Orbital Analysis for matched events on 20211103_031228.403_UK

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Summary for Event
-----------------
shower ID 337 NUE
Lg 114.86° Bg -6.45° Vg 66.81km/s
mass 0.00418g, abs. mag 1.0
best visual mag 1.4
Path Details
------------
start 0.73° 51.06° 102.94km
end   0.65° 51.12° 92.28km

Orbit Details
-------------
Semimajor axis 3.63A.U., eccentricity 0.80, inclination 167.50°, Period 6.93Y, LA Sun 220.62°, last Perihelion 2015-01-07

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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: 2459521.633662072476
Time: 2021-11-03 03:12:28.425391 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002N and UK0045
 Convergence angle = 30.80931 deg
 R.A. = 116.71408  Dec = +15.44904 deg

Best intersection: Stations UK002N and UK0045 with Qconv = 30.81 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -104203.98 +/- 101.09 m
 Y =   4081479.65 +/- 85.43 m
 Z =   5017959.94 +/- 69.60 m
 Vx =   -28458.94 +/- 129.86 m/s
 Vy =    58901.89 +/- 1077.55 m/s
 Vz =    17548.84 +/- 502.79 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.372110e+03, -5.843329e+03, -4.830889e+03, +4.358944e+04, -3.638914e+04, -2.750760e+04
-5.843329e+03, +6.006802e+03, +3.989290e+03, -3.196581e+04, +2.809464e+04, +2.210674e+04
-4.830889e+03, +3.989290e+03, +3.323476e+03, -2.944948e+04, +2.540213e+04, +1.966650e+04
+4.358944e+04, -3.196581e+04, -2.944948e+04, +3.251130e+05, -2.738526e+05, -2.123015e+05
-3.638914e+04, +2.809464e+04, +2.540213e+04, -2.738526e+05, +2.359548e+05, +1.856697e+05
-2.750760e+04, +2.210674e+04, +1.966650e+04, -2.123015e+05, +1.856697e+05, +1.477924e+05

Timing offsets (from input data):
    UK002N: -0.000308 s
    UK0045: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 03:12:28.425391 UTC
  Lon     = ++0.739685 +/- 0.0014 deg
  Lat     = +51.052097 +/- 0.0003 deg
  Lat geo = +50.866842 +/- 0.0003 deg
  Ht      =  103810.16 +/- 107.25 m

  JD dynamic   = 2459521.634463071823 
  LST apparent = 91.4624969850 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 115.78790 +/- 0.3087 deg
  Dec       = +15.01674 +/- 0.2154 deg
  Azimuth   = 142.66519 +/- 0.5405 deg
  Elevation = +49.00372 +/- 0.0967 deg
  Vavg      =  64.11578 +/- 0.8608 km/s
  Vinit     =  67.72965 +/- 0.9932 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 116.02507 +/- 0.3087 deg
  Dec       = +14.98979 +/- 0.2154 deg
  Azimuth   = 142.36117 +/- 0.5405 deg
  Elevation = +48.88823 +/- 0.0967 deg
  Vavg      =  64.23478 +/- 0.8608 km/s
  Vinit     =  67.84865 +/- 0.9932 km/s
Radiant (geocentric, J2000):
  R.A.   = 115.59858 +/- 0.3065 deg
  Dec    = +14.80298 +/- 0.2242 deg
  Vg     =  66.81375 +/- 1.0060 km/s
  Vinf   =  67.72965 +/- 0.9932 km/s
  Zc     =  40.84911 +/- 0.0960 deg
  Zg     =  41.13960 +/- 0.1028 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 114.85901 +/- 0.2561 deg
  Bg     =  -6.45300 +/- 0.2698 deg
  Vh     =  39.29663 +/- 0.8991 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 102.01158 +/- 0.7209 deg
  Bh     = -11.01603 +/- 0.5291 deg
  Vh_x   =   8.02731 +/- 0.7136 km/s
  Vh_y   = -37.72801 +/- 0.8079 km/s
  Vh_z   =   7.50894 +/- 0.2204 km/s
Orbit:
  La Sun = 220.620174 +/- 0.0000 deg
  a      =   3.633717 +/- 219.1549 AU
  e      =   0.795397 +/- 0.0631
  i      = 167.497641 +/- 0.6585 deg
  peri   =  64.255452 +/- 3.6611 deg
  node   =  40.617722 +/- 0.0003 deg
  Pi     = 104.873174 +/- 3.6614 deg
  q      =   0.743469 +/- 0.0175 AU
  f      = 295.740293 +/- 3.6608 deg
  M      = 354.552594 +/- nan deg
  Q      =   6.523964 +/- 438.3014 AU
  n      =   0.142291 +/- 0.0364 deg/day
  T      =   6.926713 +/- nan years
  Last perihelion JD = 2457029.891864 (2015-01-07 09:24:17.090347) +/- 188847.9622 days
  Tj     =   0.443345 +/- 0.4651
Shower association:
  IAU No.  =  337
  IAU code =  NUE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.156030e-03, +6.640804e-04, -6.139284e+03, -9.608373e-06, -1.374706e-01, +2.335907e-02
q   , +6.640804e-04, +2.110192e-04, -1.655490e+03, -2.931314e-06, -4.344912e-02, +7.192318e-03
Tp  , -6.139284e+03, -1.655490e+03, +3.095454e+10, +2.738954e+01, +3.473234e+05, -6.259432e+04
node, -9.608373e-06, -2.931314e-06, +2.738954e+01, +4.324847e-08, +6.087877e-04, -1.052490e-04
peri, -1.374706e-01, -4.344912e-02, +3.473234e+05, +6.087877e-04, +8.958361e+00, -1.492905e+00
i   , +2.335907e-02, +7.192318e-03, -6.259432e+04, -1.052490e-04, -1.492905e+00, +2.574542e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.362354
 a2 = 21.670913

