Orbital Analysis for matched events on 20210929_222013.158_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 72.67° Bg 53.29° Vg 48.86km/s
mass 0.01247g, abs. mag 0.7
Path Details
------------
start -1.17° 54.74° 105.72km
end   -1.22° 54.69° 95.40km

Orbit Details
-------------
Semimajor axis 11.87A.U., eccentricity 0.92, inclination 85.53°, Period 40.89Y, LA Sun 186.69°, last Perihelion 1980-12-01

Full details below
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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459487.430707853753
Time: 2021-09-29 22:20:13.190831 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000P and UK000Y
 Convergence angle = 46.16522 deg
 R.A. =  48.77371  Dec = +73.80666 deg
Intersection 2 - Stations: UK000P and UK002X
 Convergence angle = 0.55223 deg
 R.A. =  37.49103  Dec = +27.37756 deg
Intersection 3 - Stations: UK000P and UK004B
 Convergence angle = 2.46720 deg
 R.A. =  47.67722  Dec = +72.45661 deg
Intersection 4 - Stations: UK000Y and UK002X
 Convergence angle = 46.54455 deg
 R.A. =  47.08095  Dec = +73.52214 deg
Intersection 5 - Stations: UK000Y and UK004B
 Convergence angle = 48.63172 deg
 R.A. =  48.52739  Dec = +73.76668 deg
Intersection 6 - Stations: UK002X and UK004B
 Convergence angle = 2.11643 deg
 R.A. =  62.90206  Dec = +82.74986 deg

Best intersection: Stations UK000Y and UK004B with Qconv = 48.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3582746.42 +/- 116.04 m
 Y =  -1110893.10 +/- 68.04 m
 Z =   5271301.51 +/- 104.99 m
 Vx =     9043.47 +/- 733.63 m/s
 Vy =    10066.86 +/- 509.70 m/s
 Vz =    48241.53 +/- 628.21 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.036406e+04, +5.291474e+03, +1.296019e+03, +6.148770e+04, +3.493720e+04, +9.293266e+03
+5.291474e+03, +3.603831e+03, +1.154866e+03, +3.036586e+04, +2.191930e+04, +5.378510e+03
+1.296019e+03, +1.154866e+03, +1.289130e+04, +3.621372e+03, -1.596066e+04, +1.419335e+03
+6.148770e+04, +3.036586e+04, +3.621372e+03, +3.950963e+05, +2.201137e+05, +5.151800e+04
+3.493720e+04, +2.191930e+04, -1.596066e+04, +2.201137e+05, +1.983678e+05, +4.116473e+04
+9.293266e+03, +5.378510e+03, +1.419335e+03, +5.151800e+04, +4.116473e+04, +3.966610e+04

Timing offsets (from input data):
    UK000P: 0.000312 s
    UK000Y: -2.095463 s
    UK002X: -0.096596 s
    UK004B: -0.053621 s

Reference point on the trajectory:
  Time: 2021-09-29 22:20:13.190831 UTC
  Lon     = +-1.174493 +/- 0.0015 deg
  Lat     = +54.743252 +/- 0.0008 deg
  Lat geo = +54.564616 +/- 0.0008 deg
  Ht      =  105715.16 +/- 108.99 m

