Orbital Analysis for matched events on 20210813_003158.041_UK

Summary for Event
-----------------
shower ID 26 NDA
Lg 349.14° Bg 4.42° Vg 40.25km/s
mass 0.03310g, abs. mag -0.2
Path Details
------------
start -3.49° 53.15° 96.30km
end   -3.56° 53.24° 88.73km

Orbit Details
-------------
Semimajor axis 2.30A.U., eccentricity 0.97, inclination 17.24°, Period 3.48Y, LA Sun 140.21°, last Perihelion 2018-03-23

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: 2459439.522199551575
Time: 2021-08-13 00:31:58.041256 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 41.62905 deg
 R.A. = 349.11486  Dec =  +0.88315 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 41.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3232622.11 +/- 114.15 m
 Y =  -2165819.73 +/- 169.43 m
 Z =   5157678.03 +/- 185.05 m
 Vx =    40875.25 +/- 446.03 m/s
 Vy =    -8492.74 +/- 796.61 m/s
 Vz =      688.16 +/- 930.46 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.496156e+04, +6.064043e+03, -1.130303e+04, +1.715176e+04, +4.865687e+04, -6.361928e+04
+6.064043e+03, +3.012322e+04, -2.989091e+04, +1.703240e+04, +1.474535e+05, -1.455082e+05
-1.130303e+04, -2.989091e+04, +3.505172e+04, -2.168931e+04, -1.498961e+05, +1.652537e+05
+1.715176e+04, +1.703240e+04, -2.168931e+04, +5.010177e+04, +1.053838e+05, -1.381789e+05
+4.865687e+04, +1.474535e+05, -1.498961e+05, +1.053838e+05, +7.700956e+05, -7.746583e+05
-6.361928e+04, -1.455082e+05, +1.652537e+05, -1.381789e+05, -7.746583e+05, +8.599482e+05

Timing offsets (from input data):
    UK001L: -0.000852 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:31:58.041256 UTC
  Lon     = +-3.485414 +/- 0.0026 deg
  Lat     = +53.150193 +/- 0.0010 deg
  Lat geo = +52.968087 +/- 0.0010 deg
  Ht      =   96286.92 +/- 178.63 m

  JD dynamic   = 2459439.523000292480 
  LST apparent = 326.1783684255 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 348.26254 +/- 1.1999 deg
  Dec       =  +0.94435 +/- 1.2745 deg
  Azimuth   = 152.80192 +/- 1.0605 deg
  Elevation = +34.66886 +/- 1.5296 deg
  Vavg      =  40.99765 +/- 0.2351 km/s
  Vinit     =  41.75388 +/- 0.1953 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 348.62245 +/- 1.1999 deg
  Dec       =  +0.94192 +/- 1.2745 deg
  Azimuth   = 152.38245 +/- 1.0605 deg
  Elevation = +34.56717 +/- 1.5296 deg
  Vavg      =  41.10514 +/- 0.2351 km/s
  Vinit     =  41.86137 +/- 0.1953 km/s
Radiant (geocentric, J2000):
  R.A.   = 348.28852 +/- 1.2195 deg
  Dec    =  -0.22939 +/- 1.3110 deg
  Vg     =  40.24922 +/- 0.2027 km/s
  Vinf   =  41.75388 +/- 0.1953 km/s
  Zc     =  55.16921 +/- 1.5309 deg
  Zg     =  56.26768 +/- 1.5710 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 349.14132 +/- 0.6544 deg
  Bg     =  +4.41977 +/- 1.6680 deg
  Vh     =  36.94322 +/- 0.4733 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 304.46901 +/- 0.5376 deg
  Bh     =  +4.81686 +/- 1.7269 deg
  Vh_x   = -20.83456 +/- 0.1999 km/s
  Vh_y   =  30.34962 +/- 0.4475 km/s
  Vh_z   =  -3.10216 +/- 1.1776 km/s
Orbit:
  La Sun = 140.209816 +/- -0.0000 deg
  a      =   2.296534 +/- 0.2684 AU
  e      =   0.972057 +/- 0.0020
  i      =  17.243779 +/- 4.3782 deg
  peri   = 334.179683 +/- 2.6107 deg
  node   = 140.222183 +/- 0.0016 deg
  Pi     = 114.401865 +/- 2.6122 deg
  q      =   0.064172 +/- 0.0121 AU
  f      = 205.808202 +/- 2.6121 deg
  M      = 350.662299 +/- 1.1920 deg
  Q      =   4.528895 +/- 0.5256 AU
  n      =   0.283201 +/- 0.0369 deg/day
  T      =   3.480245 +/- 0.6521 years
  Last perihelion JD = 2458201.313176 (2018-03-23 19:30:58.448003) +/- 237.9602 days
  Tj     =   2.564000 +/- 0.1968
Shower association:
  IAU No.  =   26
  IAU code =  NDA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.325762e-06, -1.880035e-05, +2.231963e-01, +4.649917e-08, +6.727589e-05, -1.216790e-04
q   , -1.880035e-05, +1.430880e-04, -2.645085e+00, -3.441232e-07, -5.409234e-04, +9.011775e-04
Tp  , +2.231963e-01, -2.645085e+00, +5.736930e+04, +6.302981e-03, +1.026451e+01, -1.638753e+01
node, +4.649917e-08, -3.441232e-07, +6.302981e-03, +9.303341e-10, +1.310212e-06, -2.326367e-06
peri, +6.727589e-05, -5.409234e-04, +1.026451e+01, +1.310212e-06, +2.054975e-03, -3.413772e-03
i   , -1.216790e-04, +9.011775e-04, -1.638753e+01, -2.326367e-06, -3.413772e-03, +5.999259e-03

