Orbital Analysis for matched events on 20210813_023847.786_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.37° Bg 38.40° Vg 56.59km/s
mass 0.00858g, abs. mag 0.6
Path Details
------------
start -1.32° 50.91° 108.35km
end   -1.40° 50.87° 97.05km

Orbit Details
-------------
Semimajor axis 4.79A.U., eccentricity 0.81, inclination 110.29°, Period 10.50Y, LA Sun 140.29°, last Perihelion 2021-07-14

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: 2459439.610275303945
Time: 2021-08-13 02:38:47.786261 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK0038
 Convergence angle = 45.28096 deg
 R.A. =  53.69935  Dec = +58.82284 deg

Best intersection: Stations UK0001 and UK0038 with Qconv = 45.28 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4098156.61 +/- 52.08 m
 Y =      9733.00 +/- 38.63 m
 Z =   5011288.29 +/- 82.85 m
 Vx =    17393.56 +/- 283.37 m/s
 Vy =    23902.55 +/- 148.22 m/s
 Vz =    49517.21 +/- 261.70 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.326877e+03, +2.278466e+03, +4.618541e+03, +1.577475e+04, +3.390033e+03, +7.072732e+03
+2.278466e+03, +1.719680e+03, +3.582803e+03, +9.532793e+03, +1.780615e+03, +4.279097e+03
+4.618541e+03, +3.582803e+03, +7.858183e+03, +1.865453e+04, +2.442002e+03, +8.356949e+03
+1.577475e+04, +9.532793e+03, +1.865453e+04, +1.000307e+05, +2.386359e+04, +4.412022e+04
+3.390033e+03, +1.780615e+03, +2.442002e+03, +2.386359e+04, +9.385760e+03, +1.050093e+04
+7.072732e+03, +4.279097e+03, +8.356949e+03, +4.412022e+04, +1.050093e+04, +1.949085e+04

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK0038: -0.000063 s

Reference point on the trajectory:
  Time: 2021-08-13 02:38:47.786261 UTC
  Lon     = +-1.321788 +/- 0.0005 deg
  Lat     = +50.909453 +/- 0.0002 deg
  Lat geo = +50.724134 +/- 0.0002 deg
  Ht      =  108294.68 +/- 94.91 m

  JD dynamic   = 2459439.611076044850 
  LST apparent = 0.1360754619 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.95712 +/- 0.3680 deg
  Dec       = +59.16324 +/- 0.1321 deg
  Azimuth   =  53.46497 +/- 0.3060 deg
  Elevation = +59.00628 +/- 0.1708 deg
  Vavg      =  55.60164 +/- 0.4324 km/s
  Vinit     =  57.66994 +/- 0.2250 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.29627 +/- 0.3680 deg
  Dec       = +58.95746 +/- 0.1321 deg
  Azimuth   =  53.80546 +/- 0.3060 deg
  Elevation = +58.80177 +/- 0.1708 deg
  Vavg      =  55.72593 +/- 0.4324 km/s
  Vinit     =  57.79423 +/- 0.2250 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.09665 +/- 0.3758 deg
  Dec    = +59.04754 +/- 0.1320 deg
  Vg     =  56.59222 +/- 0.2292 km/s
  Vinf   =  57.66994 +/- 0.2250 km/s
  Zc     =  31.10437 +/- 0.1715 deg
  Zg     =  31.40516 +/- 0.1754 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.36545 +/- 0.2821 deg
  Bg     = +38.39873 +/- 0.0790 deg
  Vh     =  39.57352 +/- 0.1279 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  94.64969 +/- 0.9144 deg
  Bh     = +62.65539 +/- 0.1049 deg
  Vh_x   =   1.47355 +/- 0.2868 km/s
  Vh_y   = -18.11793 +/- 0.1251 km/s
  Vh_z   = -35.15157 +/- 0.0962 km/s
Orbit:
  La Sun = 140.294387 +/- nan deg
  a      =   4.793677 +/- 0.3268 AU
  e      =   0.812969 +/- 0.0096
  i      = 110.292185 +/- 0.3401 deg
  peri   = 138.007099 +/- 0.9126 deg
  node   = 140.294763 +/- 0.0000 deg
  Pi     = 278.301862 +/- 0.9125 deg
  q      =   0.896565 +/- 0.0040 AU
  f      =  41.989473 +/- 0.9126 deg
  M      =   2.742668 +/- 0.2557 deg
  Q      =   8.690789 +/- 0.6495 AU
  n      =   0.093908 +/- 0.0074 deg/day
  T      =  10.495516 +/- 1.1344 years
  Last perihelion JD = 2459410.405062 (2021-07-14 21:43:17.319326) +/- 0.6090 days
  Tj     =   0.698016 +/- 0.0678
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.133636e-04, +4.694996e-05, +7.108129e-03, -4.441835e-09, +1.853725e-04, +6.920975e-05
q   , +4.694996e-05, +2.000074e-05, +3.004693e-03, -1.794158e-09, +7.864343e-05, +2.795666e-05
Tp  , +7.108129e-03, +3.004693e-03, +4.523557e-01, -2.734909e-07, +1.182798e-02, +4.261477e-03
node, -4.441835e-09, -1.794158e-09, -2.734909e-07, +1.787436e-13, -7.109564e-09, -2.784892e-09
peri, +1.853725e-04, +7.864343e-05, +1.182798e-02, -7.109564e-09, +3.094158e-04, +1.107805e-04
i   , +6.920975e-05, +2.795666e-05, +4.261477e-03, -2.784892e-09, +1.107805e-04, +4.338995e-05

