Uranus

Class to model Uranus planet.

pymeeus.Uranus.ORBITAL_ELEM = [[314.055005, 429.8640561, 0.0003039, 2.6e-08], [19.218446062, -3.72e-08, 9.8e-10, 0.0], [0.04638122, -2.7293e-05, 7.89e-08, 2.4e-10], [0.773197, 0.0007744, 3.749e-05, -9.2e-08], [74.005957, 0.5211278, 0.00133947, 1.8484e-05], [173.005291, 1.486379, 0.00021406, 4.34e-07]]

This table contains the parameters to compute Uranus’s orbital elements for the mean equinox of date. Based in Table 31.A, page 213

pymeeus.Uranus.ORBITAL_ELEM_J2000 = [[314.055005, 428.4669983, -4.86e-06, 6e-09], [0.773197, -0.0016869, 3.49e-06, 1.6e-08], [74.005957, 0.0741431, 0.00040539, 1.19e-07], [173.005291, 0.0893212, -9.47e-05, 4.14e-07]]

This table contains the parameters to compute Uranus’s orbital elements for the standard equinox J2000.0. Based on Table 31.B, page 215

class pymeeus.Uranus.Uranus[source]

Class Uranus models that planet.

__weakref__

list of weak references to the object (if defined)

static apparent_heliocentric_position(epoch)[source]

This method computes the apparent heliocentric position of planet Uranus for a given epoch, using the VSOP87 theory.

Parameters:epoch (Epoch) – Epoch to compute Uranus position, as an Epoch object
Returns:A tuple with the heliocentric longitude and latitude (as Angle objects), and the radius vector (as a float, in astronomical units), in that order
Return type:tuple
Raises:TypeError if input values are of wrong type.
static conjunction(epoch)[source]

This method computes the time of the conjunction closest to the given epoch.

Parameters:epoch (Epoch) – Epoch close to the desired conjunction
Returns:The time when the conjunction happens, as an Epoch
Return type:Epoch
Raises:TypeError if input value is of wrong type.
Raises:ValueError if input epoch outside the -2000/4000 range.
>>> epoch = Epoch(1993, 10, 1.0)
>>> conj = Uranus.conjunction(epoch)
>>> y, m, d = conj.get_date()
>>> print(y)
1994
>>> print(m)
1
>>> print(round(d, 4))
12.7365
static geocentric_position(epoch)[source]

This method computes the geocentric position of Uranus (right ascension and declination) for the given epoch, as well as the elongation angle.

Parameters:epoch (Epoch) – Epoch to compute geocentric position, as an Epoch object
Returns:A tuple containing the right ascension, the declination and the elongation angle as Angle objects
Return type:tuple
Raises:TypeError if input value is of wrong type.
>>> epoch = Epoch(1992, 12, 20.0)
>>> ra, dec, elon = Uranus.geocentric_position(epoch)
>>> print(ra.ra_str(n_dec=1))
19h 13' 48.7''
>>> print(dec.dms_str(n_dec=1))
-22d 46' 13.0''
>>> print(elon.dms_str(n_dec=1))
18d 44' 18.7''
static geometric_heliocentric_position(epoch, tofk5=True)[source]

This method computes the geometric heliocentric position of planet Uranus for a given epoch, using the VSOP87 theory.

Parameters:
  • epoch (Epoch) – Epoch to compute Uranus position, as an Epoch object
  • tofk5 (bool) – Whether or not the small correction to convert to the FK5 system will be applied or not
Returns:

A tuple with the heliocentric longitude and latitude (as Angle objects), and the radius vector (as a float, in astronomical units), in that order

Return type:

tuple

Raises:

TypeError if input values are of wrong type.

>>> epoch = Epoch(2018, 10, 27.0)
>>> l, b, r = Uranus.geometric_heliocentric_position(epoch)
>>> print(round(l.to_positive(), 4))
30.5888
>>> print(round(b, 4))
-0.5315
>>> print(round(r, 5))
19.86964
static magnitude(sun_dist, earth_dist)[source]

This function computes the approximate magnitude of Uranus.

Parameters:
  • sun_dist (float) – Distance from Uranus to Sun, in Astronomical Units
  • earth_dist (float) – Distance from Uranus to Earth, in Astronomical Units
Returns:

Uranus’s magnitude

Return type:

float

Raises:

TypeError if input values are of wrong type.

static opposition(epoch)[source]

This method computes the time of the opposition closest to the given epoch.

Parameters:epoch (Epoch) – Epoch close to the desired opposition
Returns:The time when the opposition happens, as an Epoch
Return type:Epoch
Raises:TypeError if input value is of wrong type.
Raises:ValueError if input epoch outside the -2000/4000 range.
>>> epoch = Epoch(1780, 12, 1.0)
>>> oppo = Uranus.opposition(epoch)
>>> y, m, d = oppo.get_date()
>>> print(y)
1780
>>> print(m)
12
>>> print(round(d, 4))
17.5998
static orbital_elements_j2000(epoch)[source]

This method computes the orbital elements of Uranus for the standard equinox J2000.0 for a given epoch.

Parameters:epoch (Epoch) – Epoch to compute orbital elements, as an Epoch object
Returns:A tuple containing the following six orbital elements: - Mean longitude of the planet (Angle) - Semimajor axis of the orbit (float, astronomical units) - eccentricity of the orbit (float) - inclination on the plane of the ecliptic (Angle) - longitude of the ascending node (Angle) - argument of the perihelion (Angle)
Return type:tuple
Raises:TypeError if input values are of wrong type.
>>> epoch = Epoch(2065, 6, 24.0)
>>> l, a, e, i, ome, arg = Uranus.orbital_elements_j2000(epoch)
>>> print(round(l, 6))
234.602641
>>> print(round(a, 8))
19.21844604
>>> print(round(e, 7))
0.0463634
>>> print(round(i, 6))
0.772094
>>> print(round(ome, 5))
74.05468
>>> print(round(arg, 6))
99.009058
static orbital_elements_mean_equinox(epoch)[source]

This method computes the orbital elements of Uranus for the mean equinox of the date for a given epoch.

