Orbital Analysis for matched events on 20210810_032037.354_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 54.51° Bg 35.78° Vg 61.44km/s
mass 0.00735g, abs. mag 0.6
Path Details
------------
start -2.07° 49.75° 105.71km
end   -2.12° 49.74° 96.22km

Orbit Details
-------------
Semimajor axis 39.22A.U., eccentricity 0.97, inclination 119.19°, Period 245.60Y, LA Sun 137.44°, last Perihelion 2021-07-29

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: 2459436.639321238268
Time: 2021-08-10 03:20:37.354986 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0038
 Convergence angle = 17.30630 deg
 R.A. =  42.08345  Dec = +54.73036 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 17.31 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4166893.98 +/- 211.93 m
 Y =    505230.22 +/- 38.16 m
 Z =   4925684.20 +/- 35.03 m
 Vx =    29291.24 +/- 1878.45 m/s
 Vy =    23313.90 +/- 637.92 m/s
 Vz =    49961.91 +/- 1292.50 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.296558e+05, +4.025666e+03, -5.428448e+03, +9.643643e+05, +2.479428e+04, -3.523446e+04
+4.025666e+03, +1.079040e+03, -3.822659e+01, +3.167191e+04, +9.008018e+03, -4.116275e+03
-5.428448e+03, -3.822659e+01, +1.061651e+03, -5.528222e+04, -3.110224e+03, +5.724111e+03
+9.643643e+05, +3.167191e+04, -5.528222e+04, +7.608467e+06, +2.946376e+05, -3.771854e+05
+2.479428e+04, +9.008018e+03, -3.110224e+03, +2.946376e+05, +1.167039e+05, -6.251796e+04
-3.523446e+04, -4.116275e+03, +5.724111e+03, -3.771854e+05, -6.251796e+04, +5.385167e+04

Timing offsets (from input data):
    UK000H: -0.000268 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 03:20:37.354986 UTC
  Lon     = +-2.072873 +/- 0.0005 deg
  Lat     = +49.750877 +/- 0.0015 deg
  Lat geo = +49.564093 +/- 0.0015 deg
  Ht      =  105753.00 +/- 128.60 m

  JD dynamic   = 2459436.640121979173 
  LST apparent = 6.9132890330 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  38.51748 +/- 1.8953 deg
  Dec       = +53.15553 +/- 1.2337 deg
  Azimuth   =  67.95247 +/- 3.2612 deg
  Elevation = +70.18187 +/- 1.0717 deg
  Vavg      =  59.90796 +/- 0.6475 km/s
  Vinit     =  62.43162 +/- 0.6702 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  38.91474 +/- 1.8953 deg
  Dec       = +53.03724 +/- 1.2337 deg
  Azimuth   =  68.25936 +/- 3.2612 deg
  Elevation = +69.93704 +/- 1.0717 deg
  Vavg      =  60.00482 +/- 0.6475 km/s
  Vinit     =  62.52848 +/- 0.6702 km/s
Radiant (geocentric, J2000):
  R.A.   =  38.40939 +/- 1.9196 deg
  Dec    = +53.05442 +/- 1.2415 deg
  Vg     =  61.43716 +/- 0.6816 km/s
  Vinf   =  62.43162 +/- 0.6702 km/s
  Zc     =  19.88897 +/- 1.0801 deg
  Zg     =  20.05026 +/- 1.0937 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  54.50839 +/- 1.8015 deg
  Bg     = +35.78445 +/- 0.8137 deg
  Vh     =  41.56469 +/- 0.2248 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  63.67906 +/- 5.0094 deg
  Bh     = +59.80654 +/- 0.9412 deg
  Vh_x   =  -9.26871 +/- 1.7935 km/s
  Vh_y   = -18.73656 +/- 0.2819 km/s
  Vh_z   = -35.92570 +/- 0.3603 km/s
Orbit:
  La Sun = 137.442803 +/- -0.0000 deg
  a      =  39.218075 +/- 7.1745 AU
  e      =   0.974669 +/- 0.0198
  i      = 119.190109 +/- 1.8026 deg
  peri   = 163.625148 +/- 3.9749 deg
  node   = 137.442758 +/- 0.0001 deg
  Pi     = 301.067906 +/- 3.9748 deg
  q      =   0.993432 +/- 0.0143 AU
  f      =  16.371208 +/- 3.9750 deg
  M      =   0.047609 +/- 0.1745 deg
  Q      =  77.442719 +/- 14.3403 AU
  n      =   0.004013 +/- 0.0081 deg/day
  T      = 245.600956 +/- 52.3699 years
  Last perihelion JD = 2459424.776598 (2021-07-29 06:38:18.079146) +/- 2.6661 days
  Tj     =  -0.466162 +/- 0.1248
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.160235e-03, +5.823886e-04, +1.325491e-01, -7.798595e-08, +3.288985e-03, +1.110424e-03
q   , +5.823886e-04, +4.312436e-04, +9.111832e-02, -6.154106e-08, +2.306798e-03, +8.863745e-04
Tp  , +1.325491e-01, +9.111832e-02, +1.953622e+01, -1.297888e-05, +4.927586e-01, +1.865895e-01
node, -7.798595e-08, -6.154106e-08, -1.297888e-05, +9.349264e-12, -3.291666e-07, -1.348973e-07
peri, +3.288985e-03, +2.306798e-03, +4.927586e-01, -3.291666e-07, +1.244098e-02, +4.734613e-03
i   , +1.110424e-03, +8.863745e-04, +1.865895e-01, -1.348973e-07, +4.734613e-03, +1.946904e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.033557
 a2 = 56.452106

