Orbital Analysis for matched events on 20210929_004653.187_UK

Summary for Event
-----------------
shower ID 210 BAU
Lg 92.56° Bg 14.38° Vg 68.65km/s
mass 0.00198g, abs. mag 1.5
Path Details
------------
start -0.48° 53.04° 112.80km
end   -0.78° 52.99° 95.83km

Orbit Details
-------------
Semimajor axis 7.53A.U., eccentricity 0.87, inclination 155.06°, Period 20.68Y, LA Sun 185.81°, last Perihelion 2001-02-01

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: 2459486.532560042106
Time: 2021-09-29 00:46:53.187638 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003U and UK003X
 Convergence angle = 50.74170 deg
 R.A. =  93.07437  Dec = +37.88974 deg

Best intersection: Stations UK003U and UK003X with Qconv = 50.74 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3692634.86 +/- 38.49 m
 Y =   1289683.77 +/- 101.17 m
 Z =   5163116.31 +/- 88.74 m
 Vx =    -3040.80 +/- 142.24 m/s
 Vy =    54699.94 +/- 316.11 m/s
 Vz =    42834.05 +/- 268.28 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.334482e+03, +3.289221e+03, +2.835483e+03, +3.027780e+03, +5.945807e+03, +5.900320e+03
+3.289221e+03, +9.472054e+03, +7.885361e+03, +6.793941e+03, +1.870382e+04, +1.725573e+04
+2.835483e+03, +7.885361e+03, +6.893406e+03, +6.115776e+03, +1.495968e+04, +1.472364e+04
+3.027780e+03, +6.793941e+03, +6.115776e+03, +1.729992e+04, +1.531882e+04, +1.511196e+04
+5.945807e+03, +1.870382e+04, +1.495968e+04, +1.531882e+04, +8.954796e+04, +7.562935e+04
+5.900320e+03, +1.725573e+04, +1.472364e+04, +1.511196e+04, +7.562935e+04, +6.732492e+04

Timing offsets (from input data):
    UK000Z: 0.000000 s
    UK003U: 0.000000 s
    UK003X: 0.000329 s

Reference point on the trajectory:
  Time: 2021-09-29 00:46:53.187638 UTC
  Lon     = +-0.476730 +/- 0.0012 deg
  Lat     = +53.035721 +/- 0.0001 deg
  Lat geo = +52.853871 +/- 0.0001 deg
  Ht      =  112819.12 +/- 111.48 m

  JD dynamic   = 2459486.533360783011 
  LST apparent = 19.2521843485 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  93.18183 +/- 0.1644 deg
  Dec       = +38.02064 +/- 0.0454 deg
  Azimuth   =  75.47442 +/- 0.0926 deg
  Elevation = +38.55593 +/- 0.1172 deg
  Vavg      =  69.33220 +/- 0.1307 km/s
  Vinit     =  69.54198 +/- 0.3651 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  93.26399 +/- 0.1644 deg
  Dec       = +37.88195 +/- 0.0454 deg
  Azimuth   =  75.54941 +/- 0.0926 deg
  Elevation = +38.41456 +/- 0.1172 deg
  Vavg      =  69.54837 +/- 0.1307 km/s
  Vinit     =  69.75814 +/- 0.3651 km/s
Radiant (geocentric, J2000):
  R.A.   =  93.14367 +/- 0.1667 deg
  Dec    = +37.78828 +/- 0.0471 deg
  Vg     =  68.65140 +/- 0.3700 km/s
  Vinf   =  69.54198 +/- 0.3651 km/s
  Zc     =  51.48990 +/- 0.1174 deg
  Zg     =  51.84601 +/- 0.1204 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  92.56429 +/- 0.1368 deg
  Bg     = +14.37856 +/- 0.0451 deg
  Vh     =  40.66006 +/- 0.3721 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.20433 +/- 0.2351 deg
  Bh     = +24.79280 +/- 0.0899 deg
  Vh_x   =  -0.51259 +/- 0.1495 km/s
  Vh_y   = -36.90887 +/- 0.3554 km/s
  Vh_z   = -17.05031 +/- 0.1254 km/s
Orbit:
  La Sun = 185.808115 +/- -0.0000 deg
  a      =   7.534592 +/- 0.9532 AU
  e      =   0.868593 +/- 0.0332
  i      = 155.061736 +/- 0.0907 deg
  peri   = 192.896885 +/- 0.4554 deg
  node   = 185.806959 +/- 0.0000 deg
  Pi     =  18.703844 +/- 0.4554 deg
  q      =   0.990097 +/- 0.0007 AU
  f      = 347.100648 +/- 0.4554 deg
  M      = 359.546933 +/- 0.2349 deg
  Q      =  14.079088 +/- 1.9065 AU
  n      =   0.047656 +/- 0.0220 deg/day
  T      =  20.681893 +/- 3.3858 years
  Last perihelion JD = 2451941.847427 (2001-02-01 08:20:17.712177) +/- 1236.8233 days
  Tj     =  -0.390568 +/- 0.1846
Shower association:
  IAU No.  =  210
  IAU code =  BAU

