Orbital Analysis for matched events on 20210929_022814.044_UK

Summary for Event
-----------------
shower ID 210 BAU
Lg 98.43° Bg 20.60° Vg 65.77km/s
mass 0.01152g, abs. mag 0.2
Path Details
------------
start -2.63° 50.67° 112.54km
end   -2.77° 50.65° 99.87km

Orbit Details
-------------
Semimajor axis 4.03A.U., eccentricity 0.75, inclination 143.94°, Period 8.08Y, LA Sun 185.88°, last Perihelion 2021-09-23

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: 2459486.602940331679
Time: 2021-09-29 02:28:14.079258 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003J
 Convergence angle = 32.38238 deg
 R.A. = 101.55176  Dec = +43.58706 deg

Best intersection: Stations UK000H and UK003J with Qconv = 32.38 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3038786.12 +/- 59.26 m
 Y =   2785572.77 +/- 25.91 m
 Z =   4997912.02 +/- 33.47 m
 Vx =    -9176.75 +/- 293.88 m/s
 Vy =    47225.85 +/- 306.65 m/s
 Vz =    46204.26 +/- 321.30 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.728949e+03, +7.384318e+02, +1.135331e+03, +1.685602e+04, +1.154774e+04, +1.184464e+04
+7.384318e+02, +7.174736e+02, +5.942253e+02, +3.678667e+03, +4.439035e+03, +3.310170e+03
+1.135331e+03, +5.942253e+02, +1.203738e+03, +6.818208e+03, +5.186750e+03, +7.865269e+03
+1.685602e+04, +3.678667e+03, +6.818208e+03, +9.391123e+04, +6.110632e+04, +7.363862e+04
+1.154774e+04, +4.439035e+03, +5.186750e+03, +6.110632e+04, +7.045829e+04, +6.628838e+04
+1.184464e+04, +3.310170e+03, +7.865269e+03, +7.363862e+04, +6.628838e+04, +8.664143e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK003E: 0.000000 s
    UK003J: 0.000000 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 02:28:14.079258 UTC
  Lon     = +-2.624694 +/- 0.0005 deg
  Lat     = +50.669297 +/- 0.0003 deg
  Lat geo = +50.483805 +/- 0.0003 deg
  Ht      =  113204.33 +/- 54.49 m

  JD dynamic   = 2459486.603741473053 
  LST apparent = 42.5106400305 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 100.99646 +/- 0.3981 deg
  Dec       = +43.84291 +/- 0.1125 deg
  Azimuth   =  76.51819 +/- 0.1935 deg
  Elevation = +50.78074 +/- 0.2827 deg
  Vavg      =  64.14228 +/- 0.1259 km/s
  Vinit     =  66.70328 +/- 0.3273 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 101.18260 +/- 0.3981 deg
  Dec       = +43.69070 +/- 0.1125 deg
  Azimuth   =  76.61274 +/- 0.1935 deg
  Elevation = +50.58671 +/- 0.2827 deg
  Vavg      =  64.32753 +/- 0.1259 km/s
  Vinit     =  66.88853 +/- 0.3273 km/s
Radiant (geocentric, J2000):
  R.A.   = 100.94406 +/- 0.4030 deg
  Dec    = +43.71817 +/- 0.1143 deg
  Vg     =  65.77446 +/- 0.3320 km/s
  Vinf   =  66.70328 +/- 0.3273 km/s
  Zc     =  39.26285 +/- 0.2831 deg
  Zg     =  39.54943 +/- 0.2878 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  98.42920 +/- 0.3168 deg
  Bg     = +20.60016 +/- 0.1014 deg
  Vh     =  39.37954 +/- 0.3238 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  99.94356 +/- 0.6319 deg
  Bh     = +35.99628 +/- 0.1689 deg
  Vh_x   =   5.50156 +/- 0.2975 km/s
  Vh_y   = -31.38162 +/- 0.3390 km/s
  Vh_z   = -23.14464 +/- 0.1840 km/s
Orbit:
  La Sun = 185.877224 +/- 0.0000 deg
  a      =   4.027386 +/- 0.3468 AU
  e      =   0.752199 +/- 0.0279
  i      = 143.935041 +/- 0.1753 deg
  peri   = 172.339572 +/- 1.4321 deg
  node   = 185.877797 +/- 0.0000 deg
  Pi     = 358.217369 +/- 1.4321 deg
  q      =   0.997989 +/- 0.0017 AU
  f      =   7.659155 +/- 1.4321 deg
  M      =   0.715575 +/- 0.3451 deg
  Q      =   7.056783 +/- 0.6922 AU
  n      =   0.121947 +/- 0.0226 deg/day
  T      =   8.082310 +/- 0.9764 years
  Last perihelion JD = 2459480.735800 (2021-09-23 05:39:33.150972) +/- 1.1531 days
  Tj     =   0.355080 +/- 0.1569
Shower association:
  IAU No.  =  210
  IAU code =  BAU

