Orbital Analysis for matched events on 20210904_035233.604_UK

Summary for Event
-----------------
shower ID 161 SSC
Lg 359.60° Bg -3.02° Vg 31.13km/s
mass 0.02122g, abs. mag 1.3
Path Details
------------
start -1.23° 50.51° 91.92km
end   -1.05° 50.62° 82.00km

Orbit Details
-------------
Semimajor axis 1.92A.U., eccentricity 0.87, inclination 4.71°, Period 2.66Y, LA Sun 161.55°, last Perihelion 2019-02-15

Full details below
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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: 2459461.661500048824
Time: 2021-09-04 03:52:33.604218 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK002D
 Convergence angle = 22.21139 deg
 R.A. =   2.16286  Dec =  -1.18267 deg

Best intersection: Stations UK0001 and UK002D with Qconv = 22.21 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3139503.52 +/- 54.77 m
 Y =   2672595.05 +/- 80.43 m
 Z =   4969772.95 +/- 37.65 m
 Vx =    33023.77 +/- 213.14 m/s
 Vy =     1171.06 +/- 189.13 m/s
 Vz =     -584.80 +/- 81.64 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.281998e+03, +4.517558e+03, +2.042981e+03, +1.056367e+04, +9.579445e+03, +3.818067e+03
+4.517558e+03, +7.037160e+03, +2.989221e+03, +1.634338e+04, +1.554467e+04, +5.606557e+03
+2.042981e+03, +2.989221e+03, +1.531096e+03, +6.924048e+03, +6.692380e+03, +3.137643e+03
+1.056367e+04, +1.634338e+04, +6.924048e+03, +4.376822e+04, +3.923021e+04, +1.397273e+04
+9.579445e+03, +1.554467e+04, +6.692380e+03, +3.923021e+04, +3.938566e+04, +1.435695e+04
+3.818067e+03, +5.606557e+03, +3.137643e+03, +1.397273e+04, +1.435695e+04, +7.493155e+03

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK002D: 0.000228 s

Reference point on the trajectory:
  Time: 2021-09-04 03:52:33.604218 UTC
  Lon     = +-1.226423 +/- 0.0004 deg
  Lat     = +50.506590 +/- 0.0004 deg
  Lat geo = +50.320281 +/- 0.0004 deg
  Ht      =   91899.20 +/- 86.32 m

  JD dynamic   = 2459461.662300789729 
  LST apparent = 40.4070706251 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   2.03093 +/- 0.3155 deg
  Dec       =  -1.01388 +/- 0.1479 deg
  Azimuth   = 225.21269 +/- 0.2619 deg
  Elevation = +29.00280 +/- 0.2630 deg
  Vavg      =  31.92456 +/- 0.0960 km/s
  Vinit     =  33.04970 +/- 0.2062 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   2.44192 +/- 0.3155 deg
  Dec       =  -1.01961 +/- 0.1479 deg
  Azimuth   = 224.78973 +/- 0.2619 deg
  Elevation = +29.18251 +/- 0.2630 deg
  Vavg      =  31.73878 +/- 0.0960 km/s
  Vinit     =  32.86393 +/- 0.2062 km/s
Radiant (geocentric, J2000):
  R.A.   =   0.83673 +/- 0.3351 deg
  Dec    =  -2.93227 +/- 0.1739 deg
  Vg     =  31.12605 +/- 0.2187 km/s
  Vinf   =  33.04970 +/- 0.2062 km/s
  Zc     =  60.86604 +/- 0.2635 deg
  Zg     =  62.88371 +/- 0.2973 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 359.60029 +/- 0.3703 deg
  Bg     =  -3.02293 +/- 0.0745 deg
  Vh     =  36.02001 +/- 0.0535 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 307.95669 +/- 0.4680 deg
  Bh     =  -2.60894 +/- 0.0653 deg
  Vh_x   = -22.13171 +/- 0.2181 km/s
  Vh_y   =  28.37147 +/- 0.2041 km/s
  Vh_z   =   1.63959 +/- 0.0415 km/s
Orbit:
  La Sun = 161.553924 +/- -0.0000 deg
  a      =   1.921084 +/- 0.0161 AU
  e      =   0.872784 +/- 0.0031
  i      =   4.709986 +/- 0.1433 deg
  peri   = 128.763229 +/- 0.8212 deg
  node   = 341.533269 +/- 0.0006 deg
  Pi     = 110.296498 +/- 0.8216 deg
  q      =   0.244392 +/- 0.0065 AU
  f      = 231.259470 +/- 0.8216 deg
  M      = 344.925357 +/- 0.1800 deg
  Q      =   3.597775 +/- 0.0298 AU
  n      =   0.370156 +/- 0.0046 deg/day
  T      =   2.662687 +/- 0.0336 years
  Last perihelion JD = 2458529.824201 (2019-02-15 07:46:50.971744) +/- 12.1955 days
  Tj     =   3.300137 +/- 0.0200
Shower association:
  IAU No.  =  161
  IAU code =  SSC

