Orbital Analysis for matched events on 20210929_025249.245_UK

Summary for Event
-----------------
shower ID 424 SOL
Lg 102.28° Bg 27.08° Vg 64.68km/s
mass 0.00491g, abs. mag 0.7
Path Details
------------
start 0.20° 53.52° 110.76km
end   0.08° 53.50° 98.08km

Orbit Details
-------------
Semimajor axis 7.88A.U., eccentricity 0.88, inclination 133.04°, Period 22.12Y, LA Sun 185.89°, last Perihelion 2021-09-16

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: 2459486.620014418848
Time: 2021-09-29 02:52:49.245788 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002F
 Convergence angle = 57.58218 deg
 R.A. = 108.00960  Dec = +49.81310 deg
Intersection 2 - Stations: UK000Z and UK003B
 Convergence angle = 61.44209 deg
 R.A. = 108.62245  Dec = +49.67062 deg
Intersection 3 - Stations: UK002F and UK003B
 Convergence angle = 3.87690 deg
 R.A. = 115.18083  Dec = +52.97694 deg

Best intersection: Stations UK000Z and UK003B with Qconv = 61.44 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2406514.32 +/- 139.39 m
 Y =   3025294.31 +/- 202.96 m
 Z =   5194535.06 +/- 238.25 m
 Vx =   -12454.58 +/- 464.81 m/s
 Vy =    40412.28 +/- 634.19 m/s
 Vz =    50178.42 +/- 811.16 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.465875e+04, -3.343917e+04, -4.091185e+04, +1.324153e+05, -5.096423e+04, -4.721121e+04
-3.343917e+04, +4.534611e+04, +5.547963e+04, -1.795654e+05, +6.911144e+04, +6.402206e+04
-4.091185e+04, +5.547963e+04, +6.787771e+04, -2.196931e+05, +8.455582e+04, +7.832911e+04
+1.324153e+05, -1.795654e+05, -2.196931e+05, +7.110588e+05, -2.736735e+05, -2.535201e+05
-5.096423e+04, +6.911144e+04, +8.455582e+04, -2.736735e+05, +1.053319e+05, +9.757523e+04
-4.721121e+04, +6.402206e+04, +7.832911e+04, -2.535201e+05, +9.757523e+04, +9.038977e+04

Timing offsets (from input data):
    UK000Z: 0.000000 s
    UK002F: 0.000147 s
    UK003B: 0.000192 s
    UK003X: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 02:52:49.245788 UTC
  Lon     = ++0.200306 +/- 0.0035 deg
  Lat     = +53.524820 +/- 0.0008 deg
  Lat geo = +53.343821 +/- 0.0008 deg
  Ht      =  110703.59 +/- 234.88 m

  JD dynamic   = 2459486.620815159753 
  LST apparent = 51.4989958710 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 107.12867 +/- 0.8010 deg
  Dec       = +49.87744 +/- 0.2483 deg
  Azimuth   =  73.05773 +/- 0.2716 deg
  Elevation = +56.21727 +/- 0.5528 deg
  Vavg      =  61.51305 +/- 0.9471 km/s
  Vinit     =  65.62121 +/- 0.8187 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 107.34311 +/- 0.8010 deg
  Dec       = +49.72225 +/- 0.2483 deg
  Azimuth   =  73.18577 +/- 0.2716 deg
  Elevation = +56.02196 +/- 0.5528 deg
  Vavg      =  61.66342 +/- 0.9471 km/s
  Vinit     =  65.77159 +/- 0.8187 km/s
Radiant (geocentric, J2000):
  R.A.   = 107.05966 +/- 0.7975 deg
  Dec    = +49.79517 +/- 0.2490 deg
  Vg     =  64.67634 +/- 0.8300 km/s
  Vinf   =  65.62121 +/- 0.8187 km/s
  Zc     =  33.83586 +/- 0.5531 deg
  Zg     =  34.08861 +/- 0.5518 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 102.28041 +/- 0.6075 deg
  Bg     = +27.08216 +/- 0.1935 deg
  Vh     =  40.72420 +/- 0.8085 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 108.04933 +/- 1.0277 deg
  Bh     = +46.31031 +/- 0.5916 deg
  Vh_x   =   8.71578 +/- 0.7885 km/s
  Vh_y   = -26.74605 +/- 0.6214 km/s
  Vh_z   = -29.44732 +/- 0.3576 km/s
Orbit:
  La Sun = 185.893989 +/- 0.0000 deg
  a      =   7.880211 +/- 43.9973 AU
  e      =   0.875749 +/- 0.0751
  i      = 133.041287 +/- 0.4649 deg
  peri   = 162.079405 +/- 1.0360 deg
  node   = 185.895002 +/- 0.0000 deg
  Pi     = 347.974407 +/- 1.0360 deg
  q      =   0.979128 +/- 0.0040 AU
  f      =  17.919529 +/- 1.0360 deg
  M      =   0.581911 +/- nan deg
  Q      =  14.781295 +/- 87.9949 AU
  n      =   0.044555 +/- 0.0238 deg/day
  T      =  22.121136 +/- 339934615.7543 years
  Last perihelion JD = 2459473.560342 (2021-09-16 01:26:53.550197) +/- 0.5809 days
  Tj     =  -0.150494 +/- 0.4230
Shower association:
  IAU No.  =  424
  IAU code =  SOL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.781834e-03, -2.530783e-04, -4.332848e-02, -8.892368e-09, -1.362320e-03, +3.484722e-04
q   , -2.530783e-04, +2.302389e-05, +3.941824e-03, +8.089864e-10, +1.239375e-04, -3.170238e-05
Tp  , -4.332848e-02, +3.941824e-03, +6.748631e-01, +1.385032e-07, +2.121882e-02, -5.427631e-03
node, -8.892368e-09, +8.089864e-10, +1.385032e-07, +2.842521e-14, +4.354771e-09, -1.113921e-09
peri, -1.362320e-03, +1.239375e-04, +2.121882e-02, +4.354771e-09, +6.671553e-04, -1.706538e-04
i   , +3.484722e-04, -3.170238e-05, -5.427631e-03, -1.113921e-09, -1.706538e-04, +4.365209e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.155826
 a2 = 21.678485