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: UK002Z
  Avg. res. = 2.107e-05 s
  Stddev    = 4.59e-03 s

Begin point on the trajectory:
  Lon =    -3.485324 +/- 0.0024 deg
  Lat =    53.150088 +/- 0.0006 deg
  Ht  = 96296.19 +/- 187.74 m
End point on the trajectory:
  Lon =    -3.560660 +/- 0.0019 deg
  Lat =    53.236390 +/- 0.0010 deg
  Ht  = 88730.25 +/- 69.25 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   4.232867,  15.223082,    95112.12,    88730.25,          0.009463,     13.66,     35.32,             114.48, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210813_003148_753_0368896.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  31.096672,   0.000000,    96296.19,    89543.67,          0.043799,    101.58,    146.55,              85.13, 1.0000,    True,   False, {"ff_name": "FF_UK002Z_20210813_003152_999_0384000.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,     UK001L,       0,  0.051290, 2459439.522200145759, 216.74477,  45.48735,              314.62634,  23.68046,       314.64294,       23.68549,    216.74477,     +45.48735,     216.73258,      +45.50079,  3230599.94, -2165399.58,  5157643.99,      53.163571,       -3.497068,   95112.12,  228189.42,       0.00,             2065.64,     0.84,      0.00,           40888.51,    -59.47,     23.00,          57.64,  +2.65,  +0.86
  1,     UK001L,       0,  0.091618, 2459439.522200612817, 216.27116,  45.30056,              314.78227,  23.32683,       314.77083,       23.32336,    216.27116,     +45.30056,     216.28016,      +45.29131,  3228930.79, -2165052.77,  5157615.89,      53.174616,       -3.506688,   94142.73,  228974.21,    1705.03,             3770.67,    22.02,  42279.03,           40888.51,     41.22,    -15.95,          39.82,  +2.15,  +0.35
  2,     UK001L,       0,  0.131958, 2459439.522201079410, 215.83010,  45.06621,              314.88898,  22.95009,       314.90072,       22.95364,    215.83010,     +45.06621,     215.82174,      +45.07570,  3227215.01, -2164696.28,  5157587.00,      53.185972,       -3.516579,   93146.56,  229791.15,    3457.68,             5523.32,    90.32,  43447.08,           40888.51,    -42.57,     16.46,          40.97,  +2.29,  +0.48
  3,     UK001L,       0,  0.172234, 2459439.522201545537, 215.44006,  44.90304,              315.01501,  22.65137,       315.00681,       22.64889,    215.44006,     +44.90304,     215.44704,      +44.89643,  3225792.53, -2164400.73,  5157563.05,      53.195389,       -3.524815,   92320.90,  230477.67,    4910.74,             6976.38,  -138.30,  36077.49,           40888.51,     29.86,    -11.55,          28.65,  +1.83,  +0.02
  4,     UK001L,       0,  0.212590, 2459439.522202013060, 214.97523,  44.66538,              315.13882,  22.26119,       315.14146,       22.26199,    214.97523,     +44.66538,     214.97409,      +44.66750,  3223973.61, -2164022.81,  5157532.43,      53.207433,       -3.535307,   91265.44,  231363.84,    6768.76,             8834.40,    34.70,  46040.82,           41524.59,     -9.69,      3.75,           9.26,  +1.40,  -0.42
  5,     UK001L,       0,  0.252914, 2459439.522202479653, 214.54637,  44.44996,              315.25811,  21.90403,       315.26450,       21.90596,    214.54637,     +44.44996,     214.54248,      +44.45510,  3222288.10, -2163672.61,  5157504.05,      53.218596,       -3.545050,   90287.71,  232195.86,    8490.50,            10556.14,    72.76,  42697.56,           41873.85,    -23.56,      9.11,          22.44,  +2.02,  +0.19
  6,     UK001L,       1,  0.293054, 2459439.522202943917, 214.27189,  44.42844,              315.41168,  21.76783,       315.32028,       21.74030,    214.27189,     +44.42844,     214.34414,      +44.35503,  3221501.86, -2163509.25,  5157490.82,      53.223804,       -3.549687,   89831.67,  232591.31,    9293.64,            11359.28,  -800.10,  20008.55,           39667.20,    337.77,   -131.00,         321.28,  +5.64,  +3.81
