Orbital Analysis for matched events on 20211015_232517.667_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 120.69° Bg 16.94° Vg 68.83km/s
mass 0.01484g, abs. mag 0.1
best visual mag 0.8
Path Details
------------
start 0.81° 53.08° 113.65km
end   0.48° 52.92° 104.41km

Orbit Details
-------------
Semimajor axis 17.13A.U., eccentricity 0.94, inclination 150.40°, Period 70.93Y, LA Sun 202.53°, last Perihelion 2021-09-28

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: 2459503.475898932200
Time: 2021-10-15 23:25:17.685606 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 26.35975 deg
 R.A. = 126.58444  Dec = +36.80162 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 26.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3740301.05 +/- 30.74 m
 Y =   1132494.65 +/- 41.36 m
 Z =   5166688.70 +/- 28.33 m
 Vx =   -33850.69 +/- 227.02 m/s
 Vy =    44358.52 +/- 261.81 m/s
 Vz =    41802.69 +/- 148.50 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.021498e+03, +1.144096e+03, +8.178168e+02, +6.413685e+03, +6.748793e+03, +3.916770e+03
+1.144096e+03, +1.924390e+03, +1.243855e+03, +9.472899e+03, +1.031256e+04, +5.443102e+03
+8.178168e+02, +1.243855e+03, +9.034709e+02, +5.967009e+03, +6.100500e+03, +3.540598e+03
+6.413685e+03, +9.472899e+03, +5.967009e+03, +6.139315e+04, +6.529498e+04, +3.441184e+04
+6.748793e+03, +1.031256e+04, +6.100500e+03, +6.529498e+04, +7.315551e+04, +3.821254e+04
+3.916770e+03, +5.443102e+03, +3.540598e+03, +3.441184e+04, +3.821254e+04, +2.197633e+04

Timing offsets (from input data):
    UK002K: 0.000000 s
    UK0032: -0.000085 s

Reference point on the trajectory:
  Time: 2021-10-15 23:25:17.685606 UTC
  Lon     = ++0.814298 +/- 0.0005 deg
  Lat     = +53.078537 +/- 0.0002 deg
  Lat geo = +52.896788 +/- 0.0002 deg
  Ht      =  113644.03 +/- 45.45 m

  JD dynamic   = 2459503.476699879859 
  LST apparent = 16.8453510272 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 127.34783 +/- 0.3487 deg
  Dec       = +36.83920 +/- 0.0640 deg
  Azimuth   =  52.06655 +/- 0.2019 deg
  Elevation = +18.11618 +/- 0.2127 deg
  Vavg      =  69.33717 +/- 0.1781 km/s
  Vinit     =  69.72096 +/- 0.1439 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 127.24583 +/- 0.3487 deg
  Dec       = +36.70804 +/- 0.0640 deg
  Azimuth   =  52.21752 +/- 0.2019 deg
  Elevation = +18.05886 +/- 0.2127 deg
  Vavg      =  69.55105 +/- 0.1781 km/s
  Vinit     =  69.93484 +/- 0.1439 km/s
Radiant (geocentric, J2000):
  R.A.   = 127.39157 +/- 0.3506 deg
  Dec    = +36.48327 +/- 0.0673 deg
  Vg     =  68.83282 +/- 0.1457 km/s
  Vinf   =  69.72096 +/- 0.1439 km/s
  Zc     =  71.99561 +/- 0.2132 deg
  Zg     =  72.52924 +/- 0.2173 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 120.69134 +/- 0.3005 deg
  Bg     = +16.94447 +/- 0.0327 deg
  Vh     =  41.56722 +/- 0.1139 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 126.59670 +/- 0.5607 deg
  Bh     = +28.85813 +/- 0.0613 deg
  Vh_x   =  21.70406 +/- 0.2328 km/s
  Vh_y   = -29.22806 +/- 0.2937 km/s
  Vh_z   = -20.06211 +/- 0.0479 km/s
Orbit:
  La Sun = 202.528901 +/- -0.0000 deg
  a      =  17.134614 +/- 6.6714 AU
  e      =   0.944528 +/- 0.0101
  i      = 150.398394 +/- 0.1042 deg
  peri   = 154.683274 +/- 1.1074 deg
  node   = 202.528455 +/- 0.0000 deg
  Pi     = 357.211729 +/- 1.1074 deg
  q      =   0.950486 +/- 0.0035 AU
  f      =  25.315590 +/- 1.1075 deg
  M      =   0.244937 +/- 0.0605 deg
  Q      =  33.318742 +/- 13.3400 AU
  n      =   0.013896 +/- 0.0033 deg/day
  T      =  70.927085 +/- 53.2600 years
  Last perihelion JD = 2459485.850391 (2021-09-28 08:24:33.808917) +/- 0.7640 days
  Tj     =  -0.732583 +/- 0.0610
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.069513e-04, +3.422277e-05, +7.666593e-03, -3.593491e-08, +1.101718e-02, +8.881030e-04
q   , +3.422277e-05, +1.353760e-05, +2.932168e-03, -1.415170e-08, +4.265272e-03, +3.499047e-04
Tp  , +7.666593e-03, +2.932168e-03, +6.383444e-01, -3.074549e-06, +9.268810e-01, +7.601129e-02
node, -3.593491e-08, -1.415170e-08, -3.074549e-06, +1.942761e-11, -4.469021e-06, -4.801310e-07
peri, +1.101718e-02, +4.265272e-03, +9.268810e-01, -4.469021e-06, +1.346728e+00, +1.104894e-01
i   , +8.881030e-04, +3.499047e-04, +7.601129e-02, -4.801310e-07, +1.104894e-01, +1.186600e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000200
 a2 = 34.942939

