Orbital Analysis for matched events on 20211103_212058.351_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 101.89° Bg 55.30° Vg 46.05km/s
mass 0.07441g, abs. mag -0.8
best visual mag 0.2
Path Details
------------
start 1.65° 52.02° 106.97km
end   1.60° 51.92° 94.75km

Orbit Details
-------------
Semimajor axis 7.09A.U., eccentricity 0.88, inclination 79.21°, Period 18.87Y, LA Sun 221.38°, last Perihelion 2003-01-18

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: 2459522.389564250130
Time: 2021-11-03 21:20:58.391806 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0032 and UK0034
 Convergence angle = 20.15589 deg
 R.A. = 118.89246  Dec = +77.47981 deg

Best intersection: Stations UK0032 and UK0034 with Qconv = 20.16 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3982263.25 +/- 117.46 m
 Y =    365962.93 +/- 65.32 m
 Z =   5090291.90 +/- 32.99 m
 Vx =    -5157.05 +/- 416.19 m/s
 Vy =     8636.73 +/- 256.20 m/s
 Vz =    46290.52 +/- 76.62 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.482869e+04, +7.914739e+03, +1.977648e+03, +5.136804e+04, +2.883248e+04, +6.682629e+03
+7.914739e+03, +4.582878e+03, +7.543025e+02, +2.721566e+04, +1.694120e+04, +3.285299e+03
+1.977648e+03, +7.543025e+02, +1.168844e+03, +6.871130e+03, +1.855176e+03, +1.246628e+03
+5.136804e+04, +2.721566e+04, +6.871130e+03, +1.880793e+05, +1.068233e+05, +2.310105e+04
+2.883248e+04, +1.694120e+04, +1.855176e+03, +1.068233e+05, +7.053939e+04, +1.129139e+04
+6.682629e+03, +3.285299e+03, +1.246628e+03, +2.310105e+04, +1.129139e+04, +3.299643e+03

Timing offsets (from input data):
    UK0032: -0.000012 s
    UK0034: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 21:20:58.391806 UTC
  Lon     = ++1.657919 +/- 0.0008 deg
  Lat     = +52.029738 +/- 0.0008 deg
  Lat geo = +51.846055 +/- 0.0008 deg
  Ht      =  108351.58 +/- 90.61 m

  JD dynamic   = 2459522.390365460888 
  LST apparent = 5.2506325753 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 120.84171 +/- 2.7434 deg
  Dec       = +77.73986 +/- 0.1139 deg
  Azimuth   =  15.87317 +/- 0.5197 deg
  Elevation = +45.55459 +/- 0.4706 deg
  Vavg      =  46.64357 +/- 0.0425 km/s
  Vinit     =  47.37088 +/- 0.0580 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 120.14256 +/- 2.7434 deg
  Dec       = +77.42847 +/- 0.1139 deg
  Azimuth   =  16.35650 +/- 0.5197 deg
  Elevation = +45.48478 +/- 0.4706 deg
  Vavg      =  46.70028 +/- 0.0425 km/s
  Vinit     =  47.42759 +/- 0.0580 km/s
Radiant (geocentric, J2000):
  R.A.   = 122.50569 +/- 2.7263 deg
  Dec    = +77.39108 +/- 0.1109 deg
  Vg     =  46.05270 +/- 0.0597 km/s
  Vinf   =  47.37088 +/- 0.0580 km/s
  Zc     =  44.62212 +/- 0.4711 deg
  Zg     =  45.28559 +/- 0.4803 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 101.89172 +/- 0.9727 deg
  Bg     = +55.29970 +/- 0.2255 deg
  Vh     =  40.78625 +/- 0.1478 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  12.96475 +/- 0.5417 deg
  Bh     = +68.17100 +/- 0.6136 deg
  Vh_x   = -14.77927 +/- 0.4143 km/s
  Vh_y   =  -3.40249 +/- 0.2492 km/s
  Vh_z   = -37.86179 +/- 0.0681 km/s
Orbit:
  La Sun = 221.377507 +/- -0.0000 deg
  a      =   7.087008 +/- 1.1228 AU
  e      =   0.876075 +/- 0.0125
  i      =  79.209329 +/- 0.1686 deg
  peri   = 221.009317 +/- 1.0462 deg
  node   = 221.377111 +/- 0.0000 deg
  Pi     =  82.386428 +/- 1.0462 deg
  q      =   0.878261 +/- 0.0066 AU
  f      = 318.991008 +/- 1.0462 deg
  M      = 358.580476 +/- 0.1769 deg
  Q      =  13.295755 +/- 2.2513 AU
  n      =   0.052241 +/- 0.0068 deg/day
  T      =  18.866659 +/- 5.1425 years
  Last perihelion JD = 2452658.395949 (2003-01-18 21:30:09.966083) +/- 1878.0125 days
  Tj     =   0.945028 +/- 0.0680
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.688287e-04, -7.924241e-05, -2.458669e+01, -1.304161e-08, +1.203428e-02, -2.222303e-03
q   , -7.924241e-05, +4.722066e-05, +1.127456e+01, +5.608341e-09, -7.433227e-03, +9.533158e-04
Tp  , -2.458669e+01, +1.127456e+01, +3.779893e+06, +1.899039e-03, -1.696993e+03, +3.234705e+02
node, -1.304161e-08, +5.608341e-09, +1.899039e-03, +1.051052e-12, -8.389499e-07, +1.792988e-07
peri, +1.203428e-02, -7.433227e-03, -1.696993e+03, -8.389499e-07, +1.175896e+00, -1.425476e-01
i   , -2.222303e-03, +9.533158e-04, +3.234705e+02, +1.792988e-07, -1.425476e-01, +3.058827e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 17.641314
 a2 = 7.139566

