Orbital Analysis for matched events on 20210810_013449.358_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 16.76° Bg -18.35° Vg 61.68km/s
mass 0.03094g, abs. mag -0.6
Path Details
------------
start -2.14° 52.46° 108.99km
end   -2.40° 52.62° 100.65km

Orbit Details
-------------
Semimajor axis 33.02A.U., eccentricity 0.99, inclination 137.23°, Period 189.74Y, LA Sun 137.37°, last Perihelion 1831-12-20

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: 2459436.565849057864
Time: 2021-08-10 01:34:49.358599 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001L
 Convergence angle = 33.53289 deg
 R.A. =  22.69198  Dec =  -9.73136 deg

Best intersection: Stations UK000S and UK001L with Qconv = 33.53 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3729541.55 +/- 31.64 m
 Y =  -1333382.96 +/- 66.10 m
 Z =   5120762.23 +/- 155.08 m
 Vx =    57087.00 +/- 473.14 m/s
 Vy =    23616.21 +/- 309.06 m/s
 Vz =   -10517.60 +/- 508.32 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.686245e+03, +2.584205e+03, -4.548860e+03, -6.052000e+02, -4.230462e+02, -4.877068e+03
+2.584205e+03, +4.618022e+03, -8.809715e+03, -1.783627e+03, -6.022777e+02, -1.412040e+04
-4.548860e+03, -8.809715e+03, +2.215935e+04, +4.200040e+03, +7.730815e+03, +3.468197e+04
-6.052000e+02, -1.783627e+03, +4.200040e+03, +1.338104e+03, +3.382317e+02, +1.051029e+04
-4.230462e+02, -6.022777e+02, +7.730815e+03, +3.382317e+02, +9.614024e+03, +4.926578e+03
-4.877068e+03, -1.412040e+04, +3.468197e+04, +1.051029e+04, +4.926578e+03, +8.309758e+04

Timing offsets (from input data):
    UK000S: 0.000027 s
    UK001L: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:34:49.358599 UTC
  Lon     = +-2.136710 +/- 0.0009 deg
  Lat     = +52.462257 +/- 0.0008 deg
  Lat geo = +52.279299 +/- 0.0008 deg
  Ht      =  108979.76 +/- 134.00 m

  JD dynamic   = 2459436.566649798770 
  LST apparent = 340.3270511737 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  22.47430 +/- 0.2264 deg
  Dec       =  -9.66171 +/- 0.5223 deg
  Azimuth   = 135.86619 +/- 0.1159 deg
  Elevation = +18.19475 +/- 0.5561 deg
  Vavg      =  61.98283 +/- 0.3201 km/s
  Vinit     =  62.66794 +/- 0.3161 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  22.67227 +/- 0.2264 deg
  Dec       =  -9.63200 +/- 0.5223 deg
  Azimuth   = 135.66736 +/- 0.1159 deg
  Elevation = +18.13741 +/- 0.5561 deg
  Vavg      =  62.17426 +/- 0.3201 km/s
  Vinit     =  62.85938 +/- 0.3161 km/s
Radiant (geocentric, J2000):
  R.A.   =  22.49555 +/- 0.2279 deg
  Dec    = -10.36687 +/- 0.5222 deg
  Vg     =  61.67764 +/- 0.3211 km/s
  Vinf   =  62.66794 +/- 0.3161 km/s
  Zc     =  71.67399 +/- 0.5560 deg
  Zg     =  72.33308 +/- 0.5562 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  16.76223 +/- 0.1099 deg
  Bg     = -18.34894 +/- 0.5584 deg
  Vh     =  41.51323 +/- 0.4168 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 352.27196 +/- 0.1738 deg
  Bh     = -27.88429 +/- 0.7392 deg
  Vh_x   = -36.36002 +/- 0.1164 km/s
  Vh_y   =   4.93419 +/- 0.1116 km/s
  Vh_z   =  19.41522 +/- 0.6753 km/s
Orbit:
  La Sun = 137.372313 +/- -0.0000 deg
  a      =  33.019813 +/- 175.6706 AU
  e      =   0.985552 +/- 0.0202
  i      = 137.233462 +/- 0.8467 deg
  peri   =  93.819523 +/- 2.0160 deg
  node   = 317.377300 +/- 0.0001 deg
  Pi     =  51.196823 +/- 2.0161 deg
  q      =   0.477083 +/- 0.0130 AU
  f      = 266.185670 +/- 2.0160 deg
  M      = 359.792941 +/- nan deg
  Q      =  65.562543 +/- 351.3415 AU
  n      =   0.005194 +/- 0.0104 deg/day
  T      = 189.741599 +/- 442216401.9180 years
  Last perihelion JD = 2390172.101570 (1831-12-20 14:26:15.644816) +/- 125177.6241 days
  Tj     =  -0.468800 +/- 0.2088
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.078861e-05, +8.742439e-06, -6.271968e+02, -5.580530e-09, -2.855341e-05, -4.268292e-05
q   , +8.742439e-06, +8.777363e-06, -3.523541e+02, -2.032364e-09, -2.210401e-05, -1.556721e-05
Tp  , -6.271968e+02, -3.523541e+02, +2.099218e+10, +1.626512e-01, +1.036623e+03, +1.245358e+03
node, -5.580530e-09, -2.032364e-09, +1.626512e-01, +1.517555e-12, +7.042578e-09, +1.160526e-08
peri, -2.855341e-05, -2.210401e-05, +1.036623e+03, +7.042578e-09, +5.920208e-05, +5.390983e-05
i   , -4.268292e-05, -1.556721e-05, +1.245358e+03, +1.160526e-08, +5.390983e-05, +8.875097e-05

