Orbital Analysis for matched events on 20210810_031006.851_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 35.72° Bg 28.65° Vg 63.96km/s
mass 0.01323g, abs. mag 0.2
Path Details
------------
start -2.21° 50.61° 112.09km
end   -2.27° 50.63° 95.21km

Orbit Details
-------------
Semimajor axis 45.99A.U., eccentricity 0.98, inclination 129.82°, Period 311.85Y, LA Sun 137.44°, last Perihelion 1709-10-23

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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: 2459436.632023745682
Time: 2021-08-10 03:10:06.851627 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0038
 Convergence angle = 65.30226 deg
 R.A. =  21.76443  Dec = +40.13013 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 65.30 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4116135.03 +/- 74.51 m
 Y =    298065.14 +/- 15.19 m
 Z =   4992659.34 +/- 56.91 m
 Vx =    46050.53 +/- 349.27 m/s
 Vy =    18252.01 +/- 329.72 m/s
 Vz =    41958.90 +/- 289.41 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.283457e+02, -1.978106e+02, +4.927394e+02, -8.104704e+01, +2.953626e+02, -8.869994e+01
-1.978106e+02, +1.139667e+02, -1.380472e+02, -2.374840e+02, -1.746095e+02, +2.215782e+02
+4.927394e+02, -1.380472e+02, +4.658541e+02, +2.632755e+02, +1.334833e+02, +8.203280e+01
-8.104704e+01, -2.374840e+02, +2.632755e+02, +3.666960e+03, -2.171421e+01, -4.826851e+02
+2.953626e+02, -1.746095e+02, +1.334833e+02, -2.171421e+01, +3.363610e+02, -4.319791e+02
-8.869994e+01, +2.215782e+02, +8.203280e+01, -4.826851e+02, -4.319791e+02, +8.420202e+02

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0038: 0.000374 s

Reference point on the trajectory:
  Time: 2021-08-10 03:10:06.851627 UTC
  Lon     = +-2.210094 +/- 0.0003 deg
  Lat     = +50.608598 +/- 0.0002 deg
  Lat geo = +50.422996 +/- 0.0002 deg
  Ht      =  112048.25 +/- 89.21 m

  JD dynamic   = 2459436.632824486587 
  LST apparent = 4.1417779831 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  21.62078 +/- 0.2924 deg
  Dec       = +40.26604 +/- 0.0834 deg
  Azimuth   = 123.60569 +/- 0.6457 deg
  Elevation = +74.02732 +/- 0.1610 deg
  Vavg      =  62.01244 +/- 0.3083 km/s
  Vinit     =  64.91792 +/- 0.3362 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  21.95218 +/- 0.2924 deg
  Dec       = +40.21406 +/- 0.0834 deg
  Azimuth   = 123.07887 +/- 0.6457 deg
  Elevation = +73.81423 +/- 0.1610 deg
  Vavg      =  62.08207 +/- 0.3083 km/s
  Vinit     =  64.98755 +/- 0.3362 km/s
Radiant (geocentric, J2000):
  R.A.   =  21.41505 +/- 0.2947 deg
  Dec    = +40.06958 +/- 0.0838 deg
  Vg     =  63.96302 +/- 0.3412 km/s
  Vinf   =  64.91792 +/- 0.3362 km/s
  Zc     =  15.87068 +/- 0.1623 deg
  Zg     =  15.98903 +/- 0.1644 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  35.72479 +/- 0.2386 deg
  Bg     = +28.65073 +/- 0.1188 deg
  Vh     =  41.60469 +/- 0.3789 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  22.88925 +/- 0.3557 deg
  Bh     = +47.49019 +/- 0.1641 deg
  Vh_x   = -25.89931 +/- 0.3463 km/s
  Vh_y   = -10.93457 +/- 0.0859 km/s
  Vh_z   = -30.66938 +/- 0.2496 km/s
Orbit:
  La Sun = 137.435802 +/- nan deg
  a      =  45.986155 +/- 57.8999 AU
  e      =   0.979712 +/- 0.0335
  i      = 129.821689 +/- 0.1544 deg
  peri   = 212.956014 +/- 0.1831 deg
  node   = 137.434777 +/- 0.0000 deg
  Pi     = 350.390792 +/- 0.1831 deg
  q      =   0.932977 +/- 0.0012 AU
  f      = 327.039772 +/- 0.1831 deg
  M      = 359.928387 +/- nan deg
  Q      =  91.039333 +/- 115.7996 AU
  n      =   0.003161 +/- 0.0072 deg/day
  T      = 311.846791 +/- 442216462.1090 years
  Last perihelion JD = 2345555.266385 (1709-10-23 18:23:35.700871) +/- 35957.1391 days
  Tj     =  -0.649854 +/- 0.1933
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.181911e-05, -8.668900e-07, -1.424070e+02, -1.216422e-10, +1.387667e-06, +1.273829e-06
q   , -8.668900e-07, +1.925230e-07, +9.965038e+00, +3.905754e-11, -5.746085e-07, -4.085983e-07
Tp  , -1.424070e+02, +9.965038e+00, +1.718869e+09, +1.312738e-03, -1.495703e+01, -1.374873e+01
node, -1.216422e-10, +3.905754e-11, +1.312738e-03, +9.635836e-15, -1.248746e-10, -1.008002e-10
peri, +1.387667e-06, -5.746085e-07, -1.495703e+01, -1.248746e-10, +1.896813e-06, +1.306176e-06
i   , +1.273829e-06, -4.085983e-07, -1.374873e+01, -1.008002e-10, +1.306176e-06, +1.054468e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.846699
 a2 = 23.789669