Parameters:epoch (Epoch) – Epoch to compute orbital elements, as an Epoch object
Returns:A tuple containing the following six orbital elements: - Mean longitude of the planet (Angle) - Semimajor axis of the orbit (float, astronomical units) - eccentricity of the orbit (float) - inclination on the plane of the ecliptic (Angle) - longitude of the ascending node (Angle) - argument of the perihelion (Angle)
Return type:tuple
Raises:TypeError if input values are of wrong type.
>>> epoch = Epoch(2065, 6, 24.0)
>>> l, a, e, i, ome, arg = Uranus.orbital_elements_mean_equinox(epoch)
>>> print(round(l, 6))
235.517526
>>> print(round(a, 8))
19.21844604
>>> print(round(e, 7))
0.0463634
>>> print(round(i, 6))
0.77372
>>> print(round(ome, 5))
74.34776
>>> print(round(arg, 6))
99.630865
static passage_nodes(epoch, ascending=True)[source]

This function computes the time of passage by the nodes (ascending or descending) of Uranus, nearest to the given epoch.

Parameters:
  • epoch (Epoch) – Epoch closest to the node passage
  • ascending (bool) – Whether the time of passage by the ascending (True) or descending (False) node will be computed
Returns:

Tuple containing: - Time of passage through the node (Epoch) - Radius vector when passing through the node (in AU, float)

Return type:

tuple

Raises:

TypeError if input values are of wrong type.

>>> epoch = Epoch(2019, 1, 1)
>>> time, r = Uranus.passage_nodes(epoch)
>>> year, month, day = time.get_date()
>>> print(year)
2028
>>> print(month)
8
>>> print(round(day, 1))
23.2
>>> print(round(r, 4))
19.3201
static perihelion_aphelion(epoch, perihelion=True)[source]

This method computes the time of Perihelion (or Aphelion) closer to a given epoch.

Parameters:
  • epoch (Epoch) – Epoch close to the desired Perihelion (or Aphelion)
  • peihelion – If True, the epoch of the closest Perihelion is computed, if False, the epoch of the closest Aphelion is found.
Returns:

The epoch of the desired Perihelion (or Aphelion)

Return type:

Epoch

Raises:

TypeError if input values are of wrong type.

Note

The solution provided by this method may have several days of error.