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.044342e-05, -2.100261e-05, +5.320874e-03, +2.181351e-08, +4.448669e-05, +4.847845e-06
q   , -2.100261e-05, +4.599494e-05, -3.456684e-02, -4.146016e-08, -1.000112e-04, -9.252204e-06
Tp  , +5.320874e-03, -3.456684e-02, +1.543367e+02, -4.121963e-06, +8.965605e-02, -6.744772e-04
node, +2.181351e-08, -4.146016e-08, -4.121963e-06, +1.308099e-10, +8.622524e-08, +2.948288e-08
peri, +4.448669e-05, -1.000112e-04, +8.965605e-02, +8.622524e-08, +2.191013e-04, +1.926978e-05
i   , +4.847845e-06, -9.252204e-06, -6.744772e-04, +2.948288e-08, +1.926978e-05, +6.650375e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.662795
 a2 = 11.035303

Mean time residuals from time vs. length:
  Station with reference time: UK0001
  Avg. res. = 7.660e-06 s
  Stddev    = 2.77e-03 s

Begin point on the trajectory:
  Lon =    -1.226819 +/- 0.0005 deg
  Lat =    50.506340 +/- 0.0004 deg
  Ht  = 91921.45 +/- 78.78 m
End point on the trajectory:
  Lon =    -1.051970 +/- 0.0004 deg
  Lat =    50.618330 +/- 0.0002 deg
  Ht  = 82002.85 +/- 40.82 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.816476,  10.675271,    91921.45,    82002.85,          0.014158,     25.28,      6.00,              64.59, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210904_035228_708_0765952.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.073324,  15.175801,    90468.12,    82984.56,          0.013508,     26.82,     16.12,              54.71, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210904_035232_539_0764160.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,     UK0001,       0,  0.000000, 2459461.661500048824,  64.02194,  25.41957,              134.87433,  58.54864,       134.85263,       58.58849,     64.02194,     +25.41957,      64.01096,      +25.45979,  3139549.36,  2672596.68,  4969772.13,      50.506340,       -1.226819,   91921.45,  107393.27,       0.00,               45.88,   201.28,      0.00,           32311.55,    -17.97,     75.54,         149.14,  +3.26,  +3.11
  1,     UK0001,       0,  0.040504, 2459461.661500517745,  64.71048,  25.60866,              133.66457,  58.40107,       133.66038,       58.40831,     64.71048,     +25.60866,      64.70868,      +25.61602,  3138209.01,  2672549.15,  4969795.87,      50.513664,       -1.215414,   91271.17,  106837.03,    1341.40,             1295.53,   112.29,  33117.84,           32311.55,     -3.26,     13.73,          27.24,  +2.55,  +2.41
  2,     UK0001,       0,  0.081032, 2459461.661500986665,  65.42419,  25.77830,              132.44754,  58.21761,       132.45088,       58.21215,     65.42419,     +25.77830,      65.42599,      +25.77272,  3136848.98,  2672500.92,  4969819.95,      50.521096,       -1.203834,   90611.55,  106286.83,    2702.50,             2656.62,   133.94,  33583.99,           32311.55,      2.45,    -10.35,          20.64,  +2.73,  +2.60
  3,     UK0001,       0,  0.121508, 2459461.661501455121,  66.06758,  25.91287,              131.37926,  58.03016,       131.38098,       58.02748,     66.06758,     +25.91287,      66.06879,      +25.91011,  3135643.53,  2672458.17,  4969841.30,      50.527684,       -1.193584,   90027.07,  105810.69,    3908.90,             3863.02,     2.62,  29805.29,           32311.55,      1.20,     -5.08,          10.18,  +2.37,  +2.25
  4,     UK0001,       0,  0.162012, 2459461.661501924042,  66.74857,  26.04206,              130.27343,  57.81431,       130.26728,       57.82345,     66.74857,     +26.04206,      66.74688,      +26.05153,  3134386.89,  2672413.61,  4969863.55,      50.534551,       -1.182886,   89417.93,  105326.77,    5166.53,             5120.65,   -78.39,  31049.61,           31851.13,     -4.12,     17.36,          34.94,  +2.71,  +2.60