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 1.854e-06 s
  Stddev    = 1.36e-03 s

Begin point on the trajectory:
  Lon =    -2.209959 +/- 0.0003 deg
  Lat =    50.608541 +/- 0.0002 deg
  Ht  = 112089.18 +/- 71.49 m
End point on the trajectory:
  Lon =    -2.267171 +/- 0.0003 deg
  Lat =    50.632208 +/- 0.0002 deg
  Ht  = 95213.25 +/- 65.77 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   1.533048,  21.327376,   112089.18,    95213.25,          0.009444,      9.96,     15.54,              28.25, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_031002_042_0616704.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.168645,  30.216709,   110194.05,    95765.70,          0.025805,     53.45,     19.87,              28.45, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_031002_445_0612608.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,     UK000H,       0,  0.000000, 2459436.632023745682, 345.98126,  35.30954,              227.90979,  69.47544,       227.91015,       69.47552,    345.98126,     +35.30954,     345.98102,      +35.30968,  4116165.23,   298077.11,  4992686.86,      50.608541,       -2.209959,  112089.18,  119517.69,       0.00,               42.58,   270.70,      0.00,           63398.98,      0.27,      0.17,           0.55,  +2.89,  +2.50
  1,     UK000H,       0,  0.040340, 2459436.632024212275, 345.32638,  35.11180,              228.82012,  69.00502,       228.80613,       69.00173,    345.32638,     +35.11180,     345.32903,      +35.10620,  4114439.69,   297393.20,  4991114.64,      50.611815,       -2.217870,  109750.59,  117386.87,    2432.51,             2389.93,    -0.74,  60300.09,           63398.98,    -10.35,     -6.63,          21.60,  +1.33,  +0.98
  2,     UK000H,       0,  0.080736, 2459436.632024680264, 344.59315,  34.86639,              229.76912,  68.45495,       229.77909,       68.45727,    344.59315,     +34.86639,     344.59136,      +34.87043,  4112548.41,   296643.60,  4989391.40,      50.615405,       -2.226534,  107187.43,  115064.94,    5098.67,             5056.09,    42.99,  66000.64,           63398.98,      7.34,      4.70,          15.62,  +0.86,  +0.56
  3,     UK000H,       0,  0.121140, 2459436.632025147788, 343.87216,  34.61148,              230.65094,  67.89946,       230.70055,       67.91091,    343.87216,     +34.61148,     343.86249,      +34.63178,  4110742.08,   295927.66,  4987745.56,      50.618836,       -2.234823,  104739.46,  112861.75,    7645.08,             7602.50,   -33.54,  63023.69,           63398.98,     36.31,     23.28,          78.84,  +0.72,  +0.46
  4,     UK000H,       0,  0.161544, 2459436.632025615312, 343.10802,  34.36812,              231.59764,  67.32855,       231.61978,       67.33362,    343.10802,     +34.36812,     343.10392,      +34.37729,  4108923.23,   295206.76,  4986088.32,      50.622293,       -2.243176,  102274.60,  110658.28,   10209.12,            10166.54,   -92.44,  63460.16,           63460.37,     16.14,     10.35,          35.73,  +0.36,  +0.14
  5,     UK000H,       0,  0.201992, 2459436.632026083302, 342.27264,  34.08859,              232.57815,  66.68938,       232.58380,       66.69066,    342.27264,     +34.08859,     342.27210,      +34.09096,  4106995.30,   294442.64,  4984331.69,      50.625960,       -2.252028,   99661.98,  108339.89,   12926.94,            12884.36,    -0.42,  67192.93,           64011.95,      4.10,      2.63,           9.26,  +0.35,  +0.18
  6,     UK000H,       0,  0.242392, 2459436.632026551291, 341.55532,  33.83442,              233.37294,  66.12600,       233.38130,       66.12788,    341.55532,     +33.83442,     341.55431,      +33.83798,  4105387.79,   293805.50,  4982867.01,      50.629019,       -2.259443,   97483.60,  106421.98,   15193.08,            15150.50,  -356.97,  56092.44,           63360.20,      6.05,      3.88,          13.93,  +0.94,  +0.80
