Orbital Analysis for matched events on 20210929_020918.344_UK

Summary for Event
-----------------
shower ID 424 SOL
Lg 105.62° Bg 25.73° Vg 63.94km/s
mass 0.00705g, abs. mag 0.7
Path Details
------------
start -1.59° 52.32° 106.35km
end   -1.68° 52.30° 99.19km

Orbit Details
-------------
Semimajor axis 4.84A.U., eccentricity 0.81, inclination 134.24°, Period 10.64Y, LA Sun 185.86°, last Perihelion 2021-09-07

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: 2459486.589795649052
Time: 2021-09-29 02:09:18.387128 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0027 and UK003R
 Convergence angle = 0.57692 deg
 R.A. = 111.96112  Dec = +48.65993 deg

Best intersection: Stations UK0027 and UK003R with Qconv = 0.58 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3094444.71 +/- 3970.54 m
 Y =   2490549.20 +/- 2665.84 m
 Z =   5111299.02 +/- 12205.14 m
 Vx =   -15672.70 +/- 15942.44 m/s
 Vy =    40338.87 +/- 48437.27 m/s
 Vz =    48354.88 +/- 54296.41 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK0027: -0.000063 s
    UK003G: 0.000000 s
    UK003R: 0.000000 s
    UK003T: 0.000000 s
    UK003U: 0.000000 s
    UK003X: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 02:09:18.387128 UTC
  Lon     = +-1.561642 +/- 0.0659 deg
  Lat     = +52.330904 +/- 0.0755 deg
  Lat geo = +52.147712 +/- 0.0758 deg
  Ht      =  108485.88 +/- 8816.03 m

  JD dynamic   = 2459486.590596888214 
  LST apparent = 38.8286853558 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 111.23244 +/- 6.2371 deg
  Dec       = +48.17217 +/- 4.1681 deg
  Azimuth   =  65.04797 +/- 7.2847 deg
  Elevation = +45.48197 +/- 0.5815 deg
  Vavg      =  59.43368 +/- 63.6376 km/s
  Vinit     =  64.89262 +/- 69.4572 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 111.34763 +/- 6.2371 deg
  Dec       = +47.99097 +/- 4.1681 deg
  Azimuth   =  65.20096 +/- 7.2847 deg
  Elevation = +45.31700 +/- 0.5815 deg
  Vavg      =  59.61820 +/- 63.6376 km/s
  Vinit     =  65.07714 +/- 69.4572 km/s
Radiant (geocentric, J2000):
  R.A.   = 111.26266 +/- 6.1315 deg
  Dec    = +48.02278 +/- 4.2207 deg
  Vg     =  63.93672 +/- 69.6096 km/s
  Vinf   =  64.89262 +/- 69.4572 km/s
  Zc     =  44.59556 +/- 0.5938 deg
  Zg     =  44.94423 +/- 0.5462 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 105.61952 +/- 2.3252 deg
  Bg     = +25.73144 +/- 4.9054 deg
  Vh     =  39.84569 +/- 70.6956 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 114.80299 +/- 0.8055 deg
  Bh     = +44.16311 +/- 1.4955 deg
  Vh_x   =  11.99084 +/- 21.2344 km/s
  Vh_y   = -25.94699 +/- 38.5228 km/s
  Vh_z   = -27.76062 +/- 55.4159 km/s
Orbit:
  La Sun = 185.864317 +/- -0.0000 deg
  a      =   4.838811 +/- 1.2283 AU
  e      =   0.805545 +/- 29.7175
  i      = 134.242856 +/- 1.6305 deg
  peri   = 149.739581 +/- 3.9021 deg
  node   = 185.865017 +/- 0.0000 deg
  Pi     = 335.604598 +/- 3.9022 deg
  q      =   0.940933 +/- 0.0076 AU
  f      =  30.259254 +/- 3.9021 deg
  M      =   2.014600 +/- nan deg
  Q      =   8.736689 +/- 2.4640 AU
  n      =   0.092597 +/- 330.1969 deg/day
  T      =  10.644092 +/- 249443823.1298 years
  Last perihelion JD = 2459464.833908 (2021-09-07 08:00:49.621712) +/- 0.0000 days
  Tj     =   0.278260 +/- 160.2725
Shower association:
  IAU No.  =  424
  IAU code =  SOL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.008009
 a2 = 56.025391

Mean time residuals from time vs. length:
  Station with reference time: UK003R
  Avg. res. = 4.025e-05 s
  Stddev    = 6.34e-03 s

Begin point on the trajectory:
  Lon =    -1.589168 +/- 0.0417 deg
  Lat =    52.323053 +/- 0.0491 deg
  Ht  = 106346.05 +/- 5644.79 m
End point on the trajectory:
