Orbital Analysis for matched events on 20210810_230203.021_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.28° Bg 37.82° Vg 57.99km/s
mass 0.07140g, abs. mag -1.5
Path Details
------------
start -1.68° 52.74° 110.55km
end   -1.90° 52.60° 93.79km

Orbit Details
-------------
Semimajor axis 5.44A.U., eccentricity 0.82, inclination 113.42°, Period 12.68Y, LA Sun 138.23°, last Perihelion 2021-07-20

Full details below
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Detailed report below graphs

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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459437.459757195786
Time: 2021-08-10 23:02:03.061828 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0002 and UK0027
 Convergence angle = 9.34455 deg
 R.A. =  42.84502  Dec = +55.63944 deg

Best intersection: Stations UK0002 and UK0027 with Qconv = 9.34 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2172202.80 +/- 193.76 m
 Y =  -3282749.19 +/- 709.23 m
 Z =   5143330.24 +/- 1953.98 m
 Vx =    22975.12 +/- 3541.62 m/s
 Vy =    22386.40 +/- 1497.86 m/s
 Vz =    49561.59 +/- 4061.55 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.335338e+04, +3.032073e+04, +8.488570e+04, -1.175235e+04, +1.939555e+04, +8.807938e+04
+3.032073e+04, +9.957335e+04, +2.750364e+05, -8.567805e+03, +9.562126e+04, +2.947858e+05
+8.488570e+04, +2.750364e+05, +7.710817e+05, -3.253912e+04, +2.469015e+05, +8.077534e+05
-1.175235e+04, -8.567805e+03, -3.253912e+04, +1.305745e+05, +2.541375e+04, -1.112333e+05
+1.939555e+04, +9.562126e+04, +2.469015e+05, +2.541375e+04, +2.053007e+05, +5.080478e+05
+8.807938e+04, +2.947858e+05, +8.077534e+05, -1.112333e+05, +5.080478e+05, +1.641878e+06

Timing offsets (from input data):
    UK0002: -0.011923 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 23:02:03.061828 UTC
  Lon     = +-1.659216 +/- 0.0079 deg
  Lat     = +52.754370 +/- 0.0139 deg
  Lat geo = +52.572000 +/- 0.0140 deg
  Ht      =  112109.10 +/- 1257.88 m

  JD dynamic   = 2459437.460558400955 
  LST apparent = 303.4926993151 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  44.25644 +/- 2.3197 deg
  Dec       = +57.08752 +/- 2.1545 deg
  Azimuth   =  42.19135 +/- 3.0921 deg
  Elevation = +37.36326 +/- 0.4859 deg
  Vavg      =  58.99390 +/- 3.2132 km/s
  Vinit     =  59.03693 +/- 3.3013 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.16152 +/- 2.3197 deg
  Dec       = +56.85833 +/- 2.1545 deg
  Azimuth   =  42.44997 +/- 3.0921 deg
  Elevation = +37.24973 +/- 0.4859 deg
  Vavg      =  59.14762 +/- 3.2132 km/s
  Vinit     =  59.19065 +/- 3.3013 km/s
Radiant (geocentric, J2000):
  R.A.   =  44.54937 +/- 2.2659 deg
  Dec    = +56.66210 +/- 2.1962 deg
  Vg     =  57.98514 +/- 3.3608 km/s
  Vinf   =  59.03693 +/- 3.3013 km/s
  Zc     =  52.77196 +/- 0.4794 deg
  Zg     =  53.28291 +/- 0.5334 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.27804 +/- 2.4982 deg
  Bg     = +37.81870 +/- 1.5745 deg
  Vh     =  39.84128 +/- 3.8308 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.26480 +/- 5.3471 deg
  Bh     = +63.17954 +/- 1.0548 deg
  Vh_x   =  -3.34844 +/- 1.1181 km/s
  Vh_y   = -17.66163 +/- 2.5534 km/s
  Vh_z   = -35.55535 +/- 3.1503 km/s
Orbit:
  La Sun = 138.230037 +/- -0.0000 deg
  a      =   5.437708 +/- 54.2728 AU
  e      =   0.824760 +/- 0.3279
  i      = 113.422567 +/- 1.1891 deg
  peri   = 150.170432 +/- 4.6047 deg
  node   = 138.228663 +/- 0.0001 deg
  Pi     = 288.399094 +/- 4.6047 deg
  q      =   0.952906 +/- 0.0104 AU
  f      =  29.825432 +/- 4.6048 deg
  M      =   1.688681 +/- nan deg
  Q      =   9.922509 +/- 108.5454 AU
  n      =   0.077729 +/- 0.2132 deg/day
  T      =  12.680151 +/- 344827512.7166 years
  Last perihelion JD = 2459415.735185 (2021-07-20 05:38:39.974434) +/- 4.8708 days
  Tj     =   0.497528 +/- 1.8198
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.154563e-02, +9.423543e-05, +2.267842e-01, -3.396925e-08, +3.363290e-03, +4.286087e-04
q   , +9.423543e-05, +1.018361e-05, +3.679580e-03, -1.713001e-09, +7.375247e-05, +2.142455e-05
Tp  , +2.267842e-01, +3.679580e-03, +5.229781e+00, -6.957803e-07, +8.172222e-02, +8.795876e-03
node, -3.396925e-08, -1.713001e-09, -6.957803e-07, +6.363780e-13, -1.302120e-08, -7.955957e-09
peri, +3.363290e-03, +7.375247e-05, +8.172222e-02, -1.302120e-08, +1.313284e-03, +1.642046e-04
i   , +4.286087e-04, +2.142455e-05, +8.795876e-03, -7.955957e-09, +1.642046e-04, +9.947205e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 48.178958
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 4.313e-06 s
  Stddev    = 2.08e-03 s

