Orbital Analysis for matched events on 20211111_224757.253_UK

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Summary for Event
-----------------
shower ID 18 AND (Andromedids)
Lg 32.22° Bg 18.66° Vg 16.20km/s
mass 0.07444g, abs. mag 0.9
best visual mag 1.1
Path Details
------------
start 1.29° 51.39° 95.07km
end   1.31° 51.42° 85.53km

Orbit Details
-------------
Semimajor axis 2.62A.U., eccentricity 0.69, inclination 8.51°, Period 4.24Y, LA Sun 229.47°, last Perihelion 2017-09-22

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: 2459530.449968217406
Time: 2021-11-11 22:47:57.253984 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003W and UK004C
 Convergence angle = 6.60169 deg
 R.A. =  27.17377  Dec = +32.15863 deg

Best intersection: Stations UK003W and UK004C with Qconv = 6.60 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3332350.44 +/- 206.47 m
 Y =   2296801.99 +/- 656.20 m
 Z =   5035365.26 +/- 456.05 m
 Vx =    15291.69 +/- 2054.29 m/s
 Vy =     6753.09 +/- 1555.05 m/s
 Vz =    10317.13 +/- 1202.62 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.123452e+04, +1.293416e+05, +8.989980e+04, +9.699992e+04, +2.993305e+05, +2.058634e+05
+1.293416e+05, +4.089034e+05, +2.837853e+05, +3.087256e+05, +9.535498e+05, +6.558040e+05
+8.989980e+04, +2.837853e+05, +1.974892e+05, +2.136319e+05, +6.602908e+05, +4.551181e+05
+9.699992e+04, +3.087256e+05, +2.136319e+05, +2.852752e+05, +7.857698e+05, +5.560104e+05
+2.993305e+05, +9.535498e+05, +6.602908e+05, +7.857698e+05, +2.377699e+06, +1.649980e+06
+2.058634e+05, +6.558040e+05, +4.551181e+05, +5.560104e+05, +1.649980e+06, +1.153016e+06

Timing offsets (from input data):
    UK0004: 0.000000 s
    UK003W: 0.004229 s
    UK004C: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-11 22:47:57.253984 UTC
  Lon     = ++1.293492 +/- 0.0060 deg
  Lat     = +51.394243 +/- 0.0012 deg
  Lat geo = +51.209219 +/- 0.0012 deg
  Ht      =   95079.92 +/- 694.32 m

  JD dynamic   = 2459530.450768958312 
  LST apparent = 34.5763141233 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  23.82713 +/- 3.8567 deg
  Dec       = +31.68220 +/- 0.8530 deg
  Azimuth   = 205.98545 +/- 8.6121 deg
  Elevation = +68.76184 +/- 1.6287 deg
  Vavg      =  19.06049 +/- 1.2456 km/s
  Vinit     =  19.64391 +/- 1.8184 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  24.82411 +/- 3.8567 deg
  Dec       = +31.76284 +/- 0.8530 deg
  Azimuth   = 203.81089 +/- 8.6121 deg
  Elevation = +69.10046 +/- 1.6287 deg
  Vavg      =  19.01582 +/- 1.2456 km/s
  Vinit     =  19.59924 +/- 1.8184 km/s
Radiant (geocentric, J2000):
  R.A.   =  22.75409 +/- 4.1684 deg
  Dec    = +29.63227 +/- 1.2395 deg
  Vg     =  16.20141 +/- 2.1139 km/s
  Vinf   =  19.64391 +/- 1.8184 km/s
  Zc     =  21.07199 +/- 1.6376 deg
  Zg     =  23.11860 +/- 2.0817 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  32.21744 +/- 3.9986 deg
  Bg     = +18.65787 +/- 0.2456 deg
  Vh     =  38.12675 +/- 0.5503 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 342.98453 +/- 3.4413 deg
  Bh     =  +7.81418 +/- 0.7809 deg
  Vh_x   = -36.11924 +/- 0.9367 km/s
  Vh_y   =  11.05342 +/- 2.1601 km/s
  Vh_z   =  -5.18374 +/- 0.6042 km/s
Orbit:
  La Sun = 229.469914 +/- -0.0000 deg
  a      =   2.619829 +/- 0.6365 AU
  e      =   0.694851 +/- 0.0483
  i      =   8.512169 +/- 1.1874 deg
  peri   = 237.958535 +/- 5.6335 deg
  node   = 229.465721 +/- 0.0005 deg
  Pi     = 107.424256 +/- 5.6339 deg
  q      =   0.799438 +/- 0.0451 AU
  f      = 302.045752 +/- 5.6339 deg
  M      = 351.284049 +/- 1.3746 deg
  Q      =   4.440220 +/- 1.3109 AU
  n      =   0.232431 +/- 0.0386 deg/day
  T      =   4.240433 +/- 1.8576 years
  Last perihelion JD = 2458019.104815 (2017-09-22 14:30:56.042250) +/- 677.9660 days
  Tj     =   2.995739 +/- 0.2706
Shower association:
  IAU No.  =   18
  IAU code =  AND

