Orbital Analysis for matched events on 20210810_021609.531_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.09° Bg 48.71° Vg 52.27km/s
mass 0.06340g, abs. mag -1.5
Path Details
------------
start -2.81° 51.00° 93.87km
end   -2.85° 50.96° 85.16km

Orbit Details
-------------
Semimajor axis 12.71A.U., eccentricity 0.93, inclination 94.48°, Period 45.33Y, LA Sun 137.40°, last Perihelion 2021-07-17

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: 2459436.594554760028
Time: 2021-08-10 02:16:09.571862 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000H
 Convergence angle = 33.61569 deg
 R.A. =  45.16864  Dec = +68.40883 deg

Best intersection: Stations UK0006 and UK000H with Qconv = 33.62 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4019788.25 +/- 21.32 m
 Y =   -707050.70 +/- 19.70 m
 Z =   5008245.33 +/- 15.19 m
 Vx =    13807.89 +/- 159.23 m/s
 Vy =    13683.24 +/- 180.50 m/s
 Vz =    49771.17 +/- 183.82 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.997361e+02, -4.206209e+02, +1.989806e+02, +1.402593e+03, -2.904079e+03, -2.337443e+03
-4.206209e+02, +4.271789e+02, -9.962405e+01, -1.089879e+03, +2.914079e+03, +2.568675e+03
+1.989806e+02, -9.962405e+01, +2.547683e+02, +6.106652e+02, -1.519759e+03, -1.193266e+03
+1.402593e+03, -1.089879e+03, +6.106652e+02, +8.626498e+03, -1.106137e+04, -3.166197e+03
-2.904079e+03, +2.914079e+03, -1.519759e+03, -1.106137e+04, +3.158450e+04, +2.662589e+04
-2.337443e+03, +2.568675e+03, -1.193266e+03, -3.166197e+03, +2.662589e+04, +3.285786e+04

Timing offsets (from input data):
    UK0006: -0.000126 s
    UK000H: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:16:09.571862 UTC
  Lon     = +-2.802133 +/- 0.0002 deg
  Lat     = +51.007055 +/- 0.0001 deg
  Lat geo = +50.821498 +/- 0.0001 deg
  Ht      =   95426.78 +/- 23.48 m

  JD dynamic   = 2459436.595355970785 
  LST apparent = 350.0241437490 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  44.74023 +/- 0.5053 deg
  Dec       = +68.66564 +/- 0.0304 deg
  Azimuth   =  35.08611 +/- 0.0887 deg
  Elevation = +58.89173 +/- 0.1802 deg
  Vavg      =  50.50618 +/- 0.0440 km/s
  Vinit     =  53.43274 +/- 0.1863 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.24067 +/- 0.5053 deg
  Dec       = +68.42262 +/- 0.0304 deg
  Azimuth   =  35.58845 +/- 0.0887 deg
  Elevation = +58.73394 +/- 0.1802 deg
  Vavg      =  50.59533 +/- 0.0440 km/s
  Vinit     =  53.52189 +/- 0.1863 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.21273 +/- 0.5054 deg
  Dec    = +68.61799 +/- 0.0319 deg
  Vg     =  52.26538 +/- 0.1905 km/s
  Vinf   =  53.43274 +/- 0.1863 km/s
  Zc     =  31.26028 +/- 0.1801 deg
  Zg     =  31.61435 +/- 0.1806 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.09164 +/- 0.2423 deg
  Bg     = +48.71371 +/- 0.0973 deg
  Vh     =  40.99319 +/- 0.1462 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 122.20484 +/- 0.4938 deg
  Bh     = +73.34997 +/- 0.2585 deg
  Vh_x   =   6.25978 +/- 0.0886 km/s
  Vh_y   =  -9.93850 +/- 0.2120 km/s
  Vh_z   = -39.27446 +/- 0.1097 km/s
Orbit:
  La Sun = 137.399854 +/- nan deg
  a      =  12.712771 +/- 1.5389 AU
  e      =   0.926595 +/- 0.0127
  i      =  94.482359 +/- 0.1856 deg
  peri   = 146.589676 +/- 0.3908 deg
  node   = 137.400983 +/- 0.0000 deg
  Pi     = 283.990659 +/- 0.3908 deg
  q      =   0.933178 +/- 0.0019 AU
  f      =  33.406920 +/- 0.3908 deg
  M      =   0.506303 +/- 0.1445 deg
  Q      =  24.492364 +/- 3.0786 AU
  n      =   0.021744 +/- 0.0061 deg/day
  T      =  45.327416 +/- 7.6259 years
  Last perihelion JD = 2459413.310875 (2021-07-17 19:27:39.622568) +/- 0.2431 days
  Tj     =   0.317504 +/- 0.0739
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.876596e-04, -1.210815e-05, +8.217888e-04, -2.781451e-09, -1.397898e-05, +4.671112e-05
q   , -1.210815e-05, +4.045426e-06, +3.874537e-04, +2.084215e-10, +1.343270e-05, -3.499872e-06
Tp  , +8.217888e-04, +3.874537e-04, +6.304721e-02, -8.270228e-09, +1.629882e-03, +1.389305e-04
node, -2.781451e-09, +2.084215e-10, -8.270228e-09, +4.336677e-14, +3.183870e-10, -7.283211e-10
peri, -1.397898e-05, +1.343270e-05, +1.629882e-03, +3.183870e-10, +4.914810e-05, -5.345725e-06
i   , +4.671112e-05, -3.499872e-06, +1.389305e-04, -7.283211e-10, -5.345725e-06, +1.223176e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000016
 a2 = 71.420275