>>> epoch = Epoch(1880, 1, 1.0)
>>> e = Uranus.perihelion_aphelion(epoch)
>>> y, m, d = e.get_date()
>>> print(y)
1882
>>> print(m)
3
>>> print(int(d))
18
>>> epoch = Epoch(2090, 1, 1.0)
>>> e = Uranus.perihelion_aphelion(epoch, perihelion=False)
>>> y, m, d = e.get_date()
>>> print(y)
2092
>>> print(m)
11
>>> print(int(d))
22
pymeeus.Uranus.VSOP87_B = [[[1346277.639, 2.61877810545, 74.7815985673], [62341.405, 5.08111175856, 149.5631971346], [61601.203, 3.14159265359, 0.0], [9963.744, 1.61603876357, 76.2660712756], [9926.151, 0.57630387917, 73.297125859], [3259.455, 1.2611938596, 224.3447957019], [2972.318, 2.24367035538, 1.4844727083], [2010.257, 6.05550401088, 148.0787244263], [1522.172, 0.27960386377, 63.7358983034], [924.055, 4.03822927853, 151.0476698429], [760.624, 6.14000431923, 71.8126531507], [420.265, 5.21279984788, 11.0457002639], [430.668, 3.55445034854, 213.299095438], [436.843, 3.38082524317, 529.6909650946], [522.309, 3.3208519477, 138.5174968707], [434.625, 0.34065281858, 77.7505439839], [462.63, 0.74256727574, 85.8272988312], [232.649, 2.25716421383, 222.8603229936], [215.838, 1.5912170494, 38.1330356378], [244.698, 0.78795150326, 2.9689454166], [179.935, 3.72487952673, 299.1263942692], [174.895, 1.23550262213, 146.594251718], [173.667, 1.93654269131, 380.12776796], [160.368, 5.33635436463, 111.4301614968], [144.064, 5.96239326415, 35.1640902212], [102.049, 2.61876256513, 78.7137518304], [116.363, 5.73877190007, 70.8494453042], [106.441, 0.94103112994, 70.3281804424], [86.163, 0.70262506622, 39.6175083461], [72.617, 0.20564696113, 225.8292684102], [71.172, 0.83343269975, 109.9456887885], [57.502, 2.67039425415, 108.4612160802], [54.255, 3.35166579613, 184.7272873558], [44.47, 2.74408231138, 152.5321425512], [38.591, 5.17394663303, 202.2533951741], [39.157, 2.17108251341, 351.8165923087], [41.346, 3.22134319551, 160.6088973985], [35.14, 4.00111634363, 112.9146342051], [33.073, 3.61378095742, 221.3758502853], [31.315, 2.71969470781, 145.1097790097], [37.336, 4.02053241202, 52.6901980395], [32.028, 1.29160071142, 145.6310438715], [27.574, 3.7006426696, 36.6485629295], [24.277, 2.84989187496, 127.4717966068], [24.635, 1.11645461259, 3.9321532631], [24.315, 5.48987913644, 79.2350166922], [21.418, 0.63722900407, 277.0349937414], [19.826, 2.5933418223, 84.3428261229], [22.373, 5.73687615457, 4.4534181249], [19.137, 1.30214105578, 62.2514255951], [19.789, 4.72260849557, 297.6419215609], [20.299, 1.06070151806, 454.9093665273], [19.768, 5.77906142568, 305.3461693927], [21.348, 1.01350946382, 33.6796175129], [15.142, 2.91786832554, 426.598190876], [16.0, 1.95535748902, 186.2117600641], [13.819, 2.67163927171, 74.6697239827], [11.463, 5.73391138419, 41.1019810544], [10.741, 3.73401569675, 1059.3819301892], [11.45, 3.98177764866, 106.9767433719], [10.36, 4.75567608732, 183.2428146475], [10.232, 6.18772866993, 373.9079928365], [13.803, 5.70712120608, 74.8934731519], [10.553, 3.78602881738, 490.3340891794], [11.838, 5.96756415681, 87.3117715395], [10.03, 1.74828757238, 22.0914005278], [10.107, 0.92911975959, 65.2203710117], [9.127, 5.11093790809, 153.4953503977], [12.093, 2.53736362742, 9.5612275556], [8.646, 4.18351923569, 12.5301729722], [9.978, 5.83600622359, 604.4725636619], [11.352, 2.12645777694, 68.8437077341], [8.472, 3.36885457285, 72.3339180125], [7.797, 5.11771906359, 77.962992305], [8.302, 5.19247905162, 77.2292791221], [7.696, 3.25189037096, 71.6002048296], [7.513, 2.982659701, 114.3991069134], [6.947, 3.31871016057, 56.6223513026], [6.49, 0.88434578474, 288.0806940053], [6.394, 3.51142812432, 220.4126424388], [6.211, 0.58222518453, 340.7708920448], [6.772, 4.09374798222, 137.0330241624], [5.595, 5.68643434536, 259.5088859231], [5.309, 2.65421183211, 300.6108669775], [4.95, 4.99672086239, 219.891377577], [6.419, 0.44895727879, 140.001969579], [4.975, 4.06722486039, 143.6253063014], [5.692, 3.7656346318, 67.6680515665], [4.853, 2.03383592524, 415.5524906121], [3.796, 1.26231186682, 75.3028634291], [3.807, 2.24787582155, 909.8187330546], [3.812, 3.10475682509, 181.7583419392], [3.764, 5.2005209056, 227.3137411185], [3.445, 5.91769433069, 296.1574488526], [3.517, 5.44397685665, 628.8515860501], [3.943, 4.95136058926, 265.9892934775], [3.472, 0.3473799838, 131.4039498699], [3.39, 0.53497504164, 206.1855484372], [3.038, 4.68314286209, 159.1244246902], [3.19, 5.68929316349, 235.3904959658], [3.303, 2.09359507373, 73.8183907208], [3.069, 4.49065085092, 66.70484372], [3.285, 0.00780313833, 75.7448064138], [2.917, 4.21615078632, 258.0244132148], [3.747, 0.82999983666, 74.2603337055], [2.814, 3.96708337625, 82.8583534146], [2.474, 3.81319259323, 7.1135470008], [2.394, 2.21483198491, 54.1746707478], [2.555, 2.97023907145, 378.6432952517], [2.631, 1.55153254691, 154.0166152595], [2.633, 2.28385552693, 32.1951448046], [2.643, 3.9683272968, 381.6122406683], [2.206, 3.06995275892, 59.8037450403], [2.635, 0.53987945692, 211.8146227297], [2.071, 1.97429082033, 18.1592472647], [2.485, 3.5543384699, 96.8729990951], [2.061, 4.50102695788, 5.9378908332], [1.916, 1.60538526374, 80.1982245387], [2.48, 0.63321072542, 187.6962327724], [2.039, 2.97351088965, 191.2076949102], [1.833, 