Orbital Analysis for matched events on 20210810_233732.929_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 59.79° Bg 37.67° Vg 59.96km/s
mass 0.01632g, abs. mag 0.2
Path Details
------------
start 0.70° 53.47° 111.57km
end   0.53° 53.38° 97.11km

Orbit Details
-------------
Semimajor axis 29.09A.U., eccentricity 0.97, inclination 115.02°, Period 156.89Y, LA Sun 138.25°, last Perihelion 2021-07-23

Full details below
Click here to download a zip of the raw and processed data.

Detailed report below graphs

Click on an image to see a larger view


Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459437.484408901539
Time: 2021-08-10 23:37:32.969205 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 60.50693 deg
 R.A. =  43.65055  Dec = +56.52452 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 60.51 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2726840.07 +/- 86.87 m
 Y =  -2748072.54 +/- 11.55 m
 Z =   5194102.93 +/- 78.03 m
 Vx =    24161.26 +/- 368.01 m/s
 Vy =    23143.85 +/- 310.50 m/s
 Vz =    50976.93 +/- 401.13 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.714151e+03, +5.903637e+01, +3.218027e+03, +1.242010e+04, +1.108417e+03, +1.129256e+04
+5.903637e+01, +1.021648e+02, +3.713066e+01, +7.673023e+01, -1.708243e+01, -5.295558e+02
+3.218027e+03, +3.713066e+01, +2.918974e+03, +1.116467e+04, +9.801845e+02, +1.042421e+04
+1.242010e+04, +7.673023e+01, +1.116467e+04, +5.375263e+04, +4.054689e+03, +4.962799e+04
+1.108417e+03, -1.708243e+01, +9.801845e+02, +4.054689e+03, +3.569552e+02, +3.921218e+03
+1.129256e+04, -5.295558e+02, +1.042421e+04, +4.962799e+04, +3.921218e+03, +5.041248e+04

Timing offsets (from input data):
    UK002K: 0.000000 s
    UK0032: -0.000672 s

Reference point on the trajectory:
  Time: 2021-08-10 23:37:32.969205 UTC
  Lon     = ++0.726974 +/- 0.0010 deg
  Lat     = +53.482329 +/- 0.0001 deg
  Lat geo = +53.301334 +/- 0.0001 deg
  Ht      =  113727.13 +/- 97.41 m

  JD dynamic   = 2459437.485210106708 
  LST apparent = 314.7778000692 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.76791 +/- 0.4041 deg
  Dec       = +56.72206 +/- 0.0579 deg
  Azimuth   =  48.24654 +/- 0.2318 deg
  Elevation = +42.65956 +/- 0.1539 deg
  Vavg      =  60.12096 +/- 0.3709 km/s
  Vinit     =  60.97583 +/- 0.4394 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  43.77635 +/- 0.4041 deg
  Dec       = +56.50088 +/- 0.0579 deg
  Azimuth   =  48.48562 +/- 0.2318 deg
  Elevation = +42.52555 +/- 0.1539 deg
  Vavg      =  60.27629 +/- 0.3709 km/s
  Vinit     =  61.13117 +/- 0.4394 km/s
Radiant (geocentric, J2000):
  R.A.   =  43.98700 +/- 0.4134 deg
  Dec    = +56.38622 +/- 0.0545 deg
  Vg     =  59.95828 +/- 0.4468 km/s
  Vinf   =  60.97583 +/- 0.4394 km/s
  Zc     =  47.46112 +/- 0.1545 deg
  Zg     =  47.88498 +/- 0.1622 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  59.78642 +/- 0.2889 deg
  Bg     = +37.67308 +/- 0.0552 deg
  Vh     =  41.47266 +/- 0.3907 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  76.51241 +/- 0.9427 deg
  Bh     = +62.07814 +/- 0.0946 deg
  Vh_x   =  -4.52948 +/- 0.3692 km/s
  Vh_y   = -18.88467 +/- 0.1598 km/s
  Vh_z   = -36.64470 +/- 0.3142 km/s
Orbit:
  La Sun = 138.253693 +/- -0.0000 deg
  a      =  29.089258 +/- 44.9556 AU
  e      =   0.966897 +/- 0.0353
  i      = 115.022914 +/- 0.2797 deg
  peri   = 153.938732 +/- 1.1930 deg
  node   = 138.252504 +/- 0.0000 deg
  Pi     = 292.191237 +/- 1.1930 deg
  q      =   0.962938 +/- 0.0036 AU
  f      =  26.057148 +/- 1.1931 deg
  M      =   0.115832 +/- nan deg
  Q      =  57.215577 +/- 89.9125 AU
  n      =   0.006282 +/- 0.0061 deg/day
  T      = 156.891565 +/- 442216491.8187 years
  Last perihelion JD = 2459419.046733 (2021-07-23 13:07:17.751183) +/- 0.5924 days
  Tj     =  -0.331435 +/- 0.2018
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.088381e-04, +5.306698e-05, +1.392340e-02, -5.441681e-09, +3.038102e-04, +6.877866e-05
q   , +5.306698e-05, +5.803204e-06, +1.497551e-03, -6.076494e-10, +3.291052e-05, +7.679833e-06
Tp  , +1.392340e-02, +1.497551e-03, +3.886954e-01, -1.556811e-07, +8.520699e-03, +1.967637e-03
node, -5.441681e-09, -6.076494e-10, -1.556811e-07, +6.441353e-14, -3.431942e-09, -8.140972e-10
peri, +3.038102e-04, +3.291052e-05, +8.520699e-03, -3.431942e-09, +1.869875e-04, +4.337539e-05
i   , +6.877866e-05, +7.679833e-06, +1.967637e-03, -8.140972e-10, +4.337539e-05, +1.028907e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.493572
 a2 = 17.187465

