Orbital Analysis for matched events on 20210929_224423.905_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 88.66° Bg 75.81° Vg 30.75km/s
mass 0.01039g, abs. mag 1.0
Path Details
------------
start -0.52° 53.45° 91.93km
end   -0.49° 53.40° 83.21km

Orbit Details
-------------
Semimajor axis 2.31A.U., eccentricity 0.57, inclination 53.24°, Period 3.51Y, LA Sun 186.71°, last Perihelion 2018-04-02

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: 2459487.447498900816
Time: 2021-09-29 22:44:23.905030 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK0035
 Convergence angle = 12.50376 deg
 R.A. = 287.67866  Dec = +82.76162 deg

Best intersection: Stations UK000Z and UK0035 with Qconv = 12.50 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3796367.89 +/- 5521.67 m
 Y =   -704179.92 +/- 11801.46 m
 Z =   5174564.00 +/- 15260.67 m
 Vx =      770.17 +/- 7508.14 m/s
 Vy =    -5229.89 +/- 16781.62 m/s
 Vz =    32265.45 +/- 166592.96 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.253940e+03, +9.763033e+03, +1.207403e+04, +2.273203e+04, +5.693030e+04, +2.793766e+04
+9.763033e+03, +2.287484e+04, +2.794665e+04, +5.294991e+04, +1.362902e+05, +5.929371e+04
+1.207403e+04, +2.794665e+04, +3.478745e+04, +6.307909e+04, +1.599775e+05, +7.643880e+04
+2.273203e+04, +5.294991e+04, +6.307909e+04, +1.910681e+05, +5.081118e+05, +2.089297e+05
+5.693030e+04, +1.362902e+05, +1.599775e+05, +5.081118e+05, +1.402536e+06, +4.635991e+05
+2.793766e+04, +5.929371e+04, +7.643880e+04, +2.089297e+05, +4.635991e+05, +5.894632e+05

Timing offsets (from input data):
    UK000Z: 0.000000 s
    UK0035: -0.009424 s

Reference point on the trajectory:
  Time: 2021-09-29 22:44:23.905030 UTC
  Lon     = +-0.516963 +/- 0.1877 deg
  Lat     = +53.452328 +/- 0.0579 deg
  Lat geo = +53.270665 +/- 0.0585 deg
  Ht      =   91921.84 +/- 14168.01 m

  JD dynamic   = 2459487.448299641721 
  LST apparent = 349.4917603153 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 278.37737 +/- 37.2159 deg
  Dec       = +80.69545 +/- 46.1051 deg
  Azimuth   = 344.33766 +/- 37.4185 deg
  Elevation = +55.48276 +/- 36.1933 deg
  Vavg      =  31.78570 +/- 3896.3808 km/s
  Vinit     =  32.69563 +/- 147.8177 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 279.41744 +/- 37.2159 deg
  Dec       = +81.15531 +/- 46.1051 deg
  Azimuth   = 345.17945 +/- 37.4185 deg
  Elevation = +55.58978 +/- 36.1933 deg
  Vavg      =  31.74381 +/- 3896.3808 km/s
  Vinit     =  32.65375 +/- 147.8177 km/s
Radiant (geocentric, J2000):
  R.A.   = 272.03597 +/- 37.4790 deg
  Dec    = +80.74611 +/- 46.0616 deg
  Vg     =  30.74951 +/- 148.4347 km/s
  Vinf   =  32.69563 +/- 147.8177 km/s
  Zc     =  34.69219 +/- 36.1022 deg
  Zg     =  35.79006 +/- 35.7380 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  88.66487 +/- 52.7166 deg
  Bg     = +75.80676 +/- 38.4418 deg
  Vh     =  37.24510 +/- 154.9050 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 280.65687 +/- 20.0490 deg
  Bh     = +53.17350 +/- 29.1359 deg
  Vh_x   =  -4.12840 +/- 47.1479 km/s
  Vh_y   =  21.93944 +/- 141.6166 km/s
  Vh_z   = -29.81300 +/- 75.7588 km/s
Orbit:
  La Sun = 186.706764 +/- -0.0000 deg
  a      =   2.308815 +/- 2.3424 AU
  e      =   0.567210 +/- 86.1465
  i      =  53.238821 +/- 14.8249 deg
  peri   = 186.541721 +/- 51.3844 deg
  node   = 186.708083 +/- 52.6907 deg
  Pi     =  13.249804 +/- 12.9857 deg
  q      =   0.999232 +/- 0.0289 AU
  f      = 353.456681 +/- 12.9861 deg
  M      = 358.509492 +/- nan deg
  Q      =   3.618398 +/- 4.6621 AU
  n      =   0.280945 +/- 1535.0015 deg/day
  T      =   3.508200 +/- 405080690.8353 years
  Last perihelion JD = 2458211.361309 (2018-04-02 20:40:17.082860) +/- 1248.7880 days
  Tj     =   2.910680 +/- 478.4049
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.004602e-03, +4.576936e-05, -3.392602e+01, +2.054725e-08, -2.205782e-03, -5.454166e-04
q   , +4.576936e-05, +8.814591e-06, -3.316795e-01, +2.264650e-09, -1.008937e-04, -7.729468e-05
Tp  , -3.392602e+01, -3.316795e-01, +3.804721e+05, -6.165320e-05, +1.309406e+01, +1.683101e+00
node, +2.054725e-08, +2.264650e-09, -6.165320e-05, +7.409506e-13, -3.146917e-08, -2.400098e-08
peri, -2.205782e-03, -1.008937e-04, +1.309406e+01, -3.146917e-08, +1.803094e-03, +1.000887e-03
i   , -5.454166e-04, -7.729468e-05, +1.683101e+00, -2.400098e-08, +1.000887e-03, +7.875248e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 26.189738
 a2 = 1.920938

