Orbital Analysis for matched events on 20210816_023610.951_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.62° Bg 37.04° Vg 54.40km/s
mass 0.16735g, abs. mag -2.5
Path Details
------------
start 1.10° 54.25° 102.96km
end   1.01° 54.23° 88.73km

Orbit Details
-------------
Semimajor axis 1.94A.U., eccentricity 0.50, inclination 112.46°, Period 2.69Y, LA Sun 143.17°, last Perihelion 2021-07-23

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: 2459442.608460082207
Time: 2021-08-16 02:36:10.951103 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK003A
 Convergence angle = 16.64186 deg
 R.A. =  49.31115  Dec = +57.29536 deg

Best intersection: Stations UK002F and UK003A with Qconv = 16.64 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3780730.48 +/- 245.71 m
 Y =    321401.52 +/- 231.75 m
 Z =   5236845.27 +/- 327.75 m
 Vx =    21003.13 +/- 2388.50 m/s
 Vy =    22385.09 +/- 1301.91 m/s
 Vz =    46265.78 +/- 1792.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.417796e+04, -5.715849e+04, -8.032123e+04, +2.966846e+05, -2.942751e+05, -4.255395e+05
-5.715849e+04, +5.666555e+04, +7.708675e+04, -2.607066e+05, +2.747430e+05, +3.840461e+05
-8.032123e+04, +7.708675e+04, +1.138375e+05, -3.728914e+05, +3.713204e+05, +5.515843e+05
+2.966846e+05, -2.607066e+05, -3.728914e+05, +1.617377e+06, -1.606699e+06, -2.277454e+06
-2.942751e+05, +2.747430e+05, +3.713204e+05, -1.606699e+06, +1.697310e+06, +2.298872e+06
-4.255395e+05, +3.840461e+05, +5.515843e+05, -2.277454e+06, +2.298872e+06, +3.283139e+06

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK003A: -0.000201 s

Reference point on the trajectory:
  Time: 2021-08-16 02:36:10.951103 UTC
  Lon     = ++1.099536 +/- 0.0038 deg
  Lat     = +54.254472 +/- 0.0033 deg
  Lat geo = +54.074714 +/- 0.0033 deg
  Ht      =  102841.27 +/- 149.84 m

  JD dynamic   = 2459442.609260823112 
  LST apparent = 4.8590561975 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.82431 +/- 3.2863 deg
  Dec       = +56.43717 +/- 1.0363 deg
  Azimuth   =  67.49608 +/- 3.6433 deg
  Elevation = +66.41241 +/- 1.5702 deg
  Vavg      =  55.10217 +/- 1.4884 km/s
  Vinit     =  55.52248 +/- 1.4767 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.20602 +/- 3.2863 deg
  Dec       = +56.27778 +/- 1.0363 deg
  Azimuth   =  67.76608 +/- 3.6433 deg
  Elevation = +66.17088 +/- 1.5702 deg
  Vavg      =  55.20505 +/- 1.4884 km/s
  Vinit     =  55.62536 +/- 1.4767 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.84733 +/- 3.2930 deg
  Dec    = +56.30305 +/- 1.0431 deg
  Vg     =  54.40107 +/- 1.5079 km/s
  Vinf   =  55.52248 +/- 1.4767 km/s
  Zc     =  23.65694 +/- 1.5804 deg
  Zg     =  23.90177 +/- 1.5845 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.61676 +/- 2.6058 deg
  Bg     = +37.03848 +/- 0.3992 deg
  Vh     =  35.96942 +/- 1.6247 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  77.21408 +/- 6.8109 deg
  Bh     = +65.64578 +/- 1.4707 deg
  Vh_x   =  -3.28266 +/- 1.1931 km/s
  Vh_y   = -14.46515 +/- 1.8637 km/s
  Vh_z   = -32.76862 +/- 1.1460 km/s
Orbit:
  La Sun = 143.174442 +/- 0.0000 deg
  a      =   1.935711 +/- 0.5008 AU
  e      =   0.499182 +/- 0.1361
  i      = 112.460009 +/- 0.6039 deg
  peri   = 150.671106 +/- 4.8324 deg
  node   = 143.174678 +/- 0.0000 deg
  Pi     = 293.845784 +/- 4.8324 deg
  q      =   0.969439 +/- 0.0172 AU
  f      =  29.325401 +/- 4.8323 deg
  M      =   8.742006 +/- 2.0411 deg
  Q      =   2.901982 +/- 1.0173 AU
  n      =   0.365969 +/- 0.1424 deg/day
  T      =   2.693154 +/- 1.1005 years
  Last perihelion JD = 2459418.721928 (2021-07-23 05:19:34.566163) +/- 2.9085 days
  Tj     =   2.284776 +/- 0.6978
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.956500e-02, -2.424341e-03, -3.637663e-01, -7.794129e-08, -1.140976e-02, +1.188079e-03
q   , -2.424341e-03, +3.124987e-04, +4.852408e-02, +1.023772e-08, +1.492374e-03, -1.560034e-04
Tp  , -3.637663e-01, +4.852408e-02, +9.054386e+00, +1.487371e-06, +2.577191e-01, -2.267032e-02
node, -7.794129e-08, +1.023772e-08, +1.487371e-06, +5.078001e-13, +4.698924e-08, -7.730139e-09
peri, -1.140976e-02, +1.492374e-03, +2.577191e-01, +4.698924e-08, +7.575084e-03, -7.161571e-04
i   , +1.188079e-03, -1.560034e-04, -2.267032e-02, -7.730139e-09, -7.161571e-04, +1.176757e-04

