Orbital Analysis for matched events on 20210929_004546.036_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 56.69° Bg -2.93° Vg 54.30km/s
mass 0.00292g, abs. mag 1.8
Path Details
------------
start -3.21° 50.94° 108.51km
end   -3.36° 51.00° 96.19km

Orbit Details
-------------
Semimajor axis 2.18A.U., eccentricity 0.96, inclination 167.32°, Period 3.22Y, LA Sun 185.81°, last Perihelion 2018-08-13

Full details below
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Detailed report below graphs

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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: 2459486.531782826874
Time: 2021-09-29 00:45:46.036242 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK003Z
 Convergence angle = 16.41925 deg
 R.A. =  56.49923  Dec = +16.69094 deg

Best intersection: Stations UK000T and UK003Z with Qconv = 16.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3932218.92 +/- 288.05 m
 Y =   1145419.12 +/- 155.81 m
 Z =   5013629.28 +/- 125.35 m
 Vx =    30305.19 +/- 1214.21 m/s
 Vy =    43470.52 +/- 1332.09 m/s
 Vz =    16241.31 +/- 504.39 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.099394e+04, +3.308667e+04, +2.671865e+04, +2.169620e+05, +6.409918e+04, +8.587491e+04
+3.308667e+04, +1.805622e+04, +1.451042e+04, +1.143076e+05, +3.391425e+04, +4.500389e+04
+2.671865e+04, +1.451042e+04, +1.184337e+04, +9.418149e+04, +2.832516e+04, +3.784221e+04
+2.169620e+05, +1.143076e+05, +9.418149e+04, +1.005212e+06, +3.196315e+05, +4.179241e+05
+6.409918e+04, +3.391425e+04, +2.832516e+04, +3.196315e+05, +1.526235e+05, +1.385268e+05
+8.587491e+04, +4.500389e+04, +3.784221e+04, +4.179241e+05, +1.385268e+05, +1.787825e+05

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK003Z: 0.001870 s

Reference point on the trajectory:
  Time: 2021-09-29 00:45:46.036242 UTC
  Lon     = +-3.207996 +/- 0.0010 deg
  Lat     = +50.939790 +/- 0.0015 deg
  Lat geo = +50.754518 +/- 0.0015 deg
  Ht      =  108518.64 +/- 298.75 m

  JD dynamic   = 2459486.532583567780 
  LST apparent = 16.2403544845 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  55.11797 +/- 0.8633 deg
  Dec       = +17.03975 +/- 0.2069 deg
  Azimuth   = 123.23994 +/- 0.7992 deg
  Elevation = +44.15140 +/- 0.6261 deg
  Vavg      =  55.04444 +/- 0.7491 km/s
  Vinit     =  55.42446 +/- 1.0676 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  55.36847 +/- 0.8633 deg
  Dec       = +16.98300 +/- 0.2069 deg
  Azimuth   = 123.00554 +/- 0.7992 deg
  Elevation = +43.97187 +/- 0.6261 deg
  Vavg      =  55.22418 +/- 0.7491 km/s
  Vinit     =  55.60420 +/- 1.0676 km/s
Radiant (geocentric, J2000):
  R.A.   =  55.09580 +/- 0.8809 deg
  Dec    = +16.55906 +/- 0.2256 deg
  Vg     =  54.30224 +/- 1.0899 km/s
  Vinf   =  55.42446 +/- 1.0676 km/s
  Zc     =  45.74725 +/- 0.6282 deg
  Zg     =  46.24167 +/- 0.6549 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  56.68824 +/- 0.7768 deg
  Bg     =  -2.93382 +/- 0.4050 deg
  Vh     =  36.93435 +/- 1.2833 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  25.39562 +/- 0.2920 deg
  Bh     =  -4.31206 +/- 0.6769 deg
  Vh_x   = -33.27087 +/- 1.1992 km/s
  Vh_y   = -15.79505 +/- 0.5687 km/s
  Vh_z   =   2.77704 +/- 0.3223 km/s
Orbit:
  La Sun = 185.807352 +/- nan deg
  a      =   2.180576 +/- 0.5442 AU
  e      =   0.957548 +/- 0.0081
  i      = 167.321395 +/- 1.8037 deg
  peri   = 148.813139 +/- 1.9686 deg
  node   =   5.812841 +/- 0.0006 deg
  Pi     = 154.625979 +/- 1.9681 deg
  q      =   0.092569 +/- 0.0055 AU
  f      = 211.191463 +/- 1.9692 deg
  M      = 349.654401 +/- 3.9271 deg
  Q      =   4.268583 +/- 1.0834 AU
  n      =   0.306089 +/- 0.1086 deg/day
  T      =   3.220011 +/- 1.2888 years
  Last perihelion JD = 2458344.202287 (2018-08-13 16:51:17.625901) +/- 471.2570 days
  Tj     =   2.022550 +/- 0.5628
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.854435e-05, +2.816316e-05, -2.864893e+00, +6.012548e-08, -1.985367e-04, +1.807814e-04
q   , +2.816316e-05, +2.931576e-05, -2.182846e+00, +3.650275e-08, -1.625849e-04, +1.032902e-04
Tp  , -2.864893e+00, -2.182846e+00, +2.036775e+05, -3.565074e-03, +1.348515e+01, -1.009085e+01
node, +6.012548e-08, +3.650275e-08, -3.565074e-03, +7.783143e-11, -2.521325e-07, +2.335304e-07
peri, -1.985367e-04, -1.625849e-04, +1.348515e+01, -2.521325e-07, +9.865150e-04, -7.384287e-04
i   , +1.807814e-04, +1.032902e-04, -1.009085e+01, +2.335304e-07, -7.384287e-04, +7.159815e-04