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.476496e-03, -1.491960e-03, -1.503695e+01, +1.535248e-05, +1.898681e-01, +3.803600e-02
q   , -1.491960e-03, +1.677484e-03, +1.337494e+01, -1.732008e-05, -2.216538e-01, -4.133012e-02
Tp  , -1.503695e+01, +1.337494e+01, +1.894217e+05, -1.341455e-01, -1.595587e+03, -3.590826e+02
node, +1.535248e-05, -1.732008e-05, -1.341455e-01, +1.801128e-07, +2.296498e-03, +4.269492e-04
peri, +1.898681e-01, -2.216538e-01, -1.595587e+03, +2.296498e-03, +2.969419e+01, +5.389527e+00
i   , +3.803600e-02, -4.133012e-02, -3.590826e+02, +4.269492e-04, +5.389527e+00, +1.034977e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 78.496507
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK004C
  Avg. res. = 7.876e-06 s
  Stddev    = 2.81e-03 s

Begin point on the trajectory:
  Lon =     1.293521 +/- 0.0060 deg
  Lat =    51.394280 +/- 0.0013 deg
  Ht  = 95068.06 +/- 704.12 m
End point on the trajectory:
  Lon =     1.314374 +/- 0.0023 deg
  Lat =    51.423827 +/- 0.0002 deg
  Ht  = 85531.12 +/- 162.98 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
    UK0004,    True,     0.265784,    50.757315,   55.00,   0.000000,   0.000000,    92643.78,    87076.76,          0.106406,       nan,       nan,              61.80, 0.0000,    True,    True, {"ff_name": "FF_UK0004_20211111_224752_004_0531456.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   0.000014,  32.832989,    89557.14,    85531.12,          0.016758,     26.90,     21.66,              44.56, 1.0000,   False,    True, {"ff_name": "FF_UK003W_20211111_224754_224_0534016.fits"}
    UK004C,   False,     0.467741,    51.567354,   46.00,  58.133983,   0.000000,    95068.06,    85952.97,          0.009514,     14.42,     11.48,              33.93, 1.0000,    True,    True, {"ff_name": "FF_UK004C_20211111_224754_829_0535552.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,     UK0004,       1,  0.100293, 2459530.449969378300, 122.60146,  58.25062,               44.72513,  41.61195,        44.87811,       41.59673,    122.60146,     +58.25062,     122.51052,      +58.14574,  3330315.83,  2295903.48,  5033992.54,      51.401783,       +1.298949,   92643.78,  138222.39,       0.00,             2613.68,   279.92,      0.00,           20446.13,   -146.35,    236.83,         415.45,  +2.52,  +1.82
  1,     UK0004,       1,  0.140513, 2459530.449969843496, 123.07538,  58.12587,               44.68699,  41.33418,        44.82418,       41.32054,    123.07538,     +58.12587,     122.99270,      +58.03173,  3329746.90,  2295652.22,  5033608.68,      51.403893,       +1.300425,   91962.55,  137941.25,     730.87,             3344.55,   220.71,  18171.71,           20446.13,   -131.54,    212.84,         374.13,  +3.15,  +2.45
  2,     UK0004,       1,  0.180749, 2459530.449970309623, 123.61333,  58.00751,               44.61436,  41.03090,        44.76571,       41.01586,    123.61333,     +58.00751,     123.52059,      +57.90357,  3329122.45,  2295376.45,  5033187.37,      51.406208,       +1.302062,   91214.86,  137637.07,    1533.04,             4146.72,   232.49,  19936.69,           20446.13,   -145.42,    235.36,         414.61,  +1.58,  +0.89
  3,     UK0004,       1,  0.221033, 2459530.449970775750, 124.22625,  57.84513,               44.55798,  40.66968,        44.69817,       40.65575,    124.22625,     +57.84513,     124.13884,      +57.74876,  3328388.84,  2295052.48,  5032692.42,      51.408930,       +1.304015,   90336.48,  137285.92,    2475.44,             5089.12,   383.56,  23393.96,           20446.13,   -135.08,    218.61,         386.09,  +1.82,  +1.13