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 4.389e-06 s
  Stddev    = 2.09e-03 s

Begin point on the trajectory:
  Lon =    -2.809717 +/- 0.0002 deg
  Lat =    51.000242 +/- 0.0001 deg
  Ht  = 93869.42 +/- 23.34 m
End point on the trajectory:
  Lon =    -2.853025 +/- 0.0002 deg
  Lat =    50.962057 +/- 0.0001 deg
  Ht  = 85158.45 +/- 21.79 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    92473.12,    85378.88,          0.001061,      3.18,      0.12,              86.23, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20210810_021604_649_0518912.fits"}
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    93869.42,    85158.45,          0.010487,     18.57,     11.31,              56.09, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_021602_126_0535808.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,     UK0006,       1,  0.032031, 2459436.594555132091, 312.97525,   3.92589,              227.40085,  32.37865,       227.37703,       32.38067,    312.97525,      +3.92589,     312.99426,       +3.91853,  4019347.86,  -707487.12,  5006657.90,      51.000672,       -2.809203,   93967.68,  172266.66,       0.00,             1704.22,   465.30,      0.00,           49945.14,      2.30,     60.74,          72.78,  +3.73,  +2.55
  1,     UK0006,       0,  0.072559, 2459436.594555601478, 312.77848,   3.37838,              227.31322,  31.80175,       227.31219,       31.80184,    312.77848,      +3.37838,     312.77961,       +3.37806,  4018896.72,  -707934.18,  5005031.77,      50.994131,       -2.816652,   92473.12,  172190.94,    1745.76,             3449.98,    45.54,  43075.50,           49945.14,      0.10,      2.66,           3.19,  +0.78,  -0.40
  2,     UK0006,       0,  0.113219, 2459436.594556071796, 312.50962,   2.69717,              227.23104,  31.07290,       227.23080,       31.07292,    312.50962,      +2.69717,     312.51029,       +2.69709,  4018328.82,  -708496.96,  5002984.75,      50.985891,       -2.825988,   90591.90,  172118.96,    3943.38,             5647.59,    70.58,  54048.56,           49945.14,      0.02,      0.63,           0.75,  -0.23,  -1.41
  3,     UK0006,       0,  0.153847, 2459436.594556542113, 312.25431,   2.05047,              227.15458,  30.38082,       227.15485,       30.38080,    312.25431,      +2.05047,     312.25473,       +2.05056,  4017790.05,  -709030.87,  5001042.71,      50.978069,       -2.834856,   88807.31,  172077.05,    6028.29,             7732.51,   -15.38,  51317.12,           49945.14,     -0.03,     -0.72,           0.86,  -0.32,  -1.50
  4,     UK0006,       0,  0.194491, 2459436.594557012431, 311.98655,   1.37855,              227.07907,  29.66052,       227.07684,       29.66071,    311.98655,      +1.37855,     311.98918,       +1.37784,  4017229.68,  -709586.18,  4999022.85,      50.969928,       -2.844074,   86951.39,  172060.03,    8196.75,             9900.97,   -18.63,  53352.61,           50901.13,      0.22,      5.86,           7.03,  -0.36,  -1.54
  5,     UK0006,       0,  0.235039, 2459436.594557481818, 311.76374,   0.80740,              227.01098,  29.05035,       227.01208,       29.05025,    311.76374,      +0.80740,     311.76382,       +0.80775,  4016754.85,  -710056.72,  4997311.29,      50.963025,       -2.851912,   85378.88,  172068.18,   10034.23,            11738.44,  -347.75,  45315.97,           50377.65,     -0.11,     -2.89,           3.47,  +0.33,  -0.85
