Orbital Analysis for matched events on 20210929_233740.008_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 88.40° Bg 53.92° Vg 49.31km/s
mass 0.03988g, abs. mag -0.4
Path Details
------------
start 0.14° 52.65° 103.06km
end   0.09° 52.58° 91.57km

Orbit Details
-------------
Semimajor axis 5.55A.U., eccentricity 0.82, inclination 88.55°, Period 13.08Y, LA Sun 186.74°, last Perihelion 2008-09-11

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: 2459487.484490837436
Time: 2021-09-29 23:37:40.048869 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0035
 Convergence angle = 50.59586 deg
 R.A. =  84.73632  Dec = +76.99999 deg

Best intersection: Stations UK002K and UK0035 with Qconv = 50.60 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3932513.20 +/- 21.36 m
 Y =    241087.25 +/- 15.85 m
 Z =   5130848.84 +/- 24.30 m
 Vx =     1085.38 +/- 88.41 m/s
 Vy =    10958.37 +/- 101.17 m/s
 Vz =    49330.65 +/- 63.35 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.883985e+02, -2.474074e+02, +3.036361e+02, +1.621303e+03, -8.715811e+02, +1.015382e+03
-2.474074e+02, +2.696021e+02, -2.672365e+02, -1.183368e+03, +1.249751e+03, -9.678042e+02
+3.036361e+02, -2.672365e+02, +6.325163e+02, +1.060166e+03, -1.379353e+03, +1.022714e+03
+1.621303e+03, -1.183368e+03, +1.060166e+03, +8.318364e+03, -5.748385e+03, +5.360507e+03
-8.715811e+02, +1.249751e+03, -1.379353e+03, -5.748385e+03, +7.307599e+03, -5.071124e+03
+1.015382e+03, -9.678042e+02, +1.022714e+03, +5.360507e+03, -5.071124e+03, +4.049902e+03

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK002K: -0.000047 s
    UK0035: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 23:37:40.048869 UTC
  Lon     = ++0.145742 +/- 0.0002 deg
  Lat     = +52.662670 +/- 0.0001 deg
  Lat geo = +52.479921 +/- 0.0001 deg
  Ht      =  104327.13 +/- 28.09 m

  JD dynamic   = 2459487.485292047262 
  LST apparent = 3.5081929996 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  84.34353 +/- 0.4781 deg
  Dec       = +77.41628 +/- 0.0995 deg
  Azimuth   =  20.86288 +/- 0.1431 deg
  Elevation = +52.84699 +/- 0.1161 deg
  Vavg      =  50.23230 +/- 0.0294 km/s
  Vinit     =  50.54481 +/- 0.0450 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  84.57564 +/- 0.4781 deg
  Dec       = +77.10277 +/- 0.0995 deg
  Azimuth   =  21.36508 +/- 0.1431 deg
  Elevation = +52.75360 +/- 0.1161 deg
  Vavg      =  50.29487 +/- 0.0294 km/s
  Vinit     =  50.60738 +/- 0.0450 km/s
Radiant (geocentric, J2000):
  R.A.   =  85.69281 +/- 0.4759 deg
  Dec    = +77.33767 +/- 0.1030 deg
  Vg     =  49.31072 +/- 0.0462 km/s
  Vinf   =  50.54481 +/- 0.0450 km/s
  Zc     =  37.32383 +/- 0.1159 deg
  Zg     =  37.80214 +/- 0.1184 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  88.39794 +/- 0.1733 deg
  Bg     = +53.92393 +/- 0.1062 deg
  Vh     =  40.14535 +/- 0.0974 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 354.63592 +/- 0.5966 deg
  Bh     = +83.12670 +/- 0.1148 deg
  Vh_x   =  -4.78332 +/- 0.0874 km/s
  Vh_y   =   0.44913 +/- 0.0522 km/s
  Vh_z   = -39.85683 +/- 0.0887 km/s
Orbit:
  La Sun = 186.743109 +/- -0.0000 deg
  a      =   5.551515 +/- 0.2277 AU
  e      =   0.822322 +/- 0.0087
  i      =  88.551656 +/- 0.0818 deg
  peri   = 194.901694 +/- 0.1732 deg
  node   = 186.743814 +/- 0.0000 deg
  Pi     =  21.645509 +/- 0.1732 deg
  q      =   0.986382 +/- 0.0004 AU
  f      = 345.097186 +/- 0.1732 deg
  M      = 359.164687 +/- 0.0592 deg
  Q      =  10.116648 +/- 0.4557 AU
  n      =   0.075351 +/- 0.0058 deg/day
  T      =  13.080306 +/- 0.7721 years
  Last perihelion JD = 2454720.905952 (2008-09-11 09:44:34.288452) +/- 281.9509 days
  Tj     =   0.967159 +/- 0.0440
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.156387e-05, -2.845130e-06, -2.631289e+00, +2.450949e-10, +1.799296e-05, -1.257336e-05
q   , -2.845130e-06, +1.717343e-07, +9.174595e-02, -6.094665e-12, -1.277066e-06, +3.131544e-07
Tp  , -2.631289e+00, +9.174595e-02, +8.532734e+04, -7.922522e-06, -5.796065e-01, +4.064493e-01
node, +2.450949e-10, -6.094665e-12, -7.922522e-06, +8.319708e-16, +3.208208e-11, -4.266120e-11
peri, +1.799296e-05, -1.277066e-06, -5.796065e-01, +3.208208e-11, +9.788619e-06, -1.650207e-06
i   , -1.257336e-05, +3.131544e-07, +4.064493e-01, -4.266120e-11, -1.650207e-06, +2.187562e-06

