{"abstract":"The adapter reports an incorrect tangential displacement while other fields remain valid.","category":"Astronomical coordinate conventions","checks":6,"contract":"A finite one-axis astrometric model has initial distance r>0, radial speed v, tangential speed u, elapsed t, and tangent origin x. New distance R=r+v*t remains positive for all fixtures. Direction tangent is x+u*t/R, and apparent angular rate is u*r/R**2; this is a rectilinear perspective model. Output fields are defined by: radial_distance = d['r']+d['v']*d['t']; tangential_displacement = d['u']*d['t']; direction_tangent = d['x']+d['u']*d['t']/(d['r']+d['v']*d['t']); angular_rate = d['u']*d['r']/(d['r']+d['v']*d['t'])**2; radial_fraction = d['v']*d['t']/d['r']; initial_angular_acceleration = -2*d['u']*d['v']/d['r']**2","evaluation_group":"astro-astrometric-perspective-transport","failed_approach":"A partial convention repair still uses d['u']","family":"s3-astronomical-coordinate-conventions-astrometric-perspective-transport-tangential_displacement","id":"FA-55866","implementations":{"attempt":{"sha256":"1585f66c21bed3c6ceccea3a0ceb233fe809ef03f8946e6b74ef7a9c97f09b66","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'radial_distance': d['r']+d['v']*d['t'], 'tangential_displacement': d['u'], 'direction_tangent': d['x']+d['u']*d['t']/(d['r']+d['v']*d['t']), 'angular_rate': d['u']*d['r']/(d['r']+d['v']*d['t'])**2, 'radial_fraction': d['v']*d['t']/d['r'], 'initial_angular_acceleration': -2*d['u']*d['v']/d['r']**2}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'r': 20, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 24, 'tangential_displacement': 6, 'direction_tangent': 5.25, 'angular_rate': 0.10416666666666667, 'radial_fraction': 0.2, 'initial_angular_acceleration': -0.03}), ({'r': 20, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': 6, 'direction_tangent': 5.3, 'angular_rate': 0.15, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 20, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.15, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.03}), ({'r': 20, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 18, 'tangential_displacement': -3, 'direction_tangent': 4.833333333333333, 'angular_rate': 0.18518518518518517, 'radial_fraction': -0.1, 'initial_angular_acceleration': -0.03}), ({'r': 20, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 18, 'tangential_displacement': 6, 'direction_tangent': 5.333333333333333, 'angular_rate': 0.18518518518518517, 'radial_fraction': -0.1, 'initial_angular_acceleration': 0.015}), ({'r': 20, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 24, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.2, 'initial_angular_acceleration': 0.0})], 2: [({'r': 21, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 25, 'tangential_displacement': 6, 'direction_tangent': 5.24, 'angular_rate': 0.1008, 'radial_fraction': 0.19047619047619047, 'initial_angular_acceleration': -0.027210884353741496}), ({'r': 21, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': 6, 'direction_tangent': 5.285714285714286, 'angular_rate': 0.14285714285714285, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 21, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.14285714285714285, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.027210884353741496}), ({'r': 21, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 19, 'tangential_displacement': -3, 'direction_tangent': 4.842105263157895, 'angular_rate': 0.1745152354570637, 'radial_fraction': -0.09523809523809523, 'initial_angular_acceleration': -0.027210884353741496}), ({'r': 21, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 19, 'tangential_displacement': 6, 'direction_tangent': 5.315789473684211, 'angular_rate': 0.1745152354570637, 'radial_fraction': -0.09523809523809523, 'initial_angular_acceleration': 0.013605442176870748}), ({'r': 21, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 25, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.19047619047619047, 'initial_angular_acceleration': 0.0})], 3: [({'r': 22, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 26, 'tangential_displacement': 6, 'direction_tangent': 5.230769230769231, 'angular_rate': 0.09763313609467456, 'radial_fraction': 0.18181818181818182, 'initial_angular_acceleration': -0.024793388429752067}), ({'r': 22, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': 6, 'direction_tangent': 5.2727272727272725, 'angular_rate': 0.13636363636363635, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 22, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.13636363636363635, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.024793388429752067}), ({'r': 22, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': -3, 