  Lon =    -1.681954 +/- 0.0213 deg
  Lat =    52.296714 +/- 0.0278 deg
  Ht  = 99194.66 +/- 3042.65 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
    UK0027,   False,    -2.374601,    51.371449,   48.00,  95.594079,   4.683440,   106346.05,    99194.66,          0.007685,      9.00,     18.66,              10.81, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210929_020910_570_0691456.fits"}
    UK003G,    True,    -1.802002,    51.351948,  130.00, 2594.532314,   0.587264,   106961.93,   101486.75,          0.089163,       nan,       nan,              22.96, 0.0000,    True,    True, {"ff_name": "FF_UK003G_20210929_020915_003_0697088.fits"}
    UK003R,   False,    -2.379340,    51.361330,  169.00,   0.000000,   0.000000,   106248.15,    99777.14,          0.007958,      9.33,     19.87,              10.97, 1.0000,    True,    True, {"ff_name": "FF_UK003R_20210929_020914_251_0300544.fits"}
    UK003T,    True,    -1.740490,    53.069201,  240.00, 1511.667194,   3.459560,   106874.51,   101940.83,          0.337259,       nan,       nan,              69.24, 0.0000,    True,    True, {"ff_name": "FF_UK003T_20210929_020910_495_0691712.fits"}
    UK003U,    True,    -1.740490,    53.069201,  240.00, 5727.600679,   0.834704,   106766.86,   101724.65,          0.361120,       nan,       nan,              69.24, 0.0000,    True,    True, {"ff_name": "FF_UK003U_20210929_020910_646_0692736.fits"}
    UK003X,    True,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,   108286.56,    99654.67,          0.118495,       nan,       nan,               6.16, 0.0000,    True,    True, {"ff_name": "FF_UK003X_20210929_020910_368_0692736.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,     UK0027,       1,  0.002735, 2459486.589795681648, 145.84036,  68.70711,               27.34529,  41.18469,        27.34797,       41.17906,    145.84036,     +68.70711,     145.84920,      +68.70206,  3094474.63,  2490472.19,  5111206.71,      52.330580,       -1.562610,  108397.55,  162802.88,       0.00,              123.89,  -266.19,      0.00,           65544.05,     15.30,     -7.38,          21.52,  +6.12,  +5.06
  1,     UK0027,       0,  0.042983, 2459486.589796147309, 146.93996,  68.94881,               26.76743,  41.02181,        26.76680,       41.02310,    146.93996,     +68.94881,     146.93815,      +68.94998,  3095169.61,  2488683.42,  5109062.48,      52.323053,       -1.589168,  106346.05,  160232.67,    2877.58,             3001.46,    -0.41,  71496.10,           65544.05,     -3.45,      1.66,           4.93,  +2.57,  +1.55
  2,     UK0027,       0,  0.083187, 2459486.589796612505, 147.88947,  69.15282,               26.27534,  40.88489,        26.27364,       40.88833,    147.88947,     +69.15282,     147.88457,      +69.15599,  3095743.92,  2487205.26,  5107290.58,      52.316825,       -1.611149,  104651.24,  158116.28,    5255.48,             5379.36,  -231.45,  59145.85,           65544.05,     -9.14,      4.40,          13.23,  +1.49,  +0.50
  3,     UK0027,       0,  0.123435, 2459486.589797078632, 149.04572,  69.38283,               25.69733,  40.71464,        25.69188,       40.72552,    149.04572,     +69.38283,     149.02998,      +69.39297,  3096406.01,  2485501.15,  5105247.84,      52.309637,       -1.636471,  102697.89,  155686.61,    7996.85,             8120.73,  -101.88,  68112.04,           65544.05,    -28.50,     13.72,          41.91,  +1.70,  +0.74
  4,     UK0027,       0,  0.163667, 2459486.589797544293, 150.20997,  69.63628,               25.09589,  40.56621,        25.10091,       40.55633,    150.20997,     +69.63628,     150.22511,      +69.62697,  3097061.25,  2483814.66,  5103226.21,      52.302513,       -1.661539,  100765.27,  153292.62,   10709.89,            10833.78,     0.41,  67434.99,           65965.95,     25.51,    -12.31,          38.11,  +2.20,  +1.27