Mean time residuals from time vs. length:
  Station with reference time: UK0045
  Avg. res. = 3.095e-06 s
  Stddev    = 1.76e-03 s

Begin point on the trajectory:
  Lon =     0.733253 +/- 0.0013 deg
  Lat =    51.057411 +/- 0.0002 deg
  Ht  = 102940.93 +/- 99.80 m
End point on the trajectory:
  Lon =     0.653170 +/- 0.0009 deg
  Lat =    51.122696 +/- 0.0001 deg
  Ht  = 92282.89 +/- 77.24 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
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000367,  66.072184,   102940.93,    93549.40,          0.006430,      1.06,     16.03,              25.97, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20211103_031218_521_0902912.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   1.968239,  22.053900,   102199.60,    92282.89,          0.015214,     13.53,     27.90,              21.22, 1.0000,    True,    True, {"ff_name": "FF_UK0045_20211103_031223_220_0907776.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,     UK002N,       0,  0.022033, 2459521.633662330918, 142.04016,  26.45985,              102.04952,  43.79670,       102.05232,       43.79200,    142.04016,     +26.45985,     142.04219,      +26.45504,  -103720.05,  4080478.04,  5017661.53,      51.057411,       +0.733253,  102940.93,  147405.69,       0.00,             1151.72,   231.12,      0.00,           66248.44,     13.12,      0.87,          18.41,  +2.83,  +1.99
  1,     UK002N,       0,  0.062017, 2459521.633662793785, 142.49502,  26.61215,              101.49491,  43.62906,       101.49974,       43.62109,    142.49502,     +26.61215,     142.49856,      +26.60395,  -102695.81,  4078358.16,  5017029.94,      51.068661,       +0.719463,  101101.50,  145229.88,    2437.60,             3589.32,   -39.39,  60964.35,           66248.44,     22.02,      1.45,          31.34,  +2.48,  +1.67
  2,     UK002N,       0,  0.102001, 2459521.633663256653, 143.03965,  26.78875,              100.84003,  43.42302,       100.84579,       43.41366,    143.03965,     +26.78875,     143.04389,      +26.77908,  -101515.11,  4075914.45,  5016301.88,      51.081636,       +0.703573,   98981.57,  142733.68,    5247.55,             6399.27,    62.46,  70276.91,           66248.44,     25.49,      1.68,          36.91,  +3.35,  +2.58
  3,     UK002N,       0,  0.141997, 2459521.633663719520, 143.57584,  26.94807,              100.21297,  43.20851,       100.21316,       43.20822,    143.57584,     +26.94807,     143.57655,      +26.94777,  -100403.22,  4073613.17,  5015616.25,      51.093860,       +0.688583,   96985.66,  140393.49,    7893.73,             9045.46,    -0.27,  66161.13,           66248.44,      0.78,      0.05,           1.15,  +1.62,  +0.88
  4,     UK002N,       0,  0.181989, 2459521.633664182387, 144.13012,  27.11487,               99.56679,  42.98723,        99.56363,       42.99219,    144.13012,     +27.11487,     144.12889,      +27.12005,   -99291.35,  4071311.91,  5014930.63,      51.106090,       +0.673575,   94990.22,  138064.55,   10539.89,            11691.61,   -62.76,  66167.08,           66357.70,    -13.15,     -0.87,          19.69,  +1.67,  +0.97
