Orbital Analysis for matched events on 20210929_215858.049_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 83.22° Bg 27.97° Vg 62.02km/s
mass 0.01719g, abs. mag -0.1
Path Details
------------
start -0.08° 54.22° 116.50km
end   -0.29° 54.11° 104.04km

Orbit Details
-------------
Semimajor axis 4.51A.U., eccentricity 0.81, inclination 128.98°, Period 9.58Y, LA Sun 186.68°, last Perihelion 2012-04-01

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: 2459487.415949642658
Time: 2021-09-29 21:58:58.049126 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK004B
 Convergence angle = 30.39832 deg
 R.A. =  80.38242  Dec = +52.01807 deg

Best intersection: Stations UK0026 and UK004B with Qconv = 30.40 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3541152.50 +/- 17.59 m
 Y =  -1392373.87 +/- 50.64 m
 Z =   5245974.45 +/- 195.15 m
 Vx =     6585.20 +/- 158.56 m/s
 Vy =    38621.04 +/- 557.65 m/s
 Vz =    49335.10 +/- 586.27 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.390333e+02, -3.033913e+02, -1.412339e+03, +1.434839e+03, -5.664462e+02, -5.078593e+03
-3.033913e+02, +2.589805e+03, +7.835146e+03, -1.248368e+03, +1.793502e+03, +2.184987e+04
-1.412339e+03, +7.835146e+03, +3.861574e+04, -4.162731e+03, +4.824344e+03, +1.091295e+05
+1.434839e+03, -1.248368e+03, -4.162731e+03, +8.615848e+03, -1.678483e+03, -1.187806e+04
-5.664462e+02, +1.793502e+03, +4.824344e+03, -1.678483e+03, +3.855810e+03, +1.208901e+04
-5.078593e+03, +2.184987e+04, +1.091295e+05, -1.187806e+04, +1.208901e+04, +3.611917e+05

Timing offsets (from input data):
    UK0026: -0.000658 s
    UK004B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 21:58:58.049126 UTC
  Lon     = +-0.084543 +/- 0.0007 deg
  Lat     = +54.224971 +/- 0.0012 deg
  Lat geo = +54.045530 +/- 0.0012 deg
  Ht      =  116494.66 +/- 146.40 m

  JD dynamic   = 2459487.416750383563 
  LST apparent = 338.5353500903 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  80.32366 +/- 0.1336 deg
  Dec       = +51.54589 +/- 0.3138 deg
  Azimuth   =  47.34442 +/- 0.2876 deg
  Elevation = +34.13020 +/- 0.2215 deg
  Vavg      =  62.22343 +/- 0.4655 km/s
  Vinit     =  62.99922 +/- 0.4772 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  80.24133 +/- 0.1336 deg
  Dec       = +51.35293 +/- 0.3138 deg
  Azimuth   =  47.55019 +/- 0.2876 deg
  Elevation = +34.02618 +/- 0.2215 deg
  Vavg      =  62.39273 +/- 0.4655 km/s
  Vinit     =  63.16852 +/- 0.4772 km/s
Radiant (geocentric, J2000):
  R.A.   =  80.42707 +/- 0.1321 deg
  Dec    = +51.17949 +/- 0.3212 deg
  Vg     =  62.01526 +/- 0.4847 km/s
  Vinf   =  62.99922 +/- 0.4772 km/s
  Zc     =  55.99149 +/- 0.2209 deg
  Zg     =  56.47096 +/- 0.2298 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  83.22118 +/- 0.1012 deg
  Bg     = +27.96681 +/- 0.3193 deg
  Vh     =  39.68257 +/- 0.5566 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  67.33669 +/- 0.2953 deg
  Bh     = +47.13320 +/- 0.2719 deg
  Vh_x   = -10.40194 +/- 0.0876 km/s
  Vh_y   = -24.91142 +/- 0.2684 km/s
  Vh_z   = -29.08483 +/- 0.5352 km/s
Orbit:
  La Sun = 186.675768 +/- -0.0000 deg
  a      =   4.509717 +/- 3.5144 AU
  e      =   0.805611 +/- 0.0440
  i      = 128.977485 +/- 0.2116 deg
  peri   = 223.913147 +/- 1.7460 deg
  node   = 186.674774 +/- 0.0000 deg
  Pi     =  50.587921 +/- 1.7460 deg
  q      =   0.876638 +/- 0.0062 AU
  f      = 316.085038 +/- 1.7460 deg
  M      = 356.930839 +/- 0.8982 deg
  Q      =   8.142796 +/- 7.0236 AU
  n      =   0.102915 +/- 0.0289 deg/day
  T      =   9.576891 +/- 17.2763 years
  Last perihelion JD = 2456019.218447 (2012-04-01 17:14:33.844238) +/- 6311.3452 days
  Tj     =   0.460213 +/- 0.2720
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.005268e-03, +2.783018e-04, -2.277360e+02, +6.345210e-09, -1.378240e-03, -1.571616e-04
q   , +2.783018e-04, +4.155488e-05, -2.997308e+01, +8.783747e-10, -2.013289e-04, -2.175016e-05
Tp  , -2.277360e+02, -2.997308e+01, +3.698393e+07, -5.831978e-04, +1.495535e+02, +1.445651e+01
node, +6.345210e-09, +8.783747e-10, -5.831978e-04, +2.463344e-14, -4.379683e-09, -6.096968e-10
peri, -1.378240e-03, -2.013289e-04, +1.495535e+02, -4.379683e-09, +9.819627e-04, +1.084559e-04
i   , -1.571616e-04, -2.175016e-05, +1.445651e+01, -6.096968e-10, +1.084559e-04, +1.509055e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000242
 a2 = 38.315889