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 1.347e-08 s
  Stddev    = 1.16e-04 s

Begin point on the trajectory:
  Lon =    -2.073069 +/- 0.0005 deg
  Lat =    49.750826 +/- 0.0015 deg
  Ht  = 105709.92 +/- 117.19 m
End point on the trajectory:
  Lon =    -2.117151 +/- 0.0004 deg
  Lat =    49.739441 +/- 0.0010 deg
  Ht  = 96215.68 +/- 71.12 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000079,  91.858943,   105362.81,    96215.68,          0.010007,     27.29,      7.20,              65.69, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_032035_780_0632576.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   105709.92,    96573.79,          0.025430,     78.84,     49.83,              69.93, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_032037_805_0628480.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,     UK000H,       0,  0.006304, 2459436.639321392868, 359.59633,   0.61448,              189.86149,  39.34372,       189.84661,       39.33973,    359.59633,      +0.61448,     359.60734,       +0.60927,  4166699.39,   505075.34,  4925352.29,      49.750410,       -2.074708,  105362.81,  164209.64,       0.00,              414.75,    -3.26,      0.00,           62383.87,      8.90,     33.77,          43.86,  +1.81,  +0.73
  1,     UK000H,       0,  0.046988, 2459436.639321863651, 359.26665,  -0.10173,              190.18177,  38.59563,       190.18216,       38.59574,    359.26665,      -0.10173,     359.26653,       -0.10159,  4165506.23,   504125.66,  4923317.13,      49.747546,       -2.085791,  102970.37,  163018.45,    2543.11,             2957.85,    -0.12,  62508.73,           62383.87,     -0.23,     -0.89,           1.16,  +1.25,  +0.19
  2,     UK000H,       0,  0.087684, 2459436.639322334900, 358.91558,  -0.82054,              190.52193,  37.84163,       190.51557,       37.83993,    358.91558,      -0.82054,     358.92072,       -0.82281,  4164313.00,   503175.93,  4921281.84,      49.744678,       -2.096882,  100577.88,  161858.49,    5086.37,             5501.12,     2.43,  62494.29,           62383.87,      3.82,     14.49,          19.09,  +0.85,  -0.20
  3,     UK000H,       0,  0.128384, 2459436.639322805684, 358.58354,  -1.55556,              190.82896,  37.07283,       190.84485,       37.07708,    358.58354,      -1.55556,     358.57196,       -1.54983,  4163126.95,   502231.91,  4919258.81,      49.741824,       -2.107913,   98199.89,  160737.22,    7614.33,             8029.07,   -10.59,  62111.87,           62383.87,     -9.57,    -36.26,          48.12,  +0.92,  -0.11
  4,     UK000H,       0,  0.168976, 2459436.639323275536, 358.26480,  -2.15898,              191.13308,  36.43547,       191.11886,       36.43167,    358.26480,      -2.15898,     358.27638,       -2.16414,  4162137.28,   501444.20,  4917570.73,      49.739441,       -2.117151,   96215.68,  159826.57,    9723.72,            10138.47,  -435.41,  51965.87,           60281.95,      8.57,     32.52,          43.41,  +2.28,  +1.26
  0,     UK0038,       0,  0.000000, 2459436.639321238268,  12.85787,  -9.11507,              172.91986,  29.28252,       172.97630,       29.30138,     12.85787,      -9.11507,      12.80662,       -9.10008,  4166872.50,   505213.12,  4925647.56,      49.750826,       -2.073069,  105709.92,  210344.90,       0.00,               45.78,    21.34,      0.00,           62314.43,   -103.42,   -163.57,         189.77,  +2.80,  +1.19
  1,     UK0038,       0,  0.040436, 2459436.639321706258,  12.64136,  -9.70337,              173.21473,  28.71225,       173.23479,       28.71895,     12.64136,      -9.70337,      12.62317,       -9.69800,  4165702.01,   504281.49,  4923651.07,      49.748016,       -2.083943,  103362.92,  209340.94,    2494.79,             2540.57,    -8.35,  61697.22,           62314.43,    -36.71,    -58.16,          67.76,  +1.70,  +0.10
  2,     UK0038,       0,  0.080892, 2459436.639322174713,  12.43565, -10.31357,              173.49534,  28.11855,       173.49763,       28.11932,     12.43565,     -10.31357,      12.43383,      -10.31296,  4164509.42,   503332.27,  4921616.88,      49.745150,       -2.095026,  100971.71,  208343.88,    5036.67,             5082.46,     7.80,  62830.88,           62314.43,     -4.19,     -6.64,           7.77,  +1.72,  +0.13
  3,     UK0038,       0,  0.121360, 2459436.639322642703,  12.25074, -10.93019,              173.74952,  27.51630,       173.75765,       27.51901,     12.25074,     -10.93019,      12.24367,      -10.92798,  4163327.65,   502391.66,  4919601.14,      49.742308,       -2.106016,   98602.28,  207381.94,    7555.51,             7601.30,     0.15,  62242.66,           62314.43,    -14.88,    -23.59,          27.74,  +1.80,  +0.22
  4,     UK0038,       0,  0.161756, 2459436.639323110227,  12.07187, -11.45721,              173.98676,  27.00242,       173.98044,       27.00032,     12.07187,     -11.45721,      12.07837,      -11.45894,  4162315.90,   501586.37,  4917875.40,      49.739871,       -2.115454,   96573.79,  206579.14,    9711.97,             9757.76,  -365.37,  53383.10,           60540.74,     11.56,     18.34,          21.65,  +2.63,  +1.05

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.