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: UK0035
  Avg. res. = 3.235e-06 s
  Stddev    = 1.80e-03 s

Begin point on the trajectory:
  Lon =     0.140762 +/- 0.0002 deg
  Lat =    52.654723 +/- 0.0001 deg
  Ht  = 103058.07 +/- 21.13 m
End point on the trajectory:
  Lon =     0.094461 +/- 0.0002 deg
  Lat =    52.582605 +/- 0.0001 deg
  Ht  = 91571.72 +/- 16.77 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
    UK002F,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   102026.26,    90879.76,          0.091003,       nan,       nan,              23.61, 0.0000,    True,    True, {"ff_name": "FF_UK002F_20210929_233735_525_0453120.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   102920.46,    91681.03,          0.009957,     10.15,     23.12,              75.78, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210929_233738_794_0480768.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,   0.000037,  44.209998,   103058.07,    91571.72,          0.005853,     11.79,      3.69,              65.27, 1.0000,    True,    True, {"ff_name": "FF_UK0035_20210929_233733_967_0487936.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,     UK002F,       1,  0.059307, 2459487.484491523821,  96.12549,  53.26124,               48.49043,  37.17699,        48.59084,       37.25535,     96.12549,     +53.26124,      95.93970,      +53.24911,  3932451.20,   240461.32,  5128031.12,      52.648259,       +0.136633,  102026.26,  166173.43,       0.00,             2887.07,   227.97,      0.00,           48240.95,   -137.02,    294.38,         403.05,  +4.32,  +3.22
  1,     UK002F,       1,  0.099467, 2459487.484491988551,  96.13445,  52.99792,               48.74095,  37.00543,        48.82136,       37.06812,     96.13445,     +52.99792,      95.98666,      +52.98831,  3932411.79,   240063.38,  5126239.77,      52.639091,       +0.130724,  100563.73,  164498.56,    1835.43,             4722.51,    33.52,  45703.00,           48240.95,   -108.92,    233.44,         323.00,  +2.42,  +1.34
  2,     UK002F,       1,  0.139639, 2459487.484492453746,  96.16274,  52.72006,               48.99491,  36.81499,        49.06451,       36.86916,     96.16274,     +52.72006,      96.03579,      +52.71181,  3932370.88,   239650.37,  5124380.52,      52.629571,       +0.124597,   99045.93,  162764.16,    3740.45,             6627.52,   -91.94,  47421.52,           48240.95,    -93.42,    199.96,         279.70,  +2.14,  +1.08
  3,     UK002F,       1,  0.179847, 2459487.484492918942,  96.22596,  52.41083,               49.26038,  36.58739,        49.33550,       36.64568,     96.22596,     +52.41083,      96.09001,      +52.40197,  3932326.10,   239198.23,  5122345.18,      52.619144,       +0.117905,   97384.62,  160870.66,    5825.89,             8712.96,   -38.81,  51866.20,           48240.95,    -99.62,    213.36,         301.92,  +1.80,  +0.77
  4,     UK002F,       1,  0.220071, 2459487.484493384603,  96.30753,  52.08805,               49.52764,  36.34147,        49.61760,       36.41101,     96.30753,     +52.08805,      96.14595,      +52.07749,  3932280.32,   238735.99,  5120264.34,      52.608479,       +0.111067,   95686.41,  158940.01,    7957.94,            10845.01,    60.12,  53004.47,           49530.13,   -117.68,    252.47,         361.49,  +1.62,  +0.61
  5,     UK002F,       1,  0.260259, 2459487.484493849799,  96.33977,  51.78979,               49.79393,  36.13356,        49.87430,       36.19557,     96.33977,     +51.78979,      96.19656,      +51.78043,  3932239.31,   238321.99,  5118400.64,      52.598921,       +0.104925,   94165.61,  157214.56,    9867.50,            12754.58,   -61.61,  47515.80,           49610.41,   -104.14,    223.17,         323.10,  +1.41,  +0.43
  6,     UK002F,       1,  0.300487, 2459487.484494315460,  96.39797,  51.44356,               50.09061,  35.88141,        50.17177,       35.94384,     96.39797,     +51.44356,      96.25457,      +51.43418,  3932192.69,   237851.27,  5116281.63,      52.588047,       +0.097964,   92436.71,  155259.01,   12038.68,            14925.75,    76.25,  53971.68,           50106.79,   -103.87,    222.61,         326.35,  +1.66,  +0.70