  5,     UK0001,       0,  0.202576, 2459461.661502393428,  67.51757,  26.20277,              129.02435,  57.57567,       129.02106,       57.58031,     67.51757,     +26.20277,      67.51723,      +26.20762,  3132977.90,  2672363.65,  4969888.51,      50.542252,       -1.170866,   88735.16,  104799.86,    6576.63,             6530.75,    -8.92,  34762.26,           32136.08,     -2.10,      8.84,          17.88,  +2.00,  +1.90
  6,     UK0001,       0,  0.243152, 2459461.661502863280,  68.30013,  26.34614,              127.78980,  57.30816,       127.77923,       57.32239,     68.30013,     +26.34614,      68.29759,      +26.36114,  3131568.43,  2672313.66,  4969913.47,      50.549956,       -1.158834,   88052.37,  104288.97,    7987.20,             7941.32,    60.63,  34763.80,           32519.84,     -6.44,     27.16,          55.21,  +1.85,  +1.76
  7,     UK0001,       0,  0.283676, 2459461.661503332201,  69.02262,  26.51463,              126.62696,  57.08434,       126.63712,       57.07120,     69.02262,     +26.51463,      69.02703,      +26.50066,  3130265.54,  2672267.46,  4969936.54,      50.557077,       -1.147719,   87421.41,  103830.95,    9291.11,             9245.23,    25.23,  32176.22,           32650.97,      5.95,    -25.15,          51.33,  +1.42,  +1.34
  8,     UK0001,       0,  0.324252, 2459461.661503801588,  69.81115,  26.64997,              125.42400,  56.79290,       125.42672,       56.78953,     69.81115,     +26.64997,      69.81331,      +26.64636,  3128877.84,  2672218.25,  4969961.11,      50.564662,       -1.135863,   86749.58,  103359.10,   10679.90,            10634.02,    73.00,  34226.94,           32817.37,      1.53,     -6.46,          13.26,  +1.25,  +1.18
  9,     UK0001,       0,  0.364796, 2459461.661504270975,  70.56347,  26.79299,              124.27716,  56.51967,       124.28578,       56.50936,     70.56347,     +26.79299,      70.56742,      +26.78184,  3127561.16,  2672171.56,  4969984.43,      50.571860,       -1.124618,   86112.33,  102926.25,   11997.61,            11951.73,    50.74,  32500.65,           32884.76,      4.70,    -19.85,          40.88,  +1.18,  +1.12
 10,     UK0001,       0,  0.405324, 2459461.661504739895,  71.29115,  26.92134,              123.19270,  56.24145,       123.20275,       56.22983,     71.29115,     +26.92134,      71.29552,      +26.90867,  3126302.59,  2672126.93,  4970006.71,      50.578740,       -1.113870,   85503.36,  102526.20,   13257.18,            13211.30,   -29.14,  31078.91,           32839.43,      5.31,    -22.45,          46.42,  +0.96,  +0.91
 11,     UK0001,       0,  0.445864, 2459461.661505209282,  72.03210,  27.03846,              122.11738,  55.94167,       122.12151,       55.93704,     72.03210,     +27.03846,      72.03500,      +27.03337,  3125036.99,  2672082.05,  4970029.13,      50.585658,       -1.103056,   84891.18,  102137.83,   14523.77,            14477.89,  -102.38,  31243.01,           32751.86,      2.13,     -8.99,          18.65,  +1.12,  +1.07
 12,     UK0001,       0,  0.486392, 2459461.661505678203,  72.77177,  27.16838,              121.04435,  55.64743,       121.05604,       55.63473,     72.77177,     +27.16838,      72.77660,      +27.15428,  3123779.88,  2672037.47,  4970051.39,      50.592531,       -1.092310,   84283.27,  101765.98,   15781.86,            15735.98,  -183.72,  31042.58,           32642.61,      5.85,    -24.74,          51.52,  +1.22,  +1.18
 13,     UK0001,       0,  0.526928, 2459461.661506147590,  73.51126,  27.26579,              120.02085,  55.32244,       120.01710,       55.32641,     73.51126,     +27.26579,      73.51261,      +27.27023,  3122543.51,  2671993.63,  4970073.28,      50.599290,       -1.081740,   83685.55,  101413.87,   17019.20,            16973.33,  -286.08,  30524.56,           32513.42,     -1.84,      7.77,          16.23,  +1.93,  +1.90
