Orbital Analysis for matched events on 20211015_191946.582_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 81.50° Bg 69.12° Vg 39.50km/s
mass 0.03674g, abs. mag 0.4
best visual mag 0.9
Path Details
------------
start -3.16° 52.63° 104.14km
end   -3.16° 52.56° 91.99km

Orbit Details
-------------
Semimajor axis 21.12A.U., eccentricity 0.95, inclination 64.28°, Period 97.04Y, LA Sun 202.36°, last Perihelion 1924-10-14

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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: 2459503.305400254671
Time: 2021-10-15 19:19:46.621955 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK0042
 Convergence angle = 87.03723 deg
 R.A. = 321.30696  Dec = +85.23894 deg

Best intersection: Stations UK002H and UK0042 with Qconv = 87.04 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2603515.85 +/- 12.85 m
 Y =  -2960881.68 +/- 9.15 m
 Z =   5129635.46 +/- 39.33 m
 Vx =     2385.05 +/- 51.24 m/s
 Vy =    -2315.32 +/- 48.64 m/s
 Vz =    40890.91 +/- 38.46 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.650793e+02, +3.949777e+01, +3.211849e+02, +5.689111e+02, +2.434165e+02, -2.454188e+02
+3.949777e+01, +8.923717e+01, +2.019474e+02, +4.542657e+01, +4.460686e+02, -2.512801e+02
+3.211849e+02, +2.019474e+02, +1.684746e+03, +8.325258e+02, +1.390891e+03, -8.342722e+02
+5.689111e+02, +4.542657e+01, +8.325258e+02, +2.369803e+03, +2.348358e+02, -7.298656e+02
+2.434165e+02, +4.460686e+02, +1.390891e+03, +2.348358e+02, +2.852822e+03, -1.478553e+03
-2.454188e+02, -2.512801e+02, -8.342722e+02, -7.298656e+02, -1.478553e+03, +1.180985e+03

Timing offsets (from input data):
    UK002H: -0.000101 s
    UK0042: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 19:19:46.621955 UTC
  Lon     = +-3.158269 +/- 0.0002 deg
  Lat     = +52.636250 +/- 0.0002 deg
  Lat geo = +52.453477 +/- 0.0002 deg
  Ht      =  105074.52 +/- 32.61 m

