Orbital Analysis for matched events on 20211103_040159.153_UK

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Summary for Event
-----------------
shower ID 812 NAA
Lg 70.58° Bg 25.87° Vg 41.90km/s
mass 0.00804g, abs. mag 1.5
best visual mag 1.9
Path Details
------------
start -2.98° 50.76° 98.76km
end   -2.91° 50.76° 86.82km

Orbit Details
-------------
Semimajor axis 3.83A.U., eccentricity 0.93, inclination 58.45°, Period 7.48Y, LA Sun 220.65°, last Perihelion 2014-06-17

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: 2459521.668045757338
Time: 2021-11-03 04:01:59.153434 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003J and UK003Z
 Convergence angle = 54.48867 deg
 R.A. =  65.15917  Dec = +47.93789 deg

Best intersection: Stations UK003J and UK003Z with Qconv = 54.49 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -723868.39 +/- 13.87 m
 Y =   4040677.24 +/- 34.21 m
 Z =   4993427.18 +/- 29.20 m
 Vx =    12483.67 +/- 62.25 m/s
 Vy =    26338.28 +/- 157.58 m/s
 Vz =    32082.79 +/- 157.26 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.060019e+02, +4.356685e+02, +3.985464e+02, +1.497233e+02, +3.276180e+00, -1.188138e+01
+4.356685e+02, +1.250119e+03, +8.287645e+02, +7.067612e+02, +2.517848e+03, +6.784938e+02
+3.985464e+02, +8.287645e+02, +9.096528e+02, +4.315371e+01, -3.436146e+02, -8.783674e+01
+1.497233e+02, +7.067612e+02, +4.315371e+01, +1.116524e+03, +4.254566e+03, +1.083008e+03
+3.276180e+00, +2.517848e+03, -3.436146e+02, +4.254566e+03, +2.674566e+04, +7.203988e+03
-1.188138e+01, +6.784938e+02, -8.783674e+01, +1.083008e+03, +7.203988e+03, +1.958330e+03

Timing offsets (from input data):
    UK003J: 0.000100 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 04:01:59.153434 UTC
  Lon     = +-2.978201 +/- 0.0003 deg
  Lat     = +50.762795 +/- 0.0001 deg
  Lat geo = +50.577009 +/- 0.0001 deg
  Ht      =   98759.35 +/- 39.92 m

  JD dynamic   = 2459521.668846498244 
  LST apparent = 100.1565335073 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  64.64025 +/- 0.0940 deg
  Dec       = +47.74507 +/- 0.1126 deg
  Azimuth   = 276.46321 +/- 0.3198 deg
  Elevation = +66.85019 +/- 0.0303 deg
  Vavg      =  43.10281 +/- 0.1219 km/s
  Vinit     =  43.34573 +/- 0.1350 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  65.12207 +/- 0.0940 deg
  Dec       = +47.91466 +/- 0.1126 deg
  Azimuth   = 276.57851 +/- 0.3198 deg
  Elevation = +67.21263 +/- 0.0303 deg
  Vavg      =  42.98675 +/- 0.1219 km/s
  Vinit     =  43.22967 +/- 0.1350 km/s
Radiant (geocentric, J2000):
  R.A.   =  63.68655 +/- 0.0999 deg
  Dec    = +47.55155 +/- 0.1129 deg
  Vg     =  41.89904 +/- 0.1396 km/s
  Vinf   =  43.34573 +/- 0.1350 km/s
  Zc     =  23.17142 +/- 0.0308 deg
  Zg     =  23.57011 +/- 0.0326 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  70.57877 +/- 0.0530 deg
  Bg     = +25.87236 +/- 0.1226 deg
  Vh     =  39.45278 +/- 0.0697 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  21.92675 +/- 0.2340 deg
  Bh     = +27.60851 +/- 0.0860 deg
  Vh_x   = -32.43151 +/- 0.0335 km/s
  Vh_y   = -13.05498 +/- 0.1651 km/s
  Vh_z   = -18.28351 +/- 0.0205 km/s
Orbit:
  La Sun = 220.654615 +/- -0.0000 deg
  a      =   3.826090 +/- 0.0939 AU
  e      =   0.930867 +/- 0.0022
  i      =  58.451103 +/- 0.2214 deg
  peri   = 301.416338 +/- 0.1748 deg
  node   = 220.655892 +/- 0.0000 deg
  Pi     = 162.072230 +/- 0.1748 deg
  q      =   0.264508 +/- 0.0021 AU
  f      = 238.584748 +/- 0.1748 deg
  M      = 355.026076 +/- 0.1898 deg
  Q      =   7.387671 +/- 0.1897 AU
  n      =   0.131696 +/- 0.0047 deg/day
  T      =   7.483993 +/- 0.2778 years
  Last perihelion JD = 2456825.861161 (2014-06-17 08:40:04.339457) +/- 101.5912 days
  Tj     =   1.688025 +/- 0.0353
Shower association:
  IAU No.  =  812
  IAU code =  NAA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.947161e-06, -4.721569e-06, -2.322374e-01, +1.075797e-08, +3.820219e-04, +4.864839e-04
q   , -4.721569e-06, +4.678575e-06, +2.185549e-01, -1.089568e-08, -3.888064e-04, -4.926472e-04
Tp  , -2.322374e-01, +2.185549e-01, +1.098637e+04, -4.944706e-04, -1.749980e+01, -2.236594e+01
node, +1.075797e-08, -1.089568e-08, -4.944706e-04, +2.580170e-11, +9.190014e-07, +1.166545e-06
peri, +3.820219e-04, -3.888064e-04, -1.749980e+01, +9.190014e-07, +3.290000e-02, +4.154912e-02
i   , +4.864839e-04, -4.926472e-04, -2.236594e+01, +1.166545e-06, +4.154912e-02, +5.274289e-02

