Orbital Analysis for matched events on 20211103_025719.290_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 101.53° Bg -2.59° Vg 61.13km/s
mass 0.02001g, abs. mag -0.4
best visual mag 0.8
Path Details
------------
start 2.63° 52.11° 103.14km
end   2.58° 52.18° 90.31km

Orbit Details
-------------
Semimajor axis 2.69A.U., eccentricity 0.88, inclination 173.26°, Period 4.42Y, LA Sun 220.61°, last Perihelion 2017-07-12

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: 2459521.623139937874
Time: 2021-11-03 02:57:19.290632 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0034 and UK003W
 Convergence angle = 56.53428 deg
 R.A. = 103.55531  Dec = +20.24338 deg

Best intersection: Stations UK0034 and UK003W with Qconv = 56.53 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =     31057.67 +/- 93.76 m
 Y =   3988171.48 +/- 128.84 m
 Z =   5091950.61 +/- 36.81 m
 Vx =   -12638.16 +/- 472.46 m/s
 Vy =    56766.90 +/- 194.03 m/s
 Vz =    21857.85 +/- 252.88 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.258514e+03, -1.050614e+04, -2.994077e+03, +3.439126e+04, -8.081789e+03, +6.386695e+03
-1.050614e+04, +1.586972e+04, +4.337822e+03, -4.964622e+04, +1.545761e+04, -8.888635e+03
-2.994077e+03, +4.337822e+03, +1.450781e+03, -1.294767e+04, +3.687529e+03, -9.907730e+02
+3.439126e+04, -4.964622e+04, -1.294767e+04, +2.155413e+05, -3.447430e+04, +5.567859e+04
-8.081789e+03, +1.545761e+04, +3.687529e+03, -3.447430e+04, +4.627693e+04, +1.229859e+00
+6.386695e+03, -8.888635e+03, -9.907730e+02, +5.567859e+04, +1.229859e+00, +2.539275e+04

Timing offsets (from input data):
    UK0034: 0.000000 s
    UK003W: -0.000955 s

Reference point on the trajectory:
  Time: 2021-11-03 02:57:19.290632 UTC
  Lon     = ++2.629442 +/- 0.0014 deg
  Lat     = +52.113723 +/- 0.0007 deg
  Lat geo = +51.930023 +/- 0.0007 deg
  Ht      =  103051.96 +/- 105.10 m

  JD dynamic   = 2459521.623940678779 
  LST apparent = 89.5538212733 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 102.55121 +/- 0.4918 deg
  Dec       = +20.59842 +/- 0.1981 deg
  Azimuth   = 157.32087 +/- 0.7194 deg
  Elevation = +56.90575 +/- 0.3039 deg
  Vavg      =  62.19065 +/- 0.5984 km/s
  Vinit     =  62.12865 +/- 0.1459 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 102.83007 +/- 0.4918 deg
  Dec       = +20.57700 +/- 0.1981 deg
  Azimuth   = 156.86915 +/- 0.7194 deg
  Elevation = +56.81838 +/- 0.3039 deg
  Vavg      =  62.25252 +/- 0.5984 km/s
  Vinit     =  62.19053 +/- 0.1459 km/s
Radiant (geocentric, J2000):
  R.A.   = 102.30211 +/- 0.4949 deg
  Dec    = +20.35903 +/- 0.1988 deg
  Vg     =  61.12871 +/- 0.1483 km/s
  Vinf   =  62.12865 +/- 0.1459 km/s
  Zc     =  32.92482 +/- 0.3048 deg
  Zg     =  33.19953 +/- 0.3070 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 101.53463 +/- 0.4798 deg
  Bg     =  -2.58745 +/- 0.1618 deg
  Vh     =  38.19781 +/- 0.1961 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.38978 +/- 0.7415 deg
  Bh     =  -4.14275 +/- 0.2779 deg
  Vh_x   =  -7.66732 +/- 0.5131 km/s
  Vh_y   = -37.31849 +/- 0.1546 km/s
  Vh_z   =   2.75947 +/- 0.1766 km/s
Orbit:
  La Sun = 220.609634 +/- -0.0000 deg
  a      =   2.694105 +/- 0.1384 AU
  e      =   0.878937 +/- 0.0086
  i      = 173.258155 +/- 0.3426 deg
  peri   = 115.775248 +/- 1.0781 deg
  node   =  40.603840 +/- 0.0003 deg
  Pi     = 156.379089 +/- 1.0778 deg
  q      =   0.326156 +/- 0.0105 AU
  f      = 244.217255 +/- 1.0783 deg
  M      = 350.965019 +/- 0.6776 deg
  Q      =   5.062053 +/- 0.2825 AU
  n      =   0.222886 +/- 0.0149 deg/day
  T      =   4.422037 +/- 0.3511 years
  Last perihelion JD = 2457946.983169 (2017-07-12 11:35:45.810463) +/- 128.5606 days
  Tj     =   1.250162 +/- 0.0850
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.041982e-05, -3.866336e-05, -8.162981e-01, -1.117330e-06, +2.527608e-03, +1.156467e-03
q   , -3.866336e-05, +1.233975e-04, -1.203600e-01, +2.526265e-06, -1.462119e-02, -2.533401e-03
Tp  , -8.162981e-01, -1.203600e-01, +1.922158e+04, +4.571129e-03, +6.004361e+01, -5.344113e+00
node, -1.117330e-06, +2.526265e-06, +4.571129e-03, +1.002204e-07, -2.817396e-04, -1.002477e-04
peri, +2.527608e-03, -1.462119e-02, +6.004361e+01, -2.817396e-04, +1.842535e+00, +2.806078e-01
i   , +1.156467e-03, -2.533401e-03, -5.344113e+00, -1.002477e-04, +2.806078e-01, +1.004458e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK0034
  Avg. res. = 5.151e-06 s
  Stddev    = 2.27e-03 s