'direction_tangent': 4.85, 'angular_rate': 0.165, 'radial_fraction': -0.09090909090909091, 'initial_angular_acceleration': -0.024793388429752067}), ({'r': 22, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': 6, 'direction_tangent': 5.3, 'angular_rate': 0.165, 'radial_fraction': -0.09090909090909091, 'initial_angular_acceleration': 0.012396694214876033}), ({'r': 22, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 26, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.18181818181818182, 'initial_angular_acceleration': 0.0})], 4: [({'r': 23, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 27, 'tangential_displacement': 6, 'direction_tangent': 5.222222222222222, 'angular_rate': 0.09465020576131687, 'radial_fraction': 0.17391304347826086, 'initial_angular_acceleration': -0.022684310018903593}), ({'r': 23, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 23, 'tangential_displacement': 6, 'direction_tangent': 5.260869565217392, 'angular_rate': 0.13043478260869565, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 23, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 23, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.13043478260869565, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.022684310018903593}), ({'r': 23, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': -3, 'direction_tangent': 4.857142857142857, 'angular_rate': 0.1564625850340136, 'radial_fraction': -0.08695652173913043, 'initial_angular_acceleration': -0.022684310018903593}), ({'r': 23, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': 6, 'direction_tangent': 5.285714285714286, 'angular_rate': 0.1564625850340136, 'radial_fraction': -0.08695652173913043, 'initial_angular_acceleration': 0.011342155009451797}), ({'r': 23, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 27, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.17391304347826086, 'initial_angular_acceleration': 0.0})], 5: [({'r': 24, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 28, 'tangential_displacement': 6, 'direction_tangent': 5.214285714285714, 'angular_rate': 0.09183673469387756, 'radial_fraction': 0.16666666666666666, 'initial_angular_acceleration': -0.020833333333333332}), ({'r': 24, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 24, 'tangential_displacement': 6, 'direction_tangent': 5.25, 'angular_rate': 0.125, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 24, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 24, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.125, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.020833333333333332}), ({'r': 24, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': -3, 'direction_tangent': 4.863636363636363, 'angular_rate': 0.1487603305785124, 'radial_fraction': -0.08333333333333333, 'initial_angular_acceleration': -0.020833333333333332}), ({'r': 24, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': 6, 'direction_tangent': 5.2727272727272725, 'angular_rate': 0.1487603305785124, 'radial_fraction': -0.08333333333333333, 'initial_angular_acceleration': 0.010416666666666666}), ({'r': 24, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 28, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.16666666666666666, 'initial_angular_acceleration': 0.0})]}\nfor i, (record, expected) in enumerate(fixtures[N]):\n    check('astronomical fixture %s' % i, solve(record), 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":"e3c2af1a17667fdd4571c300a8810f085dc9fadc1ed2252814283d70f1a883ff","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'radial_distance': d['r']+d['v']*d['t'], 'tangential_displacement': d['u']*d['t']/d['r'], 'direction_tangent': d['x']+d['u']*d['t']/(d['r']+d['v']*d['t']), 'angular_rate': d['u']*d['r']/(d['r']+d['v']*d['t'])**2, 'radial_fraction': d['v']*d['t']/d['r'], 'initial_angular_acceleration': -2*d['u']*d['v']/d['r']**2}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'r': 20, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 24, 'tangential_displacement': 6, 'direction_tangent': 5.25, 'angular_rate': 0.10416666666666667, 'radial_fraction': 0.2, 'initial_angular_acceleration': -0.03}), ({'r': 20, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': 6, 'direction_tangent': 5.3, 'angular_rate': 0.15, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 20, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.15, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.03}), ({'r': 20, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 18, 'tangential_displacement': -3, 'direction_tangent': 4.833333333333333, 'angular_rate': 0.18518518518518517, 'radial_fraction': -0.1, 'initial_angular_acceleration': -0.03}), ({'r': 20, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 