  4,     UK0004,       1,  0.261277, 2459530.449971241411, 124.75133,  57.71140,               44.50004,  40.36256,        44.64041,       40.34862,    124.75133,     +57.71140,     124.66251,      +57.61485,  3327765.44,  2294777.17,  5032271.81,      51.411242,       +1.305651,   89590.04,  136990.93,    3276.27,             5889.95,   393.84,  19899.42,           20614.81,   -135.56,    219.41,         388.32,  +2.34,  +1.66
  5,     UK0004,       1,  0.301441, 2459530.449971706141, 125.17143,  57.64647,               44.40579,  40.14009,        44.59668,       40.12114,    125.17143,     +57.64647,     125.04890,      +57.51511,  3327304.26,  2294573.51,  5031960.67,      51.412954,       +1.306817,   89037.81,  136773.63,    3868.70,             6482.38,   197.29,  14750.23,           19827.03,   -184.56,    298.94,         529.82,  +4.14,  +3.46
  6,     UK0004,       1,  0.341721, 2459530.449972172733, 125.69968,  57.45955,               44.39802,  39.80064,        44.53524,       39.78702,    125.69968,     +57.45955,     125.61064,      +57.36506,  3326631.67,  2294276.48,  5031506.87,      51.415450,       +1.308596,   88232.47,  136463.60,    4732.72,             7346.40,   270.06,  21450.42,           19719.54,   -133.08,    215.42,         382.73,  +2.77,  +2.09
  7,     UK0004,       1,  0.381957, 2459530.449972638395, 126.16416,  57.30455,               44.37761,  39.50659,        44.48163,       39.49627,    126.16416,     +57.30455,     126.09622,      +57.23289,  3326048.30,  2294018.86,  5031113.28,      51.417616,       +1.310117,   87533.95,  136197.69,    5482.13,             8095.81,   229.07,  18625.19,           19583.56,   -101.12,    163.63,         291.32,  +3.93,  +3.26
  8,     UK0004,       1,  0.422121, 2459530.449973103125, 126.44890,  57.18476,               44.38966,  39.31166,        44.44511,       39.30616,    126.44890,     +57.18476,     126.41327,      +57.14655,  3325666.53,  2293850.26,  5030855.71,      51.419033,       +1.311055,   87076.76,  136023.36,    5972.55,             8586.23,   -69.49,  12210.56,           19029.57,    -54.01,     87.34,         155.72,  +5.01,  +4.34
  0,     UK003W,       0,  0.284280, 2459530.449971468188,  88.44923,  35.03518,               90.78673,  47.87142,        90.77468,       47.87509,     88.44923,     +35.03518,      88.45339,      +35.04371,  3327738.01,  2294765.06,  5032253.31,      51.411344,       +1.305648,   89557.14,  119983.39,       0.00,             5925.18,   -22.80,      0.00,           19282.14,     11.65,     14.47,          31.93,  +1.13,  +0.73
  1,     UK003W,       0,  0.324684, 2459530.449971935712,  88.81994,  34.97189,               90.56552,  47.59924,        90.58309,       47.59391,     88.81994,     +34.97189,      88.81686,      +34.95942,  3327102.25,  2294484.30,  5031824.37,      51.413703,       +1.307319,   88795.89,  119487.04,     816.71,             6741.89,     0.22,  20213.54,           19282.14,    -16.99,    -21.10,          46.77,  +1.69,  +1.30
  2,     UK003W,       0,  0.365088, 2459530.449972403236,  89.17608,  34.88434,               90.38357,  47.32034,        90.39622,       47.31650,     89.17608,     +34.88434,      89.17435,      +34.87533,  3326480.62,  2294209.77,  5031404.96,      51.416011,       +1.308950,   88051.55,  119004.93,    1615.27,             7540.45,     5.08,  19764.43,           19282.14,    -12.24,    -15.20,          33.82,  +1.96,  +1.58
  3,     UK003W,       0,  0.405456, 2459530.449972870760,  89.49018,  34.78817,               90.24434,  47.06195,        90.22937,       47.06649,     89.49018,     +34.78817,      89.49575,      +34.79887,  3325924.22,  2293964.06,  5031029.57,      51.418076,       +1.310393,   87385.32,  118575.44,    2330.02,             8255.20,   -73.15,  17705.87,           19282.14,     14.49,     17.99,          40.19,  +2.02,  +1.65
