Orbital Analysis for matched events on 20211103_003250.661_UK

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Summary for Event
-----------------
shower ID 17 NTA
Lg 49.79° Bg 3.68° Vg 28.73km/s
mass 0.01028g, abs. mag 2.2
best visual mag 2.6
Path Details
------------
start -1.80° 52.43° 96.81km
end   -1.79° 52.48° 85.92km

Orbit Details
-------------
Semimajor axis 2.83A.U., eccentricity 0.86, inclination 4.15°, Period 4.75Y, LA Sun 220.51°, last Perihelion 2017-03-16

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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: 2459521.522808583453
Time: 2021-11-03 00:32:50.661610 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK003X
 Convergence angle = 36.27031 deg
 R.A. =  47.39810  Dec = +22.21151 deg

Best intersection: Stations UK001L and UK003X with Qconv = 36.27 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2600392.99 +/- 35.77 m
 Y =   2981906.54 +/- 24.27 m
 Z =   5108739.51 +/- 82.53 m
 Vx =    19552.02 +/- 151.45 m/s
 Vy =    20710.11 +/- 150.10 m/s
 Vz =    11722.99 +/- 294.48 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.384146e+03, +3.069943e+02, +1.141580e+03, +1.526716e+03, -3.849280e+03, +5.800527e+02
+3.069943e+02, +6.308855e+02, +1.034667e+03, -2.938926e+02, -2.854687e+00, +7.048113e+02
+1.141580e+03, +1.034667e+03, +7.491166e+03, -3.831919e+03, -4.406779e+03, +2.008820e+04
+1.526716e+03, -2.938926e+02, -3.831919e+03, +7.143892e+03, -3.236658e+03, -1.812589e+04
-3.849280e+03, -2.854687e+00, -4.406779e+03, -3.236658e+03, +1.725715e+04, -1.540293e+04
+5.800527e+02, +7.048113e+02, +2.008820e+04, -1.812589e+04, -1.540293e+04, +8.662082e+04

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK003X: 0.000172 s

Reference point on the trajectory:
  Time: 2021-11-03 00:32:50.661610 UTC
  Lon     = +-1.796491 +/- 0.0004 deg
  Lat     = +52.427185 +/- 0.0004 deg
  Lat geo = +52.243824 +/- 0.0004 deg
  Ht      =   96864.01 +/- 77.58 m