Mean time residuals from time vs. length:
  Station with reference time: UK000Z
  Avg. res. = 5.507e-06 s
  Stddev    = 2.35e-03 s

Begin point on the trajectory:
  Lon =     0.200859 +/- 0.0028 deg
  Lat =    53.524920 +/- 0.0007 deg
  Ht  = 110761.97 +/- 163.64 m
End point on the trajectory:
  Lon =     0.079311 +/- 0.0036 deg
  Lat =    53.502968 +/- 0.0008 deg
  Ht  = 98077.05 +/- 193.17 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.625693,  27.587451,   110761.97,    98077.05,          0.009987,     26.21,     15.03,              16.05, 0.0764,    True,    True, {"ff_name": "FF_UK000Z_20210929_025244_188_0761088.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000038,  83.678017,   108534.72,   100509.36,          0.030065,      7.21,    121.66,              40.30, 0.4183,    True,    True, {"ff_name": "FF_UK002F_20210929_025248_607_0763904.fits"}
    UK003B,   False,    -1.072290,    52.276980,  129.00,   0.000000,   0.000000,   109818.15,   101609.89,          0.025682,      0.41,     87.77,              34.33, 0.3181,    True,    True, {"ff_name": "FF_UK003B_20210929_025241_613_0765952.fits"}
    UK003X,    True,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,   108687.51,   100244.03,          0.056289,       nan,       nan,              38.99, 0.0000,    True,    True, {"ff_name": "FF_UK003X_20210929_025243_548_0758016.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,     UK000Z,       0,  0.000000, 2459486.620014418848, 129.68309,  41.89180,               67.80902,  37.62300,        67.82643,       37.62135,    129.68309,     +41.89180,     129.67244,      +41.88039,  2406500.99,  3025337.56,  5194588.77,      53.524920,       +0.200859,  110761.97,  178541.35,       0.00,               70.23,   232.69,      0.00,           65311.31,     21.55,     37.55,          50.02,  +2.41,  +1.15
  1,     UK000Z,       0,  0.040208, 2459486.620014884043, 129.93033,  41.73410,               67.80283,  37.38051,        67.78855,       37.38185,    129.93033,     +41.73410,     129.93929,      +41.74345,  2406972.74,  3023806.83,  5192688.11,      53.521361,       +0.181091,  108696.15,  176164.36,    2485.60,             2415.37,   -60.67,  61818.51,           65311.31,    -17.43,    -30.48,          41.11,  +1.37,  +0.14
  2,     UK000Z,       0,  0.080436, 2459486.620015349705, 130.25134,  41.59568,               67.73117,  37.10956,        67.74578,       37.10817,    130.25134,     +41.59568,     130.24263,      +41.58608,  2407496.22,  3022108.28,  5190579.09,      53.517404,       +0.159163,  106404.20,  173531.44,    5243.69,             5173.45,    57.60,  68561.42,           65311.31,     17.69,     30.83,          42.25,  +1.32,  +0.12
  3,     UK000Z,       0,  0.120660, 2459486.620015815366, 130.53743,  41.43631,               67.69967,  36.84375,        67.70455,       36.84329,    130.53743,     +41.43631,     130.53490,      +41.43311,  2407988.39,  3020511.29,  5188596.17,      53.513678,       +0.138526,  104249.60,  171059.22,    7836.87,             7766.63,    11.23,  64468.42,           65311.31,      5.84,     10.19,          14.17,  +1.09,  -0.08
  4,     UK000Z,       0,  0.160892, 2459486.620016281027, 130.84532,  41.28082,               67.64957,  36.56813,        67.66188,       36.56696,    130.84532,     +41.28082,     130.83829,      +41.27273,  2408487.04,  3018893.29,  5186587.15,      53.509897,       +0.117610,  102066.95,  168558.47,   10464.17,            10393.94,    -1.53,  65303.95,           65333.88,     14.57,     25.39,          35.82,  +1.13,  -0.00