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.249401e-03, -1.234797e-06, -4.613909e+01, -4.321878e-09, -8.410785e-05, +4.293960e-05
q   , -1.234797e-06, +4.289373e-07, +1.186468e-01, -2.346277e-11, -4.373530e-06, +2.338660e-07
Tp  , -4.613909e+01, +1.186468e-01, +1.840897e+06, +1.765192e-04, +2.328197e+00, -1.751645e+00
node, -4.321878e-09, -2.346277e-11, +1.765192e-04, +2.865716e-14, +5.853942e-10, -2.845626e-10
peri, -8.410785e-05, -4.373530e-06, +2.328197e+00, +5.853942e-10, +5.215311e-05, -5.823777e-06
i   , +4.293960e-05, +2.338660e-07, -1.751645e+00, -2.845626e-10, -5.823777e-06, +2.825733e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 12.629049
 a2 = 8.531317

Mean time residuals from time vs. length:
  Station with reference time: UK003U
  Avg. res. = 3.492e-05 s
  Stddev    = 5.91e-03 s

Begin point on the trajectory:
  Lon =    -0.477132 +/- 0.0012 deg
  Lat =    53.035658 +/- 0.0001 deg
  Ht  = 112796.53 +/- 111.42 m
End point on the trajectory:
  Lon =    -0.781740 +/- 0.0009 deg
  Lat =    52.987909 +/- 0.0001 deg
  Ht  = 95828.97 +/- 81.91 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
    UK000Z,    True,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   107366.07,    97882.03,          0.065751,       nan,       nan,              19.09, 0.0000,    True,   False, {"ff_name": "FF_UK000Z_20210929_004646_073_0572416.fits"}
    UK003U,   False,    -1.740490,    53.069201,  240.00,   8.172928,  10.641939,   112796.53,    95828.97,          0.007593,     15.97,      6.94,              19.08, 1.0000,    True,    True, {"ff_name": "FF_UK003U_20210929_004651_429_0569344.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,   109105.69,    96767.42,          0.009793,     10.73,     35.88,              29.17, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20210929_004650_937_0569344.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,     UK000Z,       1,  0.110743, 2459486.532561324071,  67.46231,  38.33435,               93.33646,  53.32709,        93.49746,       53.22261,     67.46231,     +38.33435,      67.48529,      +38.19339,  3693017.66,  1282797.85,  5157724.14,      53.020508,       -0.574316,  107366.07,  133144.47,       0.00,             8754.31,  1016.65,      0.00,           60190.00,    129.54,    303.67,         511.46,  +4.75,  +4.13
  1,     UK000Z,       1,  0.150583, 2459486.532561785076,  67.10523,  38.25615,               93.73998,  53.49078,        93.85196,       53.41735,     67.10523,     +38.25615,      67.12231,      +38.15780,  3693100.49,  1281307.70,  5156557.24,      53.017202,       -0.595513,  106186.92,  131360.95,    1894.48,            10648.79,   140.58,  47552.18,           60190.00,     89.67,    209.00,         357.10,  +3.88,  +3.29
  2,     UK000Z,       1,  0.190359, 2459486.532562245149,  66.57453,  38.11298,               94.37880,  53.71622,        94.39240,       53.70714,     66.57453,     +38.11298,      66.57748,      +38.10096,  3693221.31,  1279134.30,  5154855.31,      53.012371,       -0.626360,  104467.72,  128768.83,    4657.60,            13411.92,   137.60,  69467.07,           60190.00,     10.86,     25.01,          43.68,  +1.22,  +0.67