Mean time residuals from time vs. length:
  Station with reference time: UK004B
  Avg. res. = 1.717e-06 s
  Stddev    = 1.31e-03 s

Begin point on the trajectory:
  Lon =    -0.084500 +/- 0.0003 deg
  Lat =    54.224995 +/- 0.0010 deg
  Ht  = 116497.29 +/- 133.71 m
End point on the trajectory:
  Lon =    -0.289854 +/- 0.0001 deg
  Lat =    54.114477 +/- 0.0005 deg
  Ht  = 104035.55 +/- 83.71 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
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   115466.50,   107093.83,          0.014090,      3.89,     42.96,              38.67, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210929_215857_432_0334592.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.019336,  26.013280,   116497.29,   104035.55,          0.012882,     13.75,     28.03,              30.97, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20210929_215857_536_0333056.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,     UK0026,       0,  0.026481, 2459487.415949785616, 165.48278,  76.16521,              357.87888,  39.22606,       357.88126,       39.21118,    165.48278,     +76.16521,     165.46937,      +76.15057,  3540960.92, -1393497.42,  5244539.20,      54.215899,       -0.101394,  115466.50,  180261.21,       0.00,             1832.75,   252.90,      0.00,           61380.67,     46.98,      4.25,          53.98,  +4.45,  +3.17
  1,     UK0026,       0,  0.066481, 2459487.415950248484, 167.27065,  76.05541,              357.31329,  39.16200,       357.31437,       39.15560,    167.27065,     +76.05541,     167.26432,      +76.04914,  3540735.29, -1394820.69,  5242848.84,      54.205208,       -0.121344,  114256.01,  178598.45,    2158.54,             3991.29,  -108.54,  53963.42,           61380.67,     20.05,      1.82,          23.25,  +2.70,  +1.44
  2,     UK0026,       0,  0.106461, 2459487.415950711351, 169.46733,  75.92785,              356.61213,  39.10562,       356.61612,       39.08316,    169.46733,     +75.92785,     169.44164,      +75.90608,  3540462.15, -1396422.62,  5240802.51,      54.192255,       -0.145456,  112791.26,  176599.99,    4771.63,             6604.39,   -14.15,  65360.10,           61380.67,     69.60,      6.29,          81.63,  +1.85,  +0.62
  3,     UK0026,       0,  0.146461, 2459487.415951174218, 171.57694,  75.75750,              355.92107,  39.02016,       355.92353,       39.00705,    171.57694,     +75.75750,     171.56058,      +75.74492,  3540196.67, -1397979.62,  5238813.57,      54.179656,       -0.168893,  111368.27,  174673.34,    7311.44,             9144.19,     5.69,  63495.12,           61380.67,     40.23,      3.64,          47.70,  +1.73,  +0.52
  4,     UK0026,       0,  0.186453, 2459487.415951637086, 173.62688,  75.58003,              355.23714,  38.94095,       355.23975,       38.92772,    173.62688,     +75.58003,     173.60897,      +75.56748,  3539939.66, -1399486.92,  5236888.12,      54.167449,       -0.191583,  109991.33,  172823.49,    9770.17,            11602.92,   -55.05,  61480.49,           61744.75,     40.19,      3.64,          48.17,  +1.66,  +0.47
  5,     UK0026,       0,  0.226469, 2459487.415952099953, 175.70572,  75.34810,              354.51867,  38.82612,       354.51595,       38.83919,    175.70572,     +75.34810,     175.72652,      +75.36035,  3539672.76, -1401052.26,  5234888.54,      54.154762,       -0.215136,  108562.04,  170918.84,   12323.56,            14156.32,   -22.63,  63809.45,           62143.91,    -39.33,     -3.58,          47.66,  +2.03,  +0.87
  6,     UK0026,       0,  0.266441, 2459487.415952562820, 177.90009,  75.13073,              353.75536,  38.75010,       353.75727,       38.74133,    177.90009,     +75.13073,     177.88680,      +75.12263,  3539398.46, -1402660.99,  5232833.52,      54.141713,       -0.239334,  107093.83,  168979.39,   14947.75,            16780.51,    83.35,  65650.62,           62661.91,     26.14,      2.37,          32.04,  +3.13,  +1.99