18, 'tangential_displacement': 6, 'direction_tangent': 5.333333333333333, 'angular_rate': 0.18518518518518517, 'radial_fraction': -0.1, 'initial_angular_acceleration': 0.015}), ({'r': 20, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 24, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.2, 'initial_angular_acceleration': 0.0})], 2: [({'r': 21, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 25, 'tangential_displacement': 6, 'direction_tangent': 5.24, 'angular_rate': 0.1008, 'radial_fraction': 0.19047619047619047, 'initial_angular_acceleration': -0.027210884353741496}), ({'r': 21, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': 6, 'direction_tangent': 5.285714285714286, 'angular_rate': 0.14285714285714285, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 21, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.14285714285714285, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.027210884353741496}), ({'r': 21, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 19, 'tangential_displacement': -3, 'direction_tangent': 4.842105263157895, 'angular_rate': 0.1745152354570637, 'radial_fraction': -0.09523809523809523, 'initial_angular_acceleration': -0.027210884353741496}), ({'r': 21, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 19, 'tangential_displacement': 6, 'direction_tangent': 5.315789473684211, 'angular_rate': 0.1745152354570637, 'radial_fraction': -0.09523809523809523, 'initial_angular_acceleration': 0.013605442176870748}), ({'r': 21, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 25, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.19047619047619047, 'initial_angular_acceleration': 0.0})], 3: [({'r': 22, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 26, 'tangential_displacement': 6, 'direction_tangent': 5.230769230769231, 'angular_rate': 0.09763313609467456, 'radial_fraction': 0.18181818181818182, 'initial_angular_acceleration': -0.024793388429752067}), ({'r': 22, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': 6, 'direction_tangent': 5.2727272727272725, 'angular_rate': 0.13636363636363635, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 22, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.13636363636363635, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.024793388429752067}), ({'r': 22, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': -3, 'direction_tangent': 4.85, 'angular_rate': 0.165, 'radial_fraction': -0.09090909090909091, 'initial_angular_acceleration': -0.024793388429752067}), ({'r': 22, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': 6, 'direction_tangent': 5.3, 'angular_rate': 0.165, 'radial_fraction': -0.09090909090909091, 'initial_angular_acceleration': 0.012396694214876033}), ({'r': 22, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 26, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.18181818181818182, 'initial_angular_acceleration': 0.0})], 4: [({'r': 23, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 27, 'tangential_displacement': 6, 'direction_tangent': 5.222222222222222, 'angular_rate': 0.09465020576131687, 'radial_fraction': 0.17391304347826086, 'initial_angular_acceleration': -0.022684310018903593}), ({'r': 23, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 23, 'tangential_displacement': 6, 'direction_tangent': 5.260869565217392, 'angular_rate': 0.13043478260869565, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 23, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 23, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.13043478260869565, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.022684310018903593}), ({'r': 23, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': -3, 'direction_tangent': 4.857142857142857, 'angular_rate': 0.1564625850340136, 'radial_fraction': -0.08695652173913043, 'initial_angular_acceleration': -0.022684310018903593}), ({'r': 23, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': 6, 'direction_tangent': 5.285714285714286, 'angular_rate': 0.1564625850340136, 'radial_fraction': -0.08695652173913043, 'initial_angular_acceleration': 0.011342155009451797}), ({'r': 23, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 27, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.17391304347826086, 'initial_angular_acceleration': 0.0})], 5: [({'r': 24, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 28, 'tangential_displacement': 6, 'direction_tangent': 5.214285714285714, 'angular_rate': 0.09183673469387756, 'radial_fraction': 0.16666666666666666, 'initial_angular_acceleration': -0.020833333333333332}), ({'r': 24, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 24, 'tangential_displacement': 6, 'direction_tangent': 5.25, 'angular_rate': 0.125, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 24, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 24, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.125, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.020833333333333332}), ({'r': 24, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': -3, 'direction_tangent': 4.863636363636363, 'angular_rate': 0.1487603305785124, 'radial_fraction': -0.08333333333333333, 'initial_angular_acceleration': -0.020833333333333332}), ({'r': 24, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': 6, 'direction_tangent': 5.2727272727272725, 'angular_rate': 0.1487603305785124, 'radial_fraction': -0.08333333333333333, 'initial_angular_acceleration': 0.010416666666666666}), ({'r': 24, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 28, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.16666666666666666, 'initial_angular_acceleration': 0.0})]}\nfor i, (record, expected) in enumerate(fixtures[N]):\n    check('astronomical fixture %s' % i, solve(record), 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":"c224f34264b97b3924f7e7ea6602735cee62dd84c89d8c704d0dc41186ba7493","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'radial_distance': d['r']+d['v']*d['t'], 'tangential_displacement': d['u']*d['t'], 'direction_tangent': d['x']+d['u']*d['t']/(d['r']+d['v']*d['t']), 'angular_rate': d['u']*d['r']/(d['r']+d['v']*d['t'])**2, 'radial_fraction': d['v']*d['t']/d['r'], 'initial_angular_acceleration': -2*d['u']*d['v']/d['r']**2}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'r': 20, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 24, 'tangential_displacement': 6, 'direction_tangent': 5.25, 'angular_rate': 0.10416666666666667, 'radial_fraction': 0.2, 'initial_angular_acceleration': -0.03}), ({'r': 20, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': 6, 'direction_tangent': 5.3, 'angular_rate': 0.15, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 20, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.15, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.03}), ({'r': 20, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 18, 'tangential_displacement': -3, 'direction_tangent': 4.833333333333333, 'angular_rate': 0.18518518518518517, 'radial_fraction': -0.1, 'initial_angular_acceleration': -0.03}), ({'r': 20, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 18, 'tangential_displacement': 6, 'direction_tangent': 5.333333333333333, 'angular_rate': 0.18518518518518517, 'radial_fraction': -0.1, 'initial_angular_acceleration': 0.015}), ({'r': 20, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 24, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.2, 'initial_angular_acceleration': 0.0})], 2: [({'r': 21, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 25, 'tangential_displacement': 6, 'direction_tangent': 5.24, 'angular_rate': 0.1008, 'radial_fraction': 0.19047619047619047, 'initial_angular_acceleration': -0.027210884353741496}), ({'r': 21, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': 6, 'direction_tangent': 5.285714285714286, 'angular_rate': 0.14285714285714285, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 21, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.14285714285714285, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.027210884353741496}), ({'r': 21, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 19, 'tangential_displacement': -3, 'direction_tangent': 4.842105263157895, 'angular_rate': 0.1745152354570637, 'radial_fraction': -0.09523809523809523, 'initial_angular_acceleration': -0.027210884353741496}), ({'r': 21, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 19, 'tangential_displacement': 6, 'direction_tangent': 5.315789473684211, 'angular_rate': 0.1745152354570637, 'radial_fraction': -0.09523809523809523, 'initial_angular_acceleration': 0.013605442176870748}), ({'r': 21, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 25, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.19047619047619047, 'initial_angular_acceleration': 0.0})], 3: [({'r': 22, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 26, 'tangential_displacement': 6, 'direction_tangent': 5.230769230769231, 'angular_rate': 0.09763313609467456, 'radial_fraction': 0.18181818181818182, 'initial_angular_acceleration': -0.024793388429752067}), ({'r': 22, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': 6, 'direction_tangent': 5.2727272727272725, 'angular_rate': 0.13636363636363635, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 22, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.13636363636363635, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.024793388429752067}), ({'r': 22, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': -3, 'direction_tangent': 