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: UK003Z
  Avg. res. = 1.426e-05 s
  Stddev    = 3.78e-03 s

Begin point on the trajectory:
  Lon =    -2.978177 +/- 0.0002 deg
  Lat =    50.762793 +/- 0.0001 deg
  Ht  = 98755.28 +/- 22.23 m
End point on the trajectory:
  Lon =    -2.908513 +/- 0.0001 deg
  Lat =    50.757675 +/- 0.0002 deg
  Ht  = 86815.78 +/- 23.70 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
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    98077.63,    86815.78,          0.003029,      3.09,      5.83,              34.29, 1.0000,    True,    True, {"ff_name": "FF_UK003J_20211103_040201_212_0969216.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,    98755.28,    87672.89,          0.009602,     10.77,     19.70,              25.05, 1.0000,    True,    True, {"ff_name": "FF_UK003Z_20211103_040156_806_0972544.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,     UK003J,       0,  0.021425, 2459521.668046004139,  80.18374,  15.64756,              212.27364,  50.67846,       212.28155,       50.67444,     80.18374,     +15.64756,      80.17750,      +15.64551,  -724081.92,  4040226.71,  4992878.40,      50.762505,       -2.974247,   98077.63,  125935.19,       0.00,              741.44,   -15.28,      0.00,           43440.94,    -12.49,      6.63,          23.16,  +2.88,  +2.38
  1,     UK003J,       0,  0.061737, 2459521.668046470731,  80.32057,  15.20767,              211.84121,  50.31074,       211.83768,       50.31252,     80.32057,     +15.20767,      80.32365,      +15.20858,  -724589.46,  4039155.89,  4991574.03,      50.761813,       -2.964803,   96457.32,  124491.97,    1762.28,             2503.72,    -0.35,  43716.04,           43440.94,      5.52,     -2.93,          10.35,  +2.66,  +2.18
  2,     UK003J,       0,  0.102065, 2459521.668046937324,  80.48134,  14.74233,              211.36748,  49.92552,       211.37043,       49.92403,     80.48134,     +14.74233,      80.47940,      +14.74157,  -725119.18,  4038038.29,  4990212.67,      50.761090,       -2.954934,   94766.30,  122994.25,    3601.55,             4343.00,    90.87,  45607.85,           43440.94,     -4.57,      2.43,           8.68,  +2.17,  +1.72
  3,     UK003J,       0,  0.142365, 2459521.668047403917,  80.61991,  14.32034,              210.95380,  49.57249,       210.95591,       49.57144,     80.61991,     +14.32034,      80.61881,      +14.31980,  -725586.62,  4037052.07,  4989011.35,      50.760452,       -2.946241,   93274.11,  121680.70,    5224.60,             5966.04,   -32.91,  40274.12,           43440.94,     -3.24,      1.72,           6.22,  +2.10,  +1.67
  4,     UK003J,       0,  0.182701, 2459521.668047870975,  80.77677,  13.84691,              210.49399,  49.17544,       210.49683,       49.17402,     80.77677,     +13.84691,      80.77525,      +13.84618,  -726099.74,  4035969.48,  4987692.64,      50.759749,       -2.936677,   91636.17,  120246.97,    7006.26,             7747.70,     0.35,  44170.42,           43342.58,     -4.34,      2.30,           8.43,  +2.39,  +1.99
  5,     UK003J,       1,  0.223033, 2459521.668048337568,  80.90996,  13.38503,              210.07940,  48.78042,       210.06176,       48.78919,     80.90996,     +13.38503,      80.92510,      +13.38959,  -726582.99,  4034949.90,  4986450.69,      50.759087,       -2.927676,   90093.62,  118905.38,    8684.21,             9425.65,   -69.92,  41603.36,           43065.93,     26.70,    -14.13,          52.40,  +2.98,  +2.60
  6,     UK003J,       0,  0.263441, 2459521.668048805092,  81.11530,  12.80690,              209.51491,  48.29612,       209.51440,       48.29637,     81.11530,     +12.80690,      81.11681,      +12.80703,  -727184.18,  4033681.50,  4984905.65,      50.758261,       -2.916431,   88174.72,  117247.37,   10771.65,            11513.09,   266.01,  51659.20,           43889.99,      0.76,     -0.40,           1.51,  +4.93,  +4.58
  7,     UK003J,       0,  0.303741, 2459521.668049271684,  81.25208,  12.38411,              209.12661,  47.93644,       209.12618,       47.93666,     81.25208,     +12.38411,      81.25370,      +12.38422,  -727609.94,  4032783.23,  4983811.46,      50.757675,       -2.908513,   86815.78,  116082.53,   12249.96,            12991.41,    -2.51,  36682.71,           43632.87,      0.64,     -0.34,           1.29,  +4.76,  +4.44