1.95824865568, 81.8951455681], [1.719, 2.22526635038, 479.2883889155], [1.745, 3.22821992592, 218.4069048687], [1.857, 1.66304484985, 984.6003316219], [1.766, 5.24239122261, 105.4922706636], [1.524, 6.05374020264, 99.1606209555], [1.519, 0.94716867229, 372.4235201282], [1.614, 3.39986066169, 230.5645708254], [1.711, 3.44237080993, 522.5774180938], [1.504, 1.34653259405, 74.5209661364], [1.577, 4.3802093672, 80.7194894005], [1.36, 5.4869124027, 74.8297826771], [1.364, 4.56045715617, 42.5864537627], [1.398, 0.33827838973, 142.4496501338], [1.709, 3.63188407264, 554.0699874828], [1.36, 2.89305157919, 74.7334144575], [1.26, 5.50922979275, 74.9416572617], [1.374, 4.398979932, 260.9933586314], [1.366, 2.15288773765, 162.0933701068], [1.244, 4.97789913094, 149.45132255], [1.269, 0.84167691738, 767.3690829208], [1.278, 4.53585702916, 294.6729761443], [1.342, 5.11117141196, 51.2057253312], [1.18, 0.79882196802, 116.4260963429], [1.495, 0.74986873597, 75.0422309982], [1.207, 3.67288675913, 20.6069278195], [1.181, 4.39598416757, 180.2738692309], [1.248, 3.13312504066, 67.3592350258], [1.263, 2.87116663203, 74.6215398729], [1.38, 3.76141611602, 92.940845832], [1.113, 3.87133607367, 39.3568759152], [1.018, 6.20393099094, 835.0371344873], [0.962, 3.30343472839, 255.0554677982], [1.238, 1.73023505315, 149.6750717192], [0.97, 1.71236273285, 115.8835796217], [1.001, 5.49914631698, 256.5399405065], [0.921, 3.07729879788, 8.0767548473], [0.914, 0.00764291274, 536.8045120954], [0.911, 6.23753038018, 200.7689224658], [0.956, 5.76811833839, 128.9562693151], [0.999, 0.33400530567, 404.5067903482], [0.952, 3.00456073496, 14.977853527], [0.765, 3.4545453366, 214.7835681463], [0.8, 3.2091293209, 28.3111756513], [0.799, 4.11425365829, 125.9873238985], [1.021, 1.79905869707, 3.1813937377], [0.706, 5.80210566917, 157.6399519819], [0.715, 5.56313177065, 146.3818033969], [0.689, 1.84748347121, 41.6444977756], [0.682, 5.16479782395, 74.0308390419], [0.673, 2.65544175682, 75.5323580927], [0.723, 4.75905991606, 331.3215390738], [0.73, 2.25510749124, 453.424893819], [0.691, 3.58561635364, 362.8622925726], [0.641, 5.77408891198, 110.2063212194], [0.671, 5.96862039131, 135.5485514541], [0.631, 1.97807297205, 639.897286314], [0.774, 0.42035450706, 565.1156877467], [0.705, 2.94649553712, 60.7669528868], [0.663, 5.32574112049, 142.1408335931], [0.612, 2.01741578932, 195.1398481733], [0.749, 5.56828487823, 2.4476805548], [0.798, 0.90969731665, 152.0108776894], [0.747, 5.07639466593, 89.7594520943], [0.65, 4.56215718085, 216.9224321604], [0.651, 2.80626026285, 50.4025761791], [0.593, 1.89556258897, 203.7378678824], [0.55, 2.90625551534, 68.1893164283], [0.548, 3.75628845322, 617.8058857862], [0.554, 2.78135114877, 14.0146456805], [0.53, 3.51385025328, 291.7040307277], [0.506, 4.94619342366, 81.3738807063], [0.649, 5.74895589744, 141.4864422873], [0.593, 5.40734033998, 692.5874843535], [0.544, 2.9991051278, 152.7445908723], [0.485, 2.36317665443, 448.6895914038], [0.481, 5.81647231299, 134.5853436076], [0.517, 4.97759795528, 387.2413149608], [0.573, 2.46311368783, 81.0013736908], [0.47, 1.30184316812, 228.276948965], [0.475, 0.53480492526, 303.8616966844], [0.485, 6.21247575899, 5.4166259714], [0.468, 0.55881267334, 23.5758732361], [0.585, 4.67924542643, 88.7962442478], [0.512, 5.86200059955, 293.188503436], [0.445, 2.50076311432, 905.8865797915], [0.501, 4.79997295899, 306.830642101], [0.418, 5.21379084769, 35.4247226521], [0.408, 5.69107313998, 284.1485407422], [0.474, 3.03149617428, 286.596221297], [0.432, 4.20907682097, 278.5194664497], [0.506, 2.05348204197, 373.0142209592], [0.41, 5.30637634877, 95.3885263868], [0.478, 2.41106642594, 358.9301393095], [0.536, 1.8261477226, 114.1384744825], [0.383, 5.54541241459, 419.4846438752], [0.413, 0.03813081773, 103.0927742186], [0.368, 4.08526832792, 1589.0728952838], [0.369, 1.82533858431, 334.2904844904], [0.491, 5.58913582973, 68.5618234438], [0.387, 0.5661931048, 602.9880909536], [0.427, 5.08349119654, 367.9701020033], [0.475, 0.17507881032, 120.358249606], [0.342, 5.27187859255, 28.5718080822], [0.407, 2.00853504718, 679.2541622292], [0.381, 4.61366060949, 329.7251917809], [0.388, 0.88856038803, 483.2205421786], [0.376, 1.28856348513, 155.7829722581], [0.326, 6.09140263554, 456.3938392356], [0.318, 0.09996195379, 69.3649725959], [0.292, 5.11578046796, 375.3924655448], [0.299, 6.04121646505, 332.8060117821], [0.328, 3.47252263966, 73.4090004436], [0.283, 1.81773059325, 647.0108333148], [0.308, 3.50154864071, 30.7106720963], [0.283, 1.88910019831, 24.3790223882], [0.278, 3.85507901929, 760.25553592], [0.273, 4.22941219477, 391.1734682239], [0.293, 5.44464406156, 477.9157907918], [0.289, 3.85492516765, 209.3669421749], [0.309, 1.97045147502, 543.0242872189], [0.324, 5.57191515554, 501.3797894433], [0.248, 2.17741598681, 611.5861106627], [0.245, 1.04008534095, 1332.4847706675], [0.248, 6.19516038159, 1134.1635287565], [0.242, 1.37720813333, 121.2520214833], [0.233, 0.50933224249, 462.0229135281], [0.319, 4.2421988104, 328.3525936572], [0.244, 6.0064485364, 295.1942410061], [0.228, 0.72608678727, 233.9060232575], [0.223, 5.35785607671, 983.1158589136], [0.304, 5.68101077712, 