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 9.651e-06 s
  Stddev    = 3.11e-03 s

Begin point on the trajectory:
  Lon =     0.701148 +/- 0.0007 deg
  Lat =    53.468571 +/- 0.0000 deg
  Ht  = 111572.12 +/- 73.28 m
End point on the trajectory:
  Lon =     0.526085 +/- 0.0006 deg
  Lat =    53.375738 +/- 0.0001 deg
  Ht  = 97111.92 +/- 60.23 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.896817,  15.569353,   111572.12,    97111.92,          0.007167,     14.71,      3.58,              32.58, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_233730_682_0294912.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   110531.40,    99039.17,          0.018758,     11.93,     39.09,              14.70, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_233731_068_0301056.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,     UK002K,       1,  0.000000, 2459437.484408901539, 359.88342,  40.16310,               94.35152,  56.40514,        94.35017,       56.41278,    359.88342,     +40.16310,     359.87629,      +40.16850,  2726833.59, -2748078.74,  5194089.27,      53.482258,       +0.727009,  113716.06,  135941.98,       0.00,               16.33,  -581.03,      0.00,           63892.18,      4.30,    -17.70,          27.63,  +4.74,  +4.07
  1,     UK002K,       0,  0.040116, 2459437.484409365803, 359.19644,  39.64918,               95.67537,  56.48504,        95.67588,       56.48147,    359.19644,     +39.64918,     359.19993,      +39.64668,  2725579.73, -2749279.80,  5191443.80,      53.468571,       +0.701148,  111572.12,  133284.26,    3164.37,             3180.70,   137.23,  78880.50,           63892.18,     -1.97,      8.09,          12.89,  +2.33,  +1.71
  2,     UK002K,       0,  0.080224, 2459437.484409830067, 358.65965,  39.21576,               96.76002,  56.52299,        96.75947,       56.52784,    358.65965,     +39.21576,     358.65547,      +39.21914,  2724593.71, -2750224.30,  5189363.43,      53.457797,       +0.680776,  109886.72,  131208.94,    5652.79,             5669.12,   180.03,  62043.02,           63892.18,      2.63,    -10.82,          17.50,  +1.75,  +1.16
  3,     UK002K,       0,  0.120312, 2459437.484410293866, 358.19840,  38.85153,               97.68453,  56.55778,        97.68428,       56.56059,    358.19840,     +38.85153,     358.19629,      +38.85347,  2723777.93, -2751005.74,  5187642.24,      53.448877,       +0.663891,  108492.67,  129502.04,    7711.59,             7727.92,  -205.56,  51357.02,           63892.18,      1.50,     -6.18,          10.13,  +1.17,  +0.61
  4,     UK002K,       0,  0.160432, 2459437.484410758596, 357.60558,  38.36598,               98.90161,  56.58666,        98.90130,       56.59202,    357.60558,     +38.36598,     357.60128,      +38.36966,  2722737.49, -2752002.36,  5185447.06,      53.437491,       +0.642403,  106715.23,  127342.14,   10337.34,            10353.68,   -26.16,  65447.49,           62888.56,      2.81,    -11.57,          19.28,  +0.99,  +0.47