  5,     UK0027,       0,  0.203879, 2459486.589798009489, 151.23696,  69.82201,               24.60538,  40.41809,        24.60811,       40.41279,    151.23696,     +69.82201,     151.24540,      +69.81696,  3097593.89,  2482443.73,  5101582.86,      52.296714,       -1.681954,   99194.66,  151354.01,   12915.28,            13039.17,  -403.66,  54844.12,           64498.46,     13.53,     -6.53,          20.47,  +3.37,  +2.47
  0,     UK003G,       1,  0.072279, 2459486.589796485379, 181.09760,  80.52867,                7.94093,  43.53578,         7.90608,       43.59760,    181.09760,     +80.52867,     181.03107,      +80.59454,  3094960.94,  2489220.51,  5109706.29,      52.325314,       -1.581365,  106961.93,  153539.51,       0.00,             2137.46, -2765.52,      0.00,           63257.22,   -139.06,    112.62,         240.39,  +3.55,  +2.62
  1,     UK003G,       1,  0.112455, 2459486.589796950575, 185.09681,  80.58231,                7.12161,  43.25485,         7.06746,       43.34846,    185.09681,     +80.58231,     185.03790,      +80.68342,  3095618.45,  2487528.19,  5107677.68,      52.318187,       -1.606505,  105021.42,  151444.49,    2722.42,             4859.87, -2650.23,  67762.27,           63257.22,   -208.77,    168.78,         365.64,  +1.52,  +0.62
  2,     UK003G,       1,  0.152579, 2459486.589797414839, 188.65168,  80.63160,                6.38119,  43.03783,         6.33084,       43.12314,    188.65168,     +80.63160,     188.63283,      +80.72444,  3096185.17,  2486069.55,  5105929.19,      52.312036,       -1.628201,  103349.30,  149655.05,    5068.90,             7206.36, -2907.50,  58480.81,           63257.22,   -188.63,    152.60,         334.40,  +2.09,  +1.21
  3,     UK003G,       1,  0.192731, 2459486.589797879569, 192.73597,  80.63530,                5.54716,  42.77612,         5.49658,       42.85991,    192.73597,     +80.63530,     192.75748,      +80.72687,  3096816.59,  2484444.38,  5103981.07,      52.305174,       -1.652362,  101486.75,  147680.05,    7683.29,             9820.75, -2898.68,  65112.28,           63257.22,   -183.60,    148.57,         329.88,  +2.67,  +1.82
  0,     UK003R,       1,  0.000000, 2459486.589795649052, 146.56376,  68.59045,               27.24577,  40.89516,        27.25528,       40.87566,    146.56376,     +68.59045,     146.59332,      +68.57269,  3094454.71,  2490523.46,  5111268.16,      52.330796,       -1.561842,  108456.35,  163666.29,       0.00,               41.41,  -171.21,      0.00,           64683.31,     53.72,    -25.29,          74.83,  +5.83,  +4.76
  1,     UK003R,       0,  0.040260, 2459486.589796115179, 147.76109,  68.83947,               26.62956,  40.71254,        26.63443,       40.70275,    147.76109,     +68.83947,     147.77583,      +68.83042,  3095202.78,  2488598.04,  5108960.14,      52.322694,       -1.590416,  106248.15,  160904.46,    3097.39,             3138.81,   313.61,  76934.72,           64683.31,     26.60,    -12.51,          37.68,  +2.36,  +1.33
  2,     UK003R,       0,  0.080476, 2459486.589796580374, 148.74906,  69.02096,               26.14744,  40.55374,        26.14257,       40.56336,    148.74906,     +69.02096,     148.73533,      +69.02996,  3095779.15,  2487114.57,  5107181.87,      52.316443,       -1.612475,  104547.27,  158784.30,    5483.84,             5525.25,    90.33,  59340.74,           64683.31,    -25.87,     12.15,          37.12,  +2.08,  +1.08