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: UK002F
  Avg. res. = 7.946e-06 s
  Stddev    = 2.82e-03 s

Begin point on the trajectory:
  Lon =     1.100269 +/- 0.0039 deg
  Lat =    54.254650 +/- 0.0033 deg
  Ht  = 102961.57 +/- 155.39 m
End point on the trajectory:
  Lon =     1.012264 +/- 0.0028 deg
  Lat =    54.233546 +/- 0.0022 deg
  Ht  = 88732.78 +/- 87.69 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   102961.57,    88732.78,          0.012576,     70.74,      9.42,              52.32, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210816_023602_080_0581632.fits"}
    UK003A,   False,    -2.395630,    52.113500,   85.00,   0.000000,   0.000000,   101425.77,    89247.04,          0.013608,     81.93,     12.35,              50.32, 1.0000,    True,    True, {"ff_name": "FF_UK003A_20210816_023603_008_0577536.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,     UK002F,       0,  0.000000, 2459442.608460082207, 136.52563,  47.51601,               30.46844,  16.87157,        30.47472,       16.86973,    136.52563,     +47.51601,     136.51901,      +47.51160,  3780780.14,   321454.45,  5236954.65,      54.254650,       +1.100269,  102961.57,  328267.51,       0.00,              131.27,   162.49,      0.00,           56937.05,      4.75,     35.67,          22.61,  +2.11,  -0.47
  1,     UK002F,       0,  0.040232, 2459442.608460547868, 136.87956,  47.29960,               30.35091,  16.56902,        30.37483,       16.56202,    136.87956,     +47.29960,     136.85446,      +47.28284,  3779897.45,   320513.68,  5235010.27,      54.251489,       +1.087072,  100823.15,  326828.60,    2333.41,             2202.14,    -0.43,  57998.83,           56937.05,     18.11,    135.53,          86.30,  +2.74,  +0.17
  2,     UK002F,       0,  0.080476, 2459442.608461013529, 137.17153,  47.05878,               30.28213,  16.26402,        30.27866,       16.26503,    137.17153,     +47.05878,     137.17553,      +47.06120,  3779052.91,   319613.57,  5233149.91,      54.248461,       +1.074432,   98777.25,  325461.39,    4565.98,             4434.71,    -2.30,  55475.98,           56937.05,     -2.61,    -19.58,          12.52,  +1.27,  -1.29
  3,     UK002F,       0,  0.120724, 2459442.608461479656, 137.48645,  46.81193,               30.19983,  15.94633,        30.17794,       15.95272,    137.48645,     +46.81193,     137.51013,      +46.82717,  3778172.54,   318675.28,  5231210.63,      54.245301,       +1.061257,   96644.67,  324046.71,    6893.27,             6762.00,    90.32,  57823.65,           56937.05,    -16.36,   -123.33,          79.19,  +0.84,  -1.71
  4,     UK002F,       0,  0.160940, 2459442.608461944852, 137.82479,  46.61374,               30.07787,  15.66469,        30.08457,       15.66273,    137.82479,     +46.61374,     137.81836,      +46.60909,  3777361.92,   317811.32,  5229425.00,      54.242389,       +1.049106,   94681.16,  322753.09,    9036.16,             8904.89,     0.32,  53284.61,           56247.00,      5.02,     37.64,          24.27,  +0.70,  -1.84
  5,     UK002F,       0,  0.201180, 2459442.608462410513, 138.12449,  46.37682,               29.99689,  15.36037,        29.98835,       15.36286,    138.12449,     +46.37682,     138.13439,      +46.38273,  3776530.59,   316925.29,  5227593.73,      54.239399,       +1.036644,   92667.56,  321436.04,   11233.83,            11102.56,   -36.24,  54613.92,           55816.47,     -6.37,    -47.84,          30.97,  +0.61,  -1.93
  6,     UK002F,       0,  0.241424, 2459442.608462876640, 138.45865,  46.13885,               29.89246,  15.04438,        29.88707,       15.04595,    138.45865,     +46.13885,     138.46537,      +46.14257,  3775659.48,   315996.86,  5225674.85,      54.236262,       +1.023586,   90557.75,  320066.67,   13536.63,            13405.36,    32.11,  57220.95,           55813.20,     -4.01,    -30.09,          19.56,  +0.35,  -2.18