  JD dynamic   = 2459503.306201457977 
  LST apparent = 311.3253035947 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 315.84992 +/- 0.9101 deg
  Dec       = +85.35263 +/- 0.0646 deg
  Azimuth   =   0.67729 +/- 0.1381 deg
  Elevation = +57.26738 +/- 0.0646 deg
  Vavg      =  40.10839 +/- 0.0365 km/s
  Vinit     =  41.02579 +/- 0.0348 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 320.74479 +/- 0.9101 deg
  Dec       = +85.30401 +/- 0.0646 deg
  Azimuth   =   1.41967 +/- 0.1381 deg
  Elevation = +57.26120 +/- 0.0646 deg
  Vavg      =  40.11124 +/- 0.0365 km/s
  Vinit     =  41.02863 +/- 0.0348 km/s
Radiant (geocentric, J2000):
  R.A.   = 317.55088 +/- 1.0494 deg
  Dec    = +85.90413 +/- 0.0663 deg
  Vg     =  39.49557 +/- 0.0361 km/s
  Vinf   =  41.02579 +/- 0.0348 km/s
  Zc     =  32.91538 +/- 0.0646 deg
  Zg     =  33.55868 +/- 0.0664 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  81.49667 +/- 0.1915 deg
  Bg     = +69.11928 +/- 0.0741 deg
  Vh     =  41.68382 +/- 0.0531 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 315.83509 +/- 0.1236 deg
  Bh     = +62.28875 +/- 0.0543 deg
  Vh_x   = -13.90461 +/- 0.0473 km/s
  Vh_y   =  13.50508 +/- 0.0367 km/s
  Vh_z   = -36.90278 +/- 0.0505 km/s
Orbit:
  La Sun = 202.359902 +/- 0.0000 deg
  a      =  21.117521 +/- 2.0147 AU
  e      =   0.954446 +/- 0.0048
  i      =  64.275814 +/- 0.0397 deg
  peri   = 201.867592 +/- 0.1741 deg
  node   = 202.359850 +/- 0.0000 deg
  Pi     =  44.227442 +/- 0.1741 deg
  q      =   0.961987 +/- 0.0005 AU
  f      = 338.131102 +/- 0.1741 deg
  M      = 359.844211 +/- 0.0268 deg
  Q      =  41.273054 +/- 4.0291 AU
  n      =   0.010156 +/- 0.0017 deg/day
  T      =  97.043184 +/- 13.6296 years
  Last perihelion JD = 2424073.004966 (1924-10-14 12:07:09.046959) +/- 4978.4122 days
  Tj     =   0.768209 +/- 0.0250
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.414942e-05, +1.409245e-06, -2.505171e+01, +1.556498e-09, -5.865617e-04, -6.316967e-05
q   , +1.409245e-06, +2.487031e-07, -1.467800e+00, -2.335171e-10, -8.623935e-05, +9.052787e-06
Tp  , -2.505171e+01, -1.467800e+00, +2.641725e+07, -1.803432e-03, +6.100808e+02, +7.303198e+01
node, +1.556498e-09, -2.335171e-10, -1.803432e-03, +1.089344e-12, +6.379551e-08, -4.305039e-08
peri, -5.865617e-04, -8.623935e-05, +6.100808e+02, +6.379551e-08, +3.049745e-02, -2.456157e-03
i   , -6.316967e-05, +9.052787e-06, +7.303198e+01, -4.305039e-08, -2.456157e-03, +1.701601e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.362283
 a2 = 13.777598

Mean time residuals from time vs. length:
  Station with reference time: UK0042
  Avg. res. = 6.826e-06 s
  Stddev    = 2.61e-03 s