Mean time residuals from time vs. length:
  Station with reference time: UK0034
  Avg. res. = 1.059e-05 s
  Stddev    = 3.25e-03 s

Begin point on the trajectory:
  Lon =     1.652614 +/- 0.0007 deg
  Lat =    52.018229 +/- 0.0007 deg
  Ht  = 106971.53 +/- 74.95 m
End point on the trajectory:
  Lon =     1.604091 +/- 0.0006 deg
  Lat =    51.915989 +/- 0.0005 deg
  Ht  = 94751.03 +/- 38.62 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
    UK0032,   False,    -0.023645,    52.984073,    6.00,   8.992850,   8.636685,   103403.79,    95425.28,          0.008994,      7.37,     28.81,              80.16, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20211103_212058_666_0389632.fits"}
    UK0034,   False,     1.010397,    52.949859,   25.00,  14.198634,   7.408172,   106971.53,    94751.03,          0.009387,     10.92,     23.01,              82.28, 1.0000,    True,    True, {"ff_name": "FF_UK0034_20211103_212048_542_0395520.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,     UK0032,       1,  0.107626, 2459522.389565495774,  41.32105,   4.61442,              133.58508,  32.59547,       133.51467,       32.54895,     41.32105,      +4.61442,      41.39545,       +4.59856,  3982878.75,   364932.12,  5084767.06,      51.996065,       +1.642127,  104316.40,  190193.16,       0.00,             5653.79,   542.65,      0.00,           43199.62,    242.47,    -62.04,         271.43,  +1.88,  +0.48
  1,     UK0032,       0,  0.147814, 2459522.389565960970,  41.30090,   4.22655,              133.80710,  32.25529,       133.79711,       32.24869,     41.30090,      +4.22655,      41.31203,       +4.22429,  3983018.00,   364698.91,  5083517.13,      51.988440,       +1.638450,  103403.79,  190040.69,    1279.10,             6932.89,   -81.99,  31827.95,           43199.62,     34.46,     -8.81,          38.60,  +1.18,  -0.21
  2,     UK0032,       0,  0.188018, 2459522.389566426165,  41.19063,   3.68270,              134.20248,  31.81310,       134.20133,       31.81235,     41.19063,      +3.68270,      41.19262,       +3.68244,  3983219.19,   364361.97,  5081711.19,      51.977420,       +1.633213,  102085.45,  189838.52,    3127.19,             8780.98,  -138.40,  45967.67,           43199.62,      3.96,     -1.01,           4.44,  +0.61,  -0.78
  3,     UK0032,       0,  0.228230, 2459522.389566891827,  41.04678,   3.08410,              134.65720,  31.33470,       134.64497,       31.32669,     41.04678,      +3.08410,      41.06062,       +3.08134,  3983441.90,   363988.99,  5079712.16,      51.965217,       +1.627434,  100626.45,  189636.26,    5172.87,            10826.66,     2.41,  50872.55,           43199.62,     42.20,    -10.79,          47.37,  +0.37,  -1.02
  4,     UK0032,       0,  0.268418, 2459522.389567357022,  40.95269,   2.59423,              135.00110,  30.93202,       135.00162,       30.93236,     40.95269,      +2.59423,      40.95326,       +2.59435,  3983621.99,   363687.38,  5078095.57,      51.955344,       +1.622729,   99446.77,  189487.40,    6827.19,            12480.98,  -247.02,  41164.45,           43652.39,     -1.79,      0.46,           2.01,  +0.19,  -1.20
