Orbital Analysis for matched events on 20210929_031733.809_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 7.30° Bg 10.32° Vg 25.66km/s
mass 0.47239g, abs. mag -1.1
Path Details
------------
start 1.08° 51.20° 87.49km
end   1.27° 51.24° 77.92km

Orbit Details
-------------
Semimajor axis 3.68A.U., eccentricity 0.86, inclination 8.97°, Period 7.07Y, LA Sun 185.91°, last Perihelion 2014-10-16

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: 2459486.637196864467
Time: 2021-09-29 03:17:33.809090 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002N
 Convergence angle = 6.28459 deg
 R.A. =   4.83554  Dec = +14.65000 deg

Best intersection: Stations UK002C and UK002N with Qconv = 6.28 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2115896.05 +/- 178.82 m
 Y =   3464442.96 +/- 278.59 m
 Z =   5015787.61 +/- 136.03 m
 Vx =    26976.79 +/- 602.30 m/s
 Vy =     2114.64 +/- 827.66 m/s
 Vz =     7038.37 +/- 552.30 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.232925e+04, -4.856182e+04, -2.351731e+04, +7.771110e+04, -1.013013e+05, -4.690678e+04
-4.856182e+04, +7.691758e+04, +3.691206e+04, -1.218536e+05, +1.602303e+05, +7.212182e+04
-2.351731e+04, +3.691206e+04, +1.834604e+04, -5.785338e+04, +7.555892e+04, +3.555551e+04
+7.771110e+04, -1.218536e+05, -5.785338e+04, +3.270232e+05, -4.059846e+05, -1.798561e+05
-1.013013e+05, +1.602303e+05, +7.555892e+04, -4.059846e+05, +5.128301e+05, +2.261358e+05
-4.690678e+04, +7.212182e+04, +3.555551e+04, -1.798561e+05, +2.261358e+05, +1.061500e+05

Timing offsets (from input data):
    UK002C: 0.003068 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 03:17:33.809090 UTC
  Lon     = ++1.084345 +/- 0.0042 deg
  Lat     = +51.200867 +/- 0.0004 deg
  Lat geo = +51.015349 +/- 0.0003 deg
  Ht      =   87477.49 +/- 197.57 m

  JD dynamic   = 2459486.637997605372 
  LST apparent = 58.5856515115 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   4.48211 +/- 1.7335 deg
  Dec       = +14.57994 +/- 0.9574 deg
  Azimuth   = 250.05475 +/- 0.9269 deg
  Elevation = +33.48644 +/- 1.7672 deg
  Vavg      =  26.79128 +/- 0.3852 km/s
  Vinit     =  27.95993 +/- 0.4054 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   4.85289 +/- 1.7335 deg
  Dec       = +14.70438 +/- 0.9574 deg
  Azimuth   = 249.80364 +/- 0.9269 deg
  Elevation = +33.80343 +/- 1.7672 deg
  Vavg      =  26.55981 +/- 0.3852 km/s
  Vinit     =  27.72846 +/- 0.4054 km/s
Radiant (geocentric, J2000):
  R.A.   =   2.54732 +/- 1.7391 deg
  Dec    = +12.36221 +/- 0.9703 deg
  Vg     =  25.65572 +/- 0.4429 km/s
  Vinf   =  27.95993 +/- 0.4054 km/s
  Zc     =  56.45045 +/- 1.7700 deg
  Zg     =  59.09339 +/- 1.7875 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =   7.29873 +/- 1.9681 deg
  Bg     = +10.32079 +/- 0.2467 deg
  Vh     =  39.11792 +/- 0.9355 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 317.36126 +/- 0.3018 deg
  Bh     =  +6.75134 +/- 0.2081 deg
  Vh_x   = -28.57713 +/- 0.5758 km/s
  Vh_y   =  26.31370 +/- 0.7727 km/s
  Vh_z   =  -4.59873 +/- 0.0716 km/s
Orbit:
  La Sun = 185.910862 +/- nan deg
  a      =   3.683521 +/- 0.8126 AU
  e      =   0.856219 +/- 0.0348
  i      =   8.974408 +/- 0.3141 deg
  peri   = 271.246377 +/- 3.8906 deg
  node   = 185.916843 +/- 0.0001 deg
  Pi     =  97.163220 +/- 3.8905 deg
  q      =   0.529620 +/- 0.0194 AU
  f      = 268.749469 +/- 3.8905 deg
  M      = 354.062831 +/- 3.3068 deg
  Q      =   6.837421 +/- 1.6071 AU
  n      =   0.139415 +/- 0.0696 deg/day
  T      =   7.069607 +/- 2.2527 years
  Last perihelion JD = 2456947.005253 (2014-10-16 12:07:33.854991) +/- 824.0206 days
  Tj     =   2.271465 +/- 0.3958
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.156471e-03, +6.147107e-04, -2.729582e+01, +6.567393e-08, -2.178939e-03, -1.476532e-04
q   , +6.147107e-04, +3.389544e-04, -1.404393e+01, +3.678068e-08, -1.192094e-03, -8.345207e-05