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 4.591e-06 s
  Stddev    = 2.14e-03 s

Begin point on the trajectory:
  Lon =     0.814552 +/- 0.0004 deg
  Lat =    53.078657 +/- 0.0002 deg
  Ht  = 113651.22 +/- 44.59 m
End point on the trajectory:
  Lon =     0.484707 +/- 0.0007 deg
  Lat =    52.923706 +/- 0.0005 deg
  Ht  = 104411.81 +/- 86.41 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000246,  34.467634,   113651.22,   104411.81,          0.006233,      9.81,     11.90,              63.26, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20211015_232518_243_0517376.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   113482.24,   107454.03,          0.025180,     48.24,     21.87,              48.32, 1.0000,    True,   False, {"ff_name": "FF_UK0032_20211015_232510_345_0519680.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,     UK002K,       0,  0.000000, 2459503.475899138954,  52.64608,  23.96467,              122.14527,  49.49818,       122.14567,       49.49223,     52.64608,     +23.96467,      52.64943,      +23.95956,  3740289.83,  1132509.36,  5166702.56,      53.078657,       +0.814552,  113651.22,  148491.03,       0.00,               23.12,  -156.62,      0.00,           72091.54,     11.91,      9.81,          21.43,  +2.56,  +1.70
  1,     UK002K,       0,  0.039936, 2459503.475899601355,  51.66764,  23.42000,              123.75954,  49.52928,       123.75953,       49.52955,     51.66764,     +23.42000,      51.66766,      +23.42023,  3741739.95,  1130609.09,  5164911.78,      53.063244,       +0.781566,  112723.05,  147205.89,    2986.77,             2963.65,    -0.47,  74788.89,           72091.54,     -0.53,     -0.44,           0.96,  +2.40,  +1.56
  2,     UK002K,       0,  0.079860, 2459503.475900063291,  50.60139,  22.83205,              125.52114,  49.55265,       125.52113,       49.54443,     50.60139,     +22.83205,      50.60641,      +22.82507,  3743293.60,  1128573.17,  5162993.16,      53.046716,       +0.746253,  111729.99,  145885.11,    6186.75,             6163.63,   415.97,  80151.82,           72091.54,     16.14,     13.30,          29.57,  +2.04,  +1.22
  3,     UK002K,       0,  0.119820, 2459503.475900525693,  49.82607,  22.37121,              126.83264,  49.53083,       126.83287,       49.53889,     49.82607,     +22.37121,      49.82195,      +22.37805,  3744431.70,  1127081.78,  5161587.71,      53.034599,       +0.720351,  111003.41,  144953.45,    8530.85,             8507.73,   -25.98,  58661.14,           72091.54,    -15.75,    -12.97,          29.03,  +1.53,  +0.72
  4,     UK002K,       0,  0.159748, 2459503.475900988095,  48.88055,  21.83723,              128.41297,  49.51595,       128.41273,       49.51199,     48.88055,     +21.83723,      48.88350,      +21.83388,  3745785.21,  1125308.11,  5159916.24,      53.020177,       +0.689589,  110140.30,  143888.74,   11318.63,            11295.51,   -22.02,  69820.11,           70562.32,      7.68,      6.33,          14.28,  +1.41,  +0.62