  0,     UK004B,       0,  0.000000, 2459487.415949642658,  50.88941,  81.55061,               14.24098,  55.24078,        14.25908,       55.25847,     50.88941,     +81.55061,      50.77680,      +81.53855,  3541152.98, -1392371.00,  5245978.11,      54.224995,       -0.084500,  116497.29,  141120.27,       0.00,                4.68,    93.07,      0.00,           62823.32,    -45.28,     22.23,          73.73,  +3.22,  +2.47
  1,     UK004B,       0,  0.039820, 2459487.415950103663,  48.73435,  81.98227,               13.41985,  55.49325,        13.44882,       55.52217,     48.73435,     +81.98227,      48.54742,      +81.96171,  3540896.35, -1393876.13,  5244055.44,      54.212840,       -0.107171,  115120.02,  139027.48,    2455.19,             2450.51,    30.27,  61657.14,           62823.32,    -72.44,     35.52,         119.70,  +2.03,  +1.31
  2,     UK004B,       0,  0.079592, 2459487.415950563736,  45.93734,  82.38309,               12.60090,  55.79604,        12.59541,       55.79046,     45.93734,     +82.38309,      45.97404,      +82.38727,  3540637.57, -1395393.81,  5242116.72,      54.200575,       -0.130025,  113731.89,  136929.66,    4930.86,             4926.18,     0.34,  62246.65,           62823.32,     13.68,     -6.73,          22.96,  +1.38,  +0.70
  3,     UK004B,       0,  0.119388, 2459487.415951024275,  42.87445,  82.82458,               11.66691,  56.07263,        11.66618,       56.07187,     42.87445,     +82.82458,      42.87993,      +82.82518,  3540368.19, -1396973.70,  5240098.54,      54.187797,       -0.153806,  112287.53,  134759.78,    7508.00,             7503.33,    70.37,  64758.81,           62823.32,      1.82,     -0.90,           3.11,  +1.31,  +0.66
  4,     UK004B,       0,  0.159184, 2459487.415951485280,  39.46699,  83.23357,               10.73904,  56.34054,        10.73988,       56.34143,     39.46699,     +83.23357,      39.46187,      +83.23283,  3540111.74, -1398477.71,  5238177.30,      54.175623,       -0.176448,  110913.19,  132707.84,    9961.36,             9956.68,    16.61,  61648.29,           62762.66,     -2.09,      1.03,           3.62,  +1.13,  +0.52
  5,     UK004B,       0,  0.198968, 2459487.415951945353,  35.41803,  83.62910,                9.75780,  56.61816,         9.75602,       56.61619,     35.41803,     +83.62910,      35.43122,      +83.63082,  3539851.39, -1400004.61,  5236226.82,      54.163254,       -0.199429,  109518.56,  130639.08,   12452.06,            12447.38,     0.95,  62605.65,           62722.90,      4.49,     -2.21,           7.90,  +1.19,  +0.61
  6,     UK004B,       0,  0.238760, 2459487.415952405892,  30.92534,  83.99331,                8.76162,  56.88001,         8.76309,       56.88167,     30.92534,     +83.99331,      30.91646,      +83.99179,  3539600.36, -1401476.87,  5234346.13,      54.151319,       -0.221590,  108174.44,  128658.72,   14853.63,            14848.95,  -104.35,  60353.05,           62454.79,     -3.71,      1.82,           6.63,  +1.47,  +0.92
  7,     UK004B,       0,  0.278528, 2459487.415952866431,  25.26296,  84.35344,                7.62886,  57.16173,         7.63539,       57.16941,     25.26296,     +84.35344,      25.22309,      +84.34601,  3539328.11, -1403073.58,  5232306.47,      54.138365,       -0.245606,  106717.39,  126527.80,   17458.21,            17453.53,    -5.12,  65494.31,           62596.21,    -16.76,      8.23,          30.45,  +2.05,  +1.54
  8,     UK004B,       0,  0.318292, 2459487.415953326505,  19.01700,  84.62739,                6.52532,  57.44232,         6.52271,       57.43913,     19.01700,     +84.62739,      19.03248,      +84.63061,  3539072.09, -1404575.06,  5230388.46,      54.126173,       -0.268195,  105347.87,  124540.60,   19907.45,            19902.77,   -60.98,  61594.42,           62595.48,      6.80,     -3.34,          12.55,  +2.25,  +1.77
  9,     UK004B,       0,  0.358068, 2459487.415953787044,  12.31362,  84.84440,                5.40612,  57.69632,         5.40595,       57.69610,     12.31362,     +84.84440,      12.31582,      +84.84463,  3538826.66, -1406014.46,  5228549.74,      54.114477,       -0.289854,  104035.55,  122651.47,   22255.42,            22250.75,  -218.87,  59029.95,           62400.69,      0.45,     -0.22,           0.84,  +3.59,  +3.15

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.