Tp  , -2.729582e+01, -1.404393e+01, +6.887285e+05, -1.463253e-03, +4.994802e+01, +3.266850e+00
node, +6.567393e-08, +3.678068e-08, -1.463253e-03, +5.195815e-12, -1.290535e-07, -1.177573e-08
peri, -2.178939e-03, -1.192094e-03, +4.994802e+01, -1.290535e-07, +4.201209e-03, +2.922146e-04
i   , -1.476532e-04, -8.345207e-05, +3.266850e+00, -1.177573e-08, +2.922146e-04, +2.674507e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.089902
 a2 = 14.008915

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 2.368e-05 s
  Stddev    = 4.87e-03 s

Begin point on the trajectory:
  Lon =     1.084127 +/- 0.0041 deg
  Lat =    51.200817 +/- 0.0003 deg
  Ht  = 87488.35 +/- 199.05 m
End point on the trajectory:
  Lon =     1.274096 +/- 0.0047 deg
  Lat =    51.244539 +/- 0.0003 deg
  Ht  = 77919.63 +/- 186.46 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
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.002965,  20.000045,    87166.55,    78339.05,          0.016789,     66.02,      5.41,             115.55, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210929_031728_753_0798720.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.202934,  12.537972,    87488.35,    77919.63,          0.016851,     45.56,      7.89,             106.21, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210929_031733_478_0805888.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,     UK002C,       0,  0.014833, 2459486.637196984142, 128.76461,  15.00136,               93.59671,  22.20188,        93.58632,       22.20619,    128.76461,     +15.00136,     128.76934,      +15.01086,  2115352.27,  3464400.34,  5015645.74,      51.202289,       +1.090538,   87166.55,  221679.45,       0.00,              563.60,   188.63,      0.00,           26928.41,      3.33,     40.64,          37.94,  +5.28,  +3.55
  1,     UK002C,       0,  0.095161, 2459486.637197914068, 129.17225,  14.82249,               93.39652,  21.81109,        93.39538,       21.81157,    129.17225,     +14.82249,     129.17311,      +14.82353,  2113514.70,  3464256.30,  5015166.31,      51.207091,       +1.111286,   86116.02,  222542.92,    1904.53,             2468.14,  -152.80,  23709.46,           26928.41,      0.37,      4.49,           4.18,  +3.16,  +1.42
  2,     UK002C,       0,  0.135385, 2459486.637198379263, 129.44713,  14.69314,               93.26762,  21.54084,        93.26557,       21.54169,    129.44713,     +14.69314,     129.44857,      +14.69502,  2112252.42,  3464157.35,  5014836.97,      51.210389,       +1.125607,   85394.59,  223147.42,    3212.82,             3776.42,    30.83,  32525.01,           26928.41,      0.67,      8.12,           7.53,  +2.62,  +0.88
  3,     UK002C,       0,  0.175569, 2459486.637198844459, 129.68118,  14.59745,               93.14787,  21.32173,        93.15809,       21.31750,    129.68118,     +14.59745,     129.67714,      +14.58808,  2111198.00,  3464074.70,  5014561.87,      51.213143,       +1.137547,   84792.09,  223655.11,    4305.66,             4869.26,     0.13,  27195.94,           26928.41,     -3.34,    -40.56,          37.53,  +2.66,  +0.91
  4,     UK002C,       0,  0.215777, 2459486.637199309655, 129.90455,  14.45509,               93.06885,  21.07355,        93.04607,       21.08299,    129.90455,     +14.45509,     129.91590,      +14.47600,  2110090.51,  3463987.88,  5014272.92,      51.216035,       +1.150099,   84159.37,  224193.31,    5453.51,             6017.12,    23.77,  28547.89,           27376.37,      7.42,     90.69,          83.72,  +2.62,  +0.87
  5,     UK002C,       0,  0.255973, 2459486.637199775316, 130.15309,  14.35019,               92.94396,  20.83828,        92.93196,       20.84325,    130.15309,     +14.35019,     130.15965,      +14.36121,  2108953.29,  3463898.74,  5013976.22,      51.219003,       +1.162998,   83509.81,  224750.90,    6632.18,             7195.78,    78.55,  29322.87,           27761.71,      3.93,     47.96,          44.16,  +2.76,  +1.00
