Orbital Analysis for matched events on 20211111_182149.138_UK

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Summary for Event
-----------------
shower ID 334 DAD (December alpha Draconids)
Lg 123.05° Bg 63.13° Vg 45.18km/s
mass 0.09293g, abs. mag -1.5
best visual mag 0.5
Path Details
------------
start 2.55° 50.48° 107.63km
end   2.57° 50.39° 99.64km

Orbit Details
-------------
Semimajor axis 43.02A.U., eccentricity 0.98, inclination 75.43°, Period 282.14Y, LA Sun 229.28°, last Perihelion 1739-09-28

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: 2459530.265152070671
Time: 2021-11-11 18:21:49.138906 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002N
 Convergence angle = 9.99285 deg
 R.A. = 187.43202  Dec = +72.57257 deg
Intersection 2 - Stations: UK002B and UK0045
 Convergence angle = 14.30995 deg
 R.A. = 187.21145  Dec = +72.68642 deg
Intersection 3 - Stations: UK002N and UK0045
 Convergence angle = 4.31719 deg
 R.A. = 186.92877  Dec = +72.97789 deg

Best intersection: Stations UK002B and UK0045 with Qconv = 14.31 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3549047.82 +/- 310.92 m
 Y =  -2122799.40 +/- 139.48 m
 Z =   4979861.70 +/- 52.14 m
 Vx =   -10979.42 +/- 1565.79 m/s
 Vy =     -660.01 +/- 768.59 m/s
 Vz =    45205.45 +/- 856.82 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.015831e+04, +4.006545e+04, +1.044903e+04, +4.520289e+05, +2.043587e+05, +5.956850e+04
+4.006545e+04, +1.894026e+04, +4.694008e+03, +1.978506e+05, +9.529063e+04, +2.549162e+04
+1.044903e+04, +4.694008e+03, +2.768278e+03, +5.175131e+04, +2.224152e+04, +6.654057e+03
+4.520289e+05, +1.978506e+05, +5.175131e+04, +2.714813e+06, +1.225745e+06, +3.412883e+05
+2.043587e+05, +9.529063e+04, +2.224152e+04, +1.225745e+06, +5.959085e+05, +1.507653e+05
+5.956850e+04, +2.549162e+04, +6.654057e+03, +3.412883e+05, +1.507653e+05, +4.470614e+04

Timing offsets (from input data):
    UK002B: -0.000441 s
    UK002N: 0.000069 s
    UK0045: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-11 18:21:49.138906 UTC
  Lon     = ++2.548157 +/- 0.0038 deg
  Lat     = +50.478417 +/- 0.0012 deg
  Lat geo = +50.292524 +/- 0.0012 deg
  Ht      =  107601.72 +/- 156.06 m

