Orbital Analysis for matched events on 20210813_230356.701_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.96° Bg 43.80° Vg 59.28km/s
mass 0.00739g, abs. mag 0.3
Path Details
------------
start -3.83° 53.28° 110.59km
end   -3.97° 53.16° 96.58km

Orbit Details
-------------
Semimajor axis -4.98A.U., eccentricity 1.19, inclination 106.48°, Period 1000000000.00Y, LA Sun 141.11°, 

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: 2459440.461072931532
Time: 2021-08-13 23:03:56.701284 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK002Z
 Convergence angle = 4.38290 deg
 R.A. =  47.42219  Dec = +58.60913 deg

Best intersection: Stations UK000Y and UK002Z with Qconv = 4.38 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2216369.34 +/- 547.76 m
 Y =  -3194804.06 +/- 769.37 m
 Z =   5177611.49 +/- 647.05 m
 Vx =    18303.35 +/- 4263.85 m/s
 Vy =    19228.02 +/- 5713.13 m/s
 Vz =    54154.16 +/- 3669.05 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.786241e+04, +5.294967e+04, -4.436423e+04, +1.267438e+05, +1.841252e+05, -1.428100e+05
+5.294967e+04, +7.428674e+04, -6.217399e+04, +1.818427e+05, +2.643346e+05, -2.038393e+05
-4.436423e+04, -6.217399e+04, +5.212584e+04, -1.517103e+05, -2.207170e+05, +1.702659e+05
+1.267438e+05, +1.818427e+05, -1.517103e+05, +6.803039e+05, +9.569319e+05, -6.851974e+05
+1.841252e+05, +2.643346e+05, -2.207170e+05, +9.569319e+05, +1.353887e+06, -9.727657e+05
-1.428100e+05, -2.038393e+05, +1.702659e+05, -6.851974e+05, -9.727657e+05, +7.077057e+05

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK002Z: 0.003810 s

Reference point on the trajectory:
  Time: 2021-08-13 23:03:56.701284 UTC
  Lon     = +-3.832916 +/- 0.0131 deg
  Lat     = +53.275361 +/- 0.0012 deg
  Lat geo = +53.093889 +/- 0.0012 deg
  Ht      =  110591.21 +/- 709.87 m

  JD dynamic   = 2459440.461873672437 
  LST apparent = 304.7506646617 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.41132 +/- 3.4184 deg
  Dec       = +63.88559 +/- 6.8779 deg
  Azimuth   =  35.32682 +/- 7.2613 deg
  Elevation = +41.79746 +/- 4.6683 deg
  Vavg      =  58.45886 +/- 0.5096 km/s
  Vinit     =  60.31088 +/- 0.9219 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.28891 +/- 3.4184 deg
  Dec       = +63.64914 +/- 6.8779 deg
  Azimuth   =  35.62053 +/- 7.2613 deg
  Elevation = +41.69348 +/- 4.6683 deg
  Vavg      =  58.58163 +/- 0.5096 km/s
  Vinit     =  60.43365 +/- 0.9219 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.74147 +/- 3.1822 deg
  Dec    = +63.52818 +/- 6.9463 deg
  Vg     =  59.28143 +/- 0.9378 km/s
  Vinf   =  60.31088 +/- 0.9219 km/s
  Zc     =  48.35069 +/- 4.6568 deg
  Zg     =  48.79348 +/- 4.7044 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.95991 +/- 3.1857 deg
  Bg     = +43.80250 +/- 6.7007 deg
  Vh     =  43.92668 +/- 3.6999 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  90.37439 +/- 18.9617 deg
  Bh     = +69.08858 +/- 5.6012 deg
  Vh_x   =   0.10245 +/- 3.9620 km/s
  Vh_y   = -15.67816 +/- 3.7678 km/s
  Vh_z   = -41.03337 +/- 4.8800 km/s
Orbit:
  La Sun = 141.111428 +/- nan deg
  a      =  -4.979257 +/- 15.5450 AU
  e      =   1.193919 +/- 0.3837
  i      = 106.479823 +/- 8.2487 deg
  peri   = 156.041413 +/- 2.7565 deg
  node   = 141.110587 +/- 0.0006 deg
  Pi     = 297.151999 +/- 2.7571 deg
  q      =   0.965571 +/- 0.0056 AU
  f      =  23.954686 +/- 2.7564 deg
  M      =        nan +/- nan deg
  Q      = -10.924085 +/- 31.0919 AU
  n      =   0.088707 +/- 0.4189 deg/day
  T      = 1000000000.000000 +/- 427919722.9083 years
  Last perihelion JD = NaN 
  Tj     =  -1.407164 +/- 1.8915
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.276076e-03, +8.332625e-05, +5.130083e-02, +1.756863e-07, +8.609408e-04, -2.155014e-03
q   , +8.332625e-05, +2.431444e-06, +1.341196e-03, +4.228544e-09, +2.307625e-05, -5.207114e-05
Tp  , +5.130083e-02, +1.341196e-03, +8.090257e-01, +2.723367e-06, +1.364041e-02, -3.339780e-02
node, +1.756863e-07, +4.228544e-09, +2.723367e-06, +9.648095e-12, +4.526670e-08, -1.182065e-07
peri, +8.609408e-04, +2.307625e-05, +1.364041e-02, +4.526670e-08, +2.310167e-04, -5.555574e-04
i   , -2.155014e-03, -5.207114e-05, -3.339780e-02, -1.182065e-07, -5.555574e-04, +1.449060e-03