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: UK001L
  Avg. res. = 5.706e-06 s
  Stddev    = 2.39e-03 s

Begin point on the trajectory:
  Lon =    -2.136274 +/- 0.0009 deg
  Lat =    52.461983 +/- 0.0008 deg
  Ht  = 108993.99 +/- 131.90 m
End point on the trajectory:
  Lon =    -2.396607 +/- 0.0012 deg
  Lat =    52.623816 +/- 0.0008 deg
  Ht  = 100650.44 +/- 108.37 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   107730.46,   101320.65,          0.026358,    100.26,      8.02,             119.99, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_013442_949_0473600.fits"}
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108993.99,   100650.44,          0.015916,     37.73,     13.47,             110.78, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_013441_514_0456704.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,     UK000S,       0,  0.077736, 2459436.565849921200, 180.28360,  67.60971,              351.56875,  29.37904,       351.53593,       29.40267,    180.28360,     +67.60971,     180.37185,      +67.62567,  3725894.06, -1334891.88,  5121434.23,      52.486378,       -2.175367,  107730.46,  213933.69,       0.00,             4004.07,  -183.45,      0.00,           63607.24,    -11.08,   -138.06,         133.54,  +2.49,  +0.84
  1,     UK000S,       0,  0.118132, 2459436.565850388724, 181.02741,  67.02833,              351.08629,  28.88644,       351.06264,       28.90340,    181.02741,     +67.02833,     181.09016,      +67.03955,  3723335.00, -1335950.53,  5121905.71,      52.503298,       -2.202472,  106855.26,  215361.67,    2809.24,             6813.31,    94.25,  69542.53,           63607.24,     -8.03,   -100.27,          96.34,  +2.00,  +0.33
  2,     UK000S,       0,  0.158488, 2459436.565850855783, 181.62602,  66.51125,              350.67655,  28.44615,       350.65111,       28.46434,    181.62602,     +66.51125,     181.69264,      +66.52309,  3721063.18, -1336890.36,  5122324.27,      52.518319,       -2.226578,  106079.20,  216652.36,    5303.17,             9307.23,    59.15,  61798.17,           63607.24,     -8.70,   -108.68,         103.80,  +1.91,  +0.23
  3,     UK000S,       0,  0.198820, 2459436.565851322375, 182.20006,  66.01669,              350.27762,  28.02847,       350.25913,       28.04166,    182.20006,     +66.01669,     182.24815,      +66.02513,  3718856.06, -1337803.42,  5122730.90,      52.532910,       -2.250022,  105326.06,  217926.51,    7726.05,            11730.12,   -45.49,  60073.47,           63607.24,     -6.36,    -79.56,          75.54,  +2.15,  +0.46
  4,     UK000S,       0,  0.239172, 2459436.565851789434, 182.76210,  65.49914,              349.87100,  27.59057,       349.85552,       27.60158,    182.76210,     +65.49914,     182.80208,      +65.50607,  3716536.34, -1338763.06,  5123158.28,      52.548244,       -2.274677,  104535.36,  219286.64,   10272.55,            14276.62,   -27.77,  63107.17,           63093.70,     -5.36,    -67.12,          63.34,  +2.13,  +0.42
  5,     UK000S,       0,  0.279520, 2459436.565852256492, 183.28024,  64.98150,              349.47826,  27.15079,       349.45892,       27.16452,    183.28024,     +64.98150,     183.32942,      +64.99000,  3714209.57, -1339725.62,  5123586.96,      52.563623,       -2.299429,  103743.15,  220672.16,   12826.79,            16830.86,    -2.05,  63305.22,           62977.13,     -6.75,    -84.52,          79.26,  +4.26,  +2.54