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: UK0001
  Avg. res. = 9.002e-06 s
  Stddev    = 3.00e-03 s

Begin point on the trajectory:
  Lon =    -1.321445 +/- 0.0005 deg
  Lat =    50.909614 +/- 0.0000 deg
  Ht  = 108345.48 +/- 79.74 m
End point on the trajectory:
  Lon =    -1.398761 +/- 0.0004 deg
  Lat =    50.873813 +/- 0.0000 deg
  Ht  = 97049.81 +/- 86.87 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   108345.48,    97049.81,          0.009757,     17.87,      3.92,              17.10, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210813_023844_772_0583424.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   106411.39,    98646.12,          0.009011,     11.90,     18.21,              39.26, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210813_023845_254_0576512.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,     UK0001,       0,  0.000000, 2459439.610275303945,  26.85735,  50.78561,               79.62244,  72.92809,        79.59317,       72.93828,     26.85735,     +50.78561,      26.84407,      +50.79597,  4098174.48,     9757.56,  5011339.17,      50.909614,       -1.321445,  108345.48,  113218.47,       0.00,               59.26,    56.56,      0.00,           59036.92,     -5.69,    -25.72,          47.99,  +1.96,  +1.69
  1,     UK0001,       0,  0.039784, 2459439.610275764484,  26.40273,  50.57854,               80.50960,  73.17092,        80.51601,       73.16865,     26.40273,     +50.57854,      26.40582,      +50.57627,  4097491.47,     8818.95,  5009394.73,      50.903476,       -1.334713,  106404.30,  111057.36,    2264.58,             2205.32,   -91.72,  56921.77,           59036.92,      1.22,      5.55,          10.55,  +0.85,  +0.62
  2,     UK0001,       0,  0.079568, 2459439.610276225023,  25.94123,  50.34046,               81.52700,  73.41057,        81.52897,       73.40986,     25.94123,     +50.34046,      25.94247,      +50.33976,  4096790.16,     7855.20,  5007398.20,      50.897167,       -1.348337,  104411.32,  108843.02,    4589.83,             4530.57,   -60.81,  58446.89,           59036.92,      0.37,      1.68,           3.27,  +0.71,  +0.53
  3,     UK0001,       0,  0.119316, 2459439.610276685096,  25.42040,  50.08853,               82.64674,  73.68256,        82.68095,       73.66996,     25.42040,     +50.08853,      25.43677,      +50.07639,  4096047.59,     6834.74,  5005284.18,      50.890482,       -1.362757,  102301.28,  106503.94,    7051.91,             6992.65,   109.01,  61942.24,           59036.92,      6.30,     28.78,          57.06,  +0.62,  +0.48
  4,     UK0001,       0,  0.159096, 2459439.610277145170,  24.95581,  49.83845,               83.76106,  73.91754,        83.78774,       73.90747,     24.95581,     +49.83845,      24.96901,      +49.82893,  4095382.95,     5921.39,  5003392.05,      50.884493,       -1.375686,  100412.91,  104415.01,    9255.57,             9196.31,    18.56,  55396.17,           58579.36,      4.86,     22.24,          44.97,  +0.54,  +0.45