  0,     UK000H,       1,  0.000000, 2459436.594554760028, 293.54301,  44.39018,              283.42303,  51.71009,       283.41648,       51.71294,    293.54301,     +44.39018,     293.54934,      +44.38816,  4019787.89,  -707051.06,  5008244.04,      51.007050,       -2.801969,   95425.59,  120994.95,       0.00,                1.39,   474.00,      0.00,           49056.11,     -5.45,      8.93,          17.84,  +4.72,  +4.31
  1,     UK000H,       0,  0.040596, 2459436.594555229880, 293.14788,  43.72322,              282.74367,  51.12190,       282.75437,       51.11727,    293.14788,     +43.72322,     293.13773,      +43.72652,  4019318.20,  -707516.51,  5006551.00,      51.000242,       -2.809717,   93869.42,  119998.25,    1817.60,             1818.98,   122.44,  44772.80,           49056.11,      8.89,    -14.59,          29.36,  +1.45,  +1.05
  2,     UK000H,       0,  0.081280, 2459436.594555700663, 292.70673,  42.95926,              281.98823,  50.44482,       282.01795,       50.43204,    292.70673,     +42.95926,     292.67845,      +42.96838,  4018790.27,  -708039.68,  5004648.05,      50.992587,       -2.818406,   92120.46,  118900.38,    3860.55,             3861.93,    -8.47,  50215.05,           49056.11,     24.65,    -40.48,          82.22,  +0.63,  +0.25
  3,     UK000H,       0,  0.121992, 2459436.594556171913, 292.20929,  42.16900,              281.26459,  49.70787,       281.26661,       49.70701,    292.20929,     +42.16900,     292.20786,      +42.16961,  4018245.51,  -708579.51,  5002684.46,      50.984682,       -2.827369,   90315.93,  117793.82,    5968.59,             5969.98,   -75.78,  51779.52,           49056.11,      1.67,     -2.75,           5.64,  -0.01,  -0.37
  4,     UK000H,       0,  0.162780, 2459436.594556644093, 291.69598,  41.29709,              280.48068,  48.90430,       280.47014,       48.90878,    291.69598,     +41.29709,     291.70677,      +41.29389,  4017660.92,  -709158.83,  5000577.27,      50.976193,       -2.836977,   88379.63,  116636.64,    8230.81,             8232.19,     7.02,  55462.70,           50652.40,     -8.74,     14.33,          29.68,  -0.32,  -0.65
  5,     UK000H,       0,  0.203572, 2459436.594557116274, 291.21818,  40.41386,              279.69608,  48.10400,       279.69723,       48.10352,    291.21818,     +40.41386,     291.21793,      +40.41420,  4017086.39,  -709728.17,  4998506.34,      50.967845,       -2.846425,   86476.84,  115531.50,   10454.08,            10455.47,    50.67,  54502.78,           51659.02,      0.95,     -1.56,           3.27,  -0.35,  -0.66
  6,     UK000H,       0,  0.244136, 2459436.594557585660, 290.87834,  39.79289,              279.16794,  47.53181,       279.16707,       47.53218,    290.87834,     +39.79289,     290.88019,      +39.79263,  4016688.29,  -710122.68,  4997071.36,      50.962057,       -2.853025,   85158.45,  114787.21,   11994.63,            11996.02,  -576.23,  37978.19,           50557.77,     -0.72,      1.18,           2.49,  +0.46,  +0.16

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.