  7,     UK001L,       0,  0.333430, 2459439.522203411441, 213.86429,  44.11836,              315.45986,  21.34438,       315.45667,       21.34341,    213.86429,     +44.11836,     213.86818,      +44.11579,  3219602.24, -2163114.56,  5157458.84,      53.236390,       -3.560660,   88730.25,  233544.93,   11234.09,            13299.73,  -545.51,  48059.44,           39446.78,     11.89,     -4.60,          11.26,  +4.33,  +2.49
  0,     UK002Z,       0,  0.000000, 2459439.522199551575, 261.64518,  12.66296,              259.43492,  23.38626,       259.45222,       23.40736,    261.64518,     +12.66296,     261.64510,      +12.68936,  3232638.06, -2165823.04,  5157678.30,      53.150088,       -3.485324,   96296.19,  233425.51,       0.00,               16.30,    93.05,      0.00,           41631.87,    -88.33,     61.37,          95.04,  +5.16,  +3.32
  1,     UK002Z,       0,  0.040152, 2459439.522200016305, 261.28811,  12.75411,              259.79807,  23.25051,       259.75433,       23.19736,    261.28811,     +12.75411,     261.28858,      +12.68748,  3231252.85, -2165535.23,  5157654.98,      53.159251,       -3.493327,   95491.39,  233353.28,    1414.98,             1398.69,  -201.06,  35240.68,           41631.87,    223.09,   -154.54,         239.89,  +3.01,  +1.17
  2,     UK002Z,       0,  0.080416, 2459439.522200482432, 260.81421,  12.76873,              260.20960,  22.98485,       260.15419,       22.91774,    260.81421,     +12.76873,     260.81509,      +12.68443,  3229413.05, -2165152.98,  5157624.01,      53.171424,       -3.503909,   94422.78,  233267.37,    3294.33,             3278.03,    -2.89,  46675.64,           41631.87,    282.18,   -195.37,         303.49,  +2.89,  +1.05
  3,     UK002Z,       0,  0.120700, 2459439.522200948559, 260.39522,  12.68966,              260.51260,  22.67614,       260.50688,       22.66923,    260.39522,     +12.68966,     260.39579,      +12.68097,  3227785.28, -2164814.77,  5157596.60,      53.182197,       -3.513300,   93477.62,  233205.17,    4957.09,             4940.79,   -22.15,  41275.86,           41631.87,     29.07,    -20.18,          31.30,  +3.01,  +1.17
  4,     UK002Z,       0,  0.160920, 2459439.522201414220, 260.02599,  12.67150,              260.81253,  22.44510,       260.81635,       22.44971,    260.02599,     +12.67150,     260.02660,      +12.67731,  3226353.11, -2164517.21,  5157572.49,      53.191677,       -3.521588,   92646.25,  233161.48,    6420.04,             6403.75,  -238.54,  36373.79,           40713.05,    -19.42,     13.49,          20.92,  +2.34,  +0.50
  5,     UK002Z,       0,  0.201196, 2459439.522201880347, 259.54122,  12.67310,              261.22189,  22.16182,       261.22110,       22.16088,    259.54122,     +12.67310,     259.54208,      +12.67191,  3224473.00, -2164126.57,  5157540.84,      53.204126,       -3.532424,   91555.19,  233114.95,    8340.58,             8324.28,     0.32,  47684.30,           41447.43,      3.98,     -2.76,           4.29,  +2.08,  +0.24
  6,     UK002Z,       0,  0.241428, 2459439.522202346008, 259.13157,  12.66635,              261.56172,  21.91573,       261.56186,       21.91590,    259.13157,     +12.66635,     259.13258,      +12.66657,  3222885.01, -2163796.63,  5157514.10,      53.214642,       -3.541610,   90633.93,  233089.58,    9962.70,             9946.40,   -57.40,  40319.20,           41588.73,     -0.73,      0.51,           0.79,  +1.68,  -0.16
  7,     UK002Z,       0,  0.281736, 2459439.522202812601, 258.64755,  12.60486,              261.92757,  21.58198,       261.96372,       21.62513,    258.64755,     +12.60486,     258.64791,      +12.65955,  3221005.09, -2163406.04,  5157482.45,      53.227095,       -3.552464,   89543.67,  233072.35,   11883.02,            11866.72,   179.91,  47641.26,           42152.84,   -182.67,    127.04,         196.91,  +2.61,  +0.77

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.