  7,     UK002F,       1,  0.340691, 2459487.484494780656,  96.43114,  51.12319,               50.37347,  35.65692,        50.44415,       35.71119,     96.43114,     +51.12319,      96.30736,      +51.11509,  3932150.70,   237427.31,  5114373.11,      52.578249,       +0.091678,   90879.76,  153502.02,   13994.17,            16881.24,    -0.36,  48639.21,           50191.22,    -89.59,    191.77,         284.42,  +2.65,  +1.72
  0,     UK002K,       0,  0.038212, 2459487.484491280280,  17.30347,   8.88037,              160.17859,  43.87349,       160.18421,       43.87526,     17.30347,      +8.88037,      17.29925,       +8.88128,  3932475.30,   240704.59,  5129126.26,      52.653861,       +0.140231,  102920.46,  147192.36,       0.00,             1764.98,   172.13,      0.00,           48531.77,    -10.40,     -4.56,          15.91,  +3.13,  +2.29
  1,     UK002K,       0,  0.078624, 2459487.484491747804,  17.14336,   8.15387,              160.59466,  43.19386,       160.59920,       43.19529,     17.14336,      +8.15387,      17.14012,       +8.15461,  3932433.27,   240280.31,  5127216.29,      52.644089,       +0.133941,  101360.97,  146742.80,    1956.98,             3721.96,    86.49,  48425.69,           48531.77,     -8.47,     -3.71,          13.00,  +1.51,  +0.68
  2,     UK002K,       0,  0.119024, 2459487.484492215328,  16.99408,   7.45426,              160.98089,  42.53721,       160.98991,       42.54005,     16.99408,      +7.45426,      16.98745,       +7.45575,  3932393.10,   239874.66,  5125390.21,      52.634742,       +0.127919,   99870.17,  146336.10,    3828.00,             5592.98,   -84.50,  46312.35,           48531.77,    -16.90,     -7.41,          26.01,  +0.73,  -0.10
  3,     UK002K,       0,  0.159476, 2459487.484492683783,  16.82766,   6.66936,              161.40399,  41.79896,       161.41789,       41.80333,     16.82766,      +6.66936,      16.81724,       +6.67167,  3932348.28,   239422.19,  5123353.34,      52.624310,       +0.121221,   98207.49,  145909.78,    5915.01,             7679.99,   -42.13,  51592.25,           48531.77,    -26.23,    -11.50,          40.49,  +0.58,  -0.24
  4,     UK002K,       0,  0.199932, 2459487.484493151773,  16.65824,   5.88067,              161.82293,  41.05617,       161.83839,       41.06102,     16.65824,      +5.88067,      16.64665,       +5.88325,  3932303.47,   238969.80,  5121316.86,      52.613874,       +0.114525,   96545.36,  145512.29,    8001.61,             9766.59,    -0.36,  51577.08,           49373.69,    -29.35,    -12.88,          45.44,  +0.32,  -0.49
  5,     UK002K,       0,  0.240388, 2459487.484493620228,  16.45941,   5.06699,              162.27684,  40.29280,       162.26469,       40.28900,     16.45941,      +5.06699,      16.47026,       +5.06493,  3932257.22,   238502.79,  5119214.56,      52.603095,       +0.107617,   94829.76,  145132.44,   10155.65,            11920.63,   108.83,  53244.01,           50167.37,     23.23,     10.20,          36.06,  +0.24,  -0.57
  6,     UK002K,       0,  0.280820, 2459487.484494088218,  16.29293,   4.31348,              162.66621,  39.58134,       162.64954,       39.57614,     16.29293,      +4.31348,      16.30771,       +4.31065,  3932214.79,   238074.42,  5117286.18,      52.593203,       +0.101266,   93256.29,  144811.15,   12131.49,            13896.47,    41.05,  48868.21,           50311.50,     32.07,     14.09,          49.89,  +0.31,  -0.49
  7,     UK002K,       0,  0.321260, 2459487.484494556207,  16.13206,   3.55448,              163.04221,  38.86232,       163.02861,       38.85808,     16.13206,      +3.55448,      16.14460,       +3.55215,  3932172.31,   237645.51,  5115355.35,      52.583293,       +0.094908,   91681.03,  144515.86,   14109.84,            15874.82,   -24.63,  48920.73,           50255.63,     26.35,     11.57,          41.07,  +0.95,  +0.15
  0,     UK0035,       1,  0.000000, 2459487.484490837436, 330.39740,  30.88083,              241.64999,  56.97702,       241.61989,       56.98482,    330.39740,     +30.88083,     330.41805,      +30.87684,  3932513.69,   241092.17,  5130871.01,      52.662783,       +0.145983,  104345.23,  123991.30,       0.00,               22.72,   361.27,      0.00,           49287.19,     11.74,     37.51,          65.38,  +4.54,  +4.07