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.444567e-04, +4.124109e-05, +3.007296e-02, -1.480113e-09, +6.429019e-04, +3.932176e-05
q   , +4.124109e-05, +3.179251e-06, +2.102567e-03, -6.181785e-11, +4.568165e-05, +1.640312e-06
Tp  , +3.007296e-02, +2.102567e-03, +1.417347e+00, -4.640842e-08, +3.070187e-02, +1.232015e-03
node, -1.480113e-09, -6.181785e-11, -4.640842e-08, +1.388455e-14, -9.873658e-10, -3.720505e-10
peri, +6.429019e-04, +4.568165e-05, +3.070187e-02, -9.873658e-10, +6.654070e-04, +2.621191e-05
i   , +3.932176e-05, +1.640312e-06, +1.232015e-03, -3.720505e-10, +2.621191e-05, +9.969852e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.045684
 a2 = 32.717328

Mean time residuals from time vs. length:
  Station with reference time: UK003J
  Avg. res. = 4.168e-05 s
  Stddev    = 6.46e-03 s

Begin point on the trajectory:
  Lon =    -2.632008 +/- 0.0003 deg
  Lat =    50.668183 +/- 0.0003 deg
  Ht  = 112541.30 +/- 51.87 m
End point on the trajectory:
  Lon =    -2.773153 +/- 0.0003 deg
  Lat =    50.646731 +/- 0.0002 deg
  Ht  = 99868.08 +/- 33.93 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,  47.116365,   0.000000,   112541.30,    99868.08,          0.008878,     19.08,      4.74,              68.99, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210929_022809_218_0725504.fits"}
    UK003E,    True,    -1.802002,    51.351948,  130.00, 3928.259432,   1.093611,   105094.32,    99324.96,          0.396404,       nan,       nan,              74.37, 0.0000,   False,    True, {"ff_name": "FF_UK003E_20210929_022804_939_0725248.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   111741.59,   100077.83,          0.013474,     21.65,     22.78,              62.04, 1.0000,    True,    True, {"ff_name": "FF_UK003J_20210929_022809_243_0536576.fits"}
    UK003Z,    True,    -1.639327,    51.011519,   64.00,  84.615048,   0.000000,   112011.97,    99269.55,          0.116887,       nan,       nan,              74.01, 0.0000,    True,    True, {"ff_name": "FF_UK003Z_20210929_022812_220_0727040.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,     UK000H,       0,  0.034620, 2459486.602940732148,   8.19408,  34.64836,              251.04521,  59.93823,       251.06246,       59.93886,      8.19408,     +34.64836,       8.18756,      +34.65506,  3038903.86,  2784966.86,  4997319.21,      50.668183,       -2.632008,  112541.30,  129631.67,       0.00,              855.82,  -120.55,      0.00,           66420.22,     -4.74,    -19.02,          31.18,  +3.49,  +2.93
  1,     UK000H,       0,  0.075476, 2459486.602941205259,   7.07749,  33.90576,              251.24255,  58.75815,       251.23045,       58.75771,      7.07749,     +33.90576,       7.08268,      +33.90094,  3039295.13,  2782953.26,  4995349.17,      50.664474,       -2.656495,  110338.22,  128627.27,    2844.07,             3699.89,    -1.71,  69612.17,           66420.22,      3.41,     13.71,          22.65,  +1.62,  +1.07
  2,     UK000H,       0,  0.116280, 2459486.602941677440,   6.07286,  33.19750,              251.38482,  57.66408,       251.37639,       57.66377,      6.07286,     +33.19750,       6.07685,      +33.19406,  3039652.10,  2781116.19,  4993551.84,      50.661083,       -2.678860,  108328.70,  127760.08,    5438.81,             6294.62,  -128.74,  63590.10,           66420.22,      2.43,      9.79,          16.28,  +1.07,  +0.54
