Orbital Analysis for matched events on 20210929_231711.129_UK

Summary for Event
-----------------
shower ID 17 NTA
Lg 22.43° Bg 6.92° Vg 32.03km/s
mass 0.36042g, abs. mag -1.8
Path Details
------------
start -3.39° 54.15° 90.63km
end   -3.48° 54.23° 78.53km

Orbit Details
-------------
Semimajor axis 2.58A.U., eccentricity 0.89, inclination 10.35°, Period 4.15Y, LA Sun 186.73°, last Perihelion 2017-09-13

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: 2459487.470267700497
Time: 2021-09-29 23:17:11.129323 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002Z and UK003Y
 Convergence angle = 45.66134 deg
 R.A. =  18.26268  Dec = +16.36906 deg

Best intersection: Stations UK002Z and UK003Y with Qconv = 45.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3781250.12 +/- 189.30 m
 Y =   -341298.84 +/- 51.53 m
 Z =   5220231.17 +/- 30.60 m
 Vx =    30938.64 +/- 519.74 m/s
 Vy =    10007.96 +/- 541.18 m/s
 Vz =     9578.66 +/- 210.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.273096e+04, -4.721892e+03, +3.879533e+03, +1.827944e+04, -3.535272e+04, -6.167892e+03
-4.721892e+03, +1.381161e+03, -6.859206e+02, -6.487495e+03, +8.425120e+03, +9.492964e+02
+3.879533e+03, -6.859206e+02, +8.728997e+02, +2.374779e+02, -5.193575e+03, -9.441165e+02
+1.827944e+04, -6.487495e+03, +2.374779e+02, +1.034400e+05, -3.846928e+04, +8.476906e+03
-3.535272e+04, +8.425120e+03, -5.193575e+03, -3.846928e+04, +7.005406e+04, +1.364452e+04
-6.167892e+03, +9.492964e+02, -9.441165e+02, +8.476906e+03, +1.364452e+04, +7.939412e+03

Timing offsets (from input data):
    UK002Z: 0.002977 s
    UK003Y: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 23:17:11.129323 UTC
  Lon     = +-3.385523 +/- 0.0005 deg
  Lat     = +54.152289 +/- 0.0012 deg
  Lat geo = +53.971980 +/- 0.0012 deg
  Ht      =   90675.31 +/- 135.44 m

  JD dynamic   = 2459487.471068441402 
  LST apparent = 354.8424103930 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  17.92524 +/- 0.8027 deg
  Dec       = +16.41357 +/- 0.1777 deg
  Azimuth   = 145.62693 +/- 1.1724 deg
  Elevation = +48.23082 +/- 0.1234 deg
  Vavg      =  33.54866 +/- 0.3108 km/s
  Vinit     =  33.89852 +/- 0.3897 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  18.37251 +/- 0.8027 deg
  Dec       = +16.36141 +/- 0.1777 deg
  Azimuth   = 145.05112 +/- 1.1724 deg
  Elevation = +48.03295 +/- 0.1234 deg
  Vavg      =  33.65375 +/- 0.3108 km/s
  Vinit     =  34.00361 +/- 0.3897 km/s
Radiant (geocentric, J2000):
  R.A.   =  18.08168 +/- 0.8244 deg
  Dec    = +15.13749 +/- 0.1638 deg
  Vg     =  32.02513 +/- 0.4117 km/s
  Vinf   =  33.89852 +/- 0.3897 km/s
  Zc     =  41.62045 +/- 0.1251 deg
  Zg     =  42.85807 +/- 0.1499 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  22.42835 +/- 0.7980 deg
  Bg     =  +6.91652 +/- 0.1813 deg
  Vh     =  37.79022 +/- 0.5743 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 332.52110 +/- 0.3247 deg
  Bh     =  +5.86061 +/- 0.1345 deg
  Vh_x   = -33.35152 +/- 0.5071 km/s
  Vh_y   =  17.34610 +/- 0.3243 km/s
  Vh_z   =  -3.85871 +/- 0.1466 km/s
Orbit:
  La Sun = 186.729134 +/- nan deg
  a      =   2.583795 +/- 0.4784 AU
  e      =   0.893304 +/- 0.0116
  i      =  10.345076 +/- 0.2552 deg
  peri   = 302.410147 +/- 1.7556 deg
  node   = 186.736418 +/- 0.0002 deg
  Pi     = 129.146564 +/- 1.7557 deg
  q      =   0.275680 +/- 0.0084 AU
  f      = 237.582954 +/- 1.7557 deg
  M      = 350.539493 +/- 1.7186 deg
  Q      =   4.891909 +/- 0.9500 AU
  n      =   0.237311 +/- 0.0422 deg/day
  T      =   4.153246 +/- 1.2762 years
  Last perihelion JD = 2458010.337086 (2017-09-13 20:05:24.223039) +/- 466.4783 days
  Tj     =   2.637277 +/- 0.2497
Shower association:
  IAU No.  =   17
  IAU code =  NTA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.505215e-05, +1.932093e-05, -1.962039e+00, -1.152308e-08, -1.040029e-04, +1.835057e-05
q   , +1.932093e-05, +4.256342e-05, -1.045951e+00, -3.369715e-11, -1.263896e-04, +2.607951e-07
Tp  , -1.962039e+00, -1.045951e+00, +7.458220e+04, +3.804717e-04, +4.597293e+00, -6.090855e-01
node, -1.152308e-08, -3.369715e-11, +3.804717e-04, +4.563000e-12, +1.163085e-08, -7.175691e-09
peri, -1.040029e-04, -1.263896e-04, +4.597293e+00, +1.163085e-08, +4.223420e-04, -1.903818e-05
i   , +1.835057e-05, +2.607951e-07, -6.090855e-01, -7.175691e-09, -1.903818e-05, +1.129027e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.069958
 a2 = 15.078071