  JD dynamic   = 2459521.523609324358 
  LST apparent = 48.9097109445 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.64758 +/- 0.2378 deg
  Dec       = +22.37215 +/- 0.5449 deg
  Azimuth   = 184.17306 +/- 0.4302 deg
  Elevation = +59.89473 +/- 0.5444 deg
  Vavg      =  28.66134 +/- 0.0900 km/s
  Vinit     =  30.79965 +/- 0.0575 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.22774 +/- 0.2378 deg
  Dec       = +22.37918 +/- 0.5449 deg
  Azimuth   = 183.10455 +/- 0.4302 deg
  Elevation = +59.92421 +/- 0.5444 deg
  Vavg      =  28.65216 +/- 0.0900 km/s
  Vinit     =  30.79047 +/- 0.0575 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.27804 +/- 0.2436 deg
  Dec    = +21.22349 +/- 0.5675 deg
  Vg     =  28.72713 +/- 0.0616 km/s
  Vinf   =  30.79965 +/- 0.0575 km/s
  Zc     =  29.92240 +/- 0.5444 deg
  Zg     =  30.98851 +/- 0.5671 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  49.78835 +/- 0.2733 deg
  Bg     =  +3.67974 +/- 0.5475 deg
  Vh     =  38.39646 +/- 0.0697 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 359.01996 +/- 0.1917 deg
  Bh     =  +2.75247 +/- 0.4132 deg
  Vh_x   = -38.34655 +/- 0.0731 km/s
  Vh_y   =   0.65598 +/- 0.1296 km/s
  Vh_z   =  -1.84384 +/- 0.2758 km/s
Orbit:
  La Sun = 220.509136 +/- 0.0000 deg
  a      =   2.825179 +/- 0.0491 AU
  e      =   0.863202 +/- 0.0011
  i      =   4.151470 +/- 0.6281 deg
  peri   = 288.531965 +/- 0.5641 deg
  node   = 220.500038 +/- 0.0030 deg
  Pi     = 149.032004 +/- 0.5655 deg
  q      =   0.386479 +/- 0.0040 AU
  f      = 251.477898 +/- 0.5655 deg
  M      = 351.353786 +/- 0.2213 deg
  Q      =   5.263879 +/- 0.0944 AU
  n      =   0.207556 +/- 0.0053 deg/day
  T      =   4.748643 +/- 0.1244 years
  Last perihelion JD = 2457828.708737 (2017-03-16 05:00:34.914127) +/- 45.4497 days
  Tj     =   2.584099 +/- 0.0273
Shower association:
  IAU No.  =   17
  IAU code =  NTA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.196653e-06, +3.503467e-06, -4.741657e-02, -2.107791e-06, -5.173680e-04, -4.391624e-04
q   , +3.503467e-06, +1.672388e-05, -1.830870e-01, -5.826030e-06, -2.365362e-03, -1.079140e-03
Tp  , -4.741657e-02, -1.830870e-01, +2.182121e+03, +8.166258e-02, +2.632188e+01, +1.608025e+01
node, -2.107791e-06, -5.826030e-06, +8.166258e-02, +9.476248e-06, +8.587321e-04, +1.965659e-03
peri, -5.173680e-04, -2.365362e-03, +2.632188e+01, +8.587321e-04, +3.355901e-01, +1.612339e-01
i   , -4.391624e-04, -1.079140e-03, +1.608025e+01, +1.965659e-03, +1.612339e-01, +4.244215e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.152712
 a2 = 19.415986

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 2.567e-05 s
  Stddev    = 5.07e-03 s