  JD dynamic   = 2459487.431508968119 
  LST apparent = 342.7730372440 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.06536 +/- 1.2439 deg
  Dec       = +74.33047 +/- 0.8565 deg
  Azimuth   =  27.89012 +/- 1.6397 deg
  Elevation = +58.36351 +/- 0.3532 deg
  Vavg      =  48.50592 +/- 0.1447 km/s
  Vinit     =  50.10361 +/- 0.4318 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.54070 +/- 1.2439 deg
  Dec       = +74.05672 +/- 0.8565 deg
  Azimuth   =  28.41461 +/- 1.6397 deg
  Elevation = +58.23803 +/- 0.3532 deg
  Vavg      =  48.57373 +/- 0.1447 km/s
  Vinit     =  50.17142 +/- 0.4318 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.98084 +/- 1.3052 deg
  Dec    = +74.25660 +/- 0.8620 deg
  Vg     =  48.85851 +/- 0.4427 km/s
  Vinf   =  50.10361 +/- 0.4318 km/s
  Zc     =  31.79447 +/- 0.3549 deg
  Zg     =  32.20508 +/- 0.3640 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  72.66914 +/- 1.0702 deg
  Bg     = +53.28785 +/- 0.6761 deg
  Vh     =  41.19089 +/- 0.2799 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 352.80386 +/- 2.4690 deg
  Bh     = +71.97593 +/- 0.9104 deg
  Vh_x   = -12.64475 +/- 0.7307 km/s
  Vh_y   =   1.59654 +/- 0.5229 km/s
  Vh_z   = -39.16952 +/- 0.1816 km/s
Orbit:
  La Sun = 186.690267 +/- -0.0000 deg
  a      =  11.869849 +/- 10.4801 AU
  e      =   0.923549 +/- 0.0237
  i      =  85.534639 +/- 0.6514 deg
  peri   = 216.461468 +/- 1.8286 deg
  node   = 186.690622 +/- 0.0000 deg
  Pi     =  43.152090 +/- 1.8286 deg
  q      =   0.907458 +/- 0.0104 AU
  f      = 323.537152 +/- 1.8286 deg
  M      = 359.405661 +/- 0.2626 deg
  Q      =  22.832240 +/- 20.9670 AU
  n      =   0.024101 +/- 0.0103 deg/day
  T      =  40.894832 +/- 84.2878 years
  Last perihelion JD = 2444574.994263 (1980-12-01 11:51:44.356581) +/- 30786.2514 days
  Tj     =   0.528624 +/- 0.1437
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.576150e-04, -8.836874e-05, -2.972289e+02, -1.828330e-09, +2.212517e-04, +7.530046e-05
q   , -8.836874e-05, +8.546604e-05, +9.791674e+01, +1.665282e-09, -2.722702e-04, -6.812284e-05
Tp  , -2.972289e+02, +9.791674e+01, +4.203826e+08, +2.628403e-03, -2.621888e+02, -1.083374e+02
node, -1.828330e-09, +1.665282e-09, +2.628403e-03, +5.750484e-14, -5.231263e-09, -2.359831e-09
peri, +2.212517e-04, -2.722702e-04, -2.621888e+02, -5.231263e-09, +8.814194e-04, +2.138663e-04
i   , +7.530046e-05, -6.812284e-05, -1.083374e+02, -2.359831e-09, +2.138663e-04, +9.684681e-05

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

Mean time residuals from time vs. length:
  Station with reference time: UK002X
  Avg. res. = 1.080e-06 s
  Stddev    = 1.04e-03 s