  3,     UK003R,       0,  0.120676, 2459486.589797045570, 149.74321,  69.22848,               25.63882,  40.41625,        25.63812,       40.41761,    149.74321,     +69.22848,     149.74176,      +69.22976,  3096357.18,  2485626.83,  5105398.49,      52.310167,       -1.634603,  102841.92,  156665.95,    7877.15,             7918.57,  -125.04,  59535.13,           64683.31,     -3.61,      1.70,           5.25,  +2.15,  +1.18
  4,     UK003R,       0,  0.160940, 2459486.589797511697, 151.03180,  69.46122,               25.01832,  40.22404,        25.01379,       40.23272,    151.03180,     +69.46122,     151.02034,      +69.46953,  3097056.13,  2483827.84,  5103242.01,      52.302568,       -1.661333,  100780.38,  154116.29,   10771.16,            10812.57,   156.13,  71875.76,           65430.42,    -22.74,     10.68,          33.62,  +3.05,  +2.11
  5,     UK003R,       0,  0.201064, 2459486.589797975961, 151.67473,  69.58446,               24.70268,  40.13674,        24.70103,       40.13987,    151.67473,     +69.58446,     151.67124,      +69.58749,  3097396.34,  2482952.21,  5102192.38,      52.298866,       -1.674431,   99777.14,  152877.88,   12179.77,            12221.18, -1039.01,  35106.49,           61323.65,     -8.16,      3.84,          12.17,  +4.88,  +3.96
  0,     UK003T,       1,  0.063585, 2459486.589796384797,  43.16069,  14.82711,              172.97033,  51.59167,       172.58616,       51.32761,     43.16069,     +14.82711,      43.42898,      +14.58256,  3094990.56,  2489144.27,  5109614.91,      52.324993,       -1.582454,  106874.51,  135868.95,       0.00,             2260.10, -2078.69,      0.00,           57352.69,    727.07,    430.84,        1283.02,  +1.43,  +0.76
  1,     UK003T,       1,  0.104401, 2459486.589796857443,  42.44308,  14.09514,              174.15916,  50.90978,       173.76896,       50.64626,     42.44308,     +14.09514,      42.71492,      +13.84824,  3095623.89,  2487514.18,  5107660.90,      52.318128,       -1.606678,  105005.38,  134757.55,    2622.30,             4882.40, -2105.05,  64246.76,           57352.69,    730.40,    432.91,        1299.60,  +1.23,  +0.58
  2,     UK003T,       1,  0.145221, 2459486.589797329623,  41.73780,  13.35044,              175.30249,  50.20518,       174.92064,       49.95149,     41.73780,     +13.35044,      42.00349,      +13.10999,  3096248.71,  2485905.99,  5105733.13,      52.311345,       -1.630585,  103161.85,  133702.68,    5209.37,             7469.47, -2166.89,  63377.73,           57352.69,    708.10,    419.55,        1269.75,  +2.25,  +1.62
  3,     UK003T,       1,  0.185749, 2459486.589797799010,  41.32263,  12.79751,              175.97046,  49.67184,       175.67749,       49.47911,     41.32263,     +12.79751,      41.52681,      +12.61350,  3096662.63,  2484840.63,  5104456.07,      52.306848,       -1.646482,  101940.83,  133026.92,    6923.20,             9183.30, -3083.03,  42287.53,           57352.69,    541.03,    319.46,         974.22,  +5.57,  +4.95
  0,     UK003U,       1,  0.134285, 2459486.589797203429,  43.10001,  14.79560,              173.06828,  51.56467,       172.66789,       51.28986,     43.10001,     +14.79560,      43.37976,      +14.54086,  3095027.00,  2489050.47,  5109502.46,      52.324599,       -1.584133,  106766.86,  135802.27,       0.00,             2411.00, -6515.71,      0.00,           59368.26,    756.87,    448.91,        1336.58,  +2.09,  +1.43
  1,     UK003U,       1,  0.174585, 2459486.589797669556,  42.42076,  14.08917,              174.19402,  50.90518,       173.79791,       50.63782,     42.42076,     +14.08917,      42.69692,      +13.83860,  3095632.25,  2487492.67,  5107635.10,      52.318037,       -1.607288,  104980.60,  134741.74,    2506.02,             4917.01, -6624.87,  62184.02,           59368.26,    741.10,    439.47,        1318.96,  +1.70,  +1.05
