Orbital Analysis for matched events on 20210813_230944.076_UK

Summary for Event
-----------------
shower ID 26 NDA
Lg 348.05° Bg 7.37° Vg 40.87km/s
mass 0.27766g, abs. mag -2.3
Path Details
------------
start -4.37° 47.30° 94.00km
end   -4.52° 47.39° 83.66km

Orbit Details
-------------
Semimajor axis 3.25A.U., eccentricity 0.97, inclination 25.36°, Period 5.85Y, LA Sun 141.12°, last Perihelion 2015-11-09

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: 2459440.465093481354
Time: 2021-08-13 23:09:44.076789 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK002D
 Convergence angle = 4.58396 deg
 R.A. = 347.66783  Dec =  +4.08926 deg

Best intersection: Stations UK0021 and UK002D with Qconv = 4.58 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2563914.27 +/- 1787.05 m
 Y =  -3572041.34 +/- 3660.80 m
 Z =   4733626.72 +/- 2025.16 m
 Vx =    41001.18 +/- 15497.43 m/s
 Vy =   -10346.72 +/- 2009.11 m/s
 Vz =     2287.74 +/- 4780.25 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.482027e+04, -1.911145e+05, -1.025030e+05, +3.591045e+05, -7.559995e+05, -4.845109e+05
-1.911145e+05, +3.851998e+05, +2.065994e+05, -7.237913e+05, +1.523751e+06, +9.765535e+05
-1.025030e+05, +2.065994e+05, +1.108083e+05, -3.882007e+05, +8.172539e+05, +5.237681e+05
+3.591045e+05, -7.237913e+05, -3.882007e+05, +1.360005e+06, -2.863131e+06, -1.834946e+06
-7.559995e+05, +1.523751e+06, +8.172539e+05, -2.863131e+06, +6.027565e+06, +3.862993e+06
-4.845109e+05, +9.765535e+05, +5.237681e+05, -1.834946e+06, +3.862993e+06, +2.475745e+06

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK002D: 0.002727 s

Reference point on the trajectory:
  Time: 2021-08-13 23:09:44.076789 UTC
  Lon     = +-4.365183 +/- 0.0090 deg
  Lat     = +47.300828 +/- 0.0383 deg
  Lat geo = +47.111767 +/- 0.0383 deg
  Ht      =   93996.65 +/- 1240.82 m