  4,     UK003W,       0,  0.445900, 2459530.449973338749,  89.89277,  34.71771,               90.00728,  46.76505,        90.02711,       46.75905,     89.89277,     +34.71771,      89.88939,      +34.70350,  3325248.19,  2293665.51,  5030573.46,      51.420587,       +1.312182,   86575.85,  118059.03,    3198.46,             9123.64,     0.81,  21472.62,           19579.32,    -19.19,    -23.84,          53.47,  +2.76,  +2.40
  5,     UK003W,       0,  0.486236, 2459530.449973805808,  90.20110,  34.66216,               89.82789,  46.53659,        89.87290,       46.52297,     90.20110,     +34.66216,      90.19111,      +34.62980,  3324731.42,  2293437.29,  5030224.80,      51.422506,       +1.313511,   85957.03,  117665.13,    3862.31,             9787.50,  -127.69,  16458.15,           19219.03,    -43.57,    -54.12,         121.79,  +4.77,  +4.42
  6,     UK003W,       0,  0.526476, 2459530.449974271469,  90.40047,  34.59054,               89.75127,  46.36554,        89.76700,       46.36078,     90.40047,     +34.59054,      90.39842,      +34.57921,  3324375.79,  2293280.25,  5029984.86,      51.423827,       +1.314374,   85531.12,  117392.91,    4319.15,            10244.33,  -461.33,  11352.81,           18251.00,    -15.23,    -18.91,          42.66,  +4.35,  +4.00
  0,     UK004C,       0,  0.000000, 2459530.449968217406,  72.02226,  33.47603,              108.22422,  57.04856,       108.23222,       57.04565,     72.02226,     +33.47603,      72.02105,      +33.47089,  3332340.53,  2296797.62,  5035358.58,      51.394280,       +1.293521,   95068.06,  112894.93,       0.00,               12.73,  -350.88,      0.00,           22383.40,     -6.42,     -8.07,          18.84,  +4.39,  +4.13
  1,     UK004C,       0,  0.040176, 2459530.449968682602,  72.38809,  33.43079,              107.88815,  56.80043,       107.91778,       56.78968,     72.38809,     +33.43079,      72.38367,      +33.41170,  3331602.10,  2296471.51,  5034860.37,      51.397016,       +1.295485,   94183.89,  112166.89,     948.60,              961.32,  -191.49,  23611.09,           22383.40,    -23.73,    -29.81,          70.07,  +2.91,  +2.66
  2,     UK004C,       0,  0.080364, 2459530.449969147332,  72.69965,  33.33726,              107.67482,  56.55004,       107.64206,       56.56189,     72.69965,     +33.33726,      72.70517,      +33.35841,  3330953.13,  2296184.92,  5034422.52,      51.399421,       +1.297191,   93406.84,  111529.02,    1782.27,             1795.00,  -147.27,  20744.27,           22383.40,     26.17,     32.89,          77.74,  +2.53,  +2.29
  3,     UK004C,       0,  0.120532, 2459530.449969612528,  73.07291,  33.30470,              107.31910,  56.30581,       107.33178,       56.30124,     73.07291,     +33.30470,      73.07137,      +33.29648,  3330223.26,  2295862.59,  5033930.08,      51.402127,       +1.299132,   92532.92,  110815.45,    2719.88,             2732.60,     1.28,  23342.19,           22383.40,    -10.11,    -12.70,          30.22,  +2.03,  +1.81
  4,     UK004C,       0,  0.160680, 2459530.449970077258,  73.35445,  33.24533,              107.09701,  56.09684,       107.09314,       56.09824,     73.35445,     +33.24533,      73.35576,      +33.24784,  3329659.65,  2295613.69,  5033549.82,      51.404216,       +1.300593,   91858.07,  110265.29,    3443.89,             3456.62,   -63.37,  18033.65,           21555.31,      3.08,      3.87,           9.25,  +1.62,  +1.41