189.1807054807], [0.223, 2.04168197187, 370.9390474199], [0.245, 4.69742022955, 316.3918696566], [0.217, 4.33845164683, 269.9214467406], [0.267, 0.15744446718, 10213.285546211], [0.21, 5.84975171904, 147.1155165798], [0.224, 3.04829549918, 1439.5096981492], [0.226, 0.72248476212, 45.5766510387], [0.202, 1.37341689387, 302.0953396858], [0.207, 6.13936312021, 344.7030453079], [0.228, 2.33602531859, 150.5264049811], [0.203, 2.38070591912, 275.5505210331], [0.194, 5.11344829813, 1215.1649024473], [0.259, 2.78974616768, 144.1465711632], [0.199, 3.21010368905, 7.4223635415], [0.246, 6.15106498377, 6.2197751235], [0.18, 4.7037703687, 518.6452648307], [0.186, 3.85070006482, 46.2097904851], [0.175, 3.72163733058, 150.0844619964], [0.165, 1.87245210311, 310.1720945331], [0.166, 3.24028819042, 173.9422195228], [0.181, 0.39521867351, 0.9632078465], [0.144, 1.78180338482, 531.1754378029], [0.137, 6.20635855175, 369.4545747116], [0.136, 4.00164375048, 526.722019678], [0.141, 4.02238453909, 350.3321196004], [0.125, 5.28865037145, 329.8370663655], [0.134, 3.97421067761, 228.7982138268], [0.132, 4.52023845365, 148.5999892881], [0.125, 4.24724390191, 248.7238180901], [0.12, 4.08565783859, 154.979823106], [0.133, 3.16576403244, 262.4778313397]], [[206366.162, 4.12394311407, 74.7815985673], [8563.23, 0.33819986165, 149.5631971346], [1725.703, 2.12193159895, 73.297125859], [1368.86, 3.06861722047, 76.2660712756], [1374.449, 0.0, 0.0], [399.847, 2.84767037795, 224.3447957019], [450.639, 3.77656180977, 1.4844727083], [307.214, 1.25456766737, 148.0787244263], [154.336, 3.78575467747, 63.7358983034], [110.888, 5.32888676461, 138.5174968707], [112.432, 5.57299891505, 151.0476698429], [83.493, 3.59152795558, 71.8126531507], [55.573, 3.40135416354, 85.8272988312], [41.377, 4.45476669141, 78.7137518304], [53.69, 1.70455769943, 77.7505439839], [41.912, 1.21476607434, 11.0457002639], [31.959, 3.77446207748, 222.8603229936], [30.297, 2.56371683644, 2.9689454166], [26.977, 5.33695500294, 213.299095438], [26.222, 0.41620628369, 380.12776796], [20.094, 5.9308563351, 529.6909650946], [22.992, 2.48887389394, 146.594251718], [19.59, 5.37213500014, 299.1263942692], [20.408, 3.70179681605, 70.8494453042], [19.102, 1.09213276596, 111.4301614968], [19.411, 3.83015453768, 38.1330356378], [10.847, 2.66326308043, 3.9321532631], [10.249, 2.3127880772, 109.9456887885], [9.405, 2.76950513184, 39.6175083461], [7.66, 1.8110846285, 225.8292684102], [8.082, 4.69064168719, 184.7272873558], [6.584, 5.50417589189, 35.1640902212], [7.41, 1.17879753422, 65.2203710117], [6.451, 4.98294064391, 71.6002048296], [6.089, 1.31830108565, 52.6901980395], [4.768, 5.90574941745, 145.6310438715], [4.84, 4.86390682412, 221.3758502853], [4.192, 3.29643787103, 77.962992305], [4.711, 4.24289069791, 152.5321425512], [4.894, 6.01164167429, 160.6088973985], [3.738, 4.75287390209, 70.3281804424], [3.481, 0.64108927026, 153.4953503977], [3.758, 3.94715595219, 351.8165923087], [3.114, 0.10537144899, 112.9146342051], [2.788, 4.24118032837, 74.6697239827], [2.505, 0.04576283378, 297.6419215609], [2.563, 4.15665405963, 305.3461693927], [2.544, 5.25903565788, 56.6223513026], [2.247, 4.24726481845, 36.6485629295], [2.541, 0.40106060407, 77.2292791221], [2.212, 2.88960413468, 277.0349937414], [2.299, 3.57748029365, 186.2117600641], [2.661, 0.53230319176, 79.2350166922], [2.157, 2.10150995852, 127.4717966068], [2.265, 1.41055702214, 4.4534181249], [2.103, 4.27438518414, 22.0914005278], [1.861, 3.75619999278, 145.1097790097], [1.759, 2.10240976488, 131.4039498699], [1.661, 4.84483054269, 62.2514255951], [1.496, 1.72084298116, 220.4126424388], [1.659, 5.86539712478, 454.9093665273], [1.428, 0.31508367934, 137.0330241624], [1.522, 1.00801468633, 75.7448064138], [1.459, 6.17427145114, 426.598190876], [1.463, 5.14953143442, 84.3428261229], [1.453, 2.22988903923, 206.1855484372], [1.358, 5.85111427068, 183.2428146475], [1.405, 2.43582184515, 87.3117715395], [1.495, 5.55621838458, 67.6680515665], [1.317, 1.91178535183, 140.001969579], [1.068, 1.51430678116, 373.9079928365], [1.439, 0.99170994448, 74.8934731519], [1.065, 4.15616015505, 288.0806940053], [1.096, 1.63909426062, 41.1019810544], [1.189, 0.90595784409, 33.6796175129], [0.961, 5.48175535705, 490.3340891794], [0.851, 0.95029849401, 909.8187330546], [0.82, 0.78610123063, 259.5088859231], [0.881, 4.31294603221, 9.5612275556], [0.708, 7.309836e-05, 81.8951455681], [0.709, 3.18853632737, 80.1982245387], [0.786, 5.18884635415, 114.3991069134], [0.822, 0.01949759759, 18.1592472647], [0.656, 6.16899483115, 96.8729990951], [0.879, 1.82006610038, 73.8183907208], [0.872, 0.30134022304, 12.5301729722], [0.86, 0.21225398802, 3.1813937377], [0.637, 2.64378420008, 75.3028634291], [0.727, 0.02846968582, 66.70484372], [0.6, 4.42462853209, 415.5524906121], [0.59, 4.17885957237, 300.6108669775], [0.61, 6.07202921132, 219.891377577], [0.611, 0.97629869063, 296.1574488526], [0.635, 2.21125075603, 74.2603337055], [0.529, 2.35940463062, 7.1135470008], [0.622, 2.2180194485, 211.8146227297], [0.519, 2.01872911223, 142.4496501338], [0.489, 1.83419944488, 92.940845832], [0.445, 2.51784247184, 604.4725636619], [0.413, 5.36482818305, 