  6,     UK000S,       0,  0.319828, 2459436.565852723084, 183.88051,  64.49387,              349.05130,  26.75262,       349.07432,       26.73635,    183.88051,     +64.49387,     183.82546,      +64.48396,  3711907.06, -1340678.14,  5124011.17,      52.578841,       -2.323948,  102960.07,  222063.84,   15354.40,            19358.47,    -0.46,  62707.39,           62906.63,      8.02,    101.32,          94.40,  +3.98,  +2.25
  7,     UK000S,       0,  0.360232, 2459436.565853190608, 184.26507,  63.91603,              348.69101,  26.24474,       348.65822,       26.26789,    184.26507,     +63.91603,     184.34560,      +63.92995,  3709360.47, -1341731.63,  5124480.35,      52.595670,       -2.351074,  102095.02,  223626.22,   18149.95,            22154.02,   263.06,  69190.02,           63401.62,    -11.66,   -145.62,         134.74,  +3.45,  +1.70
  8,     UK000S,       0,  0.400528, 2459436.565853657201, 184.79282,  63.43931,              348.29055,  25.85412,       348.29271,       25.85261,    184.79282,     +63.43931,     184.78935,      +63.43841,  3707078.19, -1342675.79,  5124900.83,      52.610752,       -2.375426,  101320.65,  225047.11,   20655.36,            24659.42,   243.19,  62175.01,           63550.88,      0.77,      9.66,           8.88,  +3.08,  +1.32
  0,     UK001L,       0,  0.000000, 2459436.565849057864, 265.87289,  64.76062,              318.92186,  51.12371,       318.92658,       51.12359,    265.87289,     +64.76062,     265.87047,      +64.76340,  3729583.07, -1333365.78,  5120754.58,      52.461983,       -2.136274,  108993.99,  139150.23,       0.00,               45.58,   729.60,      0.00,           59380.12,     -2.42,      6.78,          10.67,  +4.13,  +3.41
  1,     UK001L,       0,  0.040604, 2459436.565849527717, 264.29180,  64.46881,              318.82891,  50.38812,       318.87212,       50.38698,    264.29180,     +64.46881,     264.26817,      +64.49440,  3727846.38, -1334084.23,  5121074.54,      52.473468,       -2.154693,  108398.87,  139814.88,    1906.47,             1860.89,     0.34,  46952.78,           59380.12,    -22.64,     63.35,          99.25,  +3.62,  +2.89
  2,     UK001L,       0,  0.081364, 2459436.565849999432, 262.32769,  64.11551,              318.77531,  49.46647,       318.80772,       49.46562,    262.32769,     +64.11551,     262.30870,      +64.13483,  3725648.65, -1334993.41,  5121479.45,      52.488000,       -2.177977,  107646.48,  140687.49,    4319.05,             4273.47,  -141.43,  59189.92,           59380.12,    -17.42,     48.75,          75.90,  +1.58,  +0.84
  3,     UK001L,       0,  0.122284, 2459436.565850473009, 260.01926,  63.67011,              318.73587,  48.35767,       318.73456,       48.35771,    260.01926,     +63.67011,     260.02062,      +63.66933,  3722967.33, -1336102.64,  5121973.45,      52.505729,       -2.206375,  106729.61,  141799.68,    7262.51,             7216.93,   237.65,  71931.93,           59380.12,      0.73,     -2.03,           3.14,  +1.60,  +0.84