  5,     UK0032,       0,  0.308642, 2459522.389567822218,  40.81232,   1.97482,              135.45440,  30.43067,       135.45084,       30.42834,     40.81232,      +1.97482,      40.81738,       +1.97402,  3983851.01,   363303.84,  5076039.92,      51.942783,       +1.616793,   97947.01,  189320.74,    8930.81,            14584.60,   -48.84,  52297.72,           45017.59,     12.34,     -3.16,          13.87,  +0.86,  -0.53
  6,     UK0032,       0,  0.348826, 2459522.389568287414,  40.71694,   1.48756,              135.79204,  30.02890,       135.79935,       30.03365,     40.71694,      +1.48756,      40.71066,       +1.48922,  3984029.72,   363004.54,  5074435.74,      51.932977,       +1.612123,   96776.82,  189205.34,   10572.43,            16226.22,  -310.77,  40852.54,           45058.99,    -25.32,      6.48,          28.49,  +0.58,  -0.80
  7,     UK0032,       0,  0.389034, 2459522.389568752609,  40.59986,   0.92552,              136.18553,  29.56739,       136.19852,       29.57582,     40.59986,      +0.92552,      40.58770,       +0.92847,  3984236.17,   362658.78,  5072582.59,      51.921645,       +1.606756,   95425.28,  189090.80,   12468.84,            18122.63,  -319.05,  47164.95,           45251.77,    -45.08,     11.53,          50.75,  +1.36,  -0.02
  8,     UK0032,       1,  0.429270, 2459522.389569218736,  40.50256,   0.34375,              136.56422,  29.07861,       136.60442,       29.10464,     40.50256,      +0.34375,      40.46160,       +0.35291,  3984447.84,   362304.29,  5070682.61,      51.910021,       +1.601257,   94039.86,  188993.24,   14413.16,            20066.95,  -280.75,  48322.83,           45546.66,   -139.73,     35.73,         157.40,  +4.20,  +2.82
  0,     UK0034,       1,  0.000000, 2459522.389564250130,  21.64116,   8.49263,              156.47623,  43.44192,       156.48959,       43.44670,     21.64116,      +8.49263,      21.63047,       +8.49492,  3982262.64,   365963.94,  5090297.32,      52.029771,       +1.658104,  108355.53,  156090.43,       0.00,                5.54,    -7.24,      0.00,           48297.51,    -26.62,    -12.63,          38.94,  +4.88,  +3.91
  1,     UK0034,       0,  0.040592, 2459522.389564719982,  21.46557,   7.80487,              156.93424,  42.81621,       156.92191,       42.81181,     21.46557,      +7.80487,      21.47566,       +7.80275,  3982473.71,   365610.45,  5088402.74,      52.018229,       +1.652614,  106971.53,  155884.36,    1938.79,             1933.25,    -2.41,  47762.96,           48297.51,     24.71,     11.73,          36.20,  +2.87,  +1.91
  2,     UK0034,       0,  0.081228, 2459522.389565190300,  21.32946,   7.06778,              157.34794,  42.13180,       157.36883,       42.13924,     21.32946,      +7.06778,      21.31286,       +7.07139,  3982696.15,   365237.93,  5086406.14,      52.006059,       +1.646839,  105513.30,  155693.26,    3981.99,             3976.45,   115.82,  50280.38,           48297.51,    -42.20,    -20.02,          61.88,  +1.76,  +0.80
  3,     UK0034,       0,  0.121808, 2459522.389565660153,  21.16900,   6.39770,              157.76424,  41.51685,       157.77182,       41.51954,     21.16900,      +6.39770,      21.16333,       +6.39902,  3982900.18,   364896.24,  5084574.74,      51.994892,       +1.641528,  104175.97,  155541.13,    5856.14,             5850.60,    67.67,  46184.14,           48297.51,    -15.40,     -7.31,          22.61,  +1.25,  +0.29