4.85, 'angular_rate': 0.165, 'radial_fraction': -0.09090909090909091, 'initial_angular_acceleration': -0.024793388429752067}), ({'r': 22, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 20, 'tangential_displacement': 6, 'direction_tangent': 5.3, 'angular_rate': 0.165, 'radial_fraction': -0.09090909090909091, 'initial_angular_acceleration': 0.012396694214876033}), ({'r': 22, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 26, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.18181818181818182, 'initial_angular_acceleration': 0.0})], 4: [({'r': 23, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 27, 'tangential_displacement': 6, 'direction_tangent': 5.222222222222222, 'angular_rate': 0.09465020576131687, 'radial_fraction': 0.17391304347826086, 'initial_angular_acceleration': -0.022684310018903593}), ({'r': 23, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 23, 'tangential_displacement': 6, 'direction_tangent': 5.260869565217392, 'angular_rate': 0.13043478260869565, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 23, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 23, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.13043478260869565, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.022684310018903593}), ({'r': 23, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': -3, 'direction_tangent': 4.857142857142857, 'angular_rate': 0.1564625850340136, 'radial_fraction': -0.08695652173913043, 'initial_angular_acceleration': -0.022684310018903593}), ({'r': 23, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 21, 'tangential_displacement': 6, 'direction_tangent': 5.285714285714286, 'angular_rate': 0.1564625850340136, 'radial_fraction': -0.08695652173913043, 'initial_angular_acceleration': 0.011342155009451797}), ({'r': 23, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 27, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.17391304347826086, 'initial_angular_acceleration': 0.0})], 5: [({'r': 24, 'v': 2, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 28, 'tangential_displacement': 6, 'direction_tangent': 5.214285714285714, 'angular_rate': 0.09183673469387756, 'radial_fraction': 0.16666666666666666, 'initial_angular_acceleration': -0.020833333333333332}), ({'r': 24, 'v': 0, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 24, 'tangential_displacement': 6, 'direction_tangent': 5.25, 'angular_rate': 0.125, 'radial_fraction': 0.0, 'initial_angular_acceleration': 0.0}), ({'r': 24, 'v': 2, 'u': 3, 't': 0, 'x': 5}, {'radial_distance': 24, 'tangential_displacement': 0, 'direction_tangent': 5.0, 'angular_rate': 0.125, 'radial_fraction': 0.0, 'initial_angular_acceleration': -0.020833333333333332}), ({'r': 24, 'v': 2, 'u': 3, 't': -1, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': -3, 'direction_tangent': 4.863636363636363, 'angular_rate': 0.1487603305785124, 'radial_fraction': -0.08333333333333333, 'initial_angular_acceleration': -0.020833333333333332}), ({'r': 24, 'v': -1, 'u': 3, 't': 2, 'x': 5}, {'radial_distance': 22, 'tangential_displacement': 6, 'direction_tangent': 5.2727272727272725, 'angular_rate': 0.1487603305785124, 'radial_fraction': -0.08333333333333333, 'initial_angular_acceleration': 0.010416666666666666}), ({'r': 24, 'v': 2, 'u': 0, 't': 2, 'x': 0}, {'radial_distance': 28, 'tangential_displacement': 0, 'direction_tangent': 0.0, 'angular_rate': 0.0, 'radial_fraction': 0.16666666666666666, 'initial_angular_acceleration': 0.0})]}\nfor i, (record, expected) in enumerate(fixtures[N]):\n    check('astronomical fixture %s' % i, solve(record), 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":"Explicitly stipulated finite algebraic adapter; no standards conformance, physical accuracy, or production-library claim. Inputs are the documented finite valid model domain. 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":"s3-astronomical-coordinate-conventions-astrometric-perspective-transport-tangential_displacement","generated_at":"2026-09-29T14:46:01.789897+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Catalog, detector, sky-coordinate, and spectroscopy adapters must preserve the association between numeric coordinates and their declared reference conventions.","repair":"Preserve the declared model convention at this site: d['u']*d['t']","root_cause":"Physical tangential displacement is emitted in angular-rate units. Faulty expression: d['u']*d['t']/d['r']","sha256":"30ee77f09530e0adbafc411f06f345fd9cffa1e89d78c2f8643db57621cc62f5","title":"Astrometric perspective transport: Physical tangential displacement is emitted in angular-rate units · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":40.309,"exit_code":1,"observations":[{"actual":{"angular_rate":0.10416666666666667,"direction_tangent":5.25,"initial_angular_acceleration":-0.03,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":3},"check":"astronomical fixture 0","expected":{"angular_rate":0.10416666666666667,"direction_tangent":5.25,"initial_angular_acceleration":-0.03,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":6},"passed":false},{"actual":{"angular_rate":0.15,"direction_tangent":5.3,"initial_angular_acceleration":0.0,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":3},"check":"astronomical fixture 1","expected":{"angular_rate":0.15,"direction_tangent":5.3,"initial_angular_acceleration":0.0,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":6},"passed":false},{"actual":{"angular_rate":0.15,"direction_tangent":5.0,"initial_angular_acceleration":-0.03,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":3},"check":"astronomical fixture 2","expected":{"angular_rate":0.15,"direction_tangent":5.0,"initial_angular_acceleration":-0.03,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":0},"passed":false},{"actual":{"angular_rate":0.18518518518518517,"direction_tangent":4.833333333333333,"initial_angular_acceleration":-0.03,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":3},"check":"astronomical fixture 3","expected":{"angular_rate":0.18518518518518517,"direction_tangent":4.833333333333333,"initial_angular_acceleration":-0.03,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":-3},"passed":false},{"actual":{"angular_rate":0.18518518518518517,"direction_tangent":5.333333333333333,"initial_angular_acceleration":0.015,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":3},"check":"astronomical fixture 4","expected":{"angular_rate":0.18518518518518517,"direction_tangent":5.333333333333333,"initial_angular_acceleration":0.015,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":6},"passed":false},{"actual":{"angular_rate":0.0,"direction_tangent":0.0,"initial_angular_acceleration":0.0,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":0},"check":"astronomical fixture 5","expected":{"angular_rate":0.0,"direction_tangent":0.0,"initial_angular_acceleration":0.0,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":0},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"radial_distance\": 24, \"tangential_displacement\": 3, \"direction_tangent\": 5.25, \"angular_rate\": 0.10416666666666667, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": -0.03}, \"expected\": {\"radial_distance\": 24, \"tangential_displacement\": 6, \"direction_tangent\": 5.25, \"angular_rate\": 0.10416666666666667, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": -0.03}, \"passed\": false}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"radial_distance\": 20, \"tangential_displacement\": 3, \"direction_tangent\": 5.3, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": 0.0}, \"expected\": {\"radial_distance\": 20, \"tangential_displacement\": 6, \"direction_tangent\": 5.3, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": 0.0}, \"passed\": false}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"radial_distance\": 20, \"tangential_displacement\": 3, \"direction_tangent\": 5.0, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": -0.03}, \"expected\": {\"radial_distance\": 20, \"tangential_displacement\": 0, \"direction_tangent\": 5.0, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": -0.03}, \"passed\": false}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"radial_distance\": 18, \"tangential_displacement\": 3, \"direction_tangent\": 4.833333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": -0.03}, \"expected\": {\"radial_distance\": 18, \"tangential_displacement\": -3, \"direction_tangent\": 4.833333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": -0.03}, \"passed\": false}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"radial_distance\": 18, \"tangential_displacement\": 3, \"direction_tangent\": 5.333333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": 0.015}, \"expected\": {\"radial_distance\": 18, \"tangential_displacement\": 6, \"direction_tangent\": 5.333333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": 0.015}, \"passed\": false}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"radial_distance\": 24, \"tangential_displacement\": 0, \"direction_tangent\": 0.0, \"angular_rate\": 0.0, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": 0.0}, \"expected\": {\"radial_distance\": 24, \"tangential_displacement\": 0, \"direction_tangent\": 0.0, \"angular_rate\": 0.0, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": 0.0}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":39.451,"exit_code":1,"observations":[{"actual":{"angular_rate":0.10416666666666667,"direction_tangent":5.25,"initial_angular_acceleration":-0.03,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":0.3},"check":"astronomical