  JD dynamic   = 2459440.465894222260 
  LST apparent = 305.6697582331 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 345.83701 +/- 8.2771 deg
  Dec       =  +3.09673 +/- 5.5848 deg
  Azimuth   = 129.13853 +/- 11.2729 deg
  Elevation = +33.85982 +/- 2.2769 deg
  Vavg      =  41.74801 +/- 9.8810 km/s
  Vinit     =  42.34838 +/- 12.7299 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 346.16737 +/- 8.2771 deg
  Dec       =  +3.08163 +/- 5.5848 deg
  Azimuth   = 128.81111 +/- 11.2729 deg
  Elevation = +33.67283 +/- 2.2769 deg
  Vavg      =  41.95523 +/- 9.8810 km/s
  Vinit     =  42.55559 +/- 12.7299 km/s
Radiant (geocentric, J2000):
  R.A.   = 346.13646 +/- 8.4421 deg
  Dec    =  +2.05820 +/- 5.3945 deg
  Vg     =  40.86558 +/- 12.9534 km/s
  Vinf   =  42.34838 +/- 12.7299 km/s
  Zc     =  56.02097 +/- 2.2586 deg
  Zg     =  57.10713 +/- 2.0348 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 348.04621 +/- 9.7496 deg
  Bg     =  +7.36532 +/- 2.1271 deg
  Vh     =  38.44715 +/- 15.8212 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 304.25604 +/- 2.4203 deg
  Bh     =  +7.83184 +/- 2.2957 deg
  Vh_x   = -21.43973 +/- 6.3869 km/s
  Vh_y   =  31.48133 +/- 14.7877 km/s
  Vh_z   =  -5.23904 +/- 1.3628 km/s
Orbit:
  La Sun = 141.115289 +/- nan deg
  a      =   3.247184 +/- 1.5550 AU
  e      =   0.973014 +/- 0.7828
  i      =  25.363615 +/- 7.7125 deg
  peri   = 328.458057 +/- 21.1705 deg
  node   = 141.123172 +/- 0.0472 deg
  Pi     = 109.581229 +/- 21.1386 deg
  q      =   0.087630 +/- 0.0806 AU
  f      = 211.533434 +/- 21.1388 deg
  M      = 354.420754 +/- nan deg
  Q      =   6.406738 +/- 3.0884 AU
  n      =   0.168440 +/- 5.9905 deg/day
  T      =   5.851416 +/- 253395489.6475 years
  Last perihelion JD = 2457336.322004 (2015-11-09 19:43:41.177763) +/- 717.8276 days
  Tj     =   1.932100 +/- 11.7708
Shower association:
  IAU No.  =   26
  IAU code =  NDA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.432249e-04, +1.665170e-04, -1.214911e+01, +3.038005e-07, -1.013304e-03, -1.114945e-03
q   , +1.665170e-04, +1.935969e-04, -1.412487e+01, +3.532063e-07, -1.178093e-03, -1.296264e-03
Tp  , -1.214911e+01, -1.412487e+01, +1.030553e+06, -2.577000e-02, +8.595389e+01, +9.457565e+01
node, +3.038005e-07, +3.532063e-07, -2.577000e-02, +6.444042e-10, -2.149362e-06, -2.364957e-06
peri, -1.013304e-03, -1.178093e-03, +8.595389e+01, -2.149362e-06, +7.169035e-03, +7.888138e-03
i   , -1.114945e-03, -1.296264e-03, +9.457565e+01, -2.364957e-06, +7.888138e-03, +8.679372e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.001621
 a2 = 28.851154

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 4.540e-05 s
  Stddev    = 6.74e-03 s