  3,     UK000H,       0,  0.157132, 2459486.602942150086,   5.00590,  32.44221,              251.55312,  56.49530,       251.52282,       56.49421,      5.00590,     +32.44221,       5.01961,      +32.42957,  3040028.64,  2779178.45,  4991656.02,      50.657500,       -2.702453,  106209.50,  126896.42,    8175.73,             9031.55,  -116.77,  66996.21,           66420.22,      8.95,     36.04,          60.36,  +1.14,  +0.62
  4,     UK000H,       0,  0.198100, 2459486.602942624595,   3.86542,  31.57009,              251.67497,  55.19484,       251.67500,       55.19484,      3.86542,     +31.57009,       3.86623,      +31.57010,  3040441.30,  2777054.80,  4989578.31,      50.653565,       -2.728307,  103887.50,  126011.15,   11175.24,            12031.05,   150.03,  73215.76,           67747.10,     -0.01,     -0.03,           0.05,  +0.97,  +0.47
  5,     UK000H,       0,  0.238924, 2459486.602943096776,   2.88875,  30.82491,              251.80230,  54.07780,       251.79849,       54.07766,      2.88875,     +30.82491,       2.89150,      +30.82325,  3040791.43,  2775252.93,  4987815.42,      50.650219,       -2.750280,  101917.73,  125312.68,   13720.26,            14576.08,   -28.04,  62341.38,           67353.90,      1.18,      4.76,           8.08,  +0.99,  +0.50
  6,     UK000H,       0,  0.279804, 2459486.602943569887,   1.89013,  30.02129,              251.90243,  52.90147,       251.92134,       52.90216,      1.89013,     +30.02129,       1.88235,      +30.02969,  3041155.84,  2773377.60,  4985980.66,      50.646731,       -2.773153,   99868.08,  124636.81,   16369.03,            17224.85,  -106.10,  64793.81,           66939.08,     -6.00,    -24.12,          41.14,  +1.80,  +1.32
  0,     UK003E,       1,  0.255480, 2459486.602943288628,  16.12638,  12.55767,              219.45739,  45.39431,       219.96017,       45.54515,     16.12638,     +12.55767,      15.86088,      +12.83953,  3040226.78,  2778158.74,  4990658.37,      50.655612,       -2.715194,  105094.32,  145924.24,       0.00,            10471.81, -5236.64,      0.00,           60645.17,   -579.32,   -786.37,        1380.61,  +1.29,  +0.47
  1,     UK003E,       1,  0.296280, 2459486.602943760809,  15.36445,  11.88180,              220.02747,  44.47318,       220.51699,       44.61961,     15.36445,     +11.88180,      15.10259,      +12.15918,  3040584.87,  2776315.94,  4988855.44,      50.652194,       -2.737656,  103079.55,  145396.04,    2602.82,            13074.64, -5355.31,  63794.72,           60645.17,   -569.35,   -773.10,        1362.08,  +0.87,  +0.06
  2,     UK003E,       1,  0.337024, 2459486.602944232523,  14.69431,  11.23717,              220.49031,  43.61532,       221.01125,       43.77083,     14.69431,     +11.23717,      14.41225,      +11.53524,  3040910.12,  2774642.12,  4987217.82,      50.649084,       -2.758083,  101249.86,  144955.83,    4966.99,            15438.80, -5708.90,  58024.88,           60645.17,   -611.74,   -829.87,        1467.03,  +1.42,  +0.61
  3,     UK003E,       1,  0.377816, 2459486.602944704704,  13.97226,  10.57014,              220.99505,  42.71416,       221.51911,       42.87024,     13.97226,     +10.57014,      13.68507,      +10.87304,  3041252.36,  2772880.86,  4985494.67,      50.645806,       -2.779578,   99324.96,  144532.90,    7454.64,            17926.45, -5942.21,  60983.77,           60645.17,   -621.28,   -842.68,        1494.12,  +2.55,  +1.75