Mean time residuals from time vs. length:
  Station with reference time: UK003Y
  Avg. res. = 1.053e-06 s
  Stddev    = 1.03e-03 s

Begin point on the trajectory:
  Lon =    -3.385851 +/- 0.0005 deg
  Lat =    54.152571 +/- 0.0013 deg
  Ht  = 90632.20 +/- 137.22 m
End point on the trajectory:
  Lon =    -3.480378 +/- 0.0007 deg
  Lat =    54.231766 +/- 0.0014 deg
  Ht  = 78529.40 +/- 141.41 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
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000001,  57.499139,    89609.21,    82588.68,          0.016431,     64.35,     14.83,             100.45, 1.0000,    True,   False, {"ff_name": "FF_UK002Z_20210929_231708_079_0450048.fits"}
    UK003Y,   False,    -3.059440,    54.994170,   18.00,   0.000001,  38.424761,    90632.20,    78529.40,          0.009672,     21.43,      0.55,              32.86, 1.0000,    True,    True, {"ff_name": "FF_UK003Y_20210929_231703_959_0432896.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,     UK002Z,       0,  0.040221, 2459487.470268131699, 265.35580,  29.62888,              290.46983,  22.03468,       290.45403,       22.02804,    265.35580,     +29.62888,     265.36399,      +29.61440,  3779945.46,  -341720.87,  5219827.25,      54.159252,       -3.393794,   89609.21,  229529.44,       0.00,             1429.48,    16.46,      0.00,           33801.44,     14.47,    -62.76,          57.88,  +2.63,  +0.83
  1,     UK002Z,       0,  0.080449, 2459487.470268597361, 265.02509,  29.46348,              290.59409,  21.72351,       290.60009,       21.72603,    265.02509,     +29.46348,     265.02234,      +29.46898,  3778715.90,  -342118.61,  5219446.57,      54.165816,       -3.401616,   88604.60,  229785.87,    1347.19,             2776.67,    -0.02,  33488.89,           33801.44,     -5.50,     23.89,          22.00,  +1.68,  -0.13
  2,     UK002Z,       0,  0.120653, 2459487.470269062556, 264.66545,  29.34542,              290.77245,  21.43267,       290.74655,       21.42179,    264.66545,     +29.34542,     264.67930,      +29.32167,  3777474.92,  -342520.03,  5219062.36,      54.172442,       -3.409513,   87590.76,  230052.34,    2706.89,             4136.37,    -3.18,  33819.98,           33801.44,     23.86,   -103.48,          95.22,  +1.09,  -0.72
  3,     UK002Z,       0,  0.160901, 2459487.470269528683, 264.34783,  29.14855,              290.86729,  21.10442,       290.89339,       21.11539,    264.34783,     +29.14855,     264.33496,      +29.17251,  3776222.70,  -342925.10,  5218674.67,      54.179129,       -3.417486,   86567.85,  230329.01,    4078.91,             5508.38,     4.49,  34089.11,           33801.44,    -24.10,    104.65,          96.17,  +1.34,  -0.47
  4,     UK002Z,       0,  0.201097, 2459487.470269993879, 263.99958,  29.03612,              291.04254,  20.82430,       291.03395,       20.82069,    263.99958,     +29.03612,     264.00489,      +29.02824,  3775016.03,  -343315.43,  5218301.09,      54.185575,       -3.425179,   85582.25,  230603.40,    5401.03,             6830.50,   -35.98,  32891.77,           33649.03,      7.95,    -34.51,          31.67,  +1.07,  -0.74
  5,     UK002Z,       0,  0.241333, 2459487.470270459540, 263.62307,  28.87703,              291.20722,  20.49249,       291.19284,       20.48645,    263.62307,     +28.87703,     263.63162,      +28.86383,  3773643.90,  -343759.28,  5217876.27,      54.192907,       -3.433910,   84461.66,  230922.94,    6904.42,             8333.90,   103.48,  37364.47,           34136.46,     13.37,    -58.01,          53.17,  +1.50,  -0.32