  5,     UK002K,       0,  0.199696, 2459503.475901450031,  47.94991,  21.27989,              129.99540,  49.46030,       129.99570,       49.46342,     47.94991,     +21.27989,      47.94893,      +21.28253,  3747124.02,  1123553.72,  5158262.92,      53.005901,       +0.659171,  109287.62,  142881.55,   14076.12,            14053.00,   -49.74,  69027.08,           69906.00,     -6.02,     -4.96,          11.26,  +1.73,  +0.96
  6,     UK002K,       0,  0.239632, 2459503.475901912432,  46.98977,  20.71039,              131.62497,  49.39312,       131.62466,       49.39069,     46.98977,     +20.71039,      46.99219,      +20.70835,  3748486.17,  1121768.73,  5156580.79,      52.991364,       +0.628238,  108421.15,  141904.88,   16881.68,            16858.56,   -28.55,  70251.50,           69708.65,      4.65,      3.84,           8.77,  +1.32,  +0.56
  7,     UK002K,       0,  0.279576, 2459503.475902374834,  46.02372,  20.12237,              133.27546,  49.29705,       133.27487,       49.29337,     46.02372,     +20.12237,      46.02705,      +20.11928,  3749852.39,  1119978.41,  5154893.62,      52.976771,       +0.597226,  107553.17,  140974.92,   19695.64,            19672.52,     0.47,  70447.57,           69688.00,      7.01,      5.78,          13.30,  +1.30,  +0.55
  8,     UK002K,       0,  0.319516, 2459503.475902837235,  45.05138,  19.52463,              134.93930,  49.17925,       134.93772,       49.17105,     45.05138,     +19.52463,      45.05758,      +19.51775,  3751217.60,  1118189.42,  5153207.71,      52.962178,       +0.566249,  106686.92,  140096.26,   22507.50,            22484.38,    27.68,  70402.13,           69725.97,     15.60,     12.86,          29.76,  +0.85,  +0.12
  9,     UK002K,       0,  0.359468, 2459503.475903299637,  44.11529,  18.92812,              136.55244,  49.03156,       136.55183,       49.02888,     44.11529,     +18.92812,      44.11840,      +18.92587,  3752533.90,  1116464.51,  5151582.18,      52.948096,       +0.536388,  105852.73,  139297.71,   25218.65,            25195.53,   -46.67,  67860.12,           69643.50,      5.08,      4.19,           9.76,  +1.14,  +0.42
 10,     UK002K,       0,  0.399420, 2459503.475903762039,  43.21699,  18.35273,              138.09815,  48.87261,       138.09771,       48.87086,     43.21699,     +18.35273,      43.21971,      +18.35126,  3753788.30,  1114820.74,  5150033.12,      52.934666,       +0.507934,  105058.70,  138581.86,   27802.27,            27779.15,  -248.54,  64668.12,           69372.28,      3.30,      2.72,           6.37,  +1.36,  +0.65
 11,     UK002K,       0,  0.439396, 2459503.475904224440,  42.48985,  17.86447,              139.35955,  48.71285,       139.36322,       48.72584,     42.48985,     +17.86447,      42.48382,      +17.87535,  3754811.27,  1113480.22,  5148769.84,      52.923706,       +0.484707,  104411.81,  138030.46,   29909.24,            29886.12,  -928.73,  52705.93,           68574.18,    -24.55,    -20.23,          47.54,  +2.67,  +1.97
  0,     UK0032,       0,  0.008228, 2459503.475899124984,  59.61906,  49.62312,               79.33845,  62.95508,        79.30075,       62.96754,     59.61906,     +49.62312,      59.61226,      +49.64384,  3740553.69,  1132163.59,  5166376.71,      53.075853,       +0.808584,  113482.24,  127104.82,       0.00,              520.35,  -233.08,      0.00,           72281.99,    -19.45,    -42.79,          76.27,  +2.59,  +2.07