  3,     UK000Z,       1,  0.230123, 2459486.532562705688,  66.08538,  38.04212,               94.89368,  53.96318,        94.88733,       53.96746,     66.08538,     +38.04212,      66.08529,      +38.04774,  3693326.48,  1277242.51,  5153373.90,      53.008158,       -0.653240,  102971.84,  126517.91,    7062.70,            15817.01,  -222.57,  60484.29,           60190.00,     -5.00,    -11.50,          20.45,  +1.75,  +1.24
  4,     UK000Z,       1,  0.269819, 2459486.532563164830,  65.47436,  37.97620,               95.51358,  54.28591,        95.51129,       54.28747,     65.47436,     +37.97620,      65.47509,      +37.97823,  3693452.25,  1274980.02,  5151602.20,      53.003109,       -0.685363,  101183.55,  123835.25,    9939.09,            18693.40,  -106.72,  72460.36,           62976.97,     -1.77,     -4.07,           7.40,  +2.17,  +1.71
  5,     UK000Z,       1,  0.309543, 2459486.532563624904,  64.91606,  37.90827,               96.09582,  54.57533,        96.09153,       54.57828,     64.91606,     +37.90827,      64.91658,      +37.91207,  3693562.89,  1272989.88,  5150043.78,      52.998658,       -0.713648,   99611.16,  121482.38,   12469.21,            21223.53,  -339.08,  63692.72,           63876.63,     -3.26,     -7.50,          13.89,  +1.89,  +1.47
  6,     UK000Z,       1,  0.349231, 2459486.532564084046,  64.27825,  37.82658,               96.77342,  54.90270,        96.76643,       54.90756,     64.27825,     +37.82658,      64.27840,      +37.83280,  3693684.60,  1270800.48,  5148329.32,      52.993751,       -0.744757,   97882.03,  118903.40,   15252.68,            24006.99,  -315.60,  70133.59,           64867.32,     -5.21,    -12.00,          22.70,  +1.26,  +0.88
  0,     UK003U,       0,  0.000000, 2459486.532560042106,  69.03543,  38.34557,               92.00656,  52.39015,        92.01822,       52.38262,     69.03543,     +38.34557,      69.03694,      +38.33528,  3692636.45,  1289655.26,  5163093.99,      53.035658,       -0.477132,  112796.53,  141371.65,       0.00,               36.25,    -0.14,      0.00,           69285.44,     10.20,     23.45,          37.32,  +3.06,  +2.31
  1,     UK003U,       0,  0.040044, 2459486.532560505439,  68.53078,  38.30166,               92.48067,  52.66487,        92.49276,       52.65702,     68.53078,     +38.30166,      68.53258,      +38.29100,  3692765.41,  1287335.45,  5161277.41,      53.030544,       -0.510009,  110958.66,  138578.37,    2949.26,             2985.51,   164.38,  73650.48,           69285.44,     10.36,     23.83,          38.67,  +2.35,  +1.64
  2,     UK003U,       0,  0.080100, 2459486.532560969237,  68.05589,  38.24090,               92.95491,  52.91071,        92.94769,       52.91545,     68.05589,     +38.24090,      68.05520,      +38.24728,  3692882.93,  1285221.46,  5159622.00,      53.025874,       -0.539993,  109284.55,  136038.37,    5636.84,             5673.09,    66.39,  67095.68,           69285.44,     -6.11,    -14.02,          23.18,  +1.84,  +1.17