  6,     UK002Z,       0,  0.281537, 2459487.470270924736, 263.32561,  28.73131,              291.32444,  20.21481,       291.32169,       20.21366,    263.32561,     +28.73131,     263.32822,      +28.72878,  3772522.39,  -344122.07,  5217529.05,      54.198901,       -3.441081,   83545.82,  231192.84,    8133.23,             9562.71,   -30.57,  30564.29,           33927.97,      2.56,    -11.12,          10.18,  +1.22,  -0.60
  7,     UK002Z,       0,  0.321737, 2459487.470271389931, 263.00511,  28.59813,              291.46739,  19.93412,       291.45560,       19.92918,    263.00511,     +28.59813,     263.01270,      +28.58731,  3771350.18,  -344501.25,  5217166.13,      54.205167,       -3.448573,   82588.68,  231481.18,    9417.58,            10847.05,  -108.94,  31948.97,           33676.26,     11.01,    -47.77,          43.68,  +1.14,  -0.68
  0,     UK003Y,       0,  0.000000, 2459487.470267700497, 345.67454,   8.30863,              192.83253,  42.70525,       192.83100,       42.70285,    345.67454,      +8.30863,     345.67535,       +8.30610,  3781197.36,  -341315.91,  5220214.84,      54.152571,       -3.385851,   90632.20,  132529.39,       0.00,               57.80,     8.22,      0.00,           34018.28,     -0.16,     -6.13,           9.54,  +2.30,  +1.69
  1,     UK003Y,       0,  0.040188, 2459487.470268165693, 345.39171,   8.21227,              193.19266,  42.57319,       193.19601,       42.57841,    345.39171,      +8.21227,     345.39011,       +8.21778,  3780061.11,  -341683.46,  5219863.05,      54.158635,       -3.393087,   89703.71,  131482.68,    1244.95,             1302.76,  -109.14,  30978.26,           34018.28,      0.34,     13.25,          20.79,  +0.62,  +0.03
  2,     UK003Y,       0,  0.080408, 2459487.470268631354, 345.04407,   8.10879,              193.63629,  42.42437,       193.63705,       42.42555,    345.04407,      +8.10879,     345.04400,       +8.11003,  3778702.02,  -342123.10,  5219442.27,      54.165890,       -3.401715,   88593.26,  130235.00,    2734.07,             2791.87,    16.58,  37024.28,           34018.28,      0.08,      2.96,           4.69,  +0.24,  -0.33
  3,     UK003Y,       0,  0.120620, 2459487.470269096550, 344.73585,   7.98961,              194.02289,  42.26409,       194.03664,       42.28510,    344.73585,      +7.98961,     344.72916,       +8.01185,  3777489.16,  -342515.43,  5219066.77,      54.172366,       -3.409437,   87602.39,  129126.15,    4062.96,             4120.77,   -17.66,  33047.15,           34018.28,      1.36,     52.60,          84.05,  +0.18,  -0.38
  4,     UK003Y,       0,  0.160828, 2459487.470269561745, 344.38770,   7.90292,              194.46688,  42.12913,       194.46815,       42.13105,    344.38770,      +7.90292,     344.38771,       +7.90496,  3776195.07,  -342934.04,  5218666.12,      54.179277,       -3.417670,   86545.28,  127947.62,    5480.86,             5538.66,    37.24,  35263.96,           34270.50,      0.12,      4.78,           7.72,  +0.06,  -0.48
  5,     UK003Y,       0,  0.201032, 2459487.470270027407, 344.08478,   7.79434,              194.84524,  41.97776,       194.85431,       41.99137,    344.08478,      +7.79434,     344.08092,       +7.80880,  3775053.84,  -343303.20,  5218312.79,      54.185373,       -3.424955,   85613.14,  126912.67,    6731.26,             6789.07,   -75.21,  31101.55,           33889.90,      0.87,     33.63,          54.68,  +0.20,  -0.32