  5,     UK000Z,       0,  0.201120, 2459486.620016746689, 131.11691,  41.11208,               67.63318,  36.30343,        67.62147,       36.30454,    131.11691,     +41.11208,     131.12513,      +41.11979,  2408947.54,  3017399.05,  5184731.82,      53.506400,       +0.098271,  100051.55,  166252.00,   12890.50,            12820.27,  -215.01,  60314.44,           64623.18,    -13.70,    -23.93,          34.21,  +1.85,  +0.75
  6,     UK000Z,       0,  0.241340, 2459486.620017212350, 131.41605,  40.96971,               67.57404,  36.04095,        67.58102,       36.04029,    131.41605,     +40.96971,     131.41264,      +40.96511,  2409398.76,  3015934.96,  5182913.91,      53.502968,       +0.079311,   98077.05,  163995.41,   15267.88,            15197.65,  -476.92,  59109.38,           63778.69,      8.09,     14.11,          20.46,  +2.99,  +1.92
  0,     UK002F,       0,  0.040230, 2459486.620014882647, 179.23652,  56.81077,               28.24914,  26.40072,        28.26452,       26.39095,    179.23652,     +56.81077,     179.22493,      +56.79515,  2407009.61,  3023687.20,  5192539.57,      53.521082,       +0.179560,  108534.72,  236225.37,       0.00,             2609.62,   132.15,      0.00,           64567.62,     69.52,      4.17,          60.81,  +3.00,  +1.13
  1,     UK002F,       0,  0.080454, 2459486.620015348308, 179.93625,  56.67175,               27.96861,  26.07937,        28.00002,       26.05943,    179.93625,     +56.67175,     179.91206,      +56.63994,  2407485.67,  3022142.49,  5190621.57,      53.517484,       +0.159602,  106450.36,  234349.43,    2508.28,             5117.90,     0.88,  62357.80,           64567.62,    141.07,      8.38,         124.39,  +1.89,  +0.04
  2,     UK002F,       0,  0.120714, 2459486.620015814435, 180.68196,  56.49406,               27.68290,  25.71307,        27.71160,       25.69489,    180.68196,     +56.49406,     180.65956,      +56.46509,  2407999.68,  3020474.65,  5188550.67,      53.513593,       +0.138057,  104200.17,  232337.87,    5216.51,             7826.13,    67.20,  67268.57,           64567.62,    127.96,      7.60,         113.80,  +1.32,  -0.51
  3,     UK002F,       0,  0.160950, 2459486.620016280096, 181.39879,  56.33468,               27.39756,  25.37195,        27.43780,       25.34648,    181.39879,     +56.33468,     181.36669,      +56.29417,  2408482.11,  3018909.29,  5186607.02,      53.509935,       +0.117816,  102088.54,  230462.74,    7758.34,            10367.96,   -31.31,  63172.88,           64567.62,    178.28,     10.52,         159.84,  +1.59,  -0.22
  4,     UK002F,       0,  0.201174, 2459486.620016745757, 181.89265,  56.15471,               27.23803,  25.07722,        27.23046,       25.08200,    181.89265,     +56.15471,     181.89975,      +56.16230,  2408842.93,  3017738.51,  5185153.31,      53.507195,       +0.102628,  100509.36,  229067.54,    9659.44,            12269.06,  -769.76,  47262.86,           61058.81,    -33.33,     -2.01,          30.06,  +4.17,  +2.37
  0,     UK003B,       0,  0.005784, 2459486.620014483575, 168.73537,  60.49665,               31.06337,  32.99674,        31.01914,       33.02693,    168.73537,     +60.49665,     168.75390,      +60.54360,  2406716.52,  3024638.23,  5193720.44,      53.523295,       +0.191883,  109818.15,  197376.17,       0.00,             1065.33,   848.22,      0.00,           57808.22,   -164.75,     -0.84,         172.17,  +5.26,  +3.78
  1,     UK003B,       0,  0.045992, 2459486.620014948770, 169.34828,  60.47500,               30.80307,  32.78730,        30.79071,       32.79574,    169.34828,     +60.47500,     169.35387,      +60.48812,  2407052.97,  3023546.51,  5192364.88,      53.520755,       +0.177734,  108344.87,  195926.61,    1772.74,             2838.07,   -17.54,  44089.16,           57808.22,    -45.77,     -0.18,          48.19,  +2.21,  +0.75