  JD dynamic   = 2459530.265952811576 
  LST apparent = 329.1150018319 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 183.44011 +/- 2.3621 deg
  Dec       = +76.32472 +/- 2.2345 deg
  Azimuth   = 350.16419 +/- 2.0754 deg
  Elevation = +38.70187 +/- 1.6301 deg
  Vavg      =  45.87667 +/- 0.2978 km/s
  Vinit     =  46.52435 +/- 0.3317 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 182.12267 +/- 2.3621 deg
  Dec       = +76.52495 +/- 2.2345 deg
  Azimuth   = 350.63373 +/- 2.0754 deg
  Elevation = +38.74063 +/- 1.6301 deg
  Vavg      =  45.83742 +/- 0.2978 km/s
  Vinit     =  46.48511 +/- 0.3317 km/s
Radiant (geocentric, J2000):
  R.A.   = 181.67680 +/- 2.4631 deg
  Dec    = +75.72347 +/- 2.2436 deg
  Vg     =  45.18145 +/- 0.3413 km/s
  Vinf   =  46.52435 +/- 0.3317 km/s
  Zc     =  51.48130 +/- 1.6286 deg
  Zg     =  52.29034 +/- 1.6460 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 123.04999 +/- 4.9552 deg
  Bg     = +63.12923 +/- 0.6093 deg
  Vh     =  42.09042 +/- 0.2596 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 349.58297 +/- 8.1087 deg
  Bh     = +73.24597 +/- 1.7767 deg
  Vh_x   = -11.93316 +/- 1.7324 km/s
  Vh_y   =   2.19381 +/- 0.7916 km/s
  Vh_z   = -40.30372 +/- 0.1387 km/s
Orbit:
  La Sun = 229.284063 +/- -0.0000 deg
  a      =  43.017751 +/- 16.0459 AU
  e      =   0.977479 +/- 0.0242
  i      =  75.430129 +/- 1.1220 deg
  peri   = 196.919263 +/- 4.7010 deg
  node   = 229.283041 +/- -0.0000 deg
  Pi     =  66.202303 +/- 4.7010 deg
  q      =   0.968792 +/- 0.0067 AU
  f      = 343.080709 +/- 4.7010 deg
  M      = 359.958744 +/- nan deg
  Q      =  85.066710 +/- 32.0923 AU
  n      =   0.003493 +/- 0.0070 deg/day
  T      = 282.144890 +/- nan years
  Last perihelion JD = 2356486.859809 (1739-09-28 08:38:07.540653) +/- 37417.4969 days
  Tj     =   0.426235 +/- 0.1056
Shower association:
  IAU No.  =  334
  IAU code =  DAD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.104725e-04, -9.640203e-05, -6.454617e+02, +8.954646e-09, +7.569605e-02, -1.962622e-02
q   , -9.640203e-05, +3.667465e-05, +1.445810e+02, -2.687863e-09, -2.609553e-02, +5.864344e-03
Tp  , -6.454617e+02, +1.445810e+02, +1.476187e+09, -1.322511e-02, -1.041888e+05, +2.874188e+04
node, +8.954646e-09, -2.687863e-09, -1.322511e-02, +2.289642e-13, +2.092879e-06, -4.986450e-07
peri, +7.569605e-02, -2.609553e-02, -1.041888e+05, +2.092879e-06, +2.025435e+01, -4.579241e+00
i   , -1.962622e-02, +5.864344e-03, +2.874188e+04, -4.986450e-07, -4.579241e+00, +1.088889e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.048965
 a2 = 31.830829

Mean time residuals from time vs. length:
  Station with reference time: UK0045
  Avg. res. = 2.341e-06 s
  Stddev    = 1.53e-03 s