  1,     UK0032,       0,  0.047616, 2459503.475899580866,  58.02993,  49.39469,               80.74275,  63.80424,        80.70172,       63.81802,     58.02993,     +49.39469,      58.02210,      +49.41684,  3742029.30,  1130229.92,  5164554.46,      53.060167,       +0.775027,  112538.00,  125135.78,    3039.26,             3559.60,    60.00,  77162.03,           72281.99,    -20.56,    -45.24,          81.92,  +1.69,  +1.20
  2,     UK0032,       0,  0.087044, 2459503.475900037214,  56.54956,  49.15801,               82.14671,  64.58870,        82.09814,       64.60529,     56.54956,     +49.15801,      56.53981,      +49.18382,  3743376.59,  1128464.41,  5162890.67,      53.045832,       +0.744386,  111676.97,  123375.84,    5814.22,             6334.57,    86.01,  70380.58,           72281.99,    -23.73,    -52.21,          95.87,  +1.89,  +1.43
  3,     UK0032,       0,  0.126436, 2459503.475900493097,  55.03301,  48.94446,               83.57487,  65.40676,        83.60925,       65.39483,     55.03301,     +48.94446,      55.04104,      +48.92650,  3744714.24,  1126711.53,  5161238.80,      53.031589,       +0.713975,  110823.15,  121666.26,    8569.32,             9089.67,    94.66,  69940.51,           72281.99,     16.33,     36.04,          67.09,  +1.49,  +1.06
  4,     UK0032,       0,  0.165884, 2459503.475900949445,  53.60471,  48.67351,               85.12797,  66.14991,        85.15328,       66.14094,     53.60471,     +48.67351,      53.61122,      +48.66046,  3745969.20,  1125067.01,  5159689.03,      53.018216,       +0.685445,  110023.06,  120097.76,   11154.12,            11674.46,   -70.90,  65524.15,           70631.49,     11.78,     25.99,          49.00,  +1.84,  +1.44
  5,     UK0032,       0,  0.205240, 2459503.475901404861,  51.97319,  48.37435,               86.95663,  67.00363,        87.03602,       66.97478,     51.97319,     +48.37435,      51.99339,      +48.33399,  3747367.89,  1123234.14,  5157961.76,      53.003299,       +0.653678,  109132.41,  118392.55,   14034.95,            14555.29,    66.00,  73199.29,           70526.51,     36.08,     79.77,         152.53,  +1.35,  +0.98
  6,     UK0032,       0,  0.244604, 2459503.475901860744,  50.33539,  48.00514,               89.04940,  67.82995,        89.10943,       67.80741,     50.33539,     +48.00514,      50.35186,      +47.97491,  3748765.99,  1121402.05,  5156235.23,      52.988376,       +0.621938,  108243.29,  116734.63,   16914.55,            17434.90,   201.10,  73153.22,           70770.09,     26.85,     59.33,         115.06,  +1.46,  +1.12
  7,     UK0032,       0,  0.284040, 2459503.475902317092,  48.86884,  47.63379,               91.11972,  68.54834,        91.13261,       68.54333,     48.86884,     +47.63379,      48.87348,      +47.62733,  3750008.55,  1119773.78,  5154700.78,      52.975103,       +0.593722,  107454.03,  115301.38,   19473.80,            19994.15,    10.84,  64896.36,           70381.73,      5.72,     12.61,          24.77,  +1.07,  +0.76

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.