  2,     UK003B,       0,  0.086316, 2459486.620015415829, 170.20649,  60.38427,               30.48144,  32.44936,        30.46447,       32.46091,    170.20649,     +60.38427,     170.21472,      +60.40225,  2407530.01,  3021998.63,  5190442.94,      53.517149,       +0.157735,  106256.25,  193882.80,    4286.17,             5351.50,  -150.22,  62330.91,           57808.22,    -62.25,     -0.25,          66.23,  +1.88,  +0.44
  3,     UK003B,       0,  0.126660, 2459486.620015882421, 171.12927,  60.29635,               30.12424,  32.09577,        30.11718,       32.10056,    171.12927,     +60.29635,     171.13327,      +60.30382,  2408031.09,  3020372.73,  5188424.12,      53.513355,       +0.136726,  104062.66,  191748.40,    6926.30,             7991.64,  -157.51,  65440.59,           57808.22,    -25.64,     -0.09,          27.58,  +1.00,  -0.41
  4,     UK003B,       0,  0.167048, 2459486.620016349945, 172.18687,  60.20332,               29.70416,  31.69970,        29.72332,       31.68671,    172.18687,     +60.20332,     172.17752,      +60.18308,  2408591.47,  3018554.43,  5186166.41,      53.509105,       +0.113238,  101609.89,  189377.31,    9878.84,            10944.17,   144.72,  73104.28,           61788.84,     68.89,      0.19,          75.03,  +1.41,  +0.02
  0,     UK003X,       1,  0.030236, 2459486.620014769025, 169.58858,  46.68410,               39.12663,  20.73390,        39.13232,       20.73119,    169.58858,     +46.68410,     169.58458,      +46.67884,  2406974.72,  3023800.42,  5192680.15,      53.521346,       +0.181051,  108687.51,  290577.68,       0.00,             2425.77,   604.12,      0.00,           58803.72,     28.23,     10.99,          21.50,  +6.30,  +3.98
  1,     UK003X,       1,  0.070436, 2459486.620015234221, 169.86704,  46.53580,               39.04873,  20.50309,        39.01520,       20.51898,    169.86704,     +46.53580,     169.89181,      +46.56671,  2407326.85,  3022657.83,  5191261.45,      53.518685,       +0.166247,  107145.70,  289161.86,    1855.33,             4281.10,  -178.53,  46152.40,           58803.72,   -165.46,    -64.62,         126.71,  +2.69,  +0.38
  2,     UK003X,       1,  0.110704, 2459486.620015700348, 170.25984,  46.35425,               38.92036,  20.20022,        38.85710,       20.23015,    170.25984,     +46.35425,     170.30687,      +46.41245,  2407800.13,  3021122.16,  5189354.66,      53.515104,       +0.146399,  105073.72,  287269.31,    4348.94,             6774.71,  -327.35,  61925.45,           58803.72,   -310.38,   -121.49,         239.33,  +1.92,  -0.37
  3,     UK003X,       1,  0.150976, 2459486.620016166475, 170.72990,  46.20288,               38.72501,  19.89236,        38.68383,       19.91185,    170.72990,     +46.20288,     170.76110,      +46.24072,  2408314.25,  3019453.94,  5187283.30,      53.511208,       +0.124842,  102823.22,  285224.59,    7057.78,             9483.55,  -261.20,  67263.69,           58803.72,   -200.99,    -78.52,         156.05,  +2.02,  -0.26
  4,     UK003X,       1,  0.191320, 2459486.620016633067, 171.22046,  45.95932,               38.56955,  19.50033,        38.48329,       19.54106,    171.22046,     +45.95932,     171.28595,      +46.03837,  2408903.56,  3017541.76,  5184909.01,      53.506734,       +0.100144,  100244.03,  282895.73,   10162.77,            12588.54,   196.36,  76962.78,           63394.37,   -418.02,   -163.87,         327.37,  +4.03,  +1.77

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.