  5,     UK002K,       0,  0.200548, 2459437.484411222860, 357.04243,  37.89732,              100.07251,  56.60423,       100.07232,       56.61130,    357.04243,     +37.89732,     357.03672,      +37.90214,  2721769.86, -2752929.25,  5183405.49,      53.426893,       +0.622407,  105062.67,  125349.14,   12779.36,            12795.69,   -30.25,  60873.82,           62313.94,      3.66,    -15.02,          25.44,  +0.96,  +0.47
  6,     UK002K,       0,  0.240660, 2459437.484411687125, 356.44847,  37.41235,              101.29961,  56.62363,       101.29959,       56.61963,    356.44847,     +37.41235,     356.45318,      +37.40964,  2720788.29, -2753869.49,  5181334.51,      53.416133,       +0.602124,  103386.80,  123344.25,   15256.56,            15272.89,     1.08,  61757.02,           62049.07,     -2.04,      8.38,          14.42,  +0.90,  +0.44
  7,     UK002K,       0,  0.280792, 2459437.484412151389, 355.90532,  36.92447,              102.48442,  56.60594,       102.48481,       56.61649,    355.90532,     +36.92447,     355.89673,      +36.93157,  2719869.80, -2754749.30,  5179396.62,      53.406057,       +0.583134,  101819.07,  121483.82,   17574.55,            17590.88,  -128.01,  57759.18,           61581.00,      5.29,    -21.74,          37.98,  +1.10,  +0.68
  8,     UK002K,       0,  0.320916, 2459437.484412615653, 355.31593,  36.42197,              103.73773,  56.59921,       103.73784,       56.60080,    355.31593,     +36.42197,     355.31581,      +36.42304,  2718927.78, -2755651.65,  5177409.09,      53.395714,       +0.563662,  100211.63,  119592.72,   19951.93,            19968.26,  -197.22,  59250.84,           61207.20,      0.79,     -3.22,           5.72,  +1.12,  +0.73
  9,     UK002K,       0,  0.361068, 2459437.484413080383, 354.69876,  35.85176,              105.11031,  56.55442,       105.11183,       56.56880,    354.69876,     +35.85176,     354.68697,      +35.86132,  2717926.46, -2756610.80,  5175296.45,      53.384711,       +0.542974,   98503.52,  117602.57,   22478.96,            22495.29,  -118.50,  62936.51,           61111.34,      7.00,    -28.73,          51.87,  +2.00,  +1.65
 10,     UK002K,       0,  0.401184, 2459437.484413544647, 354.16961,  35.38245,              106.26360,  56.52378,       106.26459,       56.53106,    354.16961,     +35.38245,     354.16457,      +35.38726,  2717110.47, -2757392.43,  5173574.83,      53.375738,       +0.526085,   97111.92,  115995.32,   24538.27,            24554.60,  -505.29,  51333.91,           60614.61,      3.50,    -14.35,          26.27,  +3.09,  +2.77
  0,     UK0032,       1,  0.032395, 2459437.484409282450,  18.97503,  66.08519,               41.62355,  56.43516,        41.62919,       56.43614,     18.97503,     +66.08519,      18.97153,      +66.08227,  2725603.95, -2749256.60,  5191494.90,      53.468835,       +0.701674,  111613.52,  133434.59,       0.00,             3119.58,   546.90,      0.00,           57671.71,     -7.27,      2.21,          11.75,  +4.65,  +4.02
  1,     UK0032,       0,  0.072251, 2459437.484409743920,  18.57136,  66.16696,               41.52463,  56.60952,        41.52538,       56.60965,     18.57136,     +66.16696,      18.57118,      +66.16657,  2724970.92, -2749862.98,  5190159.28,      53.461920,       +0.688536,  110531.40,  131887.58,    1597.59,             4717.18,  -285.76,  40084.16,           57671.71,     -0.96,      0.29,           1.57,  +1.58,  +0.98