  5,     UK004C,       0,  0.200844, 2459530.449970541988,  73.66491,  33.18840,              106.84268,  55.87221,       106.83455,       55.87513,     73.66491,     +33.18840,      73.66711,      +33.19369,  3329049.18,  2295344.10,  5033137.94,      51.406480,       +1.302190,   91127.10,  109672.14,    4228.12,             4240.84,   -68.12,  19525.52,           21028.70,      6.46,      8.11,          19.50,  +1.55,  +1.35
  6,     UK004C,       0,  0.241036, 2459530.449971007183,  74.04037,  33.12303,              106.53276,  55.60271,       106.52658,       55.60493,     74.04037,     +33.12303,      74.04243,      +33.12708,  3328322.95,  2295023.38,  5032647.96,      51.409174,       +1.304122,   90257.55,  108970.83,    5161.04,             5173.76,    75.27,  23211.60,           21074.59,      4.90,      6.16,          14.90,  +1.80,  +1.61
  7,     UK004C,       0,  0.281192, 2459530.449971471913,  74.34092,  33.06442,              106.29419,  55.38233,       106.28134,       55.38692,     74.34092,     +33.06442,      74.34431,      +33.07284,  3327742.60,  2294767.09,  5032256.41,      51.411327,       +1.305634,   89562.65,  108411.59,    5906.56,             5919.28,    31.97,  18565.62,           20884.71,     10.16,     12.76,          31.04,  +1.76,  +1.58
  8,     UK004C,       0,  0.321356, 2459530.449971936643,  74.66468,  33.01136,              106.02610,  55.15178,       106.02213,       55.15320,     74.66468,     +33.01136,      74.66672,      +33.01396,  3327129.13,  2294496.17,  5031842.50,      51.413604,       +1.307241,   88828.08,  107823.20,    6694.64,             6707.36,    31.07,  19621.57,           20711.90,      3.13,      3.93,           9.62,  +1.98,  +1.82
  9,     UK004C,       0,  0.361508, 2459530.449972401373,  74.97025,  32.96073,              105.77528,  54.93360,       105.77994,       54.93194,     74.97025,     +32.96073,      74.97093,      +32.95766,  3326554.94,  2294242.60,  5031455.11,      51.415735,       +1.308736,   88140.55,  107274.37,    7432.25,             7444.97,   -20.06,  18370.41,           20496.26,     -3.67,     -4.62,          11.35,  +2.16,  +2.01
 10,     UK004C,       0,  0.401664, 2459530.449972866103,  75.26699,  32.90272,              105.54399,  54.71533,       105.54532,       54.71486,     75.26699,     +32.90272,      75.26843,      +32.90184,  3325998.02,  2293996.65,  5031079.36,      51.417802,       +1.310181,   87473.67,  106743.99,    8147.68,             8160.40,   -93.45,  17816.28,           20256.86,     -1.04,     -1.31,           3.24,  +2.58,  +2.44
 11,     UK004C,       0,  0.441836, 2459530.449973331299,  75.60654,  32.84602,              105.26895,  54.47212,       105.28192,       54.46753,     75.60654,     +32.84602,      75.60600,      +32.83743,  3325373.08,  2293720.66,  5030657.72,      51.420123,       +1.311823,   86725.37,  106152.18,    8950.49,             8963.21,   -79.78,  19984.29,           20108.24,    -10.18,    -12.80,          31.78,  +2.64,  +2.51
 12,     UK004C,       0,  0.482024, 2459530.449973796494,  75.95695,  32.77230,              105.00547,  54.21025,       105.01023,       54.20857,     75.95695,     +32.77230,      75.95807,      +32.76914,  3324728.00,  2293435.79,  5030222.49,      51.422519,       +1.313524,   85952.97,  105544.41,    9779.15,             9791.88,   -40.56,  20619.78,           20035.28,     -3.73,     -4.69,          11.70,  +4.09,  +3.97
 13,     UK004C,       1,  0.522176, 2459530.449974261224,  76.31911,  32.75396,              104.66451,  53.97980,       104.74453,       53.95158,     76.31911,     +32.75396,      76.30613,      +32.70058,  3324096.31,  2293156.82,  5029796.30,      51.424865,       +1.315187,   85196.57,  104952.01,   10590.64,            10603.36,   -17.82,  20210.30,           19994.42,    -62.61,    -78.65,         197.57,  +4.00,  +3.90

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.