  0,     UK003J,       1,  0.000000, 2459486.602940331679,  35.10734,  16.39941,              192.70446,  54.50868,       192.68848,       54.50081,     35.10734,     +16.39941,      35.11574,      +16.39029,  3038782.87,  2785589.49,  4997928.38,      50.669328,       -2.624348,  113222.63,  138255.57,       0.00,               23.62,  1356.53,      0.00,           58002.92,     21.28,     20.22,          43.80,  +8.12,  +7.42
  1,     UK003J,       0,  0.040588, 2459486.602940801531,  34.56715,  15.92296,              193.46256,  53.96106,       193.46745,       53.96345,     34.56715,     +15.92296,      34.56474,      +15.92575,  3039045.88,  2784235.97,  4996604.14,      50.666837,       -2.640858,  111741.59,  137353.22,    1911.76,             1888.14,   513.71,  47101.55,           58002.92,     -6.50,     -6.17,          13.46,  +6.02,  +5.33
  2,     UK003J,       0,  0.081388, 2459486.602941273712,  33.83387,  15.27452,              194.46682,  53.21011,       194.49450,       53.22347,     33.83387,     +15.27452,      33.81949,      +15.29039,  3039398.98,  2782418.82,  4994826.30,      50.663488,       -2.662975,  109753.58,  136174.31,    4478.35,             4454.74,   358.81,  62906.76,           58002.92,    -36.70,    -34.83,          76.65,  +3.84,  +3.17
  3,     UK003J,       0,  0.122180, 2459486.602941745892,  33.06634,  14.65531,              195.50587,  52.47567,       195.49335,       52.46969,     33.06634,     +14.65531,      33.07355,      +14.64811,  3039748.58,  2780619.72,  4993066.11,      50.660166,       -2.684885,  107785.70,  135045.30,    7019.47,             6995.85,   178.96,  62294.43,           58002.92,     16.55,     15.73,          34.87,  +3.38,  +2.73
  4,     UK003J,       0,  0.163004, 2459486.602942218073,  32.31789,  13.99126,              196.47541,  51.69341,       196.47589,       51.69364,     32.31789,     +13.99126,      32.31831,      +13.99154,  3040098.82,  2778817.27,  4991302.65,      50.656831,       -2.706844,  105814.54,  133953.27,    9565.31,             9541.69,     1.71,  62361.34,           59469.23,     -0.64,     -0.61,           1.35,  +3.37,  +2.74
  5,     UK003J,       0,  0.203800, 2459486.602942690253,  31.58212,  13.35288,              197.40771,  50.93244,       197.40173,       50.92964,     31.58212,     +13.35288,      31.58622,      +13.34942,  3040434.85,  2777087.97,  4989610.76,      50.653626,       -2.727930,  103923.75,  132943.29,   12007.82,            11984.20,  -277.01,  59871.37,           59944.93,      7.89,      7.50,          16.88,  +3.10,  +2.48
  6,     UK003J,       0,  0.244692, 2459486.602943163831,  30.75637,  12.64618,              198.42893,  50.08097,       198.40012,       50.06763,     30.75637,     +12.64618,      30.77318,      +12.62938,  3040804.55,  2775185.43,  4987749.38,      50.650094,       -2.751121,  101843.94,  131875.54,   14695.03,            14671.41,  -317.43,  65714.77,           60734.88,     38.02,     36.16,          82.07,  +3.47,  +2.87