Begin point on the trajectory:
  Lon =    -3.158371 +/- 0.0002 deg
  Lat =    52.630962 +/- 0.0001 deg
  Ht  = 104143.99 +/- 16.15 m
End point on the trajectory:
  Lon =    -3.161218 +/- 0.0001 deg
  Lat =    52.561728 +/- 0.0001 deg
  Ht  = 91991.11 +/- 12.46 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.098146,  22.423373,   103271.83,    93706.97,          0.004588,     11.33,      1.01,              72.56, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20211015_191948_458_0137472.fits"}
    UK0042,   False,    -4.169906,    52.265619,  152.00,   0.000000,   0.000000,   104143.99,    91991.11,          0.008083,     10.17,     14.78,              32.42, 1.0000,    True,    True, {"ff_name": "FF_UK0042_20211015_191940_572_0123904.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,     UK002H,       0,  0.066554, 2459503.305401026271, 290.51966,  12.57437,              210.91000,  45.73884,       210.92247,       45.73631,    290.51966,     +12.57437,     290.51066,      +12.57470,  2603391.26, -2960760.73,  5127499.40,      52.626003,       -3.158579,  103271.83,  143107.00,       0.00,             2143.11,    -0.69,      0.00,           41040.39,     -2.01,    -22.55,          32.63,  +3.17,  +2.39
  1,     UK002H,       0,  0.107134, 2459503.305401495658, 290.48405,  11.90330,              210.65849,  45.09047,       210.66248,       45.08966,    290.48405,     +11.90330,     290.48151,      +11.90340,  2603289.80, -2960662.23,  5125759.85,      52.617654,       -3.158911,  101803.89,  142617.36,    1745.29,             3888.40,    79.77,  43008.69,           41040.39,     -0.65,     -7.26,          10.54,  +1.53,  +0.76
  2,     UK002H,       0,  0.147702, 2459503.305401965510, 290.44971,  11.24373,              210.41616,  44.45285,       210.41277,       44.45353,    290.44971,     +11.24373,     290.45289,      +11.24364,  2603190.74, -2960566.07,  5124061.52,      52.609500,       -3.159239,  100370.87,  142158.47,    3449.22,             5592.32,   119.36,  42001.67,           41040.39,      0.55,      6.21,           9.05,  +1.14,  +0.38
  3,     UK002H,       0,  0.188218, 2459503.305402434431, 290.42314,  10.64737,              210.19594,  43.87720,       210.19228,       43.87794,    290.42314,     +10.64737,     290.42671,      +10.64727,  2603101.74, -2960479.68,  5122535.69,      52.602170,       -3.159550,   99083.48,  141762.78,    4980.08,             7123.19,   -11.98,  37784.17,           41040.39,      0.60,      6.75,           9.86,  +1.05,  +0.29
  4,     UK002H,       0,  0.228742, 2459503.305402903352, 290.40147,  10.04353,              209.97062,  43.29544,       209.97335,       43.29489,    290.40147,     +10.04353,     290.40034,      +10.04360,  2603012.14, -2960392.70,  5120999.62,      52.594788,       -3.159863,   97787.54,  141380.03,    6521.22,             8664.33,  -133.36,  38030.36,           40145.54,     -0.45,     -5.06,           7.42,  +0.94,  +0.19
  5,     UK002H,       0,  0.269322, 2459503.305403373204, 290.37534,   9.37318,              209.72827,  42.64845,       209.73455,       42.64718,    290.37534,      +9.37318,     290.37161,       +9.37335,  2602913.22, -2960296.67,  5119303.53,      52.586634,       -3.160190,   96356.72,  140975.35,    8222.91,            10366.02,   -96.50,  41934.13,           40145.40,     -1.04,    -11.74,          17.25,  +1.14,  +0.39
  6,     UK002H,       0,  0.309922, 2459503.305403843056, 290.33674,   8.68370,              209.49922,  41.97902,       209.49379,       41.98011,    290.33674,      +8.68370,     290.34226,       +8.68355,  2602811.98, -2960198.39,  5117567.83,      52.578286,       -3.160522,   94892.61,  140581.24,    9964.33,            12107.44,   -20.73,  42892.16,           40440.06,      0.91,     10.23,          15.07,  +0.95,  +0.21
  7,     UK002H,       0,  0.350410, 2459503.305404311512, 290.31177,   8.12225,              209.30821,  41.43541,       209.30258,       41.43655,    290.31177,      +8.12225,     290.31765,       +8.12209,  2602729.99, -2960118.80,  5116162.17,      52.571522,       -3.160822,   93706.97,  140277.85,   11374.62,            13517.73,  -271.49,  34832.34,           40096.24,      0.94,     10.65,          15.73,  +2.46,  +1.73
  0,     UK0042,       1,  0.000000, 2459503.305400254671,  16.85761,  55.03779,               58.57729,  51.97332,        58.63091,       52.02653,     16.85761,     +55.03779,      16.74929,      +55.02958,  2603519.91, -2960885.62,  5129705.11,      52.636584,       -3.158095,  105133.30,  132524.14,       0.00,               69.88,   656.51,      0.00,           36588.46,   -119.29,     82.13,         225.42,  +6.05,  +5.44