  6,     UK003Y,       0,  0.241268, 2459487.470270493068, 343.71014,   7.68312,              195.31575,  41.81189,       195.32101,       41.81969,    343.71014,      +7.68312,     343.70845,       +7.69142,  3773688.66,  -343744.81,  5217890.13,      54.192668,       -3.433643,   84498.20,  125679.45,    8227.06,             8284.86,    56.65,  37175.51,           34106.25,      0.49,     19.13,          31.41,  +0.09,  -0.41
  7,     UK003Y,       0,  0.281480, 2459487.470270958263, 343.37372,   7.58032,              195.73586,  41.65867,       195.73922,       41.66362,    343.37372,      +7.58032,     343.37317,       +7.58560,  3772483.63,  -344134.61,  5217517.05,      54.199108,       -3.441336,   83514.17,  124596.01,    9547.37,             9605.17,    13.83,  32833.70,           34090.33,      0.31,     12.07,          19.99,  +0.07,  -0.41
  8,     UK003Y,       0,  0.321704, 2459487.470271423925, 343.03460,   7.46581,              196.15522,  41.49217,       196.16282,       41.50322,    343.03460,      +7.46581,     343.03208,       +7.47763,  3771278.22,  -344524.53,  5217143.85,      54.205552,       -3.449035,   82529.93,  123516.91,   10868.10,            10925.90,   -28.98,  32834.38,           33999.14,      0.69,     26.78,          44.73,  -0.10,  -0.56
  9,     UK003Y,       0,  0.361932, 2459487.470271889586, 342.67838,   7.35479,              196.59576,  41.32502,       196.60220,       41.33430,    342.67838,      +7.35479,     342.67663,       +7.36474,  3770043.00,  -344924.10,  5216761.43,      54.212157,       -3.456926,   81521.46,  122416.06,   12221.49,            12279.30,   -39.25,  33643.17,           33933.29,      0.57,     22.35,          37.68,  +0.06,  -0.38
 10,     UK003Y,       0,  0.402172, 2459487.470272355247, 342.29565,   7.24334,              197.06865,  41.15157,       197.06894,       41.15199,    342.29565,      +7.24334,     342.29718,       +7.24379,  3768746.90,  -345343.35,  5216360.15,      54.219089,       -3.465203,   80463.42,  121266.44,   13641.58,            13699.39,    16.77,  35290.50,           33959.12,      0.03,      0.99,           1.69,  +0.02,  -0.40
 11,     UK003Y,       0,  0.442404, 2459487.470272820909, 341.93904,   7.12691,              197.50440,  40.97608,       197.50622,       40.97866,    341.93904,      +7.12691,     341.93997,       +7.12968,  3767549.39,  -345730.72,  5215989.40,      54.225495,       -3.472868,   79485.95,  120209.64,   14953.66,            15011.46,   -34.96,  32612.80,           33922.21,      0.16,      6.12,          10.51,  +0.49,  +0.09
 12,     UK003Y,       0,  0.482632, 2459487.470273286570, 341.58112,   7.01937,              197.94190,  40.80772,       197.93953,       40.80440,    341.58112,      +7.01937,     341.58432,       +7.01578,  3766377.39,  -346109.84,  5215626.55,      54.231766,       -3.480378,   78529.40,  119180.41,   16237.79,            16295.59,  -114.51,  31921.18,           33833.91,     -0.20,     -7.85,          13.59,  +0.92,  +0.54
 13,     UK003Y,       1,  0.522792, 2459487.470273751300, 341.31430,   6.95109,              198.26962,  40.69298,       198.25709,       40.67553,    341.31430,      +6.95109,     341.32272,       +6.93220,  3765532.20,  -346383.24,  5215364.88,      54.236289,       -3.485842,   77839.59,  118441.99,   17163.83,            17221.64,  -549.82,  23058.94,           33471.05,     -1.04,    -41.06,          71.53,  +4.92,  +4.55

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.