Begin point on the trajectory:
  Lon =    -1.796459 +/- 0.0004 deg
  Lat =    52.427456 +/- 0.0004 deg
  Ht  = 96811.16 +/- 65.81 m
End point on the trajectory:
  Lon =    -1.791641 +/- 0.0004 deg
  Lat =    52.483304 +/- 0.0004 deg
  Ht  = 85921.47 +/- 59.39 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,   0.180347,  18.997964,    96811.16,    85921.47,          0.018165,     30.38,     21.01,              63.46, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20211103_003245_939_0663296.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000305,  36.244433,    95134.99,    87028.80,          0.021896,     43.82,     24.84,              72.34, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20211103_003248_336_0656640.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,  0.000000, 2459521.522808583453, 337.39031,  72.60648,              331.16406,  53.87848,       331.20781,       53.88692,    337.39031,     +72.60648,     337.41067,      +72.63293,  2600354.22,  2981865.46,  5108716.27,      52.427456,       -1.796459,   96811.16,  119267.88,       0.00,               61.08,   216.74,      0.00,           29342.97,     32.13,     46.46,          97.69,  +4.27,  +3.89
  1,     UK001L,       0,  0.040440, 2459521.522809051443, 335.53097,  72.73531,              331.47668,  53.34100,       331.49519,       53.34456,    335.53097,     +72.73531,     335.53873,      +72.74670,  2599512.79,  2980974.19,  5108211.76,      52.433326,       -1.795927,   95664.50,  118665.81,    1325.48,             1386.56,   296.68,  32776.41,           29342.97,     13.68,     19.78,          41.80,  +5.81,  +5.44
  2,     UK001L,       0,  0.121224, 2459521.522809986491, 332.15714,  72.90186,              331.98267,  52.37799,       331.98623,       52.37867,    332.15714,     +72.90186,     332.15872,      +72.90411,  2598038.09,  2979412.15,  5107327.56,      52.443621,       -1.795035,   93654.98,  117639.97,    3648.52,             3709.60,   131.60,  28756.16,           29342.97,      2.66,      3.85,           8.20,  +3.54,  +3.19
  3,     UK001L,       0,  0.161616, 2459521.522810454015, 330.48461,  72.94096,              332.18770,  51.90159,       332.21743,       51.90730,    330.48461,     +72.94096,     330.49253,      +72.96006,  2597328.72,  2978660.77,  5106902.24,      52.448575,       -1.794612,   92688.40,  117159.82,    4765.96,             4827.04,     4.98,  27664.93,           29342.97,     22.35,     32.32,          69.17,  +3.63,  +3.29
  4,     UK001L,       0,  0.202048, 2459521.522810922004, 328.56334,  73.04100,              332.52985,  51.37174,       332.47991,       51.36216,    328.56334,     +73.04100,     328.55538,      +73.00848,  2596515.81,  2977799.70,  5106414.83,      52.454254,       -1.794102,   91580.77,  116619.81,    6046.52,             6107.60,    40.25,  31672.00,           29530.66,    -37.76,    -54.60,         117.42,  +5.22,  +4.89
  5,     UK001L,       0,  0.242480, 2459521.522811389994, 326.70834,  73.04489,              332.73470,  50.84624,       332.72289,       50.84397,    326.70834,     +73.04489,     326.70808,      +73.03711,  2595750.89,  2976989.48,  5105956.21,      52.459599,       -1.793632,   90538.58,  116122.47,    7251.46,             7312.54,    -0.10,  29801.67,           29625.34,     -8.98,    -12.99,          28.04,  +3.01,  +2.69
  6,     UK001L,       0,  0.282852, 2459521.522811857052, 325.09162,  73.05547,              332.94109,  50.39335,       332.92949,       50.39113,    325.09162,     +73.05547,     325.09225,      +73.04776,  2595088.70,  2976288.06,  5105559.17,      52.464228,       -1.793248,   89636.37,  115700.74,    8294.60,             8355.68,  -200.41,  25838.12,           29349.94,     -8.87,    -12.82,          27.79,  +2.77,  +2.45
  7,     UK001L,       0,  0.323284, 2459521.522812325042, 323.21937,  73.05055,              333.17324,  49.86830,       333.16498,       49.86672,    323.21937,     +73.05055,     323.22092,      +73.04500,  2594327.97,  2975482.28,  5105103.05,      52.469548,       -1.792780,   88599.97,  115225.51,    9492.94,             9554.02,  -247.36,  29638.43,           29239.17,     -6.35,     -9.18,          19.99,  +2.57,  +2.26
  8,     UK001L,       0,  0.363768, 2459521.522812793963, 321.12667,  73.02753,              333.43118,  49.28076,       333.42348,       49.27928,    321.12667,     +73.02753,     321.12900,      +73.02231,  2593483.61,  2974587.90,  5104596.79,      52.475454,       -1.792243,   87449.68,  114710.00,   10823.04,            10884.12,  -164.15,  32854.92,           29384.69,     -5.96,     -8.62,          18.84,  +2.65,  +2.35