  6,     UK002C,       0,  0.296165, 2459486.637200240511, 130.36330,  14.22525,               92.86325,  20.61155,        92.82879,       20.62583,    130.36330,     +14.22525,     130.38046,      +14.25693,  2107916.81,  3463817.49,  5013705.79,      51.221708,       +1.174742,   82917.90,  225262.21,    7706.43,             8270.03,    29.04,  26728.08,           27829.17,     11.29,    138.21,         126.98,  +2.28,  +0.52
  7,     UK002C,       0,  0.336337, 2459486.637200705241, 130.58157,  14.13350,               92.75331,  20.40515,        92.72913,       20.41517,    130.58157,     +14.13350,     130.59416,      +14.15574,  2106908.19,  3463738.43,  5013442.64,      51.224339,       +1.186170,   82342.00,  225763.21,    8751.81,             9315.41,   -48.79,  26022.49,           27729.13,      7.96,     97.29,          89.18,  +1.97,  +0.20
  8,     UK002C,       0,  0.376513, 2459486.637201170437, 130.82194,  14.04751,               92.62194,  20.18936,        92.62255,       20.18911,    130.82194,     +14.04751,     130.82317,      +14.04696,  2105821.55,  3463653.25,  5013159.13,      51.227174,       +1.198499,   81721.68,  226307.87,    9878.05,            10441.65,   -45.86,  28032.73,           27697.01,     -0.20,     -2.42,           2.22,  +2.14,  +0.37
  9,     UK002C,       0,  0.416709, 2459486.637201635633, 131.04234,  13.91866,               92.53575,  19.95316,        92.51558,       19.96151,    131.04234,     +13.91866,     131.05346,      +13.93724,  2104722.52,  3463567.10,  5012872.39,      51.230039,       +1.210974,   81094.40,  226863.13,   11017.13,            11580.74,   -30.66,  28338.24,           27711.68,      6.70,     81.77,          74.59,  +2.03,  +0.25
 10,     UK002C,       0,  0.456921, 2459486.637202100828, 131.30696,  13.80304,               92.40551,  19.69947,        92.39492,       19.70385,    131.30696,     +13.80304,     131.31377,      +13.81279,  2103472.89,  3463469.14,  5012546.36,      51.233297,       +1.225187,   80381.35,  227501.16,   12312.31,            12875.91,   140.19,  32208.59,           27909.47,      3.54,     43.08,          39.19,  +1.95,  +0.17
 11,     UK002C,       0,  0.497085, 2459486.637202565558, 131.51323,  13.71151,               92.30494,  19.50061,        92.30080,       19.50232,    131.51323,     +13.71151,     131.51719,      +13.71533,  2102489.73,  3463392.08,  5012289.84,      51.235859,       +1.236337,   79820.43,  228004.63,   13331.29,            13894.90,    36.19,  25370.66,           27935.63,      1.39,     16.90,          15.34,  +2.27,  +0.48
 12,     UK002C,       0,  0.537253, 2459486.637203030754, 131.70659,  13.60450,               92.22511,  19.29793,        92.20874,       19.30469,    131.70659,     +13.60450,     131.71648,      +13.61961,  2101521.47,  3463316.18,  5012037.22,      51.238381,       +1.247318,   79268.09,  228503.57,   14334.84,            14898.45,   -83.35,  24983.85,           27859.86,      5.50,     67.02,          60.70,  +2.89,  +1.10
 13,     UK002C,       0,  0.577361, 2459486.637203495018, 131.86586,  13.56105,               92.12894,  19.16521,        92.14145,       19.16005,    131.86586,     +13.56105,     131.86230,      +13.54950,  2100808.87,  3463260.32,  5011851.30,      51.240238,       +1.255358,   78861.60,  228869.92,   15073.42,            15637.02,  -466.19,  18414.64,           27554.82,     -4.24,    -51.35,          46.44,  +4.79,  +2.99
