Orbital Analysis for matched events on 20210810_015226.757_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.87° Bg 46.34° Vg 52.47km/s
mass 0.04443g, abs. mag -1.1
Path Details
------------
start -0.98° 53.53° 103.50km
end   -1.03° 53.50° 94.60km

Orbit Details
-------------
Semimajor axis 4.66A.U., eccentricity 0.80, inclination 98.27°, Period 10.05Y, LA Sun 137.38°, last Perihelion 2021-07-18

Full details below
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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459436.578087473754
Time: 2021-08-10 01:52:26.757732 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 77.15211 deg
 R.A. =  42.13960  Dec = +64.94308 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 77.15 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3744313.06 +/- 42.97 m
 Y =   -940440.23 +/- 97.82 m
 Z =   5189347.53 +/- 112.94 m
 Vx =    16897.76 +/- 434.29 m/s
 Vy =    14639.74 +/- 910.43 m/s
 Vz =    48748.44 +/- 631.74 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.723981e+03, -6.058204e+02, +3.601268e+03, +1.037364e+04, -9.188568e+03, +1.654414e+04
-6.058204e+02, +4.230743e+03, +1.228059e+03, -8.124880e+03, +1.756573e+04, -9.251640e+03
+3.601268e+03, +1.228059e+03, +1.110169e+04, +1.844139e+04, -1.730418e+04, +4.197149e+04
+1.037364e+04, -8.124880e+03, +1.844139e+04, +9.609896e+04, -1.045637e+05, +1.409405e+05
-9.188568e+03, +1.756573e+04, -1.730418e+04, -1.045637e+05, +2.525900e+05, -1.445399e+05
+1.654414e+04, -9.251640e+03, +4.197149e+04, +1.409405e+05, -1.445399e+05, +3.072780e+05

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK002Z: -1.141628 s

Reference point on the trajectory:
  Time: 2021-08-10 01:52:26.757732 UTC
  Lon     = +-0.980700 +/- 0.0014 deg
  Lat     = +53.533817 +/- 0.0006 deg
  Lat geo = +53.352634 +/- 0.0006 deg
  Ht      =  103497.54 +/- 105.97 m

  JD dynamic   = 2459436.578888214659 
  LST apparent = 345.9009529074 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  40.90474 +/- 1.8936 deg
  Dec       = +65.36242 +/- 0.4113 deg
  Azimuth   =  44.46299 +/- 0.7764 deg
  Elevation = +60.82052 +/- 0.8025 deg
  Vavg      =  51.31160 +/- 0.2539 km/s
  Vinit     =  53.63084 +/- 0.5183 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.31428 +/- 1.8936 deg
  Dec       = +65.13831 +/- 0.4113 deg
  Azimuth   =  44.89995 +/- 0.7764 deg
  Elevation = +60.63620 +/- 0.8025 deg
  Vavg      =  51.40839 +/- 0.2539 km/s
  Vinit     =  53.72763 +/- 0.5183 km/s
Radiant (geocentric, J2000):
  R.A.   =  41.24033 +/- 1.9108 deg
  Dec    = +65.25462 +/- 0.4225 deg
  Vg     =  52.46918 +/- 0.5300 km/s
  Vinf   =  53.63084 +/- 0.5183 km/s
  Zc     =  29.30904 +/- 0.8010 deg
  Zg     =  29.63712 +/- 0.8151 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.87405 +/- 0.8127 deg
  Bg     = +46.34342 +/- 0.7079 deg
  Vh     =  39.49274 +/- 0.6405 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 106.95196 +/- 1.5283 deg
  Bh     = +73.99580 +/- 0.9922 deg
  Vh_x   =   3.17475 +/- 0.3784 km/s
  Vh_y   = -10.41535 +/- 0.4738 km/s
  Vh_z   = -37.96206 +/- 0.7629 km/s
Orbit:
  La Sun = 137.384055 +/- -0.0000 deg
  a      =   4.655761 +/- 0.9420 AU
  e      =   0.796150 +/- 0.0505
  i      =  98.266375 +/- 0.4113 deg
  peri   = 148.879508 +/- 3.4608 deg
  node   = 137.384833 +/- 0.0000 deg
  Pi     = 286.264341 +/- 3.4608 deg
  q      =   0.949079 +/- 0.0116 AU
  f      =  31.116965 +/- 3.4608 deg
  M      =   2.234341 +/- 1.3553 deg
  Q      =   8.362443 +/- 1.8736 AU
  n      =   0.098111 +/- 0.0422 deg/day
  T      =  10.045849 +/- 2.9335 years
  Last perihelion JD = 2459413.805308 (2021-07-18 07:19:38.581846) +/- 2.6384 days
  Tj     =   0.953240 +/- 0.2947
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.055787e-03, +3.543005e-04, +9.031546e-02, -4.564635e-09, +1.970783e-03, +7.356861e-05
q   , +3.543005e-04, +8.336598e-05, +1.921877e-02, +8.286574e-10, +4.366436e-04, -1.335383e-05
Tp  , +9.031546e-02, +1.921877e-02, +4.567795e+00, +6.653782e-08, +1.024954e-01, -1.072197e-03
node, -4.564635e-09, +8.286574e-10, +6.653782e-08, +2.122953e-13, +2.676977e-09, -3.421473e-09
peri, +1.970783e-03, +4.366436e-04, +1.024954e-01, +2.676977e-09, +2.311571e-03, -4.313864e-05
i   , +7.356861e-05, -1.335383e-05, -1.072197e-03, -3.421473e-09, -4.313864e-05, +5.514248e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 16.389260
 a2 = 16.876794