  9,     UK001L,       0,  0.404204, 2459521.522813261952, 319.31099,  72.95347,              333.59867,  48.75587,       333.64367,       48.76448,    319.31099,     +72.95347,     319.30465,      +72.98427,  2592750.78,  2973811.67,  5104157.40,      52.480582,       -1.791799,   86451.36,  114273.66,   11977.44,            12038.52,  -255.16,  28548.89,           29425.22,     35.04,     50.67,         111.20,  +3.99,  +3.70
 10,     UK001L,       0,  0.444428, 2459521.522813727148, 318.33714,  72.94112,              333.73587,  48.48479,       333.75572,       48.48859,    318.33714,     +72.94112,     318.33469,      +72.95475,  2592361.85,  2973399.70,  5103924.21,      52.483304,       -1.791641,   85921.47,  114047.67,   12590.11,            12651.19,  -881.38,  15231.34,           28884.17,     15.50,     22.42,          49.29,  +5.28,  +4.99
  0,     UK003X,       0,  0.062468, 2459521.522809303831, 150.15938,  72.47349,               24.74351,  45.23148,        24.71644,       45.23514,    150.15938,     +72.47349,     150.18131,      +72.49177,  2599124.21,  2980562.60,  5107978.78,      52.436038,       -1.795694,   95134.99,  132854.17,       0.00,             1998.67,   230.32,      0.00,           28723.13,    -22.19,    -39.15,          69.86,  +5.07,  +4.45
  1,     UK003X,       0,  0.102808, 2459521.522809770424, 151.46510,  72.34072,               24.61623,  44.82494,        24.59939,       44.82721,    151.46510,     +72.34072,     151.47982,      +72.35209,  2598482.89,  2979883.29,  5107594.25,      52.440515,       -1.795328,   94261.07,  132553.27,    1010.26,             3008.93,    -1.88,  25043.58,           28723.13,    -13.88,    -24.48,          43.78,  +5.81,  +5.20
  2,     UK003X,       0,  0.143208, 2459521.522810238414, 152.88749,  72.14220,               24.52643,  44.35215,        24.46831,       44.36000,    152.88749,     +72.14220,     152.94038,      +72.18134,  2597752.42,  2979109.56,  5107156.28,      52.445616,       -1.794888,   93265.71,  132219.58,    2160.94,             4159.61,   -95.50,  28482.24,           28723.13,    -48.11,    -84.90,         152.24,  +3.86,  +3.25
  3,     UK003X,       0,  0.183648, 2459521.522810706403, 154.62364,  71.99185,               24.28788,  43.82397,        24.32035,       43.81959,    154.62364,     +71.99185,     154.59325,      +71.97006,  2596912.66,  2978220.06,  5106652.78,      52.451481,       -1.794356,   92121.48,  131847.84,    3483.79,             5482.46,   -18.20,  32711.31,           28723.13,     27.06,     47.70,          85.79,  +6.13,  +5.53
  4,     UK003X,       0,  0.224132, 2459521.522811174858, 156.28576,  71.72797,               24.17418,  43.24898,        24.16760,       43.24987,    156.28576,     +71.72797,     156.29338,      +71.73237,  2596032.76,  2977288.05,  5106125.21,      52.457629,       -1.793790,   90922.63,  131471.63,    4869.86,             6868.53,   120.98,  34237.48,           30219.54,     -5.52,     -9.73,          17.55,  +3.15,  +2.56
  5,     UK003X,       0,  0.264512, 2459521.522811642382, 157.54458,  71.51011,               24.09082,  42.80031,        24.04910,       42.80593,    157.54458,     +71.51011,     157.58977,      +71.53792,  2595350.27,  2976565.13,  5105716.00,      52.462400,       -1.793389,   89992.75,  131188.36,    5944.97,             7943.64,   -47.60,  26624.83,           30133.30,    -35.14,    -61.99,         112.04,  +2.57,  +1.98
  6,     UK003X,       0,  0.304996, 2459521.522812110838, 159.21415,  71.26489,               23.91070,  42.22897,        23.89994,       42.23042,    159.21415,     +71.26489,     159.22734,      +71.27202,  2594470.70,  2975633.46,  5105188.63,      52.468550,       -1.792823,   88794.45,  130836.43,    7330.52,             9329.19,    91.06,  34224.75,           30541.64,     -9.12,    -16.08,          29.13,  +3.31,  +2.73
  7,     UK003X,       0,  0.345352, 2459521.522812577896, 160.42091,  71.07509,               23.77880,  41.80693,        23.78984,       41.80545,    160.42091,     +71.07509,     160.40971,      +71.06780,  2593823.80,  2974948.24,  5104800.76,      52.473074,       -1.792450,   87913.12,  130585.41,    8349.57,            10348.24,  -132.84,  25251.40,           30271.59,      9.40,     16.58,          30.11,  +2.85,  +2.27
  8,     UK003X,       0,  0.385712, 2459521.522813044954, 161.60105,  70.86977,               23.65748,  41.38037,        23.68043,       41.37729,    161.60105,     +70.86977,     161.57561,      +70.85468,  2593174.68,  2974260.67,  5104411.56,      52.477615,       -1.792075,   87028.80,  130341.06,    9372.11,            11370.77,  -353.38,  25335.44,           29817.05,     19.64,     34.62,          62.99,  +3.62,  +3.04

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.