82.8583534146], [0.445, 0.33164113115, 227.3137411185], [0.456, 2.44190834824, 381.6122406683], [0.378, 1.91873737843, 202.2533951741], [0.509, 5.83556856314, 191.2076949102], [0.455, 5.15414537021, 522.5774180938], [0.419, 2.80644155875, 72.3339180125], [0.333, 0.3201483795, 2.4476805548], [0.36, 1.47248643716, 378.6432952517], [0.306, 0.15517399606, 159.1244246902], [0.301, 4.46417652272, 536.8045120954], [0.353, 0.48749845867, 128.9562693151], [0.351, 6.24769322491, 5.9378908332], [0.298, 1.71815652029, 235.3904959658], [0.315, 2.44922921309, 187.6962327724], [0.318, 0.7017635951, 181.7583419392], [0.314, 4.68400251693, 14.977853527], [0.282, 3.70093718573, 108.4612160802], [0.272, 3.91340553608, 617.8058857862], [0.273, 3.29483889428, 387.2413149608], [0.323, 4.90410549341, 258.0244132148], [0.288, 4.42249612833, 195.1398481733], [0.25, 1.23231297183, 703.6331846174], [0.338, 2.8464576889, 154.0166152595], [0.297, 1.16538119842, 146.3818033969], [0.248, 4.90614051989, 41.6444977756], [0.275, 5.35665949805, 80.7194894005], [0.257, 1.82441994046, 230.5645708254], [0.234, 0.27679874465, 33.1371007917], [0.28, 1.73679618032, 265.9892934775], [0.229, 0.49529839431, 74.8297826771], [0.229, 4.18462288684, 74.7334144575], [0.253, 2.63817804331, 74.5209661364], [0.252, 2.04143912495, 75.0422309982], [0.213, 4.16218259902, 74.6215398729], [0.212, 0.51761494342, 74.9416572617], [0.201, 4.54140547837, 20.6069278195], [0.194, 4.17282454759, 116.4260963429], [0.213, 2.29528235429, 32.1951448046], [0.174, 3.15418942153, 228.276948965], [0.194, 0.06960211137, 42.5864537627], [0.173, 5.59700344643, 68.8437077341], [0.159, 4.91721631097, 143.6253063014], [0.15, 0.92771324396, 404.5067903482], [0.136, 2.51083022906, 372.4235201282], [0.134, 3.22507836958, 479.2883889155], [0.124, 0.42063711585, 149.45132255], [0.122, 1.20639876458, 5.4166259714], [0.119, 0.45375065997, 74.0308390419], [0.146, 5.0820733036, 294.6729761443], [0.118, 4.2264078889, 75.5323580927], [0.118, 1.50613822829, 344.7030453079], [0.121, 2.13544759505, 209.3669421749], [0.121, 6.0823907637, 260.9933586314], [0.154, 4.18369977366, 39.3568759152]], [[9211.656, 5.80044305785, 74.7815985673], [556.926, 0.0, 0.0], [286.265, 2.17729776353, 149.5631971346], [94.969, 3.84237569809, 73.297125859], [45.419, 4.87822046064, 76.2660712756], [20.107, 5.46264485369, 1.4844727083], [14.793, 0.87983715652, 138.5174968707], [13.963, 5.07234043994, 63.7358983034], [14.261, 2.84517742687, 148.0787244263], [10.122, 5.00290894862, 224.3447957019], [8.299, 6.26655615197, 78.7137518304], [4.729, 5.16274174929, 71.8126531507], [3.816, 6.28224514574, 85.8272988312], [3.488, 3.53472172445, 11.0457002639], [2.555, 1.44444215715, 151.0476698429], [2.353, 4.23069776466, 3.9321532631], [2.585, 0.41383633246, 71.6002048296], [1.394, 4.13126838571, 146.594251718], [1.183, 3.68471361409, 77.7505439839], [1.103, 5.54212014132, 222.8603229936], [1.205, 5.05109252937, 380.12776796], [1.146, 1.95280464754, 529.6909650946], [0.977, 1.52652616357, 77.962992305], [1.025, 4.33698643491, 2.9689454166], [0.858, 2.78728745263, 111.4301614968], [0.868, 5.55175791193, 38.1330356378], [0.633, 0.41074353315, 213.299095438], [0.596, 5.39265533517, 127.4717966068], [0.586, 4.00404667232, 109.9456887885], [0.543, 2.40369406419, 153.4953503977], [0.486, 2.05237757516, 299.1263942692], [0.557, 3.13408880388, 65.2203710117], [0.457, 3.96543219832, 454.9093665273], [0.481, 2.81511187371, 160.6088973985], [0.421, 2.16819778071, 56.6223513026], [0.326, 4.5292001243, 39.6175083461], [0.308, 6.26508780547, 70.3281804424], [0.338, 5.14594268587, 3.1813937377], [0.288, 0.47061435406, 22.0914005278], [0.336, 4.23512034174, 35.1640902212], [0.316, 3.93430525759, 52.6901980395], [0.306, 1.10359318443, 70.8494453042], [0.25, 3.58780257084, 202.2533951741], [0.239, 4.7767930608, 87.3117715395], [0.227, 2.74138067839, 12.5301729722], [0.263, 1.59203582407, 84.3428261229], [0.215, 3.88195737361, 131.4039498699], [0.216, 5.80700510713, 74.6697239827], [0.264, 1.82574036051, 77.2292791221], [0.222, 0.0411188355, 184.7272873558], [0.197, 1.56602555362, 9.5612275556], [0.193, 2.2641693816, 75.7448064138], [0.179, 2.69065316892, 145.6310438715], [0.17, 2.75844544119, 73.8183907208], [0.155, 3.5539324911, 18.1592472647], [0.174, 4.76111441901, 277.0349937414], [0.14, 0.2871476287, 221.3758502853], [0.134, 1.29065526326, 206.1855484372], [0.127, 6.17908901556, 62.2514255951], [0.116, 6.26646620658, 220.4126424388]], [[267.832, 1.25097888291, 74.7815985673], [11.048, 3.14159265359, 0.0], [6.154, 4.00663614486, 149.5631971346], [3.361, 5.77804694935, 73.297125859], [1.602, 1.05657834344, 63.7358983034], [1.265, 1.66795295537, 78.7137518304], [1.183, 2.58856450374, 138.5174968707], [1.087, 0.28687213135, 76.2660712756], [0.64, 1.87238784591, 71.6002048296], [0.59, 0.80206040001, 1.4844727083], [0.467, 4.42872012006, 148.0787244263], [0.272, 4.00684090176, 85.8272988312], [0.203, 0.60406901282, 71.8126531507], [0.18, 5.55657564049, 3.9321532631], [0.168, 4.67745630044, 70.8494453042], [0.17, 2.93672195979, 11.0457002639]], [[5.719, 2.85499529315, 74.7815985673], [0.3, 3.14159265359, 0.0]]]

