{"abstract":"The delta-v budget omits the burn that recircularizes.","category":"Orbital propagation","checks":7,"contract":"Input [r, theta, k, mu, rmin]: circular radius, target lead angle in degrees (positive = target ahead), k phasing revolutions. Phasing period Tph=T-theta_rad/(k n). a_ph from Tph; total dv = 2|v_ph(r)-v_circ| with vis-viva at r. Return None if the phasing perigee 2a_ph-r is below rmin, else [a_ph rounded 3, dv rounded 6, k*Tph rounded 3].","evaluation_group":"w2-orbital_propagation-phasing","failed_approach":"A signed difference makes faster phasing orbits report negative delta-v.","family":"w2-orbital_propagation-phasing-two-burns","id":"FA-69806","implementations":{"attempt":{"sha256":"d00efdf50f9b9bf6df22853dbec928e0c17019328b0c50fdc135c150f66fd8a7","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(x):\n    r,theta,k,mu,rmin=x\n    n=math.sqrt(mu/r**3)\n    T=2*math.pi/n\n    Tph=T-math.radians(theta)/(k*n)\n    aph=(mu*(Tph/(2*math.pi))**2)**(1/3)\n    if 2*aph-r<rmin: return None\n    vc=math.sqrt(mu/r)\n    vph=math.sqrt(mu*(2/r-1/aph))\n    dv=2*(vph-vc)\n    return [round(aph,3),round(dv,6),round(k*Tph,3)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]', [6778.0, 20.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None)], [('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [1.0, 60.0, 2, 1.0, 0.5]', [1.0, 60.0, 2, 1.0, 0.5], [0.944, 0.060642, 11.519]), ('co-orbital phasing manoeuvre [1.0, -60.0, 2, 1.0, 0.5]', [1.0, -60.0, 2, 1.0, 0.5], [1.055, 0.051305, 13.614])], [('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [1.0, 60.0, 2, 1.0, 0.5]', [1.0, 60.0, 2, 1.0, 0.5], [0.944, 0.060642, 11.519]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [1.0, -60.0, 2, 1.0, 0.5]', [1.0, -60.0, 2, 1.0, 0.5], [1.055, 0.051305, 13.614]), ('co-orbital phasing manoeuvre [1.0, 170.0, 1, 1.0, 0.1]', [1.0, 170.0, 1, 1.0, 0.1], [0.653, 0.630624, 3.316]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]', [6778.0, 20.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842])], [('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [1.0, 170.0, 1, 1.0, 0.1]', [1.0, 170.0, 1, 1.0, 0.1], [0.653, 0.630624, 3.316]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]', [6778.0, 20.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842]), ('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None)], [('co-orbital phasing manoeuvre [1.0, 60.0, 2, 1.0, 0.5]', [1.0, 60.0, 2, 1.0, 0.5], [0.944, 0.060642, 11.519]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842]), ('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None)]]\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":"d5f098da9b57aa06828c88c6c710ed82b5ec368093b9f9d8a2a5b70e3210e52f","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(x):\n    r,theta,k,mu,rmin=x\n    n=math.sqrt(mu/r**3)\n    T=2*math.pi/n\n    Tph=T-math.radians(theta)/(k*n)\n    aph=(mu*(Tph/(2*math.pi))**2)**(1/3)\n    if 2*aph-r<rmin: return None\n    vc=math.sqrt(mu/r)\n    vph=math.sqrt(mu*(2/r-1/aph))\n    dv=abs(vph-vc)\n    return [round(aph,3),round(dv,6),round(k*Tph,3)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]', [6778.0, 20.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None)], [('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [1.0, 60.0, 2, 1.0, 0.5]', [1.0, 60.0, 2, 1.0, 0.5], [0.944, 0.060642, 11.519]), ('co-orbital phasing manoeuvre [1.0, -60.0, 2, 1.0, 0.5]', [1.0, -60.0, 2, 1.0, 0.5], [1.055, 0.051305, 13.614])], [('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [1.0, 60.0, 2, 1.0, 0.5]', [1.0, 60.0, 2, 1.0, 0.5], [0.944, 0.060642, 11.519]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [1.0, -60.0, 2, 1.0, 0.5]', [1.0, -60.0, 2, 1.0, 0.5], [1.055, 0.051305, 13.614]), ('co-orbital phasing manoeuvre [1.0, 170.0, 1, 1.0, 0.1]', [1.0, 170.0, 1, 1.0, 0.1], [0.653, 0.630624, 3.316]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]', [6778.0, 20.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842])], [('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [1.0, 170.0, 1, 1.0, 0.1]', [1.0, 170.0, 1, 1.0, 0.1], [0.653, 0.630624, 3.316]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]', [6778.0, 20.