fixture 0","expected":{"angular_rate":0.10416666666666667,"direction_tangent":5.25,"initial_angular_acceleration":-0.03,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":6},"passed":false},{"actual":{"angular_rate":0.15,"direction_tangent":5.3,"initial_angular_acceleration":0.0,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":0.3},"check":"astronomical fixture 1","expected":{"angular_rate":0.15,"direction_tangent":5.3,"initial_angular_acceleration":0.0,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":6},"passed":false},{"actual":{"angular_rate":0.15,"direction_tangent":5.0,"initial_angular_acceleration":-0.03,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":0.0},"check":"astronomical fixture 2","expected":{"angular_rate":0.15,"direction_tangent":5.0,"initial_angular_acceleration":-0.03,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":0},"passed":true},{"actual":{"angular_rate":0.18518518518518517,"direction_tangent":4.833333333333333,"initial_angular_acceleration":-0.03,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":-0.15},"check":"astronomical fixture 3","expected":{"angular_rate":0.18518518518518517,"direction_tangent":4.833333333333333,"initial_angular_acceleration":-0.03,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":-3},"passed":false},{"actual":{"angular_rate":0.18518518518518517,"direction_tangent":5.333333333333333,"initial_angular_acceleration":0.015,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":0.3},"check":"astronomical fixture 4","expected":{"angular_rate":0.18518518518518517,"direction_tangent":5.333333333333333,"initial_angular_acceleration":0.015,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":6},"passed":false},{"actual":{"angular_rate":0.0,"direction_tangent":0.0,"initial_angular_acceleration":0.0,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":0.0},"check":"astronomical fixture 5","expected":{"angular_rate":0.0,"direction_tangent":0.0,"initial_angular_acceleration":0.0,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":0},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"radial_distance\": 24, \"tangential_displacement\": 0.3, \"direction_tangent\": 5.25, \"angular_rate\": 0.10416666666666667, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": -0.03}, \"expected\": {\"radial_distance\": 24, \"tangential_displacement\": 6, \"direction_tangent\": 5.25, \"angular_rate\": 0.10416666666666667, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": -0.03}, \"passed\": false}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"radial_distance\": 20, \"tangential_displacement\": 0.3, \"direction_tangent\": 5.3, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": 0.0}, \"expected\": {\"radial_distance\": 20, \"tangential_displacement\": 6, \"direction_tangent\": 5.3, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": 0.0}, \"passed\": false}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"radial_distance\": 20, \"tangential_displacement\": 0.0, \"direction_tangent\": 5.0, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": -0.03}, \"expected\": {\"radial_distance\": 20, \"tangential_displacement\": 0, \"direction_tangent\": 5.0, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": -0.03}, \"passed\": true}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"radial_distance\": 18, \"tangential_displacement\": -0.15, \"direction_tangent\": 4.833333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": -0.03}, \"expected\": {\"radial_distance\": 18, \"tangential_displacement\": -3, \"direction_tangent\": 4.833333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": -0.03}, \"passed\": false}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"radial_distance\": 18, \"tangential_displacement\": 0.3, \"direction_tangent\": 5.333333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": 0.015}, \"expected\": {\"radial_distance\": 18, \"tangential_displacement\": 6, \"direction_tangent\": 5.333333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": 0.015}, \"passed\": false}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"radial_distance\": 24, \"tangential_displacement\": 0.0, \"direction_tangent\": 0.0, \"angular_rate\": 0.0, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": 0.0}, \"expected\": {\"radial_distance\": 24, \"tangential_displacement\": 0, \"direction_tangent\": 0.0, \"angular_rate\": 0.0, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": 0.0}, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":40.823,"exit_code":0,"observations":[{"actual":{"angular_rate":0.10416666666666667,"direction_tangent":5.25,"initial_angular_acceleration":-0.03,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":6},"check":"astronomical