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: UK000T
  Avg. res. = 1.295e-05 s
  Stddev    = 3.60e-03 s

Begin point on the trajectory:
  Lon =    -3.208117 +/- 0.0009 deg
  Lat =    50.939840 +/- 0.0015 deg
  Ht  = 108508.59 +/- 296.21 m
End point on the trajectory:
  Lon =    -3.358563 +/- 0.0004 deg
  Lat =    51.001403 +/- 0.0010 deg
  Ht  = 96188.24 +/- 219.03 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,   0.000000,   0.000000,   108508.59,    96188.24,          0.005983,     12.01,      0.64,              26.59, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20210929_004541_246_0551168.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,   105807.38,    96505.91,          0.013044,     34.08,      9.18,              85.75, 1.0000,    True,    True, {"ff_name": "FF_UK003Z_20210929_004543_551_0573440.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,     UK000T,       0,  0.000000, 2459486.531782826874,  28.08427,  21.40934,              157.91901,  58.46227,       157.92105,       58.45927,     28.08427,     +21.40934,      28.08366,      +21.40617,  3932211.03,  1145407.80,  5013625.05,      50.939840,       -3.208117,  108508.59,  126873.73,       0.00,               14.43,    38.61,      0.00,           54631.50,     -0.38,     -7.06,          11.49,  +2.80,  +2.28
  1,     UK000T,       0,  0.040012, 2459486.531783289742,  27.63607,  21.44228,              158.67775,  58.59740,       158.67794,       58.59710,     27.63607,     +21.44228,      27.63591,      +21.44197,  3931081.16,  1143787.09,  5013019.53,      50.947023,       -3.225638,  107069.34,  125015.36,    2066.39,             2080.82,  -112.64,  51644.27,           54631.50,     -0.04,     -0.68,           1.12,  +2.05,  +1.57
  2,     UK000T,       0,  0.080024, 2459486.531783753075,  27.11243,  21.47699,              159.57214,  58.74730,       159.56895,       58.75234,     27.11243,     +21.47699,      27.11292,      +21.48228,  3929801.41,  1141951.38,  5012333.68,      50.955160,       -3.245478,  105439.57,  122919.05,    4406.90,             4421.33,    10.22,  58495.09,           54631.50,      0.60,     11.36,          19.10,  +1.67,  +1.22
  3,     UK000T,       0,  0.120020, 2459486.531784215942,  26.62802,  21.52315,              160.39914,  58.89548,       160.40203,       58.89073,     26.62802,     +21.52315,      26.62780,      +21.51818,  3928654.02,  1140305.53,  5011718.76,      50.962456,       -3.263297,  103978.70,  121047.16,    6505.34,             6519.77,  -108.09,  52466.31,           54631.50,     -0.56,    -10.51,          17.93,  +1.62,  +1.21
  4,     UK000T,       0,  0.160032, 2459486.531784678809,  26.04593,  21.56179,              161.40766,  59.05178,       161.40901,       59.04945,     26.04593,     +21.56179,      26.04610,      +21.55938,  3927321.89,  1138394.70,  5011004.84,      50.970928,       -3.283974,  102283.07,  118884.01,    8941.63,             8956.06,   110.56,  60889.11,           55795.51,     -0.27,     -5.02,           8.73,  +1.66,  +1.28
  5,     UK000T,       0,  0.200044, 2459486.531785142142,  25.49105,  21.59870,              162.37613,  59.19528,       162.37716,       59.19339,     25.49105,     +21.59870,      25.49143,      +21.59675,  3926096.90,  1136637.53,  5010348.33,      50.978719,       -3.303019,  100724.19,  116904.39,   11182.00,            11196.43,   133.28,  55992.38,           56156.21,     -0.21,     -3.98,           7.04,  +1.55,  +1.21
  6,     UK000T,       0,  0.240068, 2459486.531785605475,  24.93015,  21.62800,              163.36499,  59.32688,       163.36266,       59.33135,     24.93015,     +21.62800,      24.93119,      +21.63261,  3924901.11,  1134922.27,  5009707.48,      50.986325,       -3.321628,   99202.86,  114981.43,   13368.94,            13383.37,   101.92,  54640.80,           56122.60,      0.49,      9.26,          16.64,  +1.76,  +1.46