Begin point on the trajectory:
  Lon =     2.629748 +/- 0.0013 deg
  Lat =    52.113272 +/- 0.0006 deg
  Ht  = 103136.70 +/- 88.54 m
End point on the trajectory:
  Lon =     2.582263 +/- 0.0016 deg
  Lat =    52.181632 +/- 0.0008 deg
  Ht  = 90311.98 +/- 98.10 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
    UK0034,   False,     1.010397,    52.949859,   25.00,   0.000000,   0.000000,   103136.70,    90311.98,          0.006739,     18.51,      6.90,              26.36, 1.0000,    True,    True, {"ff_name": "FF_UK0034_20211103_025716_608_0896000.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   0.103640,  28.937525,   102461.16,    92106.40,          0.015122,     13.31,     53.95,              65.25, 1.0000,    True,    True, {"ff_name": "FF_UK003W_20211103_025714_753_0887552.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,     UK0034,       0,  0.000000, 2459521.623139937874, 127.66643,   7.99185,              129.62160,  34.73793,       129.62546,       34.73596,    127.66643,      +7.99185,     127.66453,       +7.98862,    31037.09,  3988263.91,  5091986.20,      52.113272,       +2.629748,  103136.70,  178064.82,       0.00,              101.15,     1.51,      0.00,           64385.62,      4.05,     10.87,          13.44,  +1.47,  +0.22
  1,     UK0034,       0,  0.040156, 2459521.623140402604, 127.98864,   7.79951,              129.38895,  34.41830,       129.38790,       34.41884,    127.98864,      +7.79951,     127.98933,       +7.80039,    31547.17,  3985972.76,  5091104.00,      52.124448,       +2.621992,  101036.07,  175834.07,    2507.55,             2406.40,  -188.07,  62445.26,           64385.62,     -1.10,     -2.94,           3.68,  +0.84,  -0.39
  2,     UK0034,       0,  0.080324, 2459521.623140867334, 128.34853,   7.59771,              129.12324,  34.07236,       129.12862,       34.06961,    128.34853,      +7.59771,     128.34621,       +7.59318,    32093.35,  3983519.50,  5090159.39,      52.136422,       +2.613690,   98787.12,  173454.45,    5192.52,             5091.37,     1.31,  66843.44,           64385.62,      5.54,     14.85,          18.85,  +1.09,  -0.11
  3,     UK0034,       0,  0.120492, 2459521.623141332529, 128.69163,   7.39344,              128.87821,  33.73165,       128.87967,       33.73091,    128.69163,      +7.39344,     128.69141,       +7.39221,    32608.51,  3981205.54,  5089268.41,      52.147724,       +2.605840,   96666.15,  171217.87,    7725.04,             7623.89,    38.25,  63048.21,           64385.62,      1.48,      3.98,           5.12,  +0.99,  -0.18
  4,     UK0034,       0,  0.160660, 2459521.623141797259, 129.03463,   7.19337,              128.63236,  33.39429,       128.63400,       33.39346,    129.03463,      +7.19337,     129.03449,       +7.19199,    33108.11,  3978961.50,  5088404.35,      52.158690,       +2.598214,   94609.54,  169056.69,   10181.04,            10079.89,    -1.34,  61143.11,           63685.24,      1.65,      4.43,           5.77,  +1.19,  +0.05
  5,     UK0034,       0,  0.200828, 2459521.623142262455, 129.41423,   6.98844,              128.35260,  33.03497,       128.36928,       33.02649,    129.41423,      +6.98844,     129.40674,       +6.97433,    33636.39,  3976588.62,  5087490.68,      52.170293,       +2.590151,   92435.14,  166780.82,   12778.04,            12676.89,   100.08,  64653.51,           63623.48,     16.65,     44.61,          58.89,  +1.33,  +0.22