  2,     UK003U,       1,  0.214905, 2459486.589798136149,  41.68523,  13.31561,              175.38501,  50.17296,       174.99497,       49.91413,     41.68523,     +13.31561,      41.95681,      +13.07009,  3096282.25,  2485819.68,  5105629.67,      52.310981,       -1.632150,  103062.79,  133646.09,    5197.32,             7608.32, -6550.03,  66748.59,           59368.26,    722.69,    428.45,        1296.67,  +1.77,  +1.14
  3,     UK003U,       1,  0.255141, 2459486.589798602276,  41.17332,  12.76052,              176.19759,  49.64101,       175.82258,       49.39494,     41.17332,     +12.76052,      41.43447,      +12.52511,  3096735.88,  2484652.12,  5104230.09,      52.306051,       -1.649555,  101724.65,  132908.37,    7075.57,             9486.57, -7282.80,  46680.83,           59368.26,    690.80,    409.32,        1246.14,  +3.20,  +2.58
  0,     UK003X,       1, -0.019956, 2459486.589795418084, 118.99361,  66.59051,               37.03637,  49.35039,        37.04967,       49.48118,    118.99361,     +66.59051,     118.67620,      +66.62672,  3094512.22,  2490375.43,  5111090.72,      52.330173,       -1.563942,  108286.56,  141416.12,       0.00,              279.55,  1361.89,     -0.00,           59803.22,   -234.55,    222.85,         471.90,  +5.61,  +4.86
  1,     UK003X,       1,  0.020020, 2459486.589795880951, 119.09641,  66.83762,               36.65823,  49.39614,        36.66829,       49.50059,    119.09641,     +66.83762,     118.84067,      +66.86660,  3094957.78,  2489228.63,  5109716.04,      52.325348,       -1.581027,  106971.28,  139667.06,    1844.83,             2124.38,   612.58,  46148.51,           59803.22,   -184.67,    176.01,         376.76,  +2.79,  +2.06
  2,     UK003X,       1,  0.060012, 2459486.589796343818, 119.34274,  67.20087,               36.08274,  49.42780,        36.09116,       49.52661,    119.34274,     +67.20087,     119.09772,      +67.22861,  3095614.01,  2487539.63,  5107691.39,      52.318235,       -1.606117,  105034.59,  137098.03,    4561.92,             4841.47,   734.48,  67940.74,           59803.22,   -171.31,    163.45,         356.23,  +1.95,  +1.26
  3,     UK003X,       1,  0.100036, 2459486.589796806686, 119.66467,  67.53878,               35.52945,  49.42381,        35.53850,       49.54896,    119.66467,     +67.53878,     119.35060,      +67.57458,  3096219.10,  2485982.21,  5105824.49,      52.311667,       -1.629271,  103249.27,  134734.23,    7067.31,             7346.86,   642.61,  62597.26,           59803.22,   -213.39,    203.13,         451.03,  +1.63,  +0.98
  4,     UK003X,       1,  0.140020, 2459486.589797269553, 119.90812,  67.90994,               34.94383,  49.45956,        34.95063,       49.56977,    119.90812,     +67.90994,     119.62770,      +67.94181,  3096839.90,  2484384.39,  5103909.16,      52.304920,       -1.653027,  101418.10,  132314.90,    9637.71,             9917.26,   618.34,  64285.60,           61250.07,   -184.33,    175.81,         397.09,  +1.79,  +1.18
  5,     UK003X,       1,  0.180044, 2459486.589797732886, 120.26332,  68.26809,               34.35645,  49.45188,        34.36299,       49.58766,    120.26332,     +68.26809,     119.91318,      +68.30814,  3097437.88,  2482845.27,  5102064.19,      52.298413,       -1.675923,   99654.67,  129990.05,   12113.67,            12393.22,   497.04,  61861.89,           61750.94,   -223.26,    212.48,         489.05,  +2.19,  +1.62

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.