Begin point on the trajectory:
  Lon =    -1.679216 +/- 0.0060 deg
  Lat =    52.740978 +/- 0.0119 deg
  Ht  = 110547.11 +/- 1051.28 m
End point on the trajectory:
  Lon =    -1.896179 +/- 0.0050 deg
  Lat =    52.596318 +/- 0.0042 deg
  Ht  = 93787.35 +/- 210.92 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK0002,   False,     0.265820,    50.757180,   60.00,  33.536831,   0.342204,   106672.35,    93787.35,          0.010538,     38.74,     32.11,              65.13, 1.0000,    True,    True, {"ff_name": "FF_UK0002_20210810_230157_099_0261376.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,  37.316543,   0.508393,   110547.11,    94720.39,          0.034460,     96.41,     54.71,              21.41, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210810_230202_844_0242688.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK0002,       0,  0.147723, 2459437.459759059362, 177.15576,  51.46646,              328.35249,  21.20946,       328.35872,       21.20006,    177.15576,     +51.46646,     177.14051,      +51.46160,  2168713.96, -3286148.63,  5135804.17,      52.707691,       -1.729359,  106672.35,  280267.20,       0.00,             8964.93,     0.00,      0.00,           58938.09,     34.47,     41.60,          39.76,  +2.54,  +0.30
  1,     UK0002,       0,  0.188039, 2459437.459759525955, 177.45566,  51.06253,              327.95142,  20.96792,       327.95265,       20.96607,    177.45566,     +51.06253,     177.45339,      +51.06158,  2167784.31, -3287054.45,  5133798.76,      52.695232,       -1.748079,  105224.95,  279263.13,    2388.81,            11353.75,     8.68,  59252.21,           58938.09,      6.76,      8.16,           7.83,  +1.87,  -0.36
  2,     UK0002,       0,  0.228311, 2459437.459759992082, 177.71710,  50.71001,              327.60055,  20.75821,       327.59878,       20.76086,    177.71710,     +50.71001,     177.72256,      +50.71136,  2166977.81, -3287840.29,  5132058.97,      52.684417,       -1.764338,  103969.69,  278406.60,    4461.22,            13426.15,  -296.45,  51460.16,           58938.09,     -9.68,    -11.69,          11.25,  +1.56,  -0.66
  3,     UK0002,       0,  0.268675, 2459437.459760459140, 178.06891,  50.23758,              327.12802,  20.47942,       327.12502,       20.48388,    178.06891,     +50.23758,     178.07754,      +50.23984,  2165900.73, -3288889.77,  5129735.52,      52.669963,       -1.785994,  102293.98,  277280.88,    7228.88,            16193.81,    88.24,  68567.54,           58938.09,    -16.28,    -19.66,          18.99,  +1.31,  -0.90
  4,     UK0002,       0,  0.308975, 2459437.459760925733, 178.36231,  49.84506,              326.73349,  20.24969,       326.73172,       20.25232,    178.36231,     +49.84506,     178.36803,      +49.84638,  2165010.97, -3289756.73,  5127816.14,      52.658015,       -1.803911,  100910.23,  276369.53,    9515.20,            18480.14,    -4.62,  56732.70,           59212.08,     -9.59,    -11.58,          11.22,  +1.19,  -1.02
  5,     UK0002,       0,  0.349287, 2459437.459761392325, 178.67188,  49.43194,              326.31654,  20.00968,       326.31825,       20.00715,    178.67188,     +49.43194,     178.66922,      +49.43068,  2164078.75, -3290665.07,  5125805.16,      52.645488,       -1.822672,   99460.98,  275431.63,   11910.65,            20875.58,    10.93,  59422.55,           59320.42,      9.17,     11.07,          10.77,  +0.59,  -1.61