  4,     UK0034,       0,  0.162436, 2459522.389566130005,  21.00631,   5.67652,              158.19129,  40.85129,       158.19548,       40.85277,     21.00631,      +5.67652,      21.00355,       +5.67725,  3983118.77,   364530.15,  5082612.62,      51.982922,       +1.635850,  102743.48,  155403.35,    7864.05,             7858.51,   150.99,  49421.73,           48377.39,     -8.57,     -4.07,          12.60,  +0.85,  -0.11
  5,     UK0034,       0,  0.202916, 2459522.389566598926,  20.87177,   5.12762,              158.52460,  40.34613,       158.51467,       40.34262,     20.87177,      +5.12762,      20.88081,       +5.12587,  3983285.52,   364250.89,  5081115.86,      51.973787,       +1.631480,  101650.91,  155314.89,    9395.74,             9390.20,  -234.89,  37838.31,           46899.61,     20.44,      9.71,          30.05,  +0.84,  -0.12
  6,     UK0034,       0,  0.243516, 2459522.389567068778,  20.73793,   4.43362,              158.89349,  39.69834,       158.90604,       39.70277,     20.73793,      +4.43362,      20.72852,       +4.43585,  3983493.94,   363901.84,  5079245.03,      51.962364,       +1.626059,  100285.54,  155226.35,   11310.23,            11304.69,  -243.66,  47154.89,           46398.47,    -26.01,    -12.35,          38.26,  +0.71,  -0.24
  7,     UK0034,       0,  0.284196, 2459522.389567539562,  20.56222,   3.65525,              159.33151,  38.97598,       159.33872,       38.97852,     20.56222,      +3.65525,      20.55738,       +3.65654,  3983729.07,   363508.06,  5077134.47,      51.949472,       +1.619966,   98745.54,  155155.22,   13470.05,            13464.51,   -10.88,  53093.02,           46748.79,    -15.04,     -7.14,          22.13,  +0.65,  -0.30
  8,     UK0034,       0,  0.324744, 2459522.389568008948,  20.42144,   3.02746,              159.67744,  38.39206,       159.68212,       38.39370,     20.42144,      +3.02746,      20.41887,       +3.02829,  3983918.49,   363190.83,  5075434.21,      51.939081,       +1.615026,   97505.14,  155119.19,   15210.00,            15204.46,  -191.73,  42910.72,           46656.58,     -9.81,     -4.66,          14.45,  +0.73,  -0.22
  9,     UK0034,       0,  0.365296, 2459522.389568477869,  20.26666,   2.39847,              160.03565,  37.80891,       160.02210,       37.80415,     20.26666,      +2.39847,      20.27965,       +2.39602,  3984109.05,   362871.68,  5073723.67,      51.928624,       +1.610057,   96257.46,  155102.70,   16960.45,            16954.91,  -362.26,  43165.71,           46419.43,     28.64,     13.61,          42.17,  +0.77,  -0.18
 10,     UK0034,       0,  0.405964, 2459522.389568948653,  20.10329,   1.63399,              160.43333,  37.09377,       160.42450,       37.09068,     20.10329,      +1.63399,      20.11252,       +1.63238,  3984339.18,   362486.27,  5071657.95,      51.915989,       +1.604091,   94751.03,  155109.82,   19074.39,            19068.85,  -174.80,  51980.33,           46543.32,     18.81,      8.94,          27.69,  +1.18,  +0.23

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.