  5,     UK002N,       0,  0.221973, 2459521.633664645255, 144.53757,  27.25037,               99.08215,  42.83318,        99.08408,       42.83018,    144.53757,     +27.25037,     144.53970,      +27.24722,   -98488.38,  4069649.98,  5014435.49,      51.114925,       +0.662680,   93549.40,  136387.58,   12450.89,            13602.61,  -859.86,  47794.24,           63737.34,      7.89,      0.52,          11.95,  +4.73,  +4.06
  0,     UK0045,       1,  0.000000, 2459521.633662072476, 129.11219,  33.32568,              107.63421,  56.87830,       107.63014,       56.86213,    129.11219,     +33.32568,     129.12788,      +33.31595,  -104191.64,  4081454.11,  5017952.33,      51.052232,       +0.739615,  103788.00,  123394.23,       0.00,               29.37,   601.03,      0.00,           63554.52,     31.63,    -15.35,          58.77,  +5.22,  +4.76
  1,     UK0045,       0,  0.039940, 2459521.633662534878, 129.40759,  33.60310,              106.95569,  56.89521,       106.96030,       56.91514,    129.40759,     +33.60310,     129.38845,      +33.61514,  -103307.28,  4079623.74,  5017407.00,      51.061944,       +0.727691,  102199.60,  121438.25,    2104.70,             2134.07,     0.61,  52696.48,           63554.52,    -38.34,     18.54,          72.33,  +2.29,  +1.87
  2,     UK0045,       0,  0.079820, 2459521.633662996348, 129.73260,  33.98256,              106.11108,  56.96258,       106.11384,       56.97575,    129.73260,     +33.98256,     129.72016,      +33.99054,  -102233.08,  4077400.45,  5016744.61,      51.073745,       +0.713230,  100270.63,  119070.76,    4661.19,             4690.56,  -143.96,  64104.62,           63554.52,    -24.79,     12.01,          47.72,  +2.19,  +1.81
  3,     UK0045,       0,  0.119660, 2459521.633663457353, 130.10447,  34.45006,              105.09850,  57.05822,       105.09516,       57.04015,    130.10447,     +34.45006,     130.12253,      +34.43910,  -100999.09,  4074846.45,  5015983.69,      51.087308,       +0.696623,   98055.23,  116362.14,    7597.97,             7627.34,    94.47,  73714.43,           63554.52,     33.16,    -16.13,          65.37,  +1.88,  +1.55
  4,     UK0045,       0,  0.159560, 2459521.633663919289, 130.51314,  34.84540,              104.14460,  57.07809,       104.14696,       57.09305,    130.51314,     +34.84540,     130.49927,      +34.85451,   -99902.81,  4072577.45,  5015307.68,      51.099363,       +0.681833,   96087.53,  113964.77,   10207.03,            10236.40,     1.11,  65389.83,           64955.30,    -26.87,     13.02,          54.04,  +1.41,  +1.13
  5,     UK0045,       0,  0.199420, 2459521.633664380759, 130.85391,  35.25995,              103.23346,  57.14820,       103.23203,       57.13755,    130.85391,     +35.25995,     130.86511,      +35.25344,   -98889.30,  4070479.77,  5014682.71,      51.110513,       +0.668133,   94268.77,  111756.56,   12619.09,            12648.46,  -286.52,  60513.48,           64721.43,     18.73,     -9.11,          38.44,  +1.87,  +1.63
  6,     UK0045,       0,  0.239288, 2459521.633664842229, 131.27389,  35.71317,              102.18925,  57.19143,       102.18798,       57.17961,    131.27389,     +35.71317,     131.28642,      +35.70592,   -97782.41,  4068188.83,  5014000.16,      51.122696,       +0.653170,   92282.89,  109355.56,   15253.38,            15282.75,  -352.49,  66075.13,           64782.87,     20.33,     -9.89,          42.64,  +3.80,  +3.61

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.