  3,     UK003U,       0,  0.120136, 2459486.532561432570,  67.55346,  38.20548,               93.42386,  53.18926,        93.43084,       53.18466,     67.55346,     +38.20548,      67.55499,      +38.19931,  3693001.69,  1283085.07,  5157949.05,      53.021144,       -0.570302,  107593.37,  133477.74,    8352.91,             8389.16,    -1.72,  67840.66,           69285.44,      5.77,     13.28,          22.38,  +1.76,  +1.13
  4,     UK003U,       0,  0.160188, 2459486.532561895903,  67.01531,  38.14322,               93.96152,  53.47167,        93.95947,       53.47303,     67.01531,     +38.14322,      67.01567,      +38.14504,  3693125.04,  1280866.13,  5156211.46,      53.016221,       -0.601786,  105837.57,  130825.43,   11173.93,            11210.18,    34.01,  70433.93,           69297.72,     -1.67,     -3.83,           6.59,  +1.54,  +0.96
  5,     UK003U,       0,  0.200232, 2459486.532562359702,  66.45348,  38.09151,               94.51088,  53.77481,        94.51718,       53.77060,     66.45348,     +38.09151,      66.45533,      +38.08595,  3693248.30,  1278648.77,  5154475.10,      53.011291,       -0.633257,  104083.75,  128182.55,   13992.94,            14029.19,    68.27,  70397.75,           69458.37,      5.01,     11.54,          20.24,  +1.90,  +1.36
  6,     UK003U,       0,  0.240292, 2459486.532562823035,  65.91568,  38.01605,               95.07523,  54.04781,        95.06342,       54.05580,     65.91568,     +38.01605,      65.91470,      +38.02652,  3693362.73,  1276590.45,  5152863.28,      53.006704,       -0.662492,  102456.37,  125735.95,   16609.76,            16646.01,  -100.76,  65322.54,           69072.46,     -9.27,    -21.30,          38.10,  +2.82,  +2.32
  7,     UK003U,       0,  0.280324, 2459486.532563286368,  65.34847,  37.97494,               95.62607,  54.36037,        95.64074,       54.35038,     65.34847,     +37.97494,      65.35219,      +37.96194,  3693477.44,  1274527.01,  5151247.46,      53.002096,       -0.691807,  100825.58,  123290.66,   19233.08,            19269.33,  -261.34,  65530.57,           68616.65,     11.26,     25.96,          47.35,  +2.41,  +1.96
  8,     UK003U,       0,  0.320388, 2459486.532563750166,  64.72465,  37.88613,               96.29525,  54.67520,        96.29478,       54.67552,     64.72465,     +37.88613,      64.72591,      +37.88655,  3693600.31,  1272316.71,  5149516.63,      52.997150,       -0.723206,   99079.43,  120680.47,   22043.12,            22079.36,  -237.43,  70138.68,           68505.43,     -0.35,     -0.82,           1.52,  +2.12,  +1.71
  9,     UK003U,       0,  0.360440, 2459486.532564213965,  64.13371,  37.81275,               96.92190,  54.97987,        96.92214,       54.97970,     64.13371,     +37.81275,      64.13526,      +37.81254,  3693711.66,  1270313.58,  5147948.04,      52.992658,       -0.751686,   97497.57,  118322.59,   24589.76,            24626.01,  -476.08,  63583.49,           68180.31,      0.18,      0.42,           0.79,  +1.61,  +1.24
 10,     UK003U,       0,  0.400504, 2459486.532564677764,  63.48667,  37.72438,               97.62639,  55.30746,        97.62272,       55.31004,     63.48667,     +37.72438,      63.48762,      +37.72765,  3693829.17,  1268199.77,  5146292.77,      52.987909,       -0.781740,   95828.97,  115843.85,   27277.13,            27313.37,  -574.85,  67076.72,           67952.79,     -2.67,     -6.16,          11.95,  +1.79,  +1.47