Mean time residuals from time vs. length:
  Station with reference time: UK000Z
  Avg. res. = 4.294e-06 s
  Stddev    = 2.07e-03 s

Begin point on the trajectory:
  Lon =    -0.516978 +/- 0.0146 deg
  Lat =    53.452362 +/- 0.0075 deg
  Ht  = 91927.55 +/- 1228.22 m
End point on the trajectory:
  Lon =    -0.494291 +/- 0.0159 deg
  Lat =    53.401130 +/- 0.0103 deg
  Ht  = 83207.21 +/- 1792.90 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,   0.000000,   0.000000,    91927.55,    83207.21,          0.007237,     14.89,      6.02,              49.68, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210929_224422_985_0391936.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,   1.588219,  25.251667,    90994.35,    86917.20,          0.022898,     56.51,     13.50,              33.68, 1.0000,    True,    True, {"ff_name": "FF_UK0035_20210929_224416_677_0408064.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, 2459487.447498900816,  64.92133,  49.48930,               61.93767,  44.25436,        61.93292,       44.25059,     64.92133,     +49.48930,      64.92884,      +49.48991,  3796368.05,  -704181.03,  5174570.84,      53.452362,       -0.516978,   91927.55,  130439.85,       0.00,                6.93,   184.33,      0.00,           30827.64,      4.33,    -10.71,          18.27,  +2.90,  +2.32
  1,     UK000Z,       0,  0.040260, 2459487.447499366943,  64.99043,  49.11677,               62.32405,  44.00157,        62.32056,       43.99882,     64.99043,     +49.11677,      64.99600,      +49.11721,  3796341.07,  -703997.80,  5173440.39,      53.446825,       -0.514546,   90983.72,  129676.41,    1145.52,             1138.59,    -0.34,  28453.14,           30827.64,      3.16,     -7.81,          13.40,  +1.77,  +1.21
  2,     UK000Z,       0,  0.080572, 2459487.447499833535,  65.07323,  48.66721,               62.78545,  43.69442,        62.78383,       43.69316,     65.07323,     +48.66721,      65.07591,      +48.66741,  3796308.97,  -703779.84,  5172095.71,      53.440237,       -0.511621,   89861.09,  128776.99,    2508.13,             2501.19,    44.24,  33801.39,           30827.64,      1.45,     -3.59,           6.21,  +1.60,  +1.05
  3,     UK000Z,       0,  0.120852, 2459487.447500299662,  65.15631,  48.27505,               63.17750,  43.41855,        63.18511,       43.42448,     65.15631,     +48.27505,      65.14448,      +48.27411,  3796281.24,  -703591.49,  5170933.74,      53.434542,       -0.509116,   88891.05,  128005.33,    3685.59,             3678.66,   -95.28,  29232.06,           30827.64,     -6.79,     16.78,          29.17,  +1.71,  +1.17
  4,     UK000Z,       0,  0.161188, 2459487.447500766721,  65.23562,  47.79129,               63.66791,  43.08802,        63.67331,       43.09220,     65.23562,     +47.79129,      65.22754,      +47.79063,  3796247.65,  -703363.41,  5169526.60,      53.427643,       -0.506048,   87716.43,  127080.70,    5111.50,             5104.56,    11.82,  35350.62,           31672.96,     -4.78,     11.82,          20.70,  +1.87,  +1.35