fixture 0","expected":{"angular_rate":0.10416666666666667,"direction_tangent":5.25,"initial_angular_acceleration":-0.03,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":6},"passed":true},{"actual":{"angular_rate":0.15,"direction_tangent":5.3,"initial_angular_acceleration":0.0,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":6},"check":"astronomical fixture 1","expected":{"angular_rate":0.15,"direction_tangent":5.3,"initial_angular_acceleration":0.0,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":6},"passed":true},{"actual":{"angular_rate":0.15,"direction_tangent":5.0,"initial_angular_acceleration":-0.03,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":0},"check":"astronomical fixture 2","expected":{"angular_rate":0.15,"direction_tangent":5.0,"initial_angular_acceleration":-0.03,"radial_distance":20,"radial_fraction":0.0,"tangential_displacement":0},"passed":true},{"actual":{"angular_rate":0.18518518518518517,"direction_tangent":4.833333333333333,"initial_angular_acceleration":-0.03,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":-3},"check":"astronomical fixture 3","expected":{"angular_rate":0.18518518518518517,"direction_tangent":4.833333333333333,"initial_angular_acceleration":-0.03,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":-3},"passed":true},{"actual":{"angular_rate":0.18518518518518517,"direction_tangent":5.333333333333333,"initial_angular_acceleration":0.015,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":6},"check":"astronomical fixture 4","expected":{"angular_rate":0.18518518518518517,"direction_tangent":5.333333333333333,"initial_angular_acceleration":0.015,"radial_distance":18,"radial_fraction":-0.1,"tangential_displacement":6},"passed":true},{"actual":{"angular_rate":0.0,"direction_tangent":0.0,"initial_angular_acceleration":0.0,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":0},"check":"astronomical fixture 5","expected":{"angular_rate":0.0,"direction_tangent":0.0,"initial_angular_acceleration":0.0,"radial_distance":24,"radial_fraction":0.2,"tangential_displacement":0},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"radial_distance\": 24, \"tangential_displacement\": 6, \"direction_tangent\": 5.25, \"angular_rate\": 0.10416666666666667, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": -0.03}, \"expected\": {\"radial_distance\": 24, \"tangential_displacement\": 6, \"direction_tangent\": 5.25, \"angular_rate\": 0.10416666666666667, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": -0.03}, \"passed\": true}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"radial_distance\": 20, \"tangential_displacement\": 6, \"direction_tangent\": 5.3, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": 0.0}, \"expected\": {\"radial_distance\": 20, \"tangential_displacement\": 6, \"direction_tangent\": 5.3, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": 0.0}, \"passed\": true}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"radial_distance\": 20, \"tangential_displacement\": 0, \"direction_tangent\": 5.0, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": -0.03}, \"expected\": {\"radial_distance\": 20, \"tangential_displacement\": 0, \"direction_tangent\": 5.0, \"angular_rate\": 0.15, \"radial_fraction\": 0.0, \"initial_angular_acceleration\": -0.03}, \"passed\": true}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"radial_distance\": 18, \"tangential_displacement\": -3, \"direction_tangent\": 4.833333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": -0.03}, \"expected\": {\"radial_distance\": 18, \"tangential_displacement\": -3, \"direction_tangent\": 4.833333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": -0.03}, \"passed\": true}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"radial_distance\": 18, \"tangential_displacement\": 6, \"direction_tangent\": 5.333333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": 0.015}, \"expected\": {\"radial_distance\": 18, \"tangential_displacement\": 6, \"direction_tangent\": 5.333333333333333, \"angular_rate\": 0.18518518518518517, \"radial_fraction\": -0.1, \"initial_angular_acceleration\": 0.015}, \"passed\": true}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"radial_distance\": 24, \"tangential_displacement\": 0, \"direction_tangent\": 0.0, \"angular_rate\": 0.0, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": 0.0}, \"expected\": {\"radial_distance\": 24, \"tangential_displacement\": 0, \"direction_tangent\": 0.0, \"angular_rate\": 0.0, \"radial_fraction\": 0.2, \"initial_angular_acceleration\": 0.0}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}