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: UK000Y
  Avg. res. = 3.840e-06 s
  Stddev    = 1.96e-03 s

Begin point on the trajectory:
  Lon =    -3.832880 +/- 0.0131 deg
  Lat =    53.275391 +/- 0.0012 deg
  Ht  = 110594.96 +/- 710.46 m
End point on the trajectory:
  Lon =    -3.968036 +/- 0.0199 deg
  Lat =    53.161993 +/- 0.0006 deg
  Ht  = 96583.77 +/- 888.15 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   110594.96,    96583.77,          0.004824,      0.95,     15.05,              83.99, 1.0000,    True,   False, {"ff_name": "FF_UK000Y_20210813_230356_345_0250624.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   108413.97,   100526.28,          0.018586,     11.58,     83.56,             102.23, 1.0000,    True,   False, {"ff_name": "FF_UK002Z_20210813_230349_446_0255488.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,     UK000Y,       0,  0.000000, 2459440.461072931532, 234.44398,  34.46214,              280.15041,  37.02259,       280.15055,       37.02248,    234.44398,     +34.46214,     234.44380,      +34.46215,  2216371.04, -3194802.27,  5177616.54,      53.275391,       -3.832880,  110594.96,  180641.34,       0.00,                5.63,   386.77,      0.00,           58860.50,      0.48,     -0.03,           0.55,  +3.11,  +1.83
  1,     UK000Y,       0,  0.040188, 2459440.461073396727, 234.39417,  33.76145,              279.56102,  36.50324,       279.56426,       36.50090,    234.39417,     +33.76145,     234.39013,      +33.76167,  2215695.01, -3195512.45,  5175616.37,      53.263421,       -3.847197,  109110.46,  180332.38,    2227.57,             2221.94,   179.31,  55428.66,           58860.50,     11.00,     -0.70,          12.60,  +1.55,  +0.27
  2,     UK000Y,       1,  0.080364, 2459440.461073861457, 234.36868,  33.03281,              278.93787,  35.97526,       278.96397,       35.95652,    234.36868,     +33.03281,     234.33539,      +33.03454,  2214995.56, -3196247.24,  5173546.88,      53.251029,       -3.862003,  107574.95,  180040.97,    4532.34,             4526.71,    61.03,  57366.80,           58860.50,     88.55,     -5.66,         101.65,  +1.16,  -0.12
  3,     UK000Y,       0,  0.120616, 2459440.461074327584, 234.27312,  32.21594,              278.29893,  35.33946,       278.29787,       35.34021,    234.27312,     +32.21594,     234.27497,      +32.21587,  2214210.42, -3197072.04,  5171223.90,      53.237109,       -3.878600,  105851.89,  179747.56,    7119.41,             7113.79,   220.48,  64272.01,           58860.50,     -3.58,      0.23,           4.12,  +1.19,  -0.08
  4,     UK000Y,       0,  0.160800, 2459440.461074792780, 234.23156,  31.53387,              277.74571,  34.82806,       277.75117,       34.82418,    234.23156,     +31.53387,     234.22529,      +31.53423,  2213558.84, -3197756.54,  5169296.07,      53.225550,       -3.892401,  104422.35,  179533.65,    9266.41,             9260.79,   -56.06,  53429.27,           58266.68,     18.52,     -1.18,          21.32,  +0.69,  -0.58
  5,     UK000Y,       0,  0.201016, 2459440.461075257976, 234.17559,  30.76408,              277.13690,  34.24209,       277.14183,       34.23861,    234.17559,     +30.76408,     234.17020,      +30.76440,  2212824.52, -3198527.96,  5167123.42,      53.212515,       -3.907932,  102811.73,  179322.04,   11686.07,            11680.44,   -61.86,  60166.50,           58368.51,     16.75,     -1.06,          19.30,  +0.50,  -0.77
  6,     UK000Y,       0,  0.241248, 2459440.461075723637, 234.11931,  29.94368,              276.49557,  33.61579,       276.50178,       33.61143,    234.11931,     +29.94368,     234.11253,      +29.94408,  2212043.71, -3199348.22,  5164813.24,      53.198645,       -3.924433,  101099.70,  179132.18,   14258.89,            14253.27,    84.53,  63949.64,           59003.30,     21.09,     -1.34,          24.33,  +0.47,  -0.80