This table contains Uranus’ periodic terms (all of them) from the planetary theory VSOP87 for the heliocentric latitude at the equinox of date (taken from the ‘D’ solution). In Meeus’ book a shortened version can be found in pages 448-449.

pymeeus.Uranus.VSOP87_L = [[[548129294.299, 0.0, 0.0], [9260408.252, 0.8910642153, 74.7815985673], [1504247.826, 3.62719262195, 1.4844727083], [365981.718, 1.89962189068, 73.297125859], [272328.132, 3.35823710524, 149.5631971346], [70328.499, 5.39254431993, 63.7358983034], [68892.609, 6.09292489045, 76.2660712756], [61998.592, 2.26952040469, 2.9689454166], [61950.714, 2.85098907565, 11.0457002639], [26468.869, 3.14152087888, 71.8126531507], [25710.505, 6.11379842935, 454.9093665273], [21078.897, 4.36059465144, 148.0787244263], [17818.665, 1.74436982544, 36.6485629295], [14613.471, 4.73732047977, 3.9321532631], [11162.535, 5.82681993692, 224.3447957019], [10997.934, 0.48865493179, 138.5174968707], [9527.487, 2.95516893093, 35.1640902212], [7545.543, 5.23626440666, 109.9456887885], [4220.17, 3.23328535514, 70.8494453042], [4051.85, 2.27754158724, 151.0476698429], [3354.607, 1.06549008887, 4.4534181249], [2926.671, 4.62903695486, 9.5612275556], [3490.352, 5.48305567292, 146.594251718], 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3.49663062387, 128.9562693151], [0.445, 2.60797570173, 96.8729990951], [0.466, 6.05585106742, 70.1157321213], [0.425, 1.04692398351, 19.643719973], [0.491, 2.2612339868, 152.0108776894], [0.455, 5.45520675, 333.657345044], [0.458, 0.91654899383, 373.0142209592], [0.52, 5.72828536642, 111.4301614968], [0.432, 1.04604024916, 125.9873238985], [0.387, 2.82547341355, 200.7689224658], [0.383, 1.91679738697, 5.6290742925], [0.504, 1.95816731769, 415.5524906121], [0.37, 3.21958844151, 387.2413149608], [0.379, 2.75940848661, 81.8951455681], [0.345, 2.98021540638, 429.7795846137], [0.368, 6.20331898497, 456.3938392356], [0.335, 5.29062985955, 13.3333221243], [0.32, 0.74685222907, 347.8844390456], [0.307, 1.65925943351, 99.1606209555], [0.284, 2.0943747648, 129.9194771616], [0.275, 0.62680026669, 31.492569389], [0.339, 1.65968150805, 142.4496501338], [0.27, 2.7937834555, 977.4867846211], [0.284, 2.42261530322, 546.956440482], [0.271, 0.59225635449, 1894.4190646765], [0.263, 3.49309481771, 440.6822725257], [0.295, 0.43376026627, 373.9079928365], [0.271, 4.82853730065, 561.1835344836], [0.248, 5.72379940676, 79.2350166922], [0.252, 5.76728095309, 235.3904959658], [0.261, 0.09830739366, 991.7138786227], [0.238, 1.14634663242, 288.0806940053], [0.22, 5.12386263728, 479.2883889155], [0.263, 1.52366362053, 146.3818033969], [0.23, 0.35983101967, 109.9456887885], [0.214, 2.9438876558, 184.7272873558], [0.198, 5.72107161521, 453.424893819], [0.185, 4.7160017678, 108.4612160802], [0.139, 2.99832472431, 211.8146227297], [0.167, 1.1964352228, 39.6175083461], [0.18, 0.80198096578, 183.2428146475], [0.131, 2.73236351123, 522.5774180938], [0.142, 5.03489222377, 536.8045120954]], [[120.936, 0.02418789918, 74.7815985673], [68.064, 4.12084267733, 3.9321532631], [52.828, 2.3896406126, 11.0457002639], [43.754, 2.95965039734, 1.4844727083], [45.3, 2.0442379841, 3.1813937377], [45.806, 0.0, 0.0], [24.969, 4.88741307918, 63.7358983034], [21.061, 4.54511486862, 70.8494453042], [19.897, 2.31320314136, 149.5631971346], [8.901, 1.57548871761, 56.6223513026], [4.271, 0.22777319552, 18.1592472647], [3.613, 5.39244611308, 76.2660712756], [3.488, 4.97622811775, 85.8272988312], [3.479, 4.12969359977, 52.6901980395], [3.572, 0.95052448578, 77.962992305], [2.328, 0.85770961794, 145.6310438715], [2.696, 0.37287796344, 78.7137518304], [1.946, 2.67997393431, 7.1135470008], [2.156, 5.65647821519, 9.5612275556], [1.363, 4.86983744746, 224.3447957019], [1.333, 1.25032115614, 12.5301729722], [1.613, 0.48764377311, 71.6002048296], [1.475, 5.19957293069, 73.297125859], [1.225, 3.93406822032, 22.0914005278], [0.911, 2.18921999026, 127.4717966068], [0.811, 3.98323855938, 462.0229135281], [0.808, 5.06374463008, 447.7958195265], [0.718, 0.34600103024, 5.6290742925], [0.722, 1.05856935832, 138.5174968707], [0.687, 2.93752748595, 131.4039498699], [0.463, 1.58927254512, 151.0476698429], [0.414, 4.3290428762, 120.358249606], [0.372, 0.73596518002, 269.9214467406], [0.345, 3.05968942771, 561.1835344836], [0.338, 5.94221536204, 284.1485407422], [0.343, 4.01891371998, 546.956440482], [0.382, 5.93515231196, 45.5766510387], [0.276, 3.44212110991, 202.2533951741], [0.3, 1.13119175675, 160.6088973985], [0.268, 3.24615387968, 536.8045120954], [0.358, 1.10916640253, 333.657345044], [0.236, 4.65292396535, 387.2413149608], [0.204, 5.81663798296, 373.0142209592], [0.145, 2.75632381347, 92.940845832], [0.149, 0.13764106563, 71.8126531507], [0.156, 2.90936922804, 153.4953503977]], [[113.855, 3.14159265359, 0.0], [5.599, 4.57882424417, 74.7815985673], [3.203, 0.34623003207, 11.0457002639], [1.217, 3.42199121826, 56.6223513026], [0.634, 4.65759668097, 18.1592472647], [0.171, 3.80393539303, 149.5631971346], [0.133, 4.35519131657, 63.7358983034]], [[0.873, 3.14159265359, 0.0]]]

