Orbital Analysis for matched events on 20210813_004252.390_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 61.96° Bg 68.03° Vg 38.11km/s
mass 0.00788g, abs. mag 1.4
Path Details
------------
start -1.71° 53.81° 91.45km
end   -1.72° 53.78° 84.56km

Orbit Details
-------------
Semimajor axis 3.46A.U., eccentricity 0.71, inclination 66.40°, Period 6.42Y, LA Sun 140.22°, last Perihelion 2021-08-05

Full details below
Click here to download a zip of the raw and processed data.

Detailed report below graphs

Click on an image to see a larger view


Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459439.529773032758
Time: 2021-08-13 00:42:52.390030 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK002Z
 Convergence angle = 85.74598 deg
 R.A. = 340.80131  Dec = +78.68687 deg

Best intersection: Stations UK000Y and UK002Z with Qconv = 85.75 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3338276.71 +/- 13.30 m
 Y =  -1874506.88 +/- 21.50 m
 Z =   5197917.82 +/- 82.29 m
 Vx =     7212.29 +/- 279.47 m/s
 Vy =    -2775.06 +/- 172.13 m/s
 Vz =    38940.50 +/- 504.00 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.093613e+02, +1.641652e+02, +6.205465e+02, +1.897645e+02, +1.385261e+03, -3.830305e+03
+1.641652e+02, +5.259178e+02, +6.586432e+02, -1.566876e+03, +4.563688e+03, -7.619118e+03
+6.205465e+02, +6.586432e+02, +7.849747e+03, -7.129426e+03, +7.964966e+03, -1.640399e+04
+1.897645e+02, -1.566876e+03, -7.129426e+03, +2.887574e+04, -2.423931e+04, +2.924219e+04
+1.385261e+03, +4.563688e+03, +7.964966e+03, -2.423931e+04, +4.618252e+04, -6.711448e+04
-3.830305e+03, -7.619118e+03, -1.640399e+04, +2.924219e+04, -6.711448e+04, +2.540724e+05

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK002Z: -0.001485 s

Reference point on the trajectory:
  Time: 2021-08-13 00:42:52.390030 UTC
  Lon     = +-1.712753 +/- 0.0003 deg
  Lat     = +53.807247 +/- 0.0004 deg
  Lat geo = +53.626260 +/- 0.0004 deg
  Ht      =   91412.32 +/- 66.69 m