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842]), ('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None)], [('co-orbital phasing manoeuvre [1.0, 60.0, 2, 1.0, 0.5]', [1.0, 60.0, 2, 1.0, 0.5], [0.944, 0.060642, 11.519]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842]), ('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None)]]\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"},"fixed":{"sha256":"7a1fcb661345cee2d470991a6f6f6fe4b9d229bcad9ef79d48f70fe6e91c0037","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(x):\n    r,theta,k,mu,rmin=x\n    n=math.sqrt(mu/r**3)\n    T=2*math.pi/n\n    Tph=T-math.radians(theta)/(k*n)\n    aph=(mu*(Tph/(2*math.pi))**2)**(1/3)\n    if 2*aph-r<rmin: return None\n    vc=math.sqrt(mu/r)\n    vph=math.sqrt(mu*(2/r-1/aph))\n    dv=2*abs(vph-vc)\n    return [round(aph,3),round(dv,6),round(k*Tph,3)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]', [6778.0, 20.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None)], [('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [1.0, 60.0, 2, 1.0, 0.5]', [1.0, 60.0, 2, 1.0, 0.5], [0.944, 0.060642, 11.519]), ('co-orbital phasing manoeuvre [1.0, -60.0, 2, 1.0, 0.5]', [1.0, -60.0, 2, 1.0, 0.5], [1.055, 0.051305, 13.614])], [('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [1.0, 60.0, 2, 1.0, 0.5]', [1.0, 60.0, 2, 1.0, 0.5], [0.944, 0.060642, 11.519]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [1.0, -60.0, 2, 1.0, 0.5]', [1.0, -60.0, 2, 1.0, 0.5], [1.055, 0.051305, 13.614]), ('co-orbital phasing manoeuvre [1.0, 170.0, 1, 1.0, 0.1]', [1.0, 170.0, 1, 1.0, 0.1], [0.653, 0.630624, 3.316]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]', [6778.0, 20.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842])], [('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [1.0, 170.0, 1, 1.0, 0.1]', [1.0, 170.0, 1, 1.0, 0.1], [0.653, 0.630624, 3.316]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]', [6778.0, 20.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842]), ('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None)], [('co-orbital phasing manoeuvre [1.0, 60.0, 2, 1.0, 0.5]', [1.0, 60.0, 2, 1.0, 0.5], [0.944, 0.060642, 11.519]), ('co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]', [6778.0, 20.0, 3, 398600.4418, 6478.0], [6694.061, 0.096463, 16351.842]), ('co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]', [6778.0, -30.0, 2, 398600.4418, 6478.0], [6964.994, 0.204521, 11569.7]), ('co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]', [42164.0, 10.0, 1, 398600.4418, 6478.0], [41379.525, 0.058569, 83770.138]), ('co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]', [42164.0, -45.0, 4, 398600.4418, 6478.0], [43037.904, 0.062119, 355424.729]), ('co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]', [6778.0, 90.0, 1, 398600.4418, 6478.0], None), ('co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]', [6778.0, 90.0, 5, 398600.4418, 6478.0], None)]]\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-phasing-two-burns","generated_at":"2026-09-29T14:48:14.760124+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.","repair":"Budget two equal burns.","root_cause":"dv counts one burn instead of entry plus exit.","sha256":"da7ee8dfea7ec956a34cfdffdcda123d97947bcde73535257979cd03bcdaf274","title":"Co-orbital phasing manoeuvre: Only the entry burn is budgeted · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":37.3,"exit_code":1,"observations":[{"actual":[6694.061,-0.096463,16351.842],"check":"co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]","expected":[6694.061,0.096463,16351.842],"passed":false},{"actual":null,"check":"co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]","expected":null,"passed":true},{"actual":[6964.994,0.204521,11569.7],"check":"co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]","expected":[6964.994,0.204521,11569.7],"passed":true},{"actual":[41379.525,-0.058569,83770.138],"check":"co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]","expected":[41379.525,0.058569,83770.138],"passed":false},{"actual":[43037.904,0.062119,355424.729],"check":"co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]","expected":[43037.904,0.062119,355424.729],"passed":true},{"actual":null,"check":"co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]","expected":null,"passed":true},{"actual":null,"check":"co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]","expected":null,"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]\", \"actual\": [6694.061, -0.096463, 16351.842], \"expected\": [6694.061, 0.096463, 16351.842], \"passed\": false}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]\", \"actual\": [6964.994, 0.204521, 11569.7], \"expected\": [6964.994, 0.204521, 11569.7], \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]\", \"actual\": [41379.525, -0.058569, 