 14,     UK0001,       0,  0.567464, 2459461.661506616510,  74.25827,  27.37728,              118.98714,  54.99966,       118.98162,       55.00534,     74.25827,     +27.37728,      74.25946,      +27.38370,  3121300.10,  2671949.54,  4970095.30,      50.606088,       -1.071103,   83084.60,  101073.65,   18263.59,            18217.71,  -381.40,  30698.21,           32384.08,     -2.64,     11.17,          23.42,  +3.13,  +3.11
 15,     UK0001,       0,  0.607976, 2459461.661507085431,  74.98143,  27.51081,              117.97209,  54.70262,       117.98997,       54.68469,     74.98143,     +27.51081,      74.98761,      +27.49037,  3120097.71,  2671906.90,  4970116.59,      50.612663,       -1.060818,   82503.63,  100757.79,   19466.92,            19421.05,  -516.98,  29703.22,           32238.44,      8.37,    -35.42,          74.50,  +3.01,  +2.99
 16,     UK0001,       0,  0.648432, 2459461.661507553887,  75.61688,  27.57802,              117.14544,  54.39913,       117.14365,       54.40089,     75.61688,     +27.57802,      75.61925,      +27.58004,  3119061.10,  2671870.14,  4970134.95,      50.618330,       -1.051970,   82002.85,  100495.23,   20504.35,            20458.47,  -816.61,  25643.29,           32009.46,     -0.83,      3.49,           7.36,  +3.44,  +3.43
  0,     UK002D,       1,  0.014701, 2459461.661500218324,  57.48704,   4.76971,              156.33586,  41.14732,       156.32707,       41.18456,     57.48704,      +4.76971,      57.48412,       +4.80741,  3139122.43,  2672581.54,  4969779.70,      50.508673,       -1.223194,   91714.30,  137819.14,       0.00,              381.38,    50.91,      0.00,           32235.64,    -46.94,     77.93,         136.15,  +5.76,  +5.06
  1,     UK002D,       0,  0.094649, 2459461.661501143593,  58.36526,   4.90295,              155.16821,  41.05081,       155.17456,       41.02571,     58.36526,      +4.90295,      58.36766,       +4.87747,  3136553.20,  2672490.43,  4969825.19,      50.522712,       -1.201335,   90468.12,  136379.35,    2571.25,             2952.64,   -20.09,  32161.57,           32235.64,     31.33,    -52.13,          91.99,  +4.84,  +4.17
  2,     UK002D,       0,  0.134665, 2459461.661501606926,  58.89896,   4.92839,              154.48026,  40.93354,       154.48268,       40.92435,     58.89896,      +4.92839,      58.90025,       +4.91905,  3135032.69,  2672436.51,  4969852.12,      50.531022,       -1.188357,   89730.96,  135543.46,    4092.95,             4474.34,   179.09,  38027.31,           32235.64,     11.42,    -19.00,          33.73,  +4.58,  +3.92
  3,     UK002D,       0,  0.174685, 2459461.661502070259,  59.24070,   4.93087,              154.04600,  40.84325,       154.04210,       40.85768,     59.24070,      +4.93087,      59.24030,       +4.94555,  3134066.80,  2672402.26,  4969869.22,      50.536301,       -1.180171,   89262.80,  135017.18,    5059.60,             5440.98,  -176.92,  24154.01,           32235.64,    -17.89,     29.73,          53.00,  +4.28,  +3.63
  4,     UK002D,       0,  0.214681, 2459461.661502533127,  59.74062,   4.97467,              153.39789,  40.74710,       153.39532,       40.75627,     59.74062,      +4.97467,      59.74081,       +4.98402,  3132664.74,  2672352.54,  4969894.05,      50.543964,       -1.168206,   88583.43,  134263.56,    6462.76,             6844.15,   -95.60,  35082.67,           32182.49,    -11.33,     18.82,          33.75,  +3.60,  +2.96