  4,     UK001L,       0,  0.162932, 2459436.565850943793, 258.45310,  63.33018,              318.69860,  47.58099,       318.68373,       47.58139,    258.45310,     +63.33018,     258.46397,      +63.32123,  3721064.36, -1336889.87,  5122324.05,      52.518311,       -2.226597,  106079.60,  142622.27,    9351.52,             9305.94,  -220.66,  51392.70,           59039.19,      8.40,    -23.55,          36.16,  +1.36,  +0.59
  5,     UK001L,       0,  0.203792, 2459436.565851416439, 256.44106,  62.84515,              318.63773,  46.55008,       318.62020,       46.55054,    256.44106,     +62.84515,     256.45466,      +62.83459,  3718500.50, -1337950.51,  5122796.41,      52.535260,       -2.253808,  105204.80,  143769.64,   12166.02,            12120.44,    33.23,  68881.67,           60351.58,     10.17,    -28.50,          43.42,  +1.47,  +0.68
  6,     UK001L,       0,  0.244608, 2459436.565851889085, 254.59647,  62.37149,              318.59669,  45.57867,       318.56234,       45.57958,    254.59647,     +62.37149,     254.62380,      +62.35076,  3716047.16, -1338965.43,  5123248.41,      52.551477,       -2.279879,  104368.73,  144910.72,   14859.20,            14813.62,   168.56,  65983.48,           61424.10,     20.45,    -57.31,          86.61,  +1.18,  +0.37
  7,     UK001L,       0,  0.285336, 2459436.565852360334, 253.02499,  61.90682,              318.52616,  44.71108,       318.51187,       44.71145,    253.02499,     +61.90682,     253.03758,      +61.89819,  3713820.45, -1339886.59,  5123658.65,      52.566195,       -2.303580,  103610.75,  145982.42,   17303.60,            17258.02,    60.62,  60017.68,           61753.53,      8.71,    -24.38,          36.58,  +1.45,  +0.63
  8,     UK001L,       0,  0.326068, 2459436.565852831583, 251.49871,  61.42126,              318.45447,  43.84052,       318.46282,       43.84030,    251.49871,     +61.42126,     251.49317,      +61.42630,  3711552.04, -1340825.01,  5124076.58,      52.581187,       -2.327743,  102839.41,  147108.08,   19793.78,            19748.20,    -1.80,  61135.62,           61866.10,     -5.21,     14.57,          21.70,  +1.80,  +0.96
  9,     UK001L,       0,  0.366836, 2459436.565853303764, 249.91282,  60.92722,              318.43237,  42.93034,       318.41338,       42.93084,    249.91282,     +60.92722,     249.93062,      +60.91576,  3709145.39, -1341820.61,  5124519.97,      52.597092,       -2.353393,  102022.00,  148338.64,   22435.71,            22390.13,    85.28,  64803.94,           62083.63,     12.11,    -33.93,          50.09,  +1.58,  +0.72
 10,     UK001L,       0,  0.407504, 2459436.565853774548, 248.59154,  60.47992,              318.40384,  42.14446,       318.37133,       42.14531,    248.59154,     +60.47992,     248.62184,      +60.46034,  3707034.33, -1342693.93,  5124908.91,      52.611041,       -2.375934,  101305.75,  149449.07,   24753.15,            24707.57,  -145.85,  56984.48,           61971.16,     21.15,    -59.26,          86.84,  +3.07,  +2.20
 11,     UK001L,       0,  0.448104, 2459436.565854244400, 247.45904,  60.04561,              318.34623,  41.43571,       318.33390,       41.43604,    247.45904,     +60.04561,     247.47199,      +60.03819,  3705101.01, -1343493.72,  5125265.10,      52.623816,       -2.396607,  100650.44,  150490.80,   26875.48,            26829.90,  -567.85,  52274.00,           61535.02,      8.17,    -22.88,          33.30,  +4.52,  +3.63

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.