  6,     UK0002,       0,  0.389603, 2459437.459761858918, 178.96422,  49.01943,              325.90875,  19.76561,       325.91018,       19.76351,    178.96422,     +49.01943,     178.96244,      +49.01838,  2163162.07, -3291558.26,  5123827.72,      52.633161,       -1.841121,   98036.42,  274526.84,   14266.15,            23231.08,   -13.70,  58425.97,           59263.27,      7.65,      9.23,           9.01,  +0.59,  -1.60
  7,     UK0002,       0,  0.429915, 2459437.459762325510, 179.22575,  48.61172,              325.52072,  19.51597,       325.51422,       19.52551,    179.22575,     +48.61172,     179.24321,      +48.61642,  2162275.75, -3292421.86,  5121915.76,      52.621235,       -1.858963,   96659.55,  273668.75,   16543.63,            25508.56,  -116.12,  56496.43,           59008.90,    -34.53,    -41.70,          40.81,  +0.75,  -1.44
  8,     UK0002,       0,  0.470243, 2459437.459762792103, 179.57819,  48.16711,              325.05659,  19.26942,       325.06674,       19.25456,    179.57819,     +48.16711,     179.55604,      +48.15984,  2161276.99, -3293395.03,  5119761.26,      52.607786,       -1.879044,   95108.61,  272720.68,   19110.04,            28074.98,    69.45,  63638.45,           59198.95,     53.71,     64.79,          63.65,  +1.01,  -1.17
  9,     UK0002,       0,  0.510535, 2459437.459763258230, 179.84785,  47.77630,              324.67122,  19.03963,       324.68383,       19.02124,    179.84785,     +47.77630,     179.82026,      +47.76736,  2160425.84, -3294224.37,  5117925.16,      52.596318,       -1.896179,   93787.35,  271930.26,   21297.17,            30262.10,  -122.13,  54281.97,           59027.65,     66.38,     80.06,          78.89,  +1.89,  -0.28
  0,     UK0027,       1,  0.000000, 2459437.459757195786,  80.50445,  68.35454,               17.36448,  33.76127,        17.35819,       33.78316,     80.50445,     +68.35454,      80.48669,      +68.37608,  2172038.94, -3282908.85,  5142976.77,      52.752181,       -1.662319,  111853.59,  197342.65,       0.00,              421.05,   177.23,      0.00,           55736.88,    -38.14,    -67.50,          81.03,  +5.23,  +3.75
  1,     UK0027,       0,  0.040108, 2459437.459757660050,  81.09462,  68.37722,               17.12456,  33.67166,        17.10618,       33.73444,     81.09462,     +68.37722,      81.04560,      +68.43925,  2171200.95, -3283725.37,  5141169.06,      52.740978,       -1.679216,  110547.11,  195312.84,    2153.31,             2574.36,   -37.31,  53687.88,           55736.88,   -107.95,   -191.98,         232.60,  +3.45,  +2.00
  2,     UK0027,       0,  0.080096, 2459437.459758122917,  81.58932,  68.54530,               16.83475,  33.72737,        16.84736,       33.68380,     81.58932,     +68.54530,      81.62354,      +68.50223,  2170356.92, -3284547.76,  5139348.35,      52.729688,       -1.696231,  109231.68,  193271.30,    4322.11,             4743.16,  -229.28,  54236.22,           55736.88,     74.84,    131.35,         161.34,  +3.00,  +1.57
  3,     UK0027,       0,  0.120212, 2459437.459758587182,  82.27181,  68.58108,               16.55246,  33.63616,        16.55551,       33.62583,     82.27181,     +68.58108,      82.28003,      +68.57082,  2169423.67, -3285457.10,  5137335.16,      52.717196,       -1.715025,  107777.70,  191017.63,    6720.19,             7141.24,  -199.52,  59778.72,           55736.88,     17.51,     30.85,          38.30,  +1.97,  +0.56
  4,     UK0027,       0,  0.160312, 2459437.459759051446,  82.97089,  68.63673,               16.25218,  33.56164,        16.25131,       33.56456,     82.97089,     +68.63673,      82.96947,      +68.63964,  2168472.28, -3286384.12,  5135282.82,      52.704452,       -1.734179,  106296.01,  188724.01,    9164.91,             9585.95,  -122.19,  60965.34,           57138.29,     -4.89,     -8.63,          10.84,  +1.56,  +0.18