Begin point on the trajectory:
  Lon =    -4.365061 +/- 0.0091 deg
  Lat =    47.300761 +/- 0.0381 deg
  Ht  = 94004.79 +/- 1227.04 m
End point on the trajectory:
  Lon =    -4.523582 +/- 0.0103 deg
  Lat =    47.387218 +/- 0.0225 deg
  Ht  = 83657.40 +/- 549.02 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   1.199543,   0.000000,    94004.79,    84362.87,          0.016295,    111.21,      9.44,              36.66, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210813_230937_061_0261632.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.212112,  18.168191,    91733.74,    83657.40,          0.027468,    234.08,     38.75,              48.19, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_230935_880_0269056.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,     UK0021,       0,  0.000000, 2459440.465093481354, 295.91139, -26.75592,              189.67382,  11.98525,       189.67987,       11.99521,    295.91139,     -26.75592,     295.90615,      -26.74533,  2563928.41, -3572044.91,  4733627.51,      47.300761,       -4.365061,   94004.79,  396279.60,       0.00,               14.61,  -146.83,      0.00,           45001.79,     -6.77,     79.80,          41.69,  +3.44,  +0.45
  1,     UK0021,       0,  0.040132, 2459440.465093945619, 295.65276, -26.81981,              189.90020,  11.89397,       189.88864,       11.87493,    295.65276,     -26.81981,     295.66291,      -26.84010,  2562046.33, -3571569.96,  4733522.49,      47.309792,       -4.381549,   92921.88,  395216.37,    1943.92,             1929.31,    68.34,  48438.04,           45001.79,     13.02,   -152.24,          79.75,  +2.14,  -0.84
  2,     UK0021,       0,  0.080280, 2459440.465094410349, 295.46513, -26.93667,              190.05521,  11.75741,       190.06490,       11.77335,    295.46513,     -26.93667,     295.45712,      -26.91968,  2560466.68, -3571171.33,  4733434.35,      47.317373,       -4.395423,   92013.27,  394329.54,    3575.47,             3560.87,    -0.30,  40638.55,           45001.79,    -10.77,    127.19,          66.77,  +2.28,  -0.70
  3,     UK0021,       0,  0.120416, 2459440.465094875079, 295.21693, -27.01544,              190.26922,  11.65152,       190.27088,       11.65423,    295.21693,     -27.01544,     295.21601,      -27.01255,  2558625.31, -3570706.66,  4733331.61,      47.326211,       -4.411578,   90954.47,  393301.55,    5477.34,             5462.74,   201.87,  47385.64,           45001.79,     -1.84,     21.61,          11.38,  +4.77,  +1.80
  4,     UK0021,       0,  0.160528, 2459440.465095339343, 295.03098, -27.08650,              190.42763,  11.55989,       190.42933,       11.56267,    295.03098,     -27.08650,     295.03020,      -27.08352,  2557218.20, -3570351.57,  4733253.10,      47.332965,       -4.423970,   90145.60,  392520.91,    6930.69,             6916.09,   -43.45,  36232.32,           43342.01,     -1.88,     22.14,          11.68,  +0.76,  -2.21
  5,     UK0021,       0,  0.200688, 2459440.465095804073, 294.79765, -27.19764,              190.62296,  11.42269,       190.63540,       11.44307,    294.79765,     -27.19764,     294.78791,      -27.17583,  2555390.11, -3569890.25,  4733151.10,      47.341740,       -4.440028,   89095.08,  391511.92,    8818.85,             8804.24,   143.99,  47015.81,           43392.76,    -13.69,    161.73,          85.51,  +1.03,  -1.93
  6,     UK0021,       0,  0.240792, 2459440.465096268337, 294.60979, -27.26230,              190.78313,  11.33649,       190.79256,       11.35194,    294.60979,     -27.26230,     294.60281,      -27.24576,  2554005.24, -3569540.78,  4733073.82,      47.348387,       -4.452240,   88299.48,  390752.46,   10249.22,            10234.61,  -123.98,  35666.54,           42583.77,    -10.37,    122.34,          64.81,  +1.18,  -1.78
  7,     UK0021,       0,  0.280916, 2459440.465096732602, 294.40927, -27.34139,              190.95233,  11.23418,       190.96356,       11.25253,    294.40927,     -27.34139,     294.40097,      -27.32171,  2552502.08, -3569161.45,  4732989.95,      47.355604,       -4.465488,   87436.16,  389932.26,   11801.77,            11787.16,  -270.61,  38693.79,           41922.55,    -12.30,    145.15,          77.06,  +1.23,  -1.72
  8,     UK0021,       0,  0.401340, 2459440.465098126326, 293.67543, -27.59930,              191.57263,  10.88799,       191.57649,       10.89428,    293.67543,     -27.59930,     293.67389,      -27.59253,  2547147.46, -3567810.21,  4732691.18,      47.381313,       -4.512643,   84362.87,  387046.19,   17332.32,            17317.72,   160.18,  45925.69,           42458.75,     -4.20,     49.42,          26.43,  +2.28,  -0.66