Begin point on the trajectory:
  Lon =    -1.174493 +/- 0.0014 deg
  Lat =    54.743252 +/- 0.0008 deg
  Ht  = 105715.16 +/- 64.26 m
End point on the trajectory:
  Lon =    -1.220937 +/- 0.0007 deg
  Lat =    54.693517 +/- 0.0007 deg
  Ht  = 95399.82 +/- 48.93 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
    UK000P,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   105068.87,    95519.11,          0.019392,      4.74,     53.78,              48.79, 0.5659,    True,    True, {"ff_name": "FF_UK000P_20210929_222008_419_0347136.fits"}
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.000239,  57.573992,   102637.22,    95834.57,          0.017681,     47.02,     45.65,              30.99, 0.2651,    True,    True, {"ff_name": "FF_UK000Y_20210929_222010_853_0356608.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   105533.18,    95724.75,          0.021742,      5.32,     59.98,              48.79, 0.5659,    True,    True, {"ff_name": "FF_UK002X_20210929_222012_881_0153856.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.000000,   0.000000,   105715.16,    95399.82,          0.016281,      5.14,     49.28,              38.96, 0.3954,    True,    True, {"ff_name": "FF_UK004B_20210929_222008_269_0364800.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,     UK000P,       0,  0.011424, 2459487.430707982276,  37.31072,  25.17779,              102.41042,  39.46388,       102.40010,       39.45669,     37.31072,     +25.17779,      37.32255,      +25.17708,  3582609.40, -1111045.62,  5270570.62,      54.740142,       -1.177250,  105068.87,  163371.81,       0.00,              759.10,   473.08,      0.00,           46566.86,     30.48,     -2.69,          38.63,  +3.78,  +2.71
  1,     UK000P,       0,  0.051512, 2459487.430708446074,  37.28330,  24.78842,              102.74657,  39.17303,       102.73937,       39.16803,     37.28330,     +24.78842,      37.29170,      +24.78793,  3582345.99, -1111338.85,  5269165.46,      54.734161,       -1.182887,  103826.41,  162419.24,    1459.40,             2218.50,   -76.07,  36404.91,           46566.86,     21.17,     -1.87,          26.99,  +1.87,  +0.82
  2,     UK000P,       0,  0.091628, 2459487.430708910339,  37.20777,  24.15712,              103.31477,  38.71698,       103.28382,       38.69560,     37.20777,     +24.15712,      37.24338,      +24.15499,  3581924.54, -1111807.99,  5266917.27,      54.724586,       -1.191808,  101838.72,  160915.95,    3794.37,             4553.46,   248.94,  58205.35,           46566.86,     90.26,     -7.96,         116.14,  +1.63,  +0.60
  3,     UK000P,       0,  0.131748, 2459487.430709375069,  37.20067,  23.70053,              103.67758,  38.35923,       103.67136,       38.35495,     37.20067,     +23.70053,      37.20824,      +23.70010,  3581626.17, -1112140.12,  5265325.65,      54.717803,       -1.198173,  100431.63,  159861.39,    5447.42,             6206.52,  -108.16,  41202.86,           46566.86,     18.04,     -1.59,          23.36,  +1.28,  +0.26
  4,     UK000P,       0,  0.171856, 2459487.430709839333,  37.13054,  23.11721,              104.19265,  37.93459,       104.16366,       37.91474,     37.13054,     +23.11721,      37.16407,      +23.11523,  3581248.43, -1112560.61,  5263310.63,      54.709211,       -1.206188,   98650.41,  158543.24,    7540.21,             8299.31,   -24.92,  52178.88,           47540.64,     83.49,     -7.36,         109.04,  +1.06,  +0.06
  5,     UK000P,       0,  0.211996, 2459487.430710303597,  37.10003,  22.52805,              104.66988,  37.48143,       104.65296,       37.46989,     37.10003,     +22.52805,      37.12000,      +22.52690,  3580874.65, -1112976.69,  5261316.74,      54.700705,       -1.214121,   96888.02,  157255.43,    9611.07,            10370.17,    34.77,  51590.82,           48397.90,     48.40,     -4.27,          63.73,  +1.26,  +0.28
  6,     UK000P,       0,  0.252100, 2459487.430710767861,  37.07093,  22.06429,              105.04639,  37.12631,       105.03481,       37.11844,     37.07093,     +22.06429,      37.08500,      +22.06350,  3580584.30, -1113299.89,  5259767.90,      54.694093,       -1.220321,   95519.11,  156264.87,   11219.69,            11978.79,  -365.96,  40111.22,           47816.32,     32.97,     -2.91,          43.69,  +1.67,  +0.70