  JD dynamic   = 2459439.530573773663 
  LST apparent = 330.6849476416 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 338.95483 +/- 1.1683 deg
  Dec       = +78.77548 +/- 0.3468 deg
  Azimuth   =   3.78020 +/- 0.4572 deg
  Elevation = +64.87002 +/- 0.3640 deg
  Vavg      =  38.12488 +/- 0.3459 km/s
  Vinit     =  39.69988 +/- 0.4669 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 340.99180 +/- 1.1683 deg
  Dec       = +78.71169 +/- 0.3468 deg
  Azimuth   =   4.72580 +/- 0.4572 deg
  Elevation = +64.84297 +/- 0.3640 deg
  Vavg      =  38.13367 +/- 0.3459 km/s
  Vinit     =  39.70868 +/- 0.4669 km/s
Radiant (geocentric, J2000):
  R.A.   = 339.46294 +/- 1.2572 deg
  Dec    = +79.17647 +/- 0.3513 deg
  Vg     =  38.11294 +/- 0.4867 km/s
  Vinf   =  39.69988 +/- 0.4669 km/s
  Zc     =  25.31057 +/- 0.3640 deg
  Zg     =  25.83532 +/- 0.3713 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.96460 +/- 0.9689 deg
  Bg     = +68.02910 +/- 0.2186 deg
  Vh     =  38.65730 +/- 0.4055 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 220.68610 +/- 0.9135 deg
  Bh     = +66.11021 +/- 0.4334 deg
  Vh_x   =  11.87136 +/- 0.1846 km/s
  Vh_y   =  10.20597 +/- 0.2147 km/s
  Vh_z   = -35.34538 +/- 0.4835 km/s
Orbit:
  La Sun = 140.217088 +/- 0.0000 deg
  a      =   3.455786 +/- 0.4241 AU
  e      =   0.708391 +/- 0.0355
  i      =  66.403882 +/- 0.4401 deg
  peri   = 170.726377 +/- 0.9494 deg
  node   = 140.219547 +/- 0.0000 deg
  Pi     = 310.945924 +/- 0.9494 deg
  q      =   1.007740 +/- 0.0011 AU
  f      =   9.269736 +/- 0.9494 deg
  M      =   1.120857 +/- 0.2776 deg
  Q      =   5.903832 +/- 0.8479 AU
  n      =   0.153421 +/- 0.0283 deg/day
  T      =   6.424227 +/- 1.1947 years
  Last perihelion JD = 2459432.224798 (2021-08-05 17:23:42.544460) +/- 0.7693 days
  Tj     =   1.966415 +/- 0.1862
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.561104e-03, +1.485818e-05, +1.788591e-02, -2.305852e-08, +3.242636e-04, +3.091670e-04
q   , +1.485818e-05, +8.854426e-07, +6.491454e-04, -1.974998e-10, +1.376267e-05, +2.655554e-06
Tp  , +1.788591e-02, +6.491454e-04, +5.147245e-01, -2.497740e-07, +1.061682e-02, +3.353677e-03
node, -2.305852e-08, -1.974998e-10, -2.497740e-07, +3.987000e-13, -4.462958e-09, -5.345172e-09
peri, +3.242636e-04, +1.376267e-05, +1.061682e-02, -4.462958e-09, +2.211275e-04, +5.994472e-05
i   , +3.091670e-04, +2.655554e-06, +3.353677e-03, -5.345172e-09, +5.994472e-05, +7.166028e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.388649
 a2 = 35.819439

Mean time residuals from time vs. length:
  Station with reference time: UK000Y
  Avg. res. = 2.527e-06 s
  Stddev    = 1.59e-03 s