 14,     UK002C,       0,  0.617529, 2459486.637203959748, 132.03710,  13.44068,               92.07559,  18.96604,        92.05535,       18.97440,    132.03710,     +13.44068,     132.04919,      +13.45938,  2099892.58,  3463188.49,  5011612.23,      51.242624,       +1.265746,   78339.05,  229346.69,   16023.10,            16586.70,  -639.60,  23642.78,           27259.78,      6.83,     83.32,          75.19,  +4.99,  +3.19
  0,     UK002N,       0,  0.000000, 2459486.637196864467, 122.38308,  24.33516,               92.45955,  33.83995,        92.42775,       33.84995,    122.38308,     +24.33516,     122.39660,      +24.36055,  2115915.04,  3464444.45,  5015792.57,      51.200817,       +1.084127,   87488.35,  154674.16,       0.00,               19.67,    59.44,      0.00,           27439.40,     12.98,     75.12,         101.67,  +4.11,  +3.16
  1,     UK002N,       0,  0.040204, 2459486.637197330128, 122.74716,  24.18011,               92.29702,  33.49948,        92.27169,       33.50743,    122.74716,     +24.18011,     122.75817,      +24.20038,  2114903.06,  3464365.13,  5015528.54,      51.203463,       +1.095566,   86909.71,  154991.59,    1048.86,             1029.18,   -55.15,  26088.40,           27439.40,     10.40,     60.16,          81.25,  +2.53,  +1.58
  2,     UK002N,       0,  0.080460, 2459486.637197795790, 123.23572,  23.99344,               92.06124,  33.05798,        92.06818,       33.05581,    123.23572,     +23.99344,     123.23300,      +23.98788,  2113565.50,  3464260.28,  5015179.56,      51.206959,       +1.110746,   86145.07,  155423.98,    2435.16,             2415.48,   205.59,  34437.08,           27439.40,     -2.88,    -16.59,          22.35,  +2.32,  +1.36
  3,     UK002N,       0,  0.120632, 2459486.637198260985, 123.48498,  23.84600,               91.98341,  32.79457,        91.95509,       32.80345,    123.48498,     +23.84600,     123.49779,      +23.86876,  2112812.09,  3464201.22,  5014982.99,      51.208927,       +1.119225,   85714.44,  155668.06,    3216.03,             3196.36,  -136.74,  19438.23,           27439.40,     11.76,     68.03,          91.48,  +2.19,  +1.23
  4,     UK002N,       0,  0.160856, 2459486.637198726181, 123.90441,  23.67956,               91.78573,  32.41073,        91.78149,       32.41206,    123.90441,     +23.67956,     123.90690,      +23.68298,  2111643.43,  3464109.61,  5014678.09,      51.211980,       +1.132474,   85046.59,  156058.93,    4427.28,             4407.60,   -50.15,  30112.57,           27408.21,      1.78,     10.25,          13.76,  +1.98,  +1.01
  5,     UK002N,       0,  0.201060, 2459486.637199191842, 124.28460,  23.52849,               91.60664,  32.06253,        91.62520,       32.05673,    124.28460,     +23.52849,     124.27717,      +23.51352,  2110577.27,  3464026.04,  5014399.92,      51.214764,       +1.144550,   84437.44,  156421.83,    5532.30,             5512.62,   -69.23,  27485.29,           27410.31,     -7.83,    -45.10,          60.36,  +1.34,  +0.37
  6,     UK002N,       0,  0.241292, 2459486.637199657504, 124.67102,  23.34312,               91.45004,  31.68521,        91.46164,       31.68158,    124.67102,     +23.34312,     124.66680,      +23.33373,  2109447.25,  3463937.46,  5014105.09,      51.217714,       +1.157364,   83791.93,  156814.50,    6703.50,             6683.82,   -22.92,  29111.18,           27593.39,     -4.92,    -28.37,          37.88,  +1.08,  +0.10
  7,     UK002N,       0,  0.281540, 2459486.637200123165, 125.05500,  23.14115,               91.30823,  31.29707,        91.29699,       31.30058,    125.05500,     +23.14115,     125.06118,      +23.15026,  2108294.52,  3463847.10,  5013804.34,      51.220722,       +1.170443,   83133.59,  157223.10,    7898.23,             7878.56,    46.49,  29684.30,           27844.07,      4.79,     27.64,          36.80,  +1.03,  +0.05