  5,     UK002D,       0,  0.254669, 2459461.661502995994,  60.25028,   5.03144,              152.73449,  40.65736,       152.73691,       40.64899,     60.25028,      +5.03144,      60.25198,       +5.02290,  3131249.05,  2672302.34,  4969919.12,      50.551701,       -1.156116,   87897.68,  133513.15,    7879.57,             8260.95,    -0.39,  35430.74,           32534.30,     10.29,    -17.11,          30.84,  +2.22,  +1.59
  6,     UK002D,       0,  0.294685, 2459461.661503458861,  60.76137,   5.05630,              152.08339,  40.53331,       152.08192,       40.53821,     60.76137,      +5.05630,      60.76223,       +5.06131,  3129851.51,  2672252.78,  4969943.87,      50.559340,       -1.144178,   87220.94,  132782.82,    9278.20,             9659.59,    75.73,  34951.89,           32899.10,     -6.00,      9.98,          18.08,  +2.37,  +1.75
  7,     UK002D,       0,  0.334681, 2459461.661503921729,  61.22990,   5.10084,              151.48001,  40.43749,       151.48136,       40.43310,     61.22990,      +5.10084,      61.23163,       +5.09634,  3128578.20,  2672207.63,  4969966.42,      50.566300,       -1.133310,   86604.54,  132126.26,   10552.51,            10933.90,    28.18,  31860.85,           32992.35,      5.36,     -8.91,          16.24,  +2.30,  +1.70
  8,     UK002D,       0,  0.374681, 2459461.661504385062,  61.73243,   5.14801,              150.83496,  40.33105,       150.83945,       40.31691,     61.73243,      +5.14801,      61.73506,       +5.13350,  3127227.31,  2672159.72,  4969990.34,      50.573685,       -1.121763,   85950.77,  131439.72,   11904.47,            12285.85,    58.15,  33798.93,           33087.30,     17.20,    -28.61,          52.39,  +1.68,  +1.09
  9,     UK002D,       0,  0.414685, 2459461.661504847929,  62.19863,   5.18155,              150.24249,  40.21975,       150.24692,       40.20618,     62.19863,      +5.18155,      62.20138,       +5.16760,  3125987.49,  2672115.76,  4970012.29,      50.580462,       -1.111175,   85350.93,  130818.26,   13145.26,            13526.65,   -23.18,  31016.73,           33035.19,     16.44,    -27.36,          50.33,  +1.32,  +0.74
 10,     UK002D,       0,  0.454689, 2459461.661505310796,  62.70896,   5.22260,              149.59432,  40.09897,       149.60022,       40.08142,     62.70896,      +5.22260,      62.71215,       +5.20452,  3124643.94,  2672068.11,  4970036.09,      50.587807,       -1.099681,   84701.11,  130155.03,   14489.86,            14871.24,    -0.71,  33611.55,           33029.88,     21.21,    -35.28,          65.24,  +1.87,  +1.30
 11,     UK002D,       0,  0.494713, 2459461.661505774129,  63.14591,   5.23088,              149.05242,  39.96758,       149.05080,       39.97231,     63.14591,      +5.23088,      63.14763,       +5.23575,  3123507.30,  2672027.81,  4970056.22,      50.594021,       -1.089978,   84151.48,  129601.32,   15627.39,            16008.78,  -185.95,  28421.30,           32860.52,     -5.69,      9.47,          17.58,  +1.98,  +1.42
 12,     UK002D,       0,  0.534709, 2459461.661506236997,  63.60534,   5.27931,              148.46782,  39.86458,       148.47154,       39.85405,     63.60534,      +5.27931,      63.60834,       +5.26843,  3122315.95,  2671985.56,  4970077.31,      50.600534,       -1.079795,   83575.56,  129029.28,   16819.68,            17201.06,  -315.52,  29810.16,           32660.64,     12.66,    -21.06,          39.28,  +2.46,  +1.91
 13,     UK002D,       0,  0.574741, 2459461.661506700329,  64.08450,   5.28381,              147.87993,  39.71101,       147.87360,       39.72850,     64.08450,      +5.28381,      64.08565,       +5.30191,  3121093.08,  2671942.20,  4970098.97,      50.607220,       -1.069334,   82984.56,  128450.94,   18043.51,            18424.90,  -414.73,  30571.36,           32475.69,    -20.97,     34.86,          65.33,  +2.57,  +2.03

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.