  6,     UK0034,       0,  0.241024, 2459521.623142727651, 129.77968,   6.75724,              128.10415,  32.65877,       128.10599,       32.65783,    129.77968,      +6.75724,     129.77977,       +6.75568,    34152.29,  3974271.35,  5086598.43,      52.181632,       +2.582263,   90311.98,  164567.36,   15314.18,            15213.03,   138.89,  63094.29,           63544.68,      1.82,      4.87,           6.52,  +2.90,  +1.82
  0,     UK003W,       0,  0.006310, 2459521.623140022159, 177.46948,  36.82455,               64.72964,  27.72828,        64.71722,       27.73647,    177.46948,     +36.82455,     177.47205,      +36.83811,    31201.12,  3987527.13,  5091702.51,      52.116865,       +2.627279,  102461.16,  214065.01,       0.00,              705.21,   213.52,      0.00,           60714.27,    -49.72,    -12.30,          49.35,  +2.21,  +0.56
  1,     UK003W,       0,  0.087562, 2459521.623140962794, 178.93853,  36.64284,               63.92880,  26.77317,        63.91671,       26.78110,    178.93853,     +36.64284,     178.94163,      +36.65606,    32183.36,  3983115.22,  5090003.72,      52.138396,       +2.612314,   98416.54,  212132.35,    4828.63,             5533.84,    -5.93,  59427.79,           60714.27,    -48.16,    -11.91,          48.24,  +1.53,  -0.10
  2,     UK003W,       0,  0.128206, 2459521.623141433112, 179.70261,  36.55162,               63.50773,  26.28052,        63.50543,       26.28203,    179.70261,     +36.55162,     179.70370,      +36.55414,    32687.74,  3980849.69,  5089131.39,      52.149462,       +2.604622,   96340.00,  211176.31,    7308.14,             8013.36,   -51.56,  61005.76,           60714.27,     -9.14,     -2.26,           9.19,  +1.70,  +0.08
  3,     UK003W,       0,  0.168890, 2459521.623141903896, 180.50345,  36.44212,               63.07559,  25.75551,        63.07617,       25.75513,    180.50345,     +36.44212,     180.50402,      +36.44149,    33214.09,  3978485.48,  5088221.06,      52.161017,       +2.596593,   94173.31,  210205.65,    9895.65,            10600.87,     8.30,  63600.17,           60714.27,      2.30,      0.57,           2.32,  +1.70,  +0.09
  4,     UK003W,       0,  0.209526, 2459521.623142374214, 181.27774,  36.35534,               62.64162,  25.26302,        62.66649,       25.24681,    181.27774,     +36.35534,     181.27218,      +36.32810,    33716.26,  3976229.85,  5087352.54,      52.172048,       +2.588916,   92106.40,  209304.83,   12364.34,            13069.55,   -47.68,  60751.11,           60967.91,     98.36,     24.24,          99.83,  +2.74,  +1.14
  5,     UK003W,       1,  0.250190, 2459521.623142844997, 182.03477,  36.22478,               62.25041,  24.74952,        62.26322,       24.74119,    182.03477,     +36.22478,     182.03236,      +36.21075,    34210.52,  3974009.81,  5086497.72,      52.182912,       +2.581349,   90072.36,  208442.88,   14794.06,            15499.27,  -144.35,  59751.22,           60921.00,     50.54,     12.47,          51.51,  +6.27,  +4.68

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.