  7,     UK003J,       0,  0.285468, 2459486.602943635546,  30.06519,  12.01632,              199.24950,  49.32529,       199.23325,       49.31783,     30.06519,     +12.01632,      30.07536,      +12.00679,  3041118.54,  2773569.55,  4986168.46,      50.647088,       -2.770853,  100077.83,  131005.73,   16977.34,            16953.73,  -755.01,  55971.97,           60666.73,     21.47,     20.41,          46.64,  +4.22,  +3.63
  0,     UK003Z,       1,  0.046442, 2459486.602940869052,   7.87390,  26.81285,              241.68262,  53.80936,       241.82219,       53.82409,      7.87390,     +26.81285,       7.81198,      +26.87558,  3038997.86,  2784483.10,  4996845.92,      50.667292,       -2.637898,  112011.97,  138055.25,       0.00,             1539.09,  -225.82,      0.00,           67767.58,    -69.30,   -189.41,         301.34,  +3.04,  +2.34
  1,     UK003Z,       1,  0.087334, 2459486.602941342629,   6.98634,  26.07849,              241.96521,  52.74060,       242.13881,       52.75892,      6.98634,     +26.07849,       6.90742,      +26.15792,  3039367.79,  2782579.34,  4994983.34,      50.663784,       -2.661061,  109929.17,  137340.06,    2688.92,             4228.02,  -264.53,  65756.74,           67767.58,    -87.94,   -240.08,         383.99,  +1.45,  +0.76
  2,     UK003Z,       1,  0.128302, 2459486.602941816673,   6.02665,  25.30191,              242.29316,  51.59582,       242.46197,       51.61362,      6.02665,     +25.30191,       5.94802,      +25.38059,  3039761.22,  2780554.65,  4993002.45,      50.660045,       -2.685697,  107714.53,  136633.30,    5548.67,             7087.76,  -137.48,  69804.34,           67767.58,    -87.22,   -238.13,         382.84,  +1.05,  +0.37
  3,     UK003Z,       1,  0.169238, 2459486.602942290250,   5.11798,  24.53339,              242.57495,  50.48301,       242.76016,       50.50254,      5.11798,     +24.53339,       5.02967,      +24.62122,  3040138.88,  2778611.14,  4991100.98,      50.656450,       -2.709363,  105589.14,  136008.54,    8293.74,             9832.83,  -122.98,  67057.64,           67767.58,    -97.56,   -266.20,         429.97,  +0.98,  +0.31
  4,     UK003Z,       1,  0.210294, 2459486.602942765690,   4.10035,  23.67506,              242.89793,  49.23554,       243.07829,       49.25454,      4.10035,     +23.67506,       4.01225,      +23.76217,  3040559.00,  2776449.07,  4988985.68,      50.652441,       -2.735686,  103225.29,  135375.14,   11347.51,            12886.61,   192.22,  74380.65,           69090.99,    -96.96,   -264.59,         429.36,  +0.73,  +0.07
  5,     UK003Z,       1,  0.251198, 2459486.602943239268,   3.24146,  22.94047,              243.16487,  48.17216,       243.33738,       48.19032,      3.24146,     +22.94047,       3.15557,      +23.02506,  3040913.93,  2774622.53,  4987198.65,      50.649048,       -2.757962,  101228.69,  134892.92,   13927.38,            15466.47,    43.66,  63071.24,           68609.65,    -94.31,   -257.43,         419.22,  +1.07,  +0.42
  6,     UK003Z,       1,  0.292082, 2459486.602943712380,   2.43246,  22.18055,              243.35856,  47.11453,       243.58308,       47.13819,      2.43246,     +22.18055,       2.31822,      +22.29223,  3041262.26,  2772829.90,  4985444.80,      50.645711,       -2.779837,   99269.55,  134466.51,   16459.34,            17998.44,  -151.47,  61930.43,           67723.54,   -125.01,   -340.56,         556.49,  +1.90,  +1.26

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.