  5,     UK0027,       0,  0.200404, 2459437.459759515245,  83.68897,  68.70013,               15.94039,  33.49312,        15.93813,       33.50061,     83.68897,     +68.70013,      83.68467,      +68.70762,  2167514.88, -3287316.98,  5133217.54,      52.691620,       -1.753451,  104805.55,  186419.98,   11625.04,            12046.09,   -28.97,  61362.19,           58142.13,    -12.38,    -21.85,          27.78,  +1.31,  -0.04
  6,     UK0027,       0,  0.240496, 2459437.459759979509,  84.42959,  68.77409,               15.61440,  33.43277,        15.61417,       33.43350,     84.42959,     +68.77409,      84.43011,      +68.77483,  2166547.25, -3288259.82,  5131130.17,      52.678640,       -1.772924,  103299.75,  184095.61,   14111.47,            14532.52,    90.56,  62018.24,           58915.96,     -1.21,     -2.13,           2.74,  +1.16,  -0.17
  7,     UK0027,       0,  0.280580, 2459437.459760443307,  85.17267,  68.84784,               15.28810,  33.37466,        15.29089,       33.36563,     85.17267,     +68.84784,      85.17950,      +68.83874,  2165604.23, -3289178.67,  5129095.91,      52.665982,       -1.791903,  101832.82,  181834.60,   16534.64,            16955.69,   147.29,  60452.29,           59366.33,     14.61,     25.73,          33.56,  +0.88,  -0.42
  8,     UK0027,       0,  0.320656, 2459437.459760907106,  85.86964,  68.92548,               14.97801,  33.33031,        14.98710,       33.30111,     85.86964,     +68.92548,      85.88852,      +68.89597,  2164738.59, -3290022.13,  5127228.56,      52.654355,       -1.809337,  100486.73,  179762.75,   18759.00,            19180.05,     5.69,  55503.45,           59319.00,     46.84,     82.29,         108.64,  +0.73,  -0.54
  9,     UK0027,       0,  0.360732, 2459437.459761370905,  86.60486,  69.00054,               14.65523,  33.28017,        14.67009,       33.23285,     86.60486,     +69.00054,      86.63338,      +68.95258,  2163854.45, -3290883.61,  5125321.32,      52.642472,       -1.827138,   99112.36,  177650.65,   21030.88,            21451.93,   -88.40,  56689.30,           59151.50,     75.17,    131.77,         176.14,  +0.72,  -0.53
 10,     UK0027,       0,  0.400836, 2459437.459761835169,  87.36503,  69.03835,               14.34272,  33.19538,        14.35282,       33.16366,     87.36503,     +69.03835,      87.38370,      +69.00609,  2162989.08, -3291726.81,  5123454.54,      52.630834,       -1.844562,   97767.63,  175587.32,   23254.55,            23675.60,  -232.35,  55447.52,           58891.67,     49.79,     87.42,         118.18,  +0.62,  -0.60
 11,     UK0027,       0,  0.440928, 2459437.459762298968,  88.22145,  69.11725,               13.97216,  33.13594,        13.98916,       33.08303,     88.22145,     +69.11725,      88.24977,      +69.06328,  2162018.48, -3292672.54,  5121360.79,      52.617772,       -1.864083,   96259.98,  173278.33,   25748.59,            26169.64,  -105.21,  62207.98,           58869.35,     82.16,    143.91,         197.26,  +0.61,  -0.58
 12,     UK0027,       0,  0.481064, 2459437.459762763698,  89.15226,  69.13860,               13.60191,  33.01686,        13.60832,       32.99727,     89.15226,     +69.13860,      89.16318,      +69.11854,  2161026.93, -3293638.68,  5119221.82,      52.604418,       -1.884019,   94720.39,  170925.07,   28296.49,            28717.54,    73.18,  63481.70,           59008.14,     29.96,     52.67,          73.12,  +1.29,  +0.13

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.