  0,     UK000Y,       0,  0.082062, 2459487.430709064472, 140.33717,  63.18140,               10.92205,  27.50378,        10.89567,       27.51079,    140.33717,     +63.18140,     140.38383,      +63.19407,  3582093.85, -1111619.52,  5267820.45,      54.728433,       -1.188347,  102637.22,  215589.32,       0.00,             3615.42,  -209.81,      0.00,           51197.62,    -64.00,    -65.92,          87.91,  +2.43,  +0.76
  1,     UK000Y,       0,  0.122354, 2459487.430709530599, 140.77590,  62.91330,               10.78058,  27.19455,        10.78520,       27.19332,    140.77590,     +62.91330,     140.76838,      +62.91110,  3581664.31, -1112097.66,  5265529.14,      54.718670,       -1.197437,  100611.53,  213557.64,    2379.75,             5995.17,   151.17,  59062.61,           51197.62,     11.15,     11.46,          15.44,  +1.66,  +0.01
  2,     UK000Y,       0,  0.162606, 2459487.430709996726, 141.09331,  62.66728,               10.69020,  26.92048,        10.69026,       26.92046,    141.09331,     +62.66728,     141.09392,      +62.66725,  3581301.59, -1112501.43,  5263594.23,      54.710421,       -1.205140,   98901.10,  211847.38,    4389.35,             8004.77,   143.99,  49925.37,           51197.62,      0.16,      0.16,           0.22,  +1.39,  -0.24
  3,     UK000Y,       0,  0.202838, 2459487.430710462388, 141.32945,  62.42796,               10.63649,  26.66197,        10.60346,       26.67074,    141.32945,     +62.42796,     141.38775,      +62.44354,  3580974.71, -1112865.30,  5261850.52,      54.702982,       -1.212099,   97359.80,  210310.50,    6200.37,             9815.79,   -60.75,  45014.50,           51197.62,    -78.75,    -81.10,         110.87,  +1.74,  +0.13
  4,     UK000Y,       0,  0.243070, 2459487.430710928049, 141.67737,  62.21830,               10.51667,  26.41994,        10.51665,       26.41994,    141.67737,     +62.21830,     141.67847,      +62.21831,  3580651.21, -1113225.41,  5260124.84,      54.695617,       -1.218989,   95834.57,  208793.87,    7992.66,            11608.08,  -284.24,  44548.77,           49208.21,     -0.06,     -0.06,           0.08,  +1.65,  +0.05
  0,     UK002X,       0,  0.000000, 2459487.430707853753,  37.33386,  25.32146,              102.27374,  39.56368,       102.27374,       39.56368,     37.33386,     +25.32146,      37.33382,      +25.32146,  3582707.84, -1110936.05,  5271095.71,      54.742377,       -1.175160,  105533.18,  163728.92,       0.00,              213.74,   500.13,      0.00,           46403.15,      0.00,     -0.00,           0.00,  +3.87,  +2.80
  1,     UK002X,       0,  0.040348, 2459487.430708320811,  37.31118,  24.89379,              102.63701,  39.24037,       102.64678,       39.24715,     37.31118,     +24.89379,      37.30012,      +24.89446,  3582417.79, -1111258.92,  5269548.48,      54.735792,       -1.181351,  104165.07,  162678.12,    1606.95,             1820.69,    85.50,  39827.30,           46403.15,    -28.75,      2.55,          36.59,  +3.01,  +1.95
  2,     UK002X,       0,  0.080744, 2459487.430708788335,  37.27580,  24.40553,              103.05659,  38.87530,       103.06877,       38.88372,     37.27580,     +24.40553,      37.26220,      +24.40636,  3582090.87, -1111622.84,  5267804.54,      54.728365,       -1.188309,  102623.15,  161505.79,    3418.21,             3631.95,  -127.23,  44837.44,           46403.15,    -35.60,      3.15,          45.65,  +1.73,  +0.69
  3,     UK002X,       0,  0.121240, 2459487.430709256791,  37.23724,  23.79448,              103.57071,  38.41336,       103.59003,       38.42666,     37.23724,     +23.79448,      37.21572,      +23.79580,  3581688.65, -1112070.57,  5265658.95,      54.719224,       -1.196833,  100726.28,  160081.75,    5646.62,             5860.36,    72.19,  55027.95,           46403.15,    -56.07,      4.97,          72.54,  +1.38,  +0.36
  4,     UK002X,       0,  0.161684, 2459487.430709724780,  37.21470,  23.25031,              104.01237,  37.99372,       104.04841,       38.01841,     37.21470,     +23.25031,      37.17445,      +23.25275,  3581336.69, -1112462.35,  5263781.49,      54.711219,       -1.204313,   99066.62,  158849.87,    7596.55,             7810.29,    -4.28,  48213.07,           47577.06,   -103.93,      9.22,         135.48,  +1.26,  +0.26