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 3.586e-07 s
  Stddev    = 5.99e-04 s

Begin point on the trajectory:
  Lon =    -0.980700 +/- 0.0012 deg
  Lat =    53.533817 +/- 0.0004 deg
  Ht  = 103497.54 +/- 24.71 m
End point on the trajectory:
  Lon =    -1.033164 +/- 0.0008 deg
  Lat =    53.502401 +/- 0.0001 deg
  Ht  = 94599.00 +/- 114.25 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   103497.54,    96374.78,          0.025775,     65.40,     66.75,              39.67, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_015224_697_0483072.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  20.149573,  15.033905,   101974.30,    94599.00,          0.008898,     14.33,      8.49,              46.90, 1.0000,   False,    True, {"ff_name": "FF_UK002Z_20210810_015225_865_0493568.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,     UK001L,       0,  0.000000, 2459436.578087473754, 151.06539,  65.76804,                6.69920,  28.17510,         6.69920,       28.17510,    151.06539,     +65.76804,     151.06539,      +65.76804,  3744313.06,  -940440.23,  5189347.53,      53.533817,       -0.980700,  103497.54,  213251.26,       0.00,                0.00,     0.44,      0.00,           54280.34,     -0.00,     -0.00,           0.00,  +3.04,  +1.40
  1,     UK001L,       0,  0.040304, 2459436.578087940346, 151.62585,  65.49147,                6.49498,  27.86289,         6.50690,       27.85737,    151.62585,     +65.49147,     151.60322,      +65.48425,  3743658.36,  -941007.44,  5187458.79,      53.527422,       -0.991401,  101683.36,  211654.46,    2077.91,             2077.91,   -83.19,  51555.88,           54280.34,     31.39,     30.76,          42.83,  +2.21,  +0.58
  2,     UK001L,       0,  0.080648, 2459436.578088407405, 152.18523,  65.16721,                6.29523,  27.50460,         6.29522,       27.50461,    152.18523,     +65.16721,     152.18559,      +65.16722,  3742943.48,  -941626.80,  5185396.41,      53.520434,       -1.003074,   99702.56,  209920.66,    4346.85,             4346.85,    22.07,  56239.76,           54280.34,     -0.04,     -0.04,           0.06,  +1.43,  -0.18
  3,     UK001L,       0,  0.120992, 2459436.578088873997, 152.67362,  64.83143,                6.12555,  27.14043,         6.08837,       27.15758,    152.67362,     +64.83143,     152.74477,      +64.85348,  3742252.12,  -942225.78,  5183401.91,      53.513670,       -1.014371,   97787.11,  208253.75,    6541.11,             6541.11,    52.65,  54388.87,           54280.34,    -96.62,    -94.90,         134.14,  +1.64,  +0.05
  4,     UK001L,       0,  0.161232, 2459436.578089339659, 153.23559,  64.64259,                5.89151,  26.91745,         5.93365,       26.89796,    153.23559,     +64.64259,     153.15629,      +64.61774,  3741742.32,  -942667.45,  5181931.19,      53.508680,       -1.022747,   96374.78,  207030.66,    8159.12,             8159.12,  -487.44,  40209.03,           51548.66,    109.36,    106.94,         152.39,  +4.03,  +2.45
  0,     UK002Z,       0,  0.033673, 2459436.578087717295, 312.77949,  47.85416,              268.73192,  68.12448,       268.76363,       68.11832,    312.77949,     +47.85416,     312.76326,      +47.86176,  3743763.36,  -940916.48,  5187761.70,      53.528448,       -0.989631,  101974.30,  109717.75,       0.00,             1744.66,   -60.80,      0.00,           50916.12,     13.00,    -21.96,          47.97,  +0.79,  +0.59
  1,     UK002Z,       0,  0.074305, 2459436.578088187613, 312.01307,  47.12947,              267.70201,  67.32386,       267.70200,       67.32387,    312.01307,     +47.12947,     312.01333,      +47.12946,  3743042.05,  -941541.40,  5185680.79,      53.521398,       -1.001408,   99975.67,  108171.16,    2289.33,             4033.99,    49.40,  56343.09,           50916.12,     -0.00,      0.01,           0.01,  +0.55,  +0.38
  2,     UK002Z,       0,  0.114909, 2459436.578088657465, 311.30365,  46.43065,              266.77366,  66.55436,       266.75204,       66.55849,    311.30365,     +46.43065,     311.31559,      +46.42535,  3742371.64,  -942122.23,  5183746.71,      53.514840,       -1.012369,   98118.24,  106758.09,    4417.11,             6161.77,    -0.44,  52403.24,           50916.12,     -9.07,     15.29,          34.34,  +0.67,  +0.53
  3,     UK002Z,       0,  0.155421, 2459436.578089126386, 310.73593,  45.82475,              265.99204,  65.90422,       265.99161,       65.90430,    310.73593,     +45.82475,     310.73676,      +45.82464,  3741816.66,  -942603.05,  5182145.64,      53.509408,       -1.021473,   96580.71,  105607.33,    6178.54,             7923.20,  -411.71,  43479.15,           50916.12,     -0.18,      0.31,           0.70,  +0.93,  +0.81
  4,     UK002Z,       0,  0.196097, 2459436.578089597169, 310.00554,  45.02118,              265.01978,  65.04071,       265.04418,       65.03610,    310.00554,     +45.02118,     309.99288,      +45.02729,  3741101.28,  -943222.83,  5180081.85,      53.502401,       -1.033164,   94599.00,  104148.02,    8449.03,            10193.68,  -322.71,  55818.85,           51205.77,     10.45,    -17.65,          40.62,  +3.10,  +3.01

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.