  7,     UK000T,       0,  0.280056, 2459486.531786068343,  24.31794,  21.68434,              164.44300,  59.48794,       164.44998,       59.47371,     24.31794,     +21.68434,      24.31781,      +21.66971,  3923636.00,  1133107.56,  5009029.48,      50.994372,       -3.341322,   97593.73,  112957.82,   15682.67,            15697.10,   199.33,  57860.60,           56253.34,     -1.54,    -28.86,          52.77,  +1.94,  +1.68
  8,     UK000T,       0,  0.320084, 2459486.531786531210,  23.76184,  21.70491,              165.43975,  59.59817,       165.44137,       59.59467,     23.76184,     +21.70491,      23.76264,      +21.70132,  3922530.74,  1131522.15,  5008437.14,      51.001403,       -3.358563,   96188.24,  111199.20,   17704.06,            17718.49,     2.19,  50499.35,           55930.57,     -0.37,     -6.98,          12.96,  +3.23,  +3.00
  0,     UK003Z,       0,  0.067292, 2459486.531783664599, 319.28842,  30.19629,              267.33113,  42.44647,       267.32802,       42.44536,    319.28842,     +30.19629,     319.28932,      +30.19387,  3930090.26,  1142365.71,  5012488.48,      50.953324,       -3.241004,  105807.38,  155193.49,       0.00,             3893.06,   187.64,      0.00,           52576.29,     -1.79,     -6.66,           9.17,  +3.08,  +2.13
  1,     UK003Z,       0,  0.107912, 2459486.531784134917, 318.43944,  29.98561,              267.80520,  41.76802,       267.77126,       41.75599,    318.43944,     +29.98561,     318.44962,      +29.95897,  3928961.89,  1140747.15,  5011883.76,      50.960499,       -3.258530,  104370.65,  155085.08,    2063.64,             5956.71,    -0.06,  50803.58,           52576.29,    -19.73,    -73.24,         100.89,  +2.44,  +1.49
  2,     UK003Z,       0,  0.148544, 2459486.531784605235, 317.60898,  29.72384,              268.21362,  41.06555,       268.20632,       41.06297,    317.60898,     +29.72384,     317.61154,      +29.71807,  3927831.65,  1139125.91,  5011278.03,      50.967686,       -3.276097,  102931.87,  155004.12,    4130.71,             8023.77,  -185.00,  50872.92,           52576.29,     -4.27,    -15.88,          21.89,  +2.25,  +1.30
  3,     UK003Z,       0,  0.189244, 2459486.531785076018, 316.67889,  29.44890,              268.68796,  40.29071,       268.68096,       40.28824,    316.67889,     +29.44890,     316.68159,      +29.44333,  3926571.83,  1137318.79,  5010602.86,      50.975698,       -3.295674,  101328.52,  154945.51,    6434.77,            10327.83,  -136.71,  56610.71,           52576.29,     -4.13,    -15.36,          21.18,  +3.04,  +2.09
  4,     UK003Z,       0,  0.229968, 2459486.531785547268, 315.71752,  29.15939,              269.17247,  39.48546,       269.16240,       39.48192,    315.71752,     +29.15939,     315.72145,      +29.15133,  3925264.42,  1135443.41,  5009902.19,      50.984014,       -3.316002,   99665.03,  154920.78,    8825.86,            12718.93,    -2.72,  58714.70,           54153.33,     -6.00,    -22.30,          30.74,  +3.23,  +2.28
  5,     UK003Z,       0,  0.270804, 2459486.531786019914, 314.60567,  28.81813,              269.72622,  38.54886,       269.70823,       38.54254,    314.60567,     +28.81813,     314.61252,      +28.80362,  3923744.56,  1133263.29,  5009087.66,      50.993682,       -3.339628,   97731.81,  154937.19,   11605.49,            15498.56,   513.59,  68068.12,           56599.87,    -10.85,    -40.29,          55.54,  +3.42,  +2.47
  6,     UK003Z,       0,  0.311340, 2459486.531786489300, 313.91309,  28.57398,              270.04226,  37.94300,       270.04699,       37.94465,    313.91309,     +28.57398,     313.91250,      +28.57781,  3922780.58,  1131880.52,  5008571.03,      50.999814,       -3.354687,   96505.91,  154976.92,   13368.51,            17261.58,    29.93,  43492.66,           56072.82,      2.87,     10.67,          14.70,  +5.76,  +4.81

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.