  0,     UK002D,       0,  0.093914, 2459440.465094542131, 281.64330, -26.84676,              203.80687,   8.37109,       203.82389,        8.39842,    281.64330,     -26.84676,     281.63425,      -26.81579,  2559980.61, -3571048.67,  4733407.23,      47.319706,       -4.399690,   91733.74,  498360.81,       0.00,             4062.91,   -75.65,      0.00,           44424.10,    -45.40,    275.43,         115.54,  +4.32,  +0.83
  1,     UK002D,       0,  0.133930, 2459440.465095004998, 281.44348, -26.86077,              203.97565,   8.30711,       203.97544,        8.30678,    281.44348,     -26.86077,     281.44415,      -26.86114,  2558405.08, -3570651.08,  4733319.32,      47.327268,       -4.413538,   90827.85,  497776.35,    1627.30,             5690.21,  -142.96,  40666.25,           44424.10,      0.55,     -3.30,           1.39,  +2.09,  -1.40
  2,     UK002D,       0,  0.174002, 2459440.465095468797, 281.23492, -26.93560,              204.13418,   8.18230,       204.14699,        8.20284,    281.23492,     -26.93560,     281.22862,      -26.91228,  2556623.37, -3570201.47,  4733219.91,      47.335820,       -4.429186,   89803.75,  497120.44,    3467.55,             7530.45,     0.30,  45923.50,           44424.10,    -34.10,    206.66,          86.91,  +1.53,  -1.95
  3,     UK002D,       0,  0.214038, 2459440.465095932130, 281.01316, -26.97256,              204.31470,   8.09008,       204.31969,        8.09808,    281.01316,     -26.97256,     281.01133,      -26.96347,  2554833.40, -3569749.76,  4733120.03,      47.344412,       -4.444915,   88775.24,  496467.50,    5316.34,             9379.24,   153.63,  46178.23,           44424.10,    -13.29,     80.39,          33.85,  +0.66,  -2.82
  4,     UK002D,       0,  0.254098, 2459440.465096395928, 280.79916, -27.03430,              204.48096,   7.97577,       204.49198,        7.99344,    280.79916,     -27.03430,     280.79425,      -27.01423,  2553051.50, -3569300.10,  4733020.61,      47.352966,       -4.460585,   87751.72,  495823.58,    7156.79,            11219.69,   297.61,  45942.32,           44953.21,    -29.27,    177.30,          74.76,  +1.02,  -2.46
  5,     UK002D,       0,  0.294122, 2459440.465096859261, 280.61105, -27.05249,              204.63743,   7.90954,       204.63543,        7.90634,    280.61105,     -27.05249,     280.61334,      -27.05613,  2551573.10, -3568927.02,  4732938.12,      47.360064,       -4.473621,   86902.77,  495294.75,    8683.76,            12746.67,   129.63,  38151.44,           44133.26,      5.32,    -32.14,          13.57,  +1.28,  -2.19
  6,     UK002D,       0,  0.334138, 2459440.465097322594, 280.44360, -27.06223,              204.77847,   7.85651,       204.76172,        7.82968,    280.44360,     -27.06223,     280.45395,      -27.09277,  2550275.40, -3568599.55,  4732865.71,      47.366294,       -4.485090,   86157.77,  494834.58,   10024.10,            14087.00,  -224.65,  33495.01,           42701.47,     44.65,   -268.86,         113.61,  +1.47,  -2.00
  7,     UK002D,       0,  0.374238, 2459440.465097786393, 280.27543, -27.17528,              204.88922,   7.70437,       204.91083,        7.73894,    280.27543,     -27.17528,     280.26547,      -27.13593,  2548743.04, -3568212.85,  4732780.21,      47.373651,       -4.498610,   85278.30,  494294.52,   11606.81,            15669.72,  -340.10,  39469.20,           41834.85,    -57.03,    346.15,         146.39,  +2.54,  -0.93
  8,     UK002D,       0,  0.414238, 2459440.465098249260, 280.05644, -27.16513,              205.08000,   7.65630,       205.07074,        7.64149,    280.05644,     -27.16513,     280.06306,      -27.18201,  2547101.71, -3567798.66,  4732688.63,      47.381532,       -4.513087,   84336.58,  493720.71,   13302.07,            17364.97,  -338.78,  42381.36,           41466.97,     24.56,   -148.14,          62.73,  +2.31,  -1.16
  9,     UK002D,       0,  0.454246, 2459440.465098712593, 279.90058, -27.16716,              205.21293,   7.61300,       205.18665,        7.57098,    279.90058,     -27.16716,     279.91629,      -27.21505,  2545917.74, -3567499.88,  4732622.57,      47.387218,       -4.523582,   83657.40,  493311.39,   14524.94,            18587.85,  -810.18,  30565.76,           40685.65,     69.89,   -419.94,         178.00,  +4.15,  +0.68

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.