  7,     UK000Y,       0,  0.281476, 2459440.461076189298, 234.05829,  29.16977,              275.90577,  33.01676,       275.90623,       33.01644,    234.05829,     +29.16977,     234.05889,      +29.16980,  2211308.21, -3200120.87,  5162637.12,      53.185572,       -3.939985,   99487.53,  178987.65,   16682.41,            16676.78,    81.86,  60244.53,           59371.22,      1.55,     -0.10,           1.79,  +0.44,  -0.82
  8,     UK000Y,       0,  0.321696, 2459440.461076654959, 234.00809,  28.41799,              275.33423,  32.43715,       275.33574,       32.43610,    234.00809,     +28.41799,     234.00756,      +28.41808,  2210595.21, -3200869.89,  5160527.58,      53.172890,       -3.955064,   97925.14,  178879.18,   19031.78,            19026.16,     5.54,  58413.11,           59478.98,      5.13,     -0.32,           5.93,  +0.63,  -0.63
  9,     UK000Y,       0,  0.361892, 2459440.461077120155, 233.95203,  27.77219,              274.85949,  31.92915,       274.85116,       31.93493,    233.95203,     +27.77219,     233.96385,      +27.77166,  2209982.92, -3201513.11,  5158715.99,      53.161993,       -3.968036,   96583.77,  178812.04,   21049.33,            21043.70,  -401.17,  50192.72,           59027.53,    -28.44,      1.79,          32.87,  +0.78,  -0.48
  0,     UK002Z,       0,  0.053923, 2459440.461073510814, 237.56157,  15.30153,              263.70801,  23.72039,       263.70922,       23.71967,    237.56157,     +15.30153,     237.56041,      +15.30164,  2215377.77, -3195845.72,  5174677.74,      53.257802,       -3.853878,  108413.97,  258714.19,       0.00,             3267.28,   396.25,      0.00,           56723.06,      5.89,     -0.81,           4.74,  +3.51,  +1.45
  1,     UK002Z,       0,  0.094219, 2459440.461073976941, 237.54196,  14.83129,              263.41068,  23.33676,       263.43273,       23.32378,    237.54196,     +14.83129,     237.51756,      +14.83337,  2214722.86, -3196533.72,  5172740.06,      53.246195,       -3.867751,  106976.43,  259120.59,    2157.98,             5425.26,   123.94,  53553.22,           56723.06,    107.74,    -14.93,          86.58,  +4.80,  +2.73
  2,     UK002Z,       0,  0.134543, 2459440.461074444000, 237.48571,  14.34049,              263.13213,  22.91460,       263.14411,       22.90755,    237.48571,     +14.34049,     237.47279,      +14.34162,  2214032.81, -3197258.63,  5170698.41,      53.233959,       -3.882359,  105462.18,  259567.09,    4431.74,             7699.02,   -34.27,  56387.29,           56723.06,     58.76,     -8.13,          47.14,  +2.90,  +0.83
  3,     UK002Z,       0,  0.174879, 2459440.461074910592, 237.44021,  13.81591,              262.82434,  22.47131,       262.83822,       22.46316,    237.44021,     +13.81591,     237.42532,      +13.81722,  2213294.22, -3198034.53,  5168513.13,      53.220854,       -3.897980,  103841.89,  260065.52,    6865.46,            10132.74,   -33.25,  60336.21,           56723.06,     68.36,     -9.46,          54.74,  +2.00,  -0.08
  4,     UK002Z,       0,  0.215215, 2459440.461075377651, 237.40912,  13.28055,              262.49961,  22.02725,       262.52879,       22.01013,    237.40912,     +13.28055,     237.37723,      +13.28330,  2212539.24, -3198827.65,  5166279.37,      53.207449,       -3.913943,  102186.16,  260597.40,    9353.17,            12620.45,    21.76,  61674.63,           58064.00,    144.22,    -20.00,         115.24,  +1.78,  -0.30
  5,     UK002Z,       0,  0.255579, 2459440.461075844709, 237.32013,  12.75080,              262.22907,  21.55285,       262.22174,       21.55715,    237.32013,     +12.75080,     237.32942,      +12.75011,  2211782.13, -3199623.01,  5164039.31,      53.193997,       -3.929948,  100526.28,  261153.54,   11847.90,            15115.18,    82.10,  61805.86,           58982.11,    -36.42,      5.02,          29.04,  +1.56,  -0.52

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.