.0, 0.2, 28.5, 3], [-20.5825, 33.5103, False]), ('j2 secular node and perigee drift [8000.0, 0.1, 45.0, 0.5]', [8000.0, 0.1, 45.0, 0.5], [-1.6264, 1.7251, False]), ('j2 secular node and perigee drift [7078.0, 0.001, 98.19, 1]', [7078.0, 0.001, 98.19, 1], [0.986, -3.1094, True]), ('j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]', [7078.0, 0.001, 51.6, 1], [-4.2991, 3.2153, False]), ('j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]', [26560.0, 0.74, 63.4, 10], [-1.4793, 0.004, False]), ('j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]', [6878.0, 0.0, 97.4, 2], [1.971, -7.0169, True]), ('j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]', [7500.0, 0.05, 82.0, 5], [-3.9523, -12.8241, False])], [('j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]', [6878.0, 0.0, 97.4, 2], [1.971, -7.0169, True]), ('j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]', [26560.0, 0.74, 63.4, 10], [-1.4793, 0.004, False]), ('j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]', [7000.0, 0.2, 28.5, 3], [-20.5825, 33.5103, False]), ('j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]', [7500.0, 0.05, 82.0, 5], [-3.9523, -12.8241, False]), ('j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]', [12000.0, 0.3, 120.0, 7], [4.6102, 1.1525, False]), ('j2 secular node and perigee drift [42164.0, 0.0, 0.1, 30]', [42164.0, 0.0, 0.1, 30], [-0.4024, 0.8049, False]), ('j2 secular node and perigee drift [7078.0, 0.001, 81.81, 1]', [7078.0, 0.001, 81.81, 1], [-0.986, -3.1094, False])]]\nfor label, args, expected in fixtures[N-1]:\n    check(label, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"d9e45fb2e78f56efe6a6d5ae38d4e37040dfdebfa57515fe8f7dbd1d8c90b7e7","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(x):\n    a,e,i,days=x\n    mu,Re,J2=398600.4418,6378.137,1.08263e-3\n    n=math.sqrt(mu/a**3)\n    p=a*(1-e*e)\n    ci=math.cos(math.radians(i))\n    fac=n*J2*(Re/p)**2\n    dO=-1.5*fac*ci\n    dw=0.75*fac*(5*ci*ci-1)\n    t=days*3600\n    sso=abs(math.degrees(dO)*86400-0.9856)<0.01\n    return [round(math.degrees(dO*t),4),round(math.degrees(dw*t),4),sso]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('j2 secular node and perigee drift [7078.0, 0.001, 98.19, 1]', [7078.0, 0.001, 98.19, 1], [0.986, -3.1094, True]), ('j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]', [7078.0, 0.001, 51.6, 1], [-4.2991, 3.2153, False]), ('j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]', [26560.0, 0.74, 63.4, 10], [-1.4793, 0.004, False]), ('j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]', [7000.0, 0.2, 28.5, 3], [-20.5825, 33.5103, False]), ('j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]', [6878.0, 0.0, 97.4, 2], [1.971, -7.0169, True]), ('j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]', [7500.0, 0.05, 82.0, 5], [-3.9523, -12.8241, False]), ('j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]', [12000.0, 0.3, 120.0, 7], [4.6102, 1.1525, False])], [('j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]', [7078.0, 0.001, 51.6, 1], [-4.2991, 3.2153, False]), ('j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]', [7000.0, 0.2, 28.5, 3], [-20.5825, 33.5103, False]), ('j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]', [6878.0, 0.0, 97.4, 2], [1.971, -7.0169, True]), ('j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]', [7500.0, 0.05, 82.0, 5], [-3.9523, -12.8241, False]), ('j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]', [12000.0, 0.3, 120.0, 7], [4.6102, 1.1525, False]), ('j2 secular node and perigee drift [42164.0, 0.0, 0.1, 30]', [42164.0, 0.0, 0.1, 30], [-0.4024, 0.8049, False]), ('j2 secular node and perigee drift [7078.0, 0.001, 81.81, 1]', [7078.0, 0.001, 81.81, 1], [-0.986, -3.1094, False])], [('j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]', [26560.0, 0.74, 63.4, 10], [-1.4793, 0.004, False]), ('j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]', [12000.0, 0.3, 120.0, 7], [4.6102, 1.1525, False]), ('j2 secular node and perigee drift [42164.0, 0.0, 0.1, 30]', [42164.0, 0.0, 0.1, 30], [-0.4024, 0.8049, False]), ('j2 secular node and perigee drift [7078.0, 0.001, 81.81, 1]', [7078.0, 0.001, 81.81, 1], [-0.986, -3.1094, False]), ('j2 secular node and perigee drift [8000.0, 0.1, 45.0, 0.5]', [8000.0, 0.1, 45.0, 0.5], [-1.6264, 1.7251, False]), ('j2 secular node and perigee drift [7078.0, 0.001, 98.19, 1]', [7078.0, 0.001, 98.19, 1], [0.986, -3.1094, True]), ('j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]', [7078.0, 0.001, 51.6, 1], [-4.2991, 3.2153, False])], [('j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]', [7000.0, 0.2, 28.5, 3], [-20.5825, 33.5103, False]), ('j2 secular node and perigee drift [8000.0, 0.1, 45.0, 0.5]', [8000.0, 0.1, 45.0, 0.5], [-1.6264, 1.7251, False]), ('j2 secular node and perigee drift [7078.0, 0.001, 98.19, 1]', [7078.0, 0.001, 98.19, 1], [0.986, -3.1094, True]), ('j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]', [7078.0, 0.001, 51.6, 1], [-4.2991, 3.2153, False]), ('j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]', [26560.0, 0.74, 63.4, 10], [-1.4793, 0.004, False]), ('j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]', [6878.0, 0.0, 97.4, 2], [1.971, -7.0169, True]), ('j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]', [7500.0, 0.05, 82.0, 5], [-3.9523, -12.8241, False])], [('j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]', [6878.0, 0.0, 97.4, 2], [1.971, -7.0169, True]), ('j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]', [26560.0, 0.74, 63.4, 10], [-1.4793, 0.004, False]), ('j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]', [7000.0, 0.2, 28.5, 3], [-20.5825, 33.5103, False]), ('j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]', [7500.0, 0.05, 82.0, 5], [-3.9523, -12.8241, False]), ('j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]', [12000.0, 0.3, 120.0, 7], [4.6102, 1.1525, False]), ('j2 secular node and perigee drift [42164.0, 0.0, 0.1, 30]', [42164.0, 0.0, 0.1, 30], [-0.4024, 0.8049, False]), ('j2 secular node and perigee drift [7078.0, 0.001, 81.81, 1]', [7078.0, 0.001, 81.81, 1], [-0.986, -3.1094, False])]]\nfor label, args, expected in fixtures[N-1]:\n    check(label, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"A deterministic toy two-body model with stipulated constants and conventions; not flight dynamics software or a validated SGP4 implementation. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w2-orbital_propagation-j2_secular-interval-length","generated_at":"2026-09-29T14:48:12.758512+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Orbit determination and mission planning chain many small conversions; one wrong branch or unit silently moves a spacecraft by kilometres.","root_cause":"The interval uses days*3600.","sha256":"136d9f382803826c7c48188947132987c63c505e933eb6a67b4217c79b589f2e","title":"J2 secular node and perigee drift: Days are converted to seconds with an hourly factor · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":41.192,"exit_code":1,"observations":[{"actual":[0.0164,-0.0518,true],"check":"j2 secular node and perigee drift [7078.0, 0.001, 98.19, 1]","expected":[0.986,-3.1094,true],"passed":false},{"actual":[-0.0717,0.0536,false],"check":"j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]","expected":[-4.2991,3.2153,false],"passed":false},{"actual":[-0.0247,0.0001,false],"check":"j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]","expected":[-1.4793,0.004,false],"passed":false},{"actual":[-0.343,0.5585,false],"check":"j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]","expected":[-20.5825,33.5103,false],"passed":false},{"actual":[0.0328,-0.1169,true],"check":"j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]","expected":[1.971,-7.0169,true],"passed":false},{"actual":[-0.0659,-0.2137,false],"check":"j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]","expected":[-3.9523,-12.8241,false],"passed":false},{"actual":[0.0768,0.0192,false],"check":"j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]","expected":[4.6102,1.1525,false],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"j2 secular node and perigee drift [7078.0, 0.001, 98.19, 1]\", \"actual\": [0.0164, -0.0518, true], \"expected\": [0.986, -3.1094, true], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]\", \"actual\": [-0.0717, 0.0536, false], \"expected\": [-4.2991, 3.2153, false], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]\", \"actual\": [-0.0247, 0.0001, false], \"expected\": [-1.4793, 0.004, false], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]\", \"actual\": [-0.343, 0.5585, false], \"expected\": [-20.5825, 33.5103, false], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]\", \"actual\": [0.0328, -0.1169, true], \"expected\": [1.971, -7.0169, true], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]\", \"actual\": [-0.0659, -0.2137, false], \"expected\": [-3.9523, -12.8241, false], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]\", \"actual\": [0.0768, 0.0192, false], \"expected\": [4.6102, 1.1525, false], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":43.845,"exit_code":1,"observations":[{"actual":[0.0411,-0.1296,true],"check":"j2 secular node and perigee drift [7078.0, 0.001, 98.19, 1]","expected":[0.986,-3.1094,true],"passed":false},{"actual":[-0.1791,0.134,false],"check":"j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]","expected":[-4.2991,3.2153,false],"passed":false},{"actual":[-0.0616,0.0002,false],"check":"j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]","expected":[-1.4793,0.004,false],"passed":false},{"actual":[-0.8576,1.3963,false],"check":"j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]","expected":[-20.5825,33.5103,false],"passed":false},{"actual":[0.0821,-0.2924,true],"check":"j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]","expected":[1.971,-7.0169,true],"passed":false},{"actual":[-0.1647,-0.5343,false],"check":"j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]","expected":[-3.9523,-12.8241,false],"passed":false},{"actual":[0.1921,0.048,false],"check":"j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]","expected":[4.6102,1.1525,false],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"j2 secular node and perigee drift [7078.0, 0.001, 98.19, 1]\", \"actual\": [0.0411, -0.1296, true], \"expected\": [0.986, -3.1094, true], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [7078.0, 0.001, 51.6, 1]\", \"actual\": [-0.1791, 0.134, false], \"expected\": [-4.2991, 3.2153, false], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [26560.0, 0.74, 63.4, 10]\", \"actual\": [-0.0616, 0.0002, false], \"expected\": [-1.4793, 0.004, false], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [7000.0, 0.2, 28.5, 3]\", \"actual\": [-0.8576, 1.3963, false], \"expected\": [-20.5825, 33.5103, false], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2]\", \"actual\": [0.0821, -0.2924, true], \"expected\": [1.971, -7.0169, true], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [7500.0, 0.05, 82.0, 5]\", \"actual\": [-0.1647, -0.5343, false], \"expected\": [-3.9523, -12.8241, false], \"passed\": false}, {\"check\": \"j2 secular node and perigee drift [12000.0, 0.3, 120.0, 7]\", \"actual\": [0.1921, 0.048, false], \"expected\": [4.6102, 1.1525, false], \"passed\": false}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}