  7,     UK000H,       0,  0.282816, 2459436.632027018815, 340.77866,  33.56689,              234.22040,  65.51886,       234.20410,       65.51521,    340.77866,     +33.56689,     340.78337,      +33.55987,  4103712.36,   293141.45,  4981340.44,      50.632208,       -2.267171,   95213.25,  104437.85,   17554.94,            17512.36,  -619.35,  58427.24,           62677.39,    -11.78,     -7.55,          27.64,  +2.38,  +2.29
  0,     UK0038,       0,  0.032502, 2459436.632024231367,   8.95785,  13.51667,              172.12261,  51.94137,       172.13514,       51.94501,      8.95785,     +13.51667,       8.94961,      +13.51962,  4114766.90,   297522.89,  4991412.78,      50.611194,       -2.216408,  110194.05,  139008.62,       0.00,             1928.66,    46.81,      0.00,           64837.24,      7.23,    -19.42,          30.75,  +1.93,  +1.21
  1,     UK0038,       0,  0.072854, 2459436.632024698425,   8.75549,  13.02453,              172.50740,  51.46794,       172.50510,       51.46728,      8.75549,     +13.02453,       8.75718,      +13.02399,  4112920.28,   296790.98,  4989730.23,      50.614699,       -2.224869,  107691.40,  136735.81,    2603.21,             4531.87,    30.45,  64512.49,           64837.24,     -1.32,      3.53,           5.68,  +1.14,  +0.46
  2,     UK0038,       0,  0.113202, 2459436.632025165483,   8.57175,  12.53689,              172.85614,  50.99654,       172.86073,       50.99787,      8.57175,     +12.53689,       8.56902,      +12.53798,  4111167.56,   296096.30,  4988133.24,      50.618028,       -2.232916,  105316.07,  134589.70,    5074.03,             7002.69,  -118.03,  61237.84,           64837.24,      2.61,     -7.00,          11.45,  +0.70,  +0.05
  3,     UK0038,       0,  0.153618, 2459436.632025633007,   8.34896,  11.96185,              173.26907,  50.44002,       173.27138,       50.44069,      8.34896,     +11.96185,       8.34792,      +11.96241,  4109162.10,   295301.44,  4986305.97,      50.621839,       -2.242107,  102598.30,  132148.28,    7901.15,             9829.81,    85.37,  69950.47,           64837.24,      1.30,     -3.49,           5.82,  +0.60,  -0.01
  4,     UK0038,       0,  0.194010, 2459436.632026100531,   8.15341,  11.42201,              173.62862,  49.91554,       173.64604,       49.92056,      8.15341,     +11.42201,       8.14231,      +11.42623,  4107358.55,   294586.61,  4984662.66,      50.625269,       -2.250398,  100154.22,  129966.02,   10443.63,            12372.29,     5.68,  62945.18,           64850.51,      9.74,    -26.11,          44.22,  +0.41,  -0.16
  5,     UK0038,       0,  0.234386, 2459436.632026568055,   7.96408,  10.90537,              173.96979,  49.41288,       173.99815,       49.42103,      7.96408,     +10.90537,       7.94563,      +10.91227,  4105685.07,   293923.33,  4983137.87,      50.628453,       -2.258109,   97886.45,  127953.06,   12802.76,            14731.42,  -256.32,  58428.92,           63936.95,     15.73,    -42.20,          72.60,  +0.69,  +0.15
  6,     UK0038,       0,  0.274766, 2459436.632027035579,   7.81587,  10.39511,              174.24297,  48.91321,       174.33138,       48.93853,      7.81587,     +10.39511,       7.75632,      +10.41671,  4104120.06,   293303.04,  4981711.92,      50.631432,       -2.265337,   95765.70,  126081.48,   15008.97,            16937.63,  -671.49,  54636.19,           62614.22,     48.58,   -130.71,         228.13,  +2.13,  +1.63

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.