  1,     UK0042,       0,  0.039956, 2459503.305400717072,  16.83423,  54.75911,               58.99763,  51.87016,        59.01048,       51.88284,     16.83423,     +54.75911,      16.80870,      +54.75717,  2603451.54, -2960819.25,  5128532.87,      52.630962,       -3.158371,  104143.99,  131532.51,    1176.10,             1106.22,    53.63,  29434.89,           36588.46,    -28.28,     19.45,          53.83,  +3.11,  +2.51
  2,     UK0042,       0,  0.079944, 2459503.305401179940,  16.88572,  54.39807,               59.50695,  51.69143,        59.50669,       51.69118,     16.88572,     +54.39807,      16.88656,      +54.39811,  2603363.24, -2960733.53,  5127019.01,      52.623698,       -3.158679,  102866.43,  130258.19,    2694.95,             2625.08,   -68.06,  37982.75,           36588.46,      0.55,     -0.38,           1.06,  +1.96,  +1.39
  3,     UK0042,       0,  0.119956, 2459503.305401643272,  16.99381,  53.99501,               60.04973,  51.46192,        60.06076,       51.47255,     16.99381,     +53.99501,      16.97295,      +53.99340,  2603265.84, -2960638.98,  5125349.17,      52.615683,       -3.159002,  101457.36,  128859.34,    4370.30,             4300.43,   -34.23,  41871.13,           36588.46,    -23.46,     16.14,          45.57,  +1.50,  +0.95
  4,     UK0042,       0,  0.159944, 2459503.305402105674,  17.06077,  53.58017,               60.62009,  51.24562,        60.62112,       51.24660,     17.06077,     +53.58017,      17.05947,      +53.58002,  2603168.51, -2960544.49,  5123680.39,      52.607669,       -3.159325,  100049.28,  127468.04,    6044.60,             5974.72,    -0.48,  41869.90,           38219.76,     -2.16,      1.48,           4.24,  +1.21,  +0.68
  5,     UK0042,       0,  0.199940, 2459503.305402569007,  17.13715,  53.15952,               61.18871,  51.01824,        61.18464,       51.01441,     17.13715,     +53.15952,      17.14561,      +53.16009,  2603071.76, -2960450.57,  5122021.70,      52.599700,       -3.159647,   98649.83,  126091.92,    7708.75,             7638.88,    22.81,  41608.07,           39169.88,      8.35,     -5.74,          16.58,  +1.01,  +0.51
  6,     UK0042,       0,  0.239952, 2459503.305403031874,  17.23900,  52.73676,               61.74290,  50.77266,        61.74786,       50.77728,     17.23900,     +52.73676,      17.23085,      +52.73607,  2602976.17, -2960357.77,  5120382.76,      52.591823,       -3.159967,   97267.16,  124738.99,    9353.10,             9283.22,    25.63,  41096.38,           39715.70,    -10.02,      6.89,          20.11,  +1.14,  +0.66
  7,     UK0042,       0,  0.279956, 2459503.305403494742,  17.32990,  52.29310,               62.32429,  50.51972,        62.33128,       50.52615,     17.32990,     +52.29310,      17.31838,      +52.29214,  2602878.29, -2960262.76,  5118704.66,      52.583754,       -3.160290,   95851.56,  123361.24,   11036.73,            10966.86,    68.07,  42086.59,           40140.71,    -13.87,      9.54,          28.14,  +1.16,  +0.70
  8,     UK0042,       0,  0.319960, 2459503.305403958075,  17.40465,  51.90605,               62.82772,  50.29841,        62.83503,       50.30507,     17.40465,     +51.90605,      17.39290,      +51.90507,  2602794.57, -2960181.49,  5117269.45,      52.576850,       -3.160591,   94640.93,  122188.01,   12476.68,            12406.80,  -133.18,  35994.95,           40062.56,    -14.30,      9.83,          29.29,  +1.09,  +0.65
  9,     UK0042,       0,  0.359952, 2459503.305404420942,  17.46144,  51.50072,               63.35917,  50.07537,        63.35555,       50.07210,     17.46144,     +51.50072,      17.46934,      +51.50120,  2602708.94, -2960098.36,  5115801.24,      52.569785,       -3.160895,   93402.54,  120993.92,   13949.73,            13879.85,  -300.83,  36833.78,           39846.69,      6.98,     -4.80,          14.44,  +2.22,  +1.81
 10,     UK0042,       0,  0.399968, 2459503.305404883809,  17.56885,  51.03145,               63.94792,  49.79056,        63.95563,       49.79745,     17.56885,     +51.03145,      17.55711,      +51.03044,  2602611.33, -2960003.60,  5114127.72,      52.561728,       -3.161218,   91991.11,  119641.37,   15628.78,            15558.90,  -263.47,  41959.34,           39825.02,    -14.62,     10.05,          30.59,  +3.05,  +2.66

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.