  1,     UK0035,       0,  0.040500, 2459487.484491306357, 330.25089,  30.21048,              241.08201,  56.37045,       241.09797,       56.36633,    330.25089,     +30.21048,     330.24005,      +30.21261,  3932479.01,   240742.03,  5129294.77,      52.654723,       +0.140762,  103058.07,  123319.04,    1615.03,             1592.31,  -116.20,  39877.41,           49287.19,     -6.28,    -20.03,          35.11,  +2.01,  +1.55
  2,     UK0035,       0,  0.081204, 2459487.484491777141, 330.00260,  29.30732,              240.41164,  55.52118,       240.41159,       55.52119,    330.00260,     +29.30732,     330.00297,      +29.30731,  3932432.32,   240270.71,  5127173.06,      52.643868,       +0.133792,  101325.68,  122440.11,    3788.97,             3766.25,     0.36,  53408.49,           49287.19,      0.02,      0.06,           0.11,  +1.16,  +0.72
  3,     UK0035,       0,  0.121912, 2459487.484492248390, 329.76903,  28.39297,              239.74596,  54.66514,       239.74827,       54.66455,    329.76903,     +28.39297,     329.76791,      +28.39328,  3932385.87,   239801.70,  5125061.76,      52.633060,       +0.126854,   99602.05,  121597.89,    5952.23,             5929.51,   106.04,  53140.82,           49287.19,     -0.93,     -2.96,           5.27,  +0.96,  +0.54
  4,     UK0035,       0,  0.162536, 2459487.484492718708, 329.56623,  27.59435,              239.18998,  53.91378,       239.19227,       53.91319,    329.56623,     +27.59435,     329.56529,      +27.59466,  3932345.82,   239397.33,  5123241.45,      52.623737,       +0.120850,   98116.16,  120898.95,    7817.35,             7794.63,   -82.17,  45911.65,           49135.28,     -0.93,     -2.97,           5.30,  +0.64,  +0.23
  5,     UK0035,       0,  0.203248, 2459487.484493189957, 329.34787,  26.67761,              238.56313,  53.05409,       238.57893,       53.05008,    329.34787,     +26.67761,     329.33744,      +26.67979,  3932300.50,   238939.76,  5121181.60,      52.613181,       +0.114078,   96434.98,  120137.38,    9927.89,             9905.17,   -29.41,  51840.88,           49479.04,     -6.46,    -20.63,          37.12,  +0.65,  +0.25
  6,     UK0035,       0,  0.243984, 2459487.484493661206, 329.11122,  25.74466,              237.97251,  52.16703,       237.97756,       52.16575,    329.11122,     +25.74466,     329.10860,      +25.74536,  3932254.80,   238478.36,  5119104.55,      52.602531,       +0.107250,   94739.99,  119402.35,   12056.07,            12033.35,    39.77,  52243.09,           49898.50,     -2.08,     -6.66,          12.06,  +0.59,  +0.20
  7,     UK0035,       0,  0.284724, 2459487.484494132921, 328.87506,  24.81570,              237.41278,  51.27914,       237.40195,       51.28188,    328.87506,     +24.81570,     328.88412,      +24.81418,  3932209.82,   238024.20,  5117060.11,      52.592043,       +0.100526,   93071.84,  118711.85,   14150.83,            14128.11,    75.34,  51417.83,           50200.00,      4.52,     14.45,          26.30,  +0.73,  +0.36
  8,     UK0035,       0,  0.325392, 2459487.484494603705, 328.67902,  23.96758,              236.90088,  50.47486,       236.89805,       50.47558,    328.67902,     +23.96758,     328.68245,      +23.96718,  3932169.36,   237615.74,  5115221.36,      52.582605,       +0.094461,   91571.72,  118119.77,   16034.83,            16012.11,   -96.22,  46326.37,           50082.37,      1.19,      3.81,           6.98,  +1.04,  +0.68
  9,     UK0035,       1,  0.366040, 2459487.484495074023, 328.44948,  23.17583,              236.49686,  49.69773,       236.43835,       49.71245,    328.44948,     +23.17583,     328.49423,      +23.16749,  3932131.54,   237233.89,  5113502.38,      52.573777,       +0.088781,   90169.47,  117591.31,   17796.12,            17773.40,  -389.48,  43330.22,           49654.56,     24.80,     79.55,         146.17,  +6.07,  +5.72

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.