Begin point on the trajectory:
  Lon =    -1.712734 +/- 0.0003 deg
  Lat =    53.807419 +/- 0.0004 deg
  Ht  = 91453.74 +/- 52.52 m
End point on the trajectory:
  Lon =    -1.716764 +/- 0.0001 deg
  Lat =    53.778821 +/- 0.0007 deg
  Ht  = 84563.43 +/- 83.04 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.155444,  40.343188,    91453.74,    84563.43,          0.008173,     11.39,     13.00,              16.66, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_004252_041_0395264.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.426543,  36.017589,    90928.45,    85316.16,          0.009787,     20.43,      7.56,              44.89, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_004248_847_0400384.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,     UK000Y,       0,  0.000000, 2459439.529773032758, 141.86866,  84.28212,                1.28890,  47.41079,         1.27494,       47.41139,    141.86866,     +84.28212,     141.96184,      +84.28399,  3338285.02, -1874510.08,  5197962.69,      53.807419,       -1.712734,   91453.74,  123176.63,       0.00,               45.75,   -55.78,      0.00,           40968.21,    -15.30,    -13.43,          34.09,  +1.82,  +1.37
  1,     UK000Y,       0,  0.040212, 2459439.529773497954, 142.63075,  84.04580,                1.22075,  47.16643,         1.24404,       47.16541,    142.63075,     +84.04580,     142.48076,      +84.04282,  3337956.02, -1874383.49,  5196186.36,      53.800620,       -1.713661,   89814.21,  121443.65,    1810.98,             1765.23,    67.28,  45035.70,           40968.21,     25.29,     22.16,          57.11,  +1.50,  +1.08
  2,     UK000Y,       0,  0.080380, 2459439.529773963150, 142.89627,  83.84304,                1.21599,  46.96178,         1.21715,       46.96173,    142.89627,     +83.84304,     142.88936,      +83.84290,  3337690.50, -1874281.33,  5194752.75,      53.795130,       -1.714441,   88491.07,  120046.68,    3272.54,             3226.79,   -65.82,  36386.32,           40968.21,      1.24,      1.09,           2.84,  +1.46,  +1.06
  3,     UK000Y,       0,  0.120588, 2459439.529774428345, 143.38257,  83.60060,                1.17950,  46.71483,         1.18625,       46.71454,    143.38257,     +83.60060,     143.34213,      +83.59979,  3337376.38, -1874160.47,  5193056.78,      53.788633,       -1.715334,   86925.84,  118396.11,    5001.58,             4955.83,    66.97,  43002.34,           40968.21,      7.20,      6.31,          16.69,  +1.39,  +1.02
  4,     UK000Y,       0,  0.160764, 2459439.529774893541, 143.69563,  83.39809,                1.16016,  46.50967,         1.15932,       46.50971,    143.69563,     +83.39809,     143.70127,      +83.39819,  3337122.55, -1874062.80,  5191686.32,      53.783381,       -1.716087,   85661.07,  117063.94,    6398.77,             6353.02,  -130.83,  34776.65,           39781.23,     -0.89,     -0.78,           2.09,  +1.80,  +1.46
  5,     UK000Y,       0,  0.200916, 2459439.529775358271, 143.95629,  83.21835,                1.14337,  46.32775,         1.13457,       46.32814,    143.95629,     +83.21835,     144.00799,      +83.21935,  3336902.26, -1873978.04,  5190496.94,      53.778821,       -1.716764,   84563.43,  115909.00,    7611.35,             7565.60,  -512.28,  30199.73,           38074.63,     -9.26,     -8.12,          21.92,  +4.40,  +4.08
  0,     UK002Z,       0,  0.010722, 2459439.529773171525, 259.88710,  44.25740,              289.24463,  43.78058,       289.24133,       43.78229,    259.88710,     +44.25740,     259.89109,      +44.25661,  3338179.61, -1874469.52,  5197393.58,      53.805241,       -1.713027,   90928.45,  130382.86,       0.00,              534.47,     7.27,      0.00,           39210.35,     -2.32,      6.26,          10.56,  +2.27,  +1.69
  1,     UK002Z,       0,  0.051122, 2459439.529773639049, 259.68898,  43.77909,              288.85164,  43.37067,       288.84046,       43.37647,    259.68898,     +43.77909,     259.70252,      +43.77640,  3337890.87, -1874358.43,  5195834.62,      53.799273,       -1.713862,   89489.57,  129265.39,    1589.36,             2123.83,    -7.24,  39340.60,           39210.35,     -7.82,     21.12,          35.94,  +1.81,  +1.25
  2,     UK002Z,       0,  0.091546, 2459439.529774106573, 259.49637,  43.26689,              288.42696,  42.93953,       288.41982,       42.94323,    259.49637,     +43.26689,     259.50523,      +43.26518,  3337588.96, -1874242.26,  5194204.53,      53.793031,       -1.714727,   87985.10,  128107.24,    3251.24,             3785.70,    49.80,  41111.10,           39210.35,     -4.97,     13.43,          23.06,  +2.16,  +1.62
  3,     UK002Z,       0,  0.131930, 2459439.529774574097, 259.30871,  42.80690,              288.06196,  42.54136,       288.04473,       42.55024,    259.30871,     +42.80690,     259.32964,      +42.80279,  3337320.86, -1874139.10,  5192757.02,      53.787485,       -1.715514,   86649.19,  127089.05,    4726.98,             5261.44,   -77.70,  36542.69,           39210.35,    -11.94,     32.24,          55.80,  +2.12,  +1.60
  4,     UK002Z,       0,  0.172310, 2459439.529775041621, 259.16587,  42.33121,              287.65874,  42.15594,       287.66922,       42.15056,    259.16587,     +42.33121,     259.15426,      +42.33370,  3337053.33, -1874036.17,  5191312.59,      53.781948,       -1.716301,   85316.16,  126082.06,    6199.57,             6734.04,  -208.18,  36468.42,           38459.04,      7.22,    -19.52,          34.04,  +3.76,  +3.26

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.