  5,     UK002X,       0,  0.202148, 2459487.430710193235,  37.16300,  22.67607,              104.49909,  37.56474,       104.52788,       37.58438,     37.16300,     +22.67607,      37.13124,      +22.67802,  3580970.06, -1112870.47,  5261825.73,      54.702877,       -1.212098,   97337.90,  157582.44,    9627.79,             9841.53,    -0.42,  50198.84,           48287.05,    -82.47,      7.31,         108.38,  +1.53,  +0.54
  6,     UK002X,       0,  0.242584, 2459487.430710661225,  37.10865,  22.13224,              104.96027,  37.15987,       104.97725,       37.17141,     37.10865,     +22.13224,      37.09046,      +22.13339,  3580627.92, -1113251.34,  5260000.57,      54.695086,       -1.219376,   95724.75,  156413.68,   11523.40,            11737.14,  -130.80,  46879.24,           48389.59,    -48.37,      4.28,          64.03,  +1.69,  +0.72
  0,     UK004B,       0,  0.002541, 2459487.430708227213, 210.62377,  66.78455,              339.26197,  35.41786,       339.23525,       35.43596,    210.62377,     +66.78455,     210.69509,      +66.78822,  3582746.42, -1110893.10,  5271301.51,      54.743252,       -1.174493,  105715.16,  179431.82,       0.00,                0.00,   159.07,      0.00,           49153.61,    -88.19,      9.19,         101.93,  +4.23,  +2.96
  1,     UK004B,       0,  0.042689, 2459487.430708691943, 210.80930,  66.41915,              338.94672,  35.14819,       338.94242,       35.15110,    210.80930,     +66.41915,     210.82087,      +66.41973,  3582413.45, -1111263.75,  5269525.32,      54.735693,       -1.181575,  104144.59,  177993.78,    1844.75,             1844.75,    -7.74,  45948.73,           49153.61,    -14.10,      1.48,          16.43,  +2.97,  +1.72
  2,     UK004B,       0,  0.082869, 2459487.430709157139, 210.96372,  65.99322,              338.60517,  34.82109,       338.60630,       34.82033,    210.96372,     +65.99322,     210.96120,      +65.99306,  3582034.31, -1111685.80,  5267502.84,      54.727080,       -1.189617,  102356.41,  176365.16,    3945.29,             3945.29,    79.64,  52278.35,           49153.61,      3.69,     -0.39,           4.34,  +2.34,  +1.11
  3,     UK004B,       0,  0.123049, 2459487.430709621869, 211.08852,  65.59245,              338.29308,  34.50909,       338.29308,       34.50910,    211.08852,     +65.59245,     211.08912,      +65.59245,  3581684.83, -1112074.83,  5265638.56,      54.719137,       -1.197044,  100708.26,  174873.16,    5881.53,             5881.53,     2.72,  48189.05,           49153.61,     -0.02,      0.00,           0.02,  +1.72,  +0.51
  4,     UK004B,       0,  0.163241, 2459487.430710087065, 211.20546,  65.16388,              337.96730,  34.17191,       337.96137,       34.17590,    211.20546,     +65.16388,     211.22116,      +65.16464,  3581318.07, -1112483.09,  5263682.13,      54.710796,       -1.204830,   98978.79,  173316.74,    7913.47,             7913.47,    20.90,  50555.96,           49441.91,    -19.02,      1.99,          22.76,  +1.73,  +0.54
  5,     UK004B,       0,  0.203421, 2459487.430710552260, 211.35430,  64.73784,              337.63027,  33.84416,       337.63283,       33.84245,    211.35430,     +64.73784,     211.34888,      +64.73751,  3580958.46, -1112883.39,  5261763.82,      54.702612,       -1.212469,   97283.18,  171800.43,    9905.83,             9905.83,     0.09,  49585.72,           49544.79,      8.15,     -0.86,           9.83,  +1.94,  +0.76
  6,     UK004B,       0,  0.243657, 2459487.430711017922, 211.41517,  64.25060,              337.29393,  33.44455,       337.26456,       33.46414,    211.41517,     +64.25060,     211.48799,      +64.25429,  3580558.99, -1113328.07,  5259632.89,      54.693517,       -1.220937,   95399.82,  170127.23,   12119.01,            12119.01,   197.31,  55005.09,           50167.47,    -92.65,      9.68,         112.94,  +2.29,  +1.14
  7,     UK004B,       1,  0.283761, 2459487.430711482186, 211.56606,  63.96657,              337.04742,  33.23814,       337.04609,       33.23903,    211.56606,     +63.96657,     211.57055,      +63.96673,  3580325.83, -1113587.61,  5258389.13,      54.688205,       -1.225950,   94300.60,  169157.88,   13410.78,            13410.78,  -520.28,  32210.44,           48933.48,     -4.19,      0.44,           5.14,  +6.12,  +4.98

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.