  7,     UK002F,       0,  0.281632, 2459442.608463341836, 138.75337,  45.93424,               29.79628,  14.77035,        29.79877,       14.76963,    138.75337,     +45.93424,     138.75190,      +45.93253,  3774905.94,   315193.74,  5224014.95,      54.233546,       +1.012264,   88732.78,  318890.10,   15528.63,            15397.36,  -208.34,  49542.41,           55289.68,      1.85,     13.87,           9.05,  +1.37,  -1.15
  0,     UK003A,       0,  0.025882, 2459442.608460402116, 122.30514,  39.88339,               43.02524,  15.29495,        43.01065,       15.29771,    122.30514,     +39.88339,     122.31866,      +39.89339,  3780146.20,   320778.80,  5235558.22,      54.252380,       +1.090797,  101425.77,  350633.90,       0.00,             1544.56,   138.72,      0.00,           53910.78,     13.15,    -86.81,          51.65,  +3.67,  +0.95
  1,     UK003A,       0,  0.066078, 2459442.608460867312, 122.58380,  39.72529,               42.92852,  15.04573,        42.95695,       15.04034,    122.58380,     +39.72529,     122.55794,      +39.70583,  3779357.22,   319937.90,  5233820.24,      54.249552,       +1.078980,   99514.42,  349293.72,    2085.71,             3630.27,    -7.35,  51888.52,           53910.78,    -25.38,    168.70,         100.74,  +1.24,  -1.48
  2,     UK003A,       0,  0.106338, 2459442.608461332973, 122.81876,  39.48188,               42.90790,  14.74303,        42.89576,       14.74533,    122.81876,     +39.48188,     122.83038,      +39.49016,  3778460.42,   318982.10,  5231844.77,      54.246335,       +1.065564,   97342.01,  347780.43,    4456.42,             6000.98,   128.02,  58884.95,           53910.78,     10.86,    -71.78,          43.06,  +0.91,  -1.80
  3,     UK003A,       0,  0.146530, 2459442.608461798169, 123.06793,  39.31543,               42.83350,  14.49891,        42.84414,       14.49690,    123.06793,     +39.31543,     123.05875,      +39.30818,  3777711.05,   318183.42,  5230194.06,      54.243643,       +1.054321,   95526.82,  346522.09,    6437.40,             7981.96,  -122.56,  49287.94,           53910.78,     -9.46,     62.73,          37.76,  +1.01,  -1.69
  4,     UK003A,       0,  0.186746, 2459442.608462263830, 123.29634,  39.12023,               42.78814,  14.23913,        42.79064,       14.23865,    123.29634,     +39.12023,     123.29483,      +39.11853,  3776937.87,   317359.36,  5228490.88,      54.240864,       +1.042721,   93654.01,  345231.14,    8481.35,            10025.91,  -311.50,  50824.24,           52997.46,     -2.22,     14.70,           8.88,  +0.06,  -2.63
  5,     UK003A,       0,  0.227030, 2459442.608462729957, 123.60101,  38.86180,               42.72502,  13.89400,        42.72007,       13.89493,    123.60101,     +38.86180,     123.60653,      +38.86515,  3775918.04,   316272.44,  5226244.41,      54.237194,       +1.027466,   91183.98,  343542.08,   11177.28,            12721.84,   147.76,  66923.14,           54729.24,      4.38,    -28.98,          17.60,  +0.10,  -2.58
  6,     UK003A,       0,  0.267254, 2459442.608463195618, 123.84610,  38.66097,               42.66909,  13.62214,        42.66411,       13.62308,    123.84610,     +38.66097,     123.85182,      +38.66434,  3775118.29,   315420.06,  5224482.70,      54.234312,       +1.015460,   89247.04,  342224.93,   13291.47,            14836.03,    28.61,  52560.42,           55114.94,      4.40,    -29.11,          17.74,  +0.12,  -2.55

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.