  5,     UK000Z,       0,  0.201420, 2459487.447501232382,  65.30332,  47.46786,               63.98421,  42.85752,        63.99819,       42.86829,     65.30332,     +47.46786,      65.28207,      +47.46616,  3796225.29,  -703211.62,  5168590.14,      53.423050,       -0.504061,   86934.73,  126468.00,    6060.44,             6053.50,  -354.65,  23586.77,           30761.04,    -12.31,     30.43,          53.54,  +3.27,  +2.76
  6,     UK000Z,       0,  0.322532, 2459487.447502634022,  65.53893,  45.86791,               65.56468,  41.75301,        65.56276,       41.75156,     65.53893,     +45.86791,      65.54295,      +45.86813,  3796118.68,  -702487.68,  5164123.85,      53.401130,       -0.494291,   83207.21,  123617.45,   10586.28,            10579.34,   211.35,  37369.04,           32586.77,      1.65,     -4.09,           7.36,  +3.95,  +3.49
  0,     UK0035,       0,  0.038141, 2459487.447499581147, 265.73545,  45.85024,              299.11486,  37.38479,       299.10013,       37.39672,    265.73545,     +45.85024,     265.75941,      +45.84920,  3796341.37,  -703999.86,  5173453.13,      53.446887,       -0.514653,   90994.35,  148031.22,       0.00,             1125.68,    56.04,      0.00,           31899.47,    -10.07,     42.00,          60.17,  +2.35,  +1.50
  1,     UK0035,       0,  0.078377, 2459487.447500046808, 265.72698,  45.56772,              298.85172,  37.19499,       298.84723,       37.19862,    265.72698,     +45.56772,     265.73440,      +45.56740,  3796312.04,  -703800.67,  5172224.23,      53.440867,       -0.511994,   89968.38,  147022.23,    1245.29,             2370.97,   -14.21,  30949.53,           31899.47,     -3.04,     12.70,          18.33,  +1.60,  +0.76
  2,     UK0035,       0,  0.118593, 2459487.447500512470, 265.75562,  45.29898,              298.58136,  37.03329,       298.60929,       37.01075,    265.75562,     +45.29898,     265.71097,      +45.30089,  3796284.68,  -703614.91,  5171078.19,      53.435250,       -0.509526,   89011.63,  146085.06,    2406.61,             3532.28,  -167.78,  28877.05,           31899.47,     18.77,    -78.62,         114.13,  +2.35,  +1.53
  3,     UK0035,       0,  0.158885, 2459487.447500978597, 265.70309,  44.95486,              298.28881,  36.77822,       298.30290,       36.76688,    265.70309,     +44.95486,     265.68102,      +44.95583,  3796249.69,  -703377.29,  5169612.24,      53.428063,       -0.506321,   87787.91,  144888.76,    3892.10,             5017.78,     0.34,  36868.21,           31899.47,      9.41,    -39.35,          57.60,  +4.42,  +3.61
  4,     UK0035,       0,  0.199093, 2459487.447501443792, 265.70444,  44.70396,              298.05367,  36.61268,       298.08228,       36.58971,    265.70444,     +44.70396,     265.65949,      +44.70590,  3796224.79,  -703208.22,  5168569.13,      53.422947,       -0.504089,   86917.20,  144043.05,    4949.11,             6074.79,  -257.27,  26288.60,           31175.00,     18.97,    -79.43,         116.94,  +3.66,  +2.87

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.