  5,     UK0001,       0,  0.198840, 2459439.610277605243,  24.42672,  49.54601,               85.09139,  74.18025,        85.10732,       74.17405,     24.42672,     +49.54601,      24.43516,      +49.54027,  4094646.27,     4909.02,  5001294.79,      50.877849,       -1.390003,   98320.04,  102105.84,   11698.12,            11638.87,   169.08,  61457.19,           58859.44,      2.88,     13.18,          27.26,  +1.27,  +1.22
  6,     UK0001,       0,  0.238676, 2459439.610278066248,  24.09390,  49.36109,               85.95128,  74.34336,        85.95928,       74.34018,     24.09390,     +49.36109,      24.09876,      +49.35819,  4094199.12,     4294.54,  5000021.82,      50.873813,       -1.398761,   97049.81,  100706.15,   13180.68,            13121.43,  -645.70,  37216.63,           56636.46,      1.44,      6.59,          13.82,  +3.55,  +3.53
  0,     UK0038,       0,  0.035132, 2459439.610275377054,  34.24225,  21.27895,              124.47032,  49.38723,       124.45220,       49.37366,     34.24225,     +21.27895,      34.26088,      +21.27416,  4097493.97,     8822.38,  5009401.83,      50.903498,       -1.334525,  106411.39,  139145.36,       0.00,             2197.05,   168.29,      0.00,           56303.44,     36.56,     23.90,          64.75,  +1.32,  +0.60
  1,     UK0038,       0,  0.075572, 2459439.610275845043,  34.08176,  20.70134,              125.14720,  48.98677,       125.14255,       48.98333,     34.08176,     +20.70134,      34.08670,      +20.70012,  4096828.29,     7907.60,  5007506.75,      50.897510,       -1.347468,  104519.67,  137466.32,    2207.10,             4404.15,    43.21,  54577.05,           56303.44,      9.24,      6.03,          16.55,  +0.84,  +0.15
  2,     UK0038,       0,  0.116040, 2459439.610276313499,  33.90113,  20.08885,              125.86707,  48.56398,       125.86578,       48.56304,     33.90113,     +20.08885,      33.90280,      +20.08852,  4096136.68,     6957.18,  5005537.82,      50.891284,       -1.360912,  102554.43,  135738.26,    4500.19,             6697.25,     2.52,  56664.43,           56303.44,      2.51,      1.64,           4.56,  +0.92,  +0.26
  3,     UK0038,       0,  0.156528, 2459439.610276781954,  33.72008,  19.44876,              126.59897,  48.11446,       126.60681,       48.12015,     33.72008,     +19.44876,      33.71270,      +19.45080,  4095433.97,     5991.49,  5003537.28,      50.884953,       -1.374575,  100557.84,  134000.09,    6830.12,             9027.17,    -2.49,  57546.10,           56303.44,    -15.14,     -9.89,          27.83,  +0.82,  +0.18
  4,     UK0038,       0,  0.197000, 2459439.610277250409,  33.52645,  18.82439,              127.32248,  47.68087,       127.32236,       47.68078,     33.52645,     +18.82439,      33.52727,      +18.82435,  4094761.05,     5066.76,  5001621.58,      50.878885,       -1.387670,   98646.12,  132352.57,    9061.23,            11258.28,  -105.40,  55127.23,           56204.50,      0.23,      0.15,           0.43,  +2.64,  +2.03

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.