83770.138], \"expected\": [41379.525, 0.058569, 83770.138], \"passed\": false}, {\"check\": \"co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]\", \"actual\": [43037.904, 0.062119, 355424.729], \"expected\": [43037.904, 0.062119, 355424.729], \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]\", \"actual\": null, \"expected\": null, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.932,"exit_code":1,"observations":[{"actual":[6694.061,0.048232,16351.842],"check":"co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]","expected":[6694.061,0.096463,16351.842],"passed":false},{"actual":null,"check":"co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]","expected":null,"passed":true},{"actual":[6964.994,0.102261,11569.7],"check":"co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]","expected":[6964.994,0.204521,11569.7],"passed":false},{"actual":[41379.525,0.029284,83770.138],"check":"co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]","expected":[41379.525,0.058569,83770.138],"passed":false},{"actual":[43037.904,0.031059,355424.729],"check":"co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]","expected":[43037.904,0.062119,355424.729],"passed":false},{"actual":null,"check":"co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]","expected":null,"passed":true},{"actual":null,"check":"co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]","expected":null,"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]\", \"actual\": [6694.061, 0.048232, 16351.842], \"expected\": [6694.061, 0.096463, 16351.842], \"passed\": false}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]\", \"actual\": [6964.994, 0.102261, 11569.7], \"expected\": [6964.994, 0.204521, 11569.7], \"passed\": false}, {\"check\": \"co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]\", \"actual\": [41379.525, 0.029284, 83770.138], \"expected\": [41379.525, 0.058569, 83770.138], \"passed\": false}, {\"check\": \"co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]\", \"actual\": [43037.904, 0.031059, 355424.729], \"expected\": [43037.904, 0.062119, 355424.729], \"passed\": false}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]\", \"actual\": null, \"expected\": null, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":39.656,"exit_code":0,"observations":[{"actual":[6694.061,0.096463,16351.842],"check":"co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]","expected":[6694.061,0.096463,16351.842],"passed":true},{"actual":null,"check":"co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]","expected":null,"passed":true},{"actual":[6964.994,0.204521,11569.7],"check":"co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]","expected":[6964.994,0.204521,11569.7],"passed":true},{"actual":[41379.525,0.058569,83770.138],"check":"co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]","expected":[41379.525,0.058569,83770.138],"passed":true},{"actual":[43037.904,0.062119,355424.729],"check":"co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]","expected":[43037.904,0.062119,355424.729],"passed":true},{"actual":null,"check":"co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]","expected":null,"passed":true},{"actual":null,"check":"co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]","expected":null,"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"co-orbital phasing manoeuvre [6778.0, 20.0, 3, 398600.4418, 6478.0]\", \"actual\": [6694.061, 0.096463, 16351.842], \"expected\": [6694.061, 0.096463, 16351.842], \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, 20.0, 1, 398600.4418, 6478.0]\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, -30.0, 2, 398600.4418, 6478.0]\", \"actual\": [6964.994, 0.204521, 11569.7], \"expected\": [6964.994, 0.204521, 11569.7], \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [42164.0, 10.0, 1, 398600.4418, 6478.0]\", \"actual\": [41379.525, 0.058569, 83770.138], \"expected\": [41379.525, 0.058569, 83770.138], \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [42164.0, -45.0, 4, 398600.4418, 6478.0]\", \"actual\": [43037.904, 0.062119, 355424.729], \"expected\": [43037.904, 0.062119, 355424.729], \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, 90.0, 1, 398600.4418, 6478.0]\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"co-orbital phasing manoeuvre [6778.0, 90.0, 5, 398600.4418, 6478.0]\", \"actual\": null, \"expected\": null, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}