 11,     UK003U,       1,  0.440508, 2459486.532565140631,  62.84650,  37.69478,               98.25468,  55.66891,        98.31376,       55.62698,     62.84650,     +37.69478,      62.86033,      +37.64207,  3693938.58,  1266231.60,  5144751.55,      52.983477,       -0.809741,   94275.91,  113544.34,   29779.33,            29815.58,  -854.60,  62548.91,           67613.97,     42.03,     97.47,         192.83,  +3.27,  +2.99
  0,     UK003X,       0,  0.085425, 2459486.532561026048, 131.08188,  52.74097,               38.99978,  28.26261,        39.00625,       28.25092,    131.08188,     +52.74097,     131.08748,      +52.72836,  3692895.48,  1284995.56,  5159445.10,      53.025375,       -0.543200,  109105.69,  223890.20,       0.00,             5960.29,   -16.72,      0.00,           67151.28,     48.69,     14.55,          46.82,  +3.09,  +1.34
  1,     UK003X,       0,  0.125589, 2459486.532561491244, 131.64116,  52.81108,               38.65458,  28.09893,        38.65358,       28.10071,    131.64116,     +52.81108,     131.64091,      +52.81302,  3693011.93,  1282900.81,  5157804.76,      53.020736,       -0.572924,  107447.54,  221579.94,    2663.13,             8623.42,  -146.68,  66306.39,           67151.28,     -7.39,     -2.21,           7.18,  +2.10,  +0.37
  2,     UK003X,       0,  0.165761, 2459486.532561955974, 132.24827,  52.88913,               38.27856,  27.92484,        38.27198,       27.93656,    132.24827,     +52.88913,     132.24402,      +52.90187,  3693135.67,  1280674.89,  5156061.70,      53.015796,       -0.604507,  105686.28,  219134.44,    5493.02,            11453.31,  -110.43,  70444.30,           67151.28,    -47.94,    -14.36,          47.10,  +2.04,  +0.34
  3,     UK003X,       0,  0.205897, 2459486.532562420703, 132.79797,  52.98987,               37.91669,  27.79240,        37.92115,       27.78448,    132.79797,     +52.98987,     132.80208,      +52.98123,  3693247.29,  1278667.00,  5154489.38,      53.011331,       -0.633022,  104098.15,  216936.07,    8045.72,            14006.01,  -348.86,  63601.42,           67151.28,     32.14,      9.60,          31.89,  +3.51,  +1.83
  4,     UK003X,       1,  0.246197, 2459486.532562886830, 133.83313,  53.09497,               37.29605,  27.48245,        37.28415,       27.50331,    133.83313,     +53.09497,     133.82613,      +53.11785,  3693445.77,  1275096.71,  5151693.58,      53.003369,       -0.683614,  101275.83,  213051.98,   12584.75,            18545.04,  1387.63, 112630.99,           76034.18,    -83.28,    -24.97,          84.17,  +6.14,  +4.50
  5,     UK003X,       0,  0.366637, 2459486.532564281020, 135.55654,  53.33757,               36.21577,  27.03350,        36.21965,       27.02680,    135.55654,     +53.33757,     135.56038,      +53.33017,  3693763.08,  1269388.67,  5147223.77,      52.990581,       -0.764786,   96767.42,  206889.81,   19841.59,            25801.88,   268.83,  60252.71,           72038.04,     26.06,      7.78,          27.12,  +2.58,  +1.00

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.