Begin point on the trajectory:
  Lon =     2.548083 +/- 0.0038 deg
  Lat =    50.478687 +/- 0.0011 deg
  Ht  = 107626.59 +/- 157.58 m
End point on the trajectory:
  Lon =     2.570495 +/- 0.0029 deg
  Lat =    50.391703 +/- 0.0009 deg
  Ht  = 99642.93 +/- 107.45 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   9.881698,   4.632843,   105583.75,   100917.21,          0.012437,     33.97,     55.96,              93.57, 0.9961,    True,    True, {"ff_name": "FF_UK002B_20211111_182147_687_0123904.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   7.646133,   4.976429,   106507.80,   100746.48,          0.012026,     33.44,     46.08,             100.29, 0.9681,    True,    True, {"ff_name": "FF_UK002N_20211111_182139_967_0129024.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   3.079352,  16.509624,   107626.59,    99642.93,          0.010643,     27.37,     34.35,              99.36, 0.9736,    True,    True, {"ff_name": "FF_UK0045_20211111_182143_054_0132608.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,     UK002B,       0,  0.069291, 2459530.265152877662,  37.84884,  10.71310,               96.67018,  19.22179,        96.67566,       19.22741,     37.84884,     +10.71310,      37.84143,      +10.71412,  3549809.63, -2122753.61,  4976725.10,      50.456466,       +2.553827,  105583.75,  301579.65,       0.00,             3228.12,     0.62,      0.00,           45586.43,    -34.36,     20.87,          27.50,  +2.80,  +0.40
  1,     UK002B,       0,  0.109419, 2459530.265153342392,  37.81422,  10.32945,               96.95696,  18.94811,        96.97562,       18.96722,     37.81422,     +10.32945,      37.78847,      +10.33292,  3550287.98, -2122724.85,  4974755.61,      50.442675,       +2.557401,  104317.14,  301597.70,    2026.95,             5255.07,   160.65,  50512.21,           45586.43,   -117.07,     71.07,          93.66,  +1.59,  -0.81
  2,     UK002B,       0,  0.149483, 2459530.265153805725,  37.75545,  10.06652,               97.18109,  18.78230,        97.18442,       18.78571,     37.75545,     +10.06652,      37.75140,      +10.06714,  3550621.66, -2122704.79,  4973381.73,      50.433052,       +2.559844,  103433.78,  301615.02,    3440.91,             6669.03,  -289.35,  35292.49,           45586.43,    -20.91,     12.70,          16.73,  +1.47,  -0.93
  3,     UK002B,       0,  0.189599, 2459530.265154270455,  37.69689,   9.65670,               97.50317,  18.50275,        97.50529,       18.50491,     37.69689,      +9.65670,      37.69472,       +9.65709,  3551136.33, -2122673.85,  4971262.71,      50.418205,       +2.563702,  102071.69,  301660.66,    5621.76,             8849.87,    25.13,  54363.52,           45586.43,    -13.25,      8.04,          10.60,  +0.91,  -1.49
  4,     UK002B,       0,  0.229699, 2459530.265154734254,  37.64291,   9.30997,               97.77849,  18.26867,        97.77648,       18.26662,     37.64291,      +9.30997,      37.64669,       +9.30959,  3551572.67, -2122647.62,  4969466.15,      50.405612,       +2.566946,  100917.21,  301710.01,    7470.74,            10698.85,     8.48,  46109.14,           46226.07,     12.62,     -7.67,          10.10,  +2.61,  +0.21
  0,     UK002N,       0,  0.036579, 2459530.265152493026,  27.12273,   5.53797,              109.70578,  21.99523,       109.72519,       22.01130,     27.12273,      +5.53797,      27.09875,       +5.54028,  3549460.74, -2122774.58,  4978161.57,      50.466520,       +2.551236,  106507.80,  271049.51,       0.00,             1749.74,    44.18,      0.00,           46417.22,    -92.41,     67.05,          86.88,  +2.59,  +0.42
  1,     UK002N,       0,  0.076867, 2459530.265152959619,  27.05636,   5.17143,              109.99668,  21.73865,       109.99247,       21.73517,     27.05636,      +5.17143,      27.06192,       +5.17093,  3549878.64, -2122749.46,  4976440.95,      50.454477,       +2.554337,  105400.99,  271260.49,    1770.82,             3520.55,   -59.37,  43953.94,           46417.22,     20.06,    -14.57,          18.85,  +1.53,  -0.64
  2,     UK002N,       0,  0.117195, 2459530.265153426211,  27.00836,   4.76828,              110.29388,  21.44125,       110.28346,       21.43264,     27.00836,      +4.76828,      27.02181,       +4.76704,  3550336.38, -2122721.94,  4974556.34,      50.441280,       +2.557750,  104189.00,  271505.60,    3710.42,             5460.16,     4.00,  48095.70,           46417.22,     49.73,    -36.11,          46.69,  +0.97,  -1.20
  3,     UK002N,       0,  0.157515, 2459530.265153892804,  26.98308,   4.37610,              110.56336,  21.13893,       110.56395,       21.13942,     26.98308,      +4.37610,      26.98300,       +4.37617,  3550780.16, -2122695.26,  4972729.14,      50.428480,       +2.561053,  103014.26,  271755.90,    5590.93,             7340.66,     8.64,  46639.53,           46417.22,     -2.84,      2.06,           2.66,  +0.65,  -1.52