  2,     UK0032,       0,  0.111995, 2459437.484410203993,  17.85721,  66.31142,               41.34235,  56.91560,        41.34344,       56.91579,     17.85721,     +66.31142,      17.85700,      +66.31086,  2723881.26, -2750906.75,  5187860.26,      53.450007,       +0.666041,  108669.23,  129230.85,    4347.56,             7467.14,    40.78,  69191.94,           57671.71,     -1.35,      0.41,           2.26,  +1.43,  +0.87
  3,     UK0032,       0,  0.151775, 2459437.484410664067,  17.16028,  66.40035,               41.25026,  57.20461,        41.17598,       57.19183,     17.16028,     +66.40035,      17.20564,      +66.43860,  2722936.18, -2751812.04,  5185866.26,      53.439666,       +0.646509,  107054.62,  126929.48,    6732.67,             9852.25,     0.27,  59957.56,           57671.71,     89.43,    -27.41,         152.00,  +1.34,  +0.82
  4,     UK0032,       0,  0.191515, 2459437.484411124140,  16.49096,  66.57776,               40.98463,  57.49135,        40.99084,       57.49244,     16.49096,     +66.57776,      16.48809,      +66.57457,  2721943.17, -2752763.24,  5183771.15,      53.428792,       +0.625994,  105358.62,  124515.26,    9238.73,            12358.31,    83.15,  63061.44,           59361.02,     -7.30,      2.21,          12.64,  +0.83,  +0.35
  5,     UK0032,       0,  0.231263, 2459437.484411584213,  15.79507,  66.72706,               40.76310,  57.78167,        40.80474,       57.78899,     15.79507,     +66.72706,      15.77195,      +66.70571,  2720999.47, -2753667.20,  5181780.08,      53.418449,       +0.606489,  103747.32,  122224.38,   11620.34,            14739.92,    41.09,  59917.71,           59923.55,    -47.73,     14.40,          84.13,  +0.70,  +0.26
  6,     UK0032,       0,  0.271019, 2459437.484412044287,  15.00086,  66.81809,               40.64773,  58.10206,        40.60904,       58.09533,     15.00086,     +66.81809,      15.02353,      +66.83788,  2720059.53, -2754567.55,  5179796.94,      53.408139,       +0.587061,  102142.88,  119946.35,   13992.47,            17112.05,   -10.93,  59667.14,           60097.10,     43.10,    -13.12,          77.48,  +0.85,  +0.46
  7,     UK0032,       0,  0.310759, 2459437.484412504360,  14.25342,  66.96699,               40.40963,  58.40623,        40.40693,       58.40575,     14.25342,     +66.96699,      14.25618,      +66.96836,  2719141.38, -2755447.04,  5177859.77,      53.398060,       +0.568080,  100576.09,  117724.86,   16309.60,            19429.18,  -116.98,  58307.29,           60020.39,      2.94,     -0.89,           5.37,  +1.24,  +0.89
  8,     UK0032,       0,  0.350495, 2459437.484412964433,  13.46728,  67.10008,               40.19217,  58.72077,        40.19722,       58.72166,     13.46728,     +67.10008,      13.46610,      +67.09751,  2718240.50, -2756309.99,  5175959.02,      53.388163,       +0.549452,   99039.17,  115548.94,   18583.17,            21702.75,  -266.35,  57216.83,           59797.82,     -5.34,      1.62,           9.97,  +2.94,  +2.63

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.