  8,     UK002N,       0,  0.321764, 2459486.637200588826, 125.42935,  22.96520,               91.15292,  30.93385,        91.14136,       30.93746,    125.42935,     +22.96520,     125.43588,      +22.97459,  2107190.54,  3463760.56,  5013516.31,      51.223603,       +1.182966,   82503.21,  157621.36,    9042.45,             9022.78,    66.05,  28446.28,           28001.18,      4.95,     28.60,          37.99,  +0.94,  -0.05
  9,     UK002N,       0,  0.361952, 2459486.637201054022, 125.80138,  22.82816,               90.96847,  30.60051,        90.99458,       30.59236,    125.80138,     +22.82816,     125.79095,      +22.80693,  2106136.28,  3463677.92,  5013241.25,      51.226353,       +1.194921,   81901.34,  158007.90,   10135.13,            10115.45,    35.07,  27189.04,           28036.88,    -11.28,    -64.94,          86.04,  +0.64,  -0.35
 10,     UK002N,       0,  0.402168, 2459486.637201519217, 126.14895,  22.65557,               90.83115,  30.25624,        90.85018,       30.25030,    126.14895,     +22.65557,     126.14185,      +22.64005,  2105086.63,  3463595.64,  5012967.39,      51.229090,       +1.206827,   81302.21,  158399.13,   11223.03,            11203.36,    -1.46,  27051.53,           28011.57,     -8.27,    -47.63,          62.95,  +0.66,  -0.34
 11,     UK002N,       0,  0.442384, 2459486.637201984879, 126.51082,  22.48485,               90.68083,  29.90427,        90.70242,       29.89753,    126.51082,     +22.48485,     126.50265,      +22.46722,  2103999.38,  3463510.41,  5012683.72,      51.231925,       +1.219169,   80681.74,  158811.44,   12349.91,            12330.24,     0.98,  28020.67,           27997.32,     -9.44,    -54.32,          71.61,  +0.75,  -0.25
 12,     UK002N,       0,  0.482600, 2459486.637202450074, 126.84020,  22.30649,               90.56164,  29.56686,        90.56451,       29.56597,    126.84020,     +22.30649,     126.84084,      +22.30414,  2102972.34,  3463429.91,  5012415.76,      51.234601,       +1.230823,   80095.73,  159206.58,   13414.38,            13394.70,   -58.99,  26468.73,           27938.32,     -1.26,     -7.26,           9.55,  +0.79,  -0.22
 13,     UK002N,       0,  0.522788, 2459486.637202915270, 127.15903,  22.15455,               90.42987,  29.25539,        90.43545,       29.25365,    127.15903,     +22.15455,     127.15857,      +22.14998,  2102000.25,  3463353.71,  5012162.14,      51.237134,       +1.241846,   79541.17,  159585.55,   14421.89,            14402.22,  -175.13,  25070.04,           27819.34,     -2.46,    -14.19,          18.61,  +0.87,  -0.14
 14,     UK002N,       0,  0.563004, 2459486.637203380931, 127.49332,  21.97979,               90.30340,  28.91731,        90.29812,       28.91895,    127.49332,     +21.97979,     127.49811,      +21.98412,  2100954.23,  3463271.71,  5011889.23,      51.239859,       +1.253725,   78944.55,  160000.07,   15506.03,            15486.36,  -215.43,  26957.93,           27720.47,      2.34,     13.50,          17.66,  +1.38,  +0.36
 15,     UK002N,       0,  0.603176, 2459486.637203845661, 127.74790,  21.83446,               90.21625,  28.65070,        90.19169,       28.65836,    127.74790,     +21.83446,     127.76196,      +21.85464,  2100134.89,  3463207.49,  5011675.46,      51.241993,       +1.262996,   78477.25,  160326.80,   16355.23,            16335.56,  -489.43,  21139.08,           27509.32,     10.91,     63.05,          82.32,  +1.89,  +0.86
 16,     UK002N,       0,  0.643364, 2459486.637204310857, 128.06285,  21.68323,               90.08624,  28.34188,        90.06590,       28.34822,    128.06285,     +21.68323,     128.07513,      +21.69997,  2099156.96,  3463130.83,  5011420.31,      51.244539,       +1.274096,   77919.63,  160723.67,   17368.80,            17349.13,  -599.52,  25220.71,           27319.55,      9.09,     52.47,          68.34,  +2.88,  +1.85

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.