  4,     UK002N,       0,  0.197835, 2459530.265154359397,  26.95310,   3.98823,              110.83311,  20.84244,       110.84062,       20.84862,     26.95310,      +3.98823,      26.94460,       +3.98912,  3551220.44, -2122668.80,  4970916.39,      50.415777,       +2.564327,  101849.12,  272016.73,    7456.57,             9206.31,    -1.58,  46270.91,           46466.13,    -35.91,     26.07,          33.65,  +0.51,  -1.66
  5,     UK002N,       0,  0.238127, 2459530.265154825989,  26.90595,   3.62357,              111.10218,  20.57440,       111.10109,       20.57351,     26.90595,      +3.62357,      26.90829,       +3.62345,  3551637.21, -2122643.74,  4969200.44,      50.403749,       +2.567418,  100746.48,  272274.61,    9222.58,            10972.32,  -110.13,  43830.30,           46103.78,      5.22,     -3.79,           4.88,  +1.03,  -1.15
  6,     UK002N,       1,  0.318759, 2459530.265155759174,  26.78588,   2.83189,              111.69851,  20.00144,       111.66437,       19.97349,     26.78588,      +2.83189,      26.82962,       +2.82784,  3552546.78, -2122589.07,  4965455.46,      50.377481,       +2.574191,   98341.01,  272878.04,   13076.82,            14826.56,    -7.24,  47800.38,           46345.60,    163.93,   -119.13,         153.18,  +4.79,  +2.61
  0,     UK0045,       0,  0.000000, 2459530.265152070671,  22.93956,   7.22911,              112.79237,  26.14383,       112.77395,       26.12989,     22.93956,      +7.22911,      22.96130,       +7.22739,  3549038.43, -2122799.97,  4979900.35,      50.478687,       +2.548083,  107626.59,  236257.56,       0.00,               39.78,    36.02,      0.00,           47144.36,     69.75,    -55.58,          77.87,  +3.64,  +1.77
  1,     UK0045,       0,  0.040288, 2459530.265152536798,  22.91271,   6.81823,              113.08205,  25.82489,       113.07026,       25.81598,     22.91271,      +6.81823,      22.92679,       +6.81713,  3549441.46, -2122775.74,  4978240.95,      50.467076,       +2.551069,  106558.87,  236422.69,    1707.82,             1668.04,  -210.09,  42390.18,           47144.36,     44.70,    -35.61,          49.86,  +1.89,  +0.02
  2,     UK0045,       0,  0.080652, 2459530.265153004322,  22.89699,   6.31554,              113.41901,  25.42410,       113.42937,       25.43191,     22.89699,      +6.31554,      22.88511,       +6.31651,  3549934.01, -2122746.13,  4976213.02,      50.452881,       +2.554754,  105254.38,  236643.18,    3794.91,             3755.14,    -0.90,  51706.91,           47144.36,    -39.37,     31.35,          43.87,  +1.54,  -0.33
  3,     UK0045,       0,  0.120952, 2459530.265153470449,  22.84521,   5.87478,              113.74675,  25.09385,       113.74464,       25.09227,     22.84521,      +5.87478,      22.84820,       +5.87459,  3550369.61, -2122719.94,  4974419.52,      50.440322,       +2.557994,  104101.02,  236852.19,    5640.74,             5600.96,   -30.01,  45802.11,           47144.36,      8.00,     -6.37,           8.91,  +0.78,  -1.09
  4,     UK0045,       0,  0.161292, 2459530.265153937507,  22.81431,   5.39211,              114.08056,  24.71668,       114.08634,       24.72102,     22.81431,      +5.39211,      22.80816,       +5.39265,  3550845.54, -2122691.33,  4972459.95,      50.426594,       +2.561548,  102841.22,  237097.63,    7657.48,             7617.71,   109.94,  49993.65,           47732.47,    -22.05,     17.56,          24.52,  +0.64,  -1.23
  5,     UK0045,       0,  0.201556, 2459530.265154403634,  22.76908,   5.00135,              114.36748,  24.42235,       114.36286,       24.41888,     22.76908,      +5.00135,      22.77537,       +5.00092,  3551233.18, -2122668.03,  4970863.93,      50.415410,       +2.564411,  101815.40,  237308.18,    9300.07,             9260.29,  -120.73,  40795.34,           46910.99,     17.65,    -14.06,          19.61,  +0.62,  -1.26
  6,     UK0045,       0,  0.241868, 2459530.265154870227,  22.74031,   4.55777,              114.67138,  24.07478,       114.67372,       24.07653,     22.74031,      +4.55777,      22.73856,       +4.55799,  3551672.31, -2122641.63,  4969055.92,      50.402735,       +2.567676,  100653.63,  237561.45,   11160.83,            11121.05,  -135.46,  46158.96,           46536.87,     -8.96,      7.14,           9.95,  +0.95,  -0.93
  7,     UK0045,       0,  0.282132, 2459530.265155335888,  22.70239,   4.17360,              114.94493,  23.78067,       114.94251,       23.77887,     22.70239,      +4.17360,      22.70642,       +4.17337,  3552054.42, -2122618.66,  4967482.65,      50.391703,       +2.570495,   99642.93,  237792.19,   12780.00,            12740.22,  -389.55,  40213.84,           45854.77,      9.26,     -7.38,          10.27,  +2.63,  +0.75
  8,     UK0045,       1,  0.322384, 2459530.265155802015,  22.63366,   3.78476,              115.24776,  23.49971,       115.21494,       23.47525,     22.63366,      +3.78476,      22.67376,       +3.78170,  3552444.33, -2122595.23,  4965877.30,      50.380441,       +2.573375,   98611.86,  238038.92,   14432.18,            14392.41,  -610.06,  41046.12,           45216.28,    125.98,   -100.45,         139.62,  +5.35,  +3.47

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.