  0,     UK003Z,       0,  0.000000, 2459521.668045757338,  52.29573,  24.96403,              254.14543,  44.48719,       254.15216,       44.48527,     52.29573,     +24.96403,      52.29038,      +24.96580,  -723869.66,  4040674.54,  4993423.90,      50.762793,       -2.978177,   98755.28,  139752.84,       0.00,                4.43,   176.40,      0.00,           42049.73,    -11.07,     -6.04,          18.61,  +2.96,  +2.23
  1,     UK003Z,       0,  0.040224, 2459521.668046223000,  52.17143,  24.65504,              253.97511,  44.18163,       253.98505,       44.17879,     52.17143,     +24.65504,      52.16367,      +24.65766,  -724409.90,  4039534.75,  4992035.51,      50.762058,       -2.968115,   97030.58,  138060.17,    1875.80,             1880.23,   308.65,  46633.74,           42049.73,    -16.23,     -8.85,          27.63,  +2.61,  +1.91
  2,     UK003Z,       0,  0.080396, 2459521.668046687730,  52.06592,  24.43061,              253.86735,  43.95015,       253.86329,       43.95131,     52.06592,     +24.43061,      52.06949,      +24.42954,  -724800.66,  4038710.32,  4991031.27,      50.761525,       -2.960880,   95783.12,  136840.97,    3232.59,             3237.02,   -75.84,  33774.55,           42049.73,      6.58,      3.59,          11.31,  +2.37,  +1.69
  3,     UK003Z,       0,  0.120640, 2459521.668047153857,  51.93136,  24.09534,              253.68686,  43.61777,       253.68512,       43.61827,     51.93136,     +24.09534,      51.93326,      +24.09488,  -725362.54,  4037524.84,  4989587.23,      50.760758,       -2.950399,   93989.42,  135088.70,    5183.57,             5188.00,   130.74,  48478.86,           42049.73,      2.80,      1.53,           4.88,  +1.88,  +1.23
  4,     UK003Z,       0,  0.160868, 2459521.668047619052,  51.78650,  23.80448,              253.55912,  43.31194,       253.52823,       43.32072,     51.78650,     +23.80448,      51.81197,      +23.79625,  -725851.44,  4036493.35,  4988330.78,      50.760089,       -2.941296,   92428.78,  133569.47,    6881.11,             6885.55,    84.57,  42198.00,           42447.14,     49.35,     27.01,          86.88,  +2.24,  +1.61
  5,     UK003Z,       0,  0.201064, 2459521.668048084248,  51.69337,  23.51533,              253.38605,  43.03817,       253.38170,       43.03941,     51.69337,     +23.51533,      51.69771,      +23.51417,  -726302.94,  4035540.77,  4987170.43,      50.759471,       -2.932899,   90987.56,  132170.82,    8448.80,             8453.24,   -90.07,  39001.14,           42068.58,      6.90,      3.77,          12.28,  +2.63,  +2.02
  6,     UK003Z,       0,  0.241312, 2459521.668048550375,  51.56271,  23.16415,              253.19509,  42.69447,       253.20214,       42.69246,     51.56271,     +23.16415,      51.55803,      +23.16603,  -726847.65,  4034391.53,  4985770.54,      50.758723,       -2.922729,   89248.88,  130486.68,   10340.14,            10344.58,    56.70,  46992.18,           42461.37,    -11.11,     -6.07,          20.01,  +2.88,  +2.30
  7,     UK003Z,       0,  0.281552, 2459521.668049016036,  51.42340,  22.84368,              253.04227,  42.36818,       253.03733,       42.36958,     51.42340,     +22.84368,      51.42857,      +22.84236,  -727341.40,  4033349.80,  4984501.60,      50.758045,       -2.913522,   87672.89,  128965.69,   12054.55,            12058.99,    26.87,  42604.60,           42636.94,      7.72,      4.22,          14.08,  +4.95,  +4.40
  8,     UK003Z,       1,  0.321736, 2459521.668049481232,  51.28764,  22.64320,              252.99374,  42.13456,       252.92908,       42.15283,     51.28764,     +22.64320,      51.34128,      +22.62581,  -727664.48,  4032668.16,  4983671.29,      50.757600,       -2.907553,   86641.66,  127975.89,   13176.35,            13180.78,  -593.14,  27916.48,           41738.40,    100.46,     55.16,         184.71,  +5.97,  +5.43

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.