This table contains Uranus’ periodic terms (all of them) from the planetary theory VSOP87 for the heliocentric longitude at the equinox of date (taken from the ‘D’ solution). In Meeus’ book a shortened version can be found in pages 445-448.

pymeeus.Uranus.VSOP87_R = [[[1921264847.881, 0.0, 0.0], [88784984.055, 5.60377526994, 74.7815985673], [3440835.545, 0.32836098991, 73.297125859], [2055653.495, 1.78295170028, 149.5631971346], [649321.851, 4.52247298119, 76.2660712756], [602248.144, 3.86003820462, 63.7358983034], [496404.171, 1.40139934716, 454.9093665273], [338525.522, 1.58002682946, 138.5174968707], [243508.222, 1.57086595074, 71.8126531507], [190521.915, 1.99809364502, 1.4844727083], [161858.251, 2.79137863469, 148.0787244263], [143705.902, 1.38368574483, 11.0457002639], [93192.359, 0.17437193645, 36.6485629295], [71424.265, 4.24509327405, 224.3447957019], [89805.842, 3.66105366329, 109.9456887885], [39009.624, 1.66971128869, 70.8494453042], [46677.322, 1.39976563936, 35.1640902212], [39025.681, 3.36234710692, 277.0349937414], [36755.16, 3.88648934736, 146.594251718], [30348.875, 0.70100446346, 151.0476698429], [29156.264, 3.18056174556, 77.7505439839], [20471.584, 1.555889615, 202.2533951741], [25620.36, 5.25656292802, 380.12776796], [25785.805, 3.78537741503, 85.8272988312], [22637.152, 0.72519137745, 529.6909650946], [20473.163, 2.79639811626, 70.3281804424], [17900.561, 0.55455488605, 2.9689454166], [12328.151, 5.96039150918, 127.4717966068], [14701.566, 4.90434406648, 108.4612160802], [11494.701, 0.43774027872, 65.2203710117], [15502.809, 5.35405037603, 38.1330356378], [10792.699, 1.42104858472, 213.299095438], [11696.085, 3.29825599114, 3.9321532631], [11959.355, 1.75044072173, 984.6003316219], [12896.507, 2.62154018241, 111.4301614968], [11852.996, 0.99342814582, 52.6901980395], [9111.446, 4.99638600045, 62.2514255951], [8420.55, 5.25350716616, 222.8603229936], [7449.125, 0.79491905956, 351.8165923087], [8402.147, 5.03877516489, 415.5524906121], [6046.37, 5.67960948357, 78.7137518304], [5524.133, 3.11499484161, 9.5612275556], [7329.454, 3.9727752784, 183.2428146475], [5444.878, 5.10575635361, 145.1097790097], [5238.103, 2.62960141797, 33.6796175129], [4079.167, 3.22064788674, 340.7708920448], [3801.606, 6.10985558505, 184.7272873558], [3919.476, 4.25015288873, 39.6175083461], [2940.492, 2.14637460319, 137.0330241624], [3781.219, 3.45840272873, 456.3938392356], [2942.239, 0.42393808854, 299.1263942692], [3686.787, 2.48718116535, 453.424893819], [3101.743, 4.14031063896, 219.891377577], [2962.641, 0.82977991995, 56.6223513026], [2937.799, 3.6765745093, 140.001969579], [2865.128, 0.30996903761, 12.5301729722], [2538.032, 4.85457831993, 131.4039498699], [1962.51, 5.24342224065, 84.3428261229], [2363.55, 0.44253328372, 554.0699874828], [1979.394, 6.12836181686, 106.9767433719], [2182.572, 2.94040431638, 305.3461693927], [1962.974, 0.0411473912, 221.3758502853], [1829.56, 4.01105771632, 68.8437077341], [1642.92, 0.35564102554, 67.6680515665], [1584.85, 3.16267171762, 225.8292684102], [1848.655, 2.91111759376, 909.8187330546], [1632.43, 4.23061792837, 22.0914005278], [1401.39, 1.39084023521, 265.9892934775], [1403.717, 5.63563637532, 4.4534181249], [1655.866, 1.96431297431, 79.2350166922], [1248.978, 5.44027380866, 54.1746707478], [1563.447, 1.47917835549, 112.9146342051], [1248.054, 4.88984353601, 479.2883889155], [1197.439, 2.52185744943, 145.6310438715], [1506.952, 5.24186185583, 181.7583419392], [1481.746, 5.66203046912, 152.5321425512], [1438.838, 1.53046287618, 447.7958195265], [1408.514, 4.41921749601, 462.0229135281], [1477.112, 4.32214690647, 256.5399405065], [1228.314, 5.9770333104, 59.8037450403], [1249.958, 6.24484546141, 160.6088973985], [906.468, 5.62025869483, 74.6697239827], [1090.681, 4.15393813845, 77.962992305], [844.931, 0.12943398585, 82.8583534146], [900.363, 2.37315925843, 74.8934731519], [1071.957, 1.74286714339, 528.2064923863], [689.708, 3.08097059985, 69.3649725959], [593.798, 4.50074517056, 8.0767548473], [718.559, 4.00047509264, 128.9562693151], [699.574, 0.03987168068, 143.6253063014], [575.656, 5.89552672641, 66.70484372], [759.004, 2.13700057433, 692.5874843535], [710.449, 5.41605755095, 218.4069048687], [548.672, 5.6281149697, 3.1813937377], [651.632, 4.42340061551, 18.1592472647], [539.825, 6.20788667166, 71.6002048296], [544.539, 5.69375108253, 203.7378678824], [710.276, 4.21967260022, 381.6122406683], [593.819, 3.83805798523, 32.1951448046], [710.134, 4.48972171999, 293.188503436], [705.482, 0.45521177725, 835.0371344873], [588.0, 5.08252923316, 186.2117600641], [598.231, 0.35815291076, 269.9214467406], [641.914, 2.71127457036, 87.3117715395], [495.621, 2.65094755989, 200.7689224658], [630.252, 4.46146214548, 275.5505210331], [575.195, 5.57862480486, 2.4476805548], [569.87, 1.6393093274, 77.2292791221], [556.672, 1.07231961344, 1059.3819301892], [449.439, 0.27981733949, 617.8058857862], [463.608, 1.43448297993, 297.6419215609], [436.547, 0.52802035072, 209.3669421749], [463.938, 2.35443114417, 211.8146227297], [435.943, 2.10077211065, 1514.2912967165], [515.534, 3.23274579379, 284.1485407422], [454.879, 4.08364210459, 99.1606209555], [477.43, 2.89397217998, 39.3568759152], [542.331, 5.39481705077, 278.5194664497], [410.087, 3.04968860441, 404.5067903482], [367.848, 0.71159607058, 125.9873238985], [503.096, 5.83931251717, 191.2076949102], [487.532, 0.06402454583, 60.7669528868], [455.043, 2.59321186669, 490.3340891794], [436.291, 2.08183813746, 51.2057253312], [435.803, 2.79445203085, 75.7448064138], [323.546, 4.82899980859, 195.1398481733], [359.363, 0.00868012078, 35.4247226521], [429.314, 3.08031550488, 41.1019810544], [320.021, 5.48625497747, 14.977853527], [414.331, 0.09012800478, 258.0244132148], [379.715, 0.05832815311, 378.6432952517], [420.062, 2.25393983318, 81.0013736908], [357.721, 4.71414305625, 173.9422195228], [358.922, 0.35213227553, 426.598190876], [405.41, 6.12263257999, 24.3790223882], [365.158, 5.59483211224, 255.0554677982], [308.102, 3.92355394354, 116.4260963429], [325.66, 4.71996698332, 134.5853436076], [292.781, 3.9952119483, 72.3339180125], [386.543, 0.68619006966, 230.5645708254], [305.686, 3.76108783519, 344.7030453079], [286.972, 1.8499033531, 153.4953503977], [353.64, 4.65717995107, 329.8370663655], [302.051, 0.13190003806, 565.1156877467], [241.128, 1.60454142389, 81.3738807063], [249.829, 4.24205256241, 75.3028634291], [245.063, 5.94905404273, 20.6069278195], [248.277, 1.06282887181, 105.4922706636], [305.353, 2.55534744586, 6208.2942514241], [296.328, 4.21100245276, 1364.7280995819], [219.938, 2.96119055727, 120.358249606], [233.564, 2.97074409938, 46.2097904851], [262.422, 3.83652250971, 831.1049812242], [233.546, 4.4811700614, 628.8515860501], [187.432, 3.03529190348, 135.5485514541], [216.776, 3.42907414802, 241.6102710893], [255.76, 1.1670789346, 177.8743727859], [220.458, 0.1963349229, 180.2738692309], [224.519, 0.40677777819, 114.3991069134], [205.398, 2.30380942634, 259.5088859231], [211.106, 4.93079982424, 103.0927742186], [175.758, 5.50822822216, 7.1135470008], [188.512, 2.23588941288, 5.4166259714], [171.718, 5.21730232334, 41.6444977756], [176.136, 1.95958319897, 756.3233826569], [170.447, 4.94978757413, 206.1855484372], [169.454, 4.04319823722, 55.6591434561], [219.015, 0.24790282027, 294.6729761443], [187.768, 2.04538775456, 408.4389436113], [182.258, 0.70728384467, 391.1734682239], [192.095, 5.76718231319, 291.7040307277], [153.684, 4.70659406659, 543.0242872189], [170.043, 4.50995820508, 288.0806940053], [164.097, 5.22527540372, 67.3592350258], [194.341, 6.1169036471, 414.0680179038], [168.027, 5.25810639105, 518.6452648307], [156.641, 0.66304836778, 220.4126424388], [182.33, 0.78383856974, 417.0369633204], [167.462, 4.92241597775, 422.6660376129], [170.77, 2.30927162659, 98.8999885246], [161.678, 3.27259601116, 443.8636662634], [132.763, 2.88875442023, 373.9079928365], [161.14, 3.82341391177, 451.9404211107], [179.292, 4.82405681293, 366.485629295], [178.153, 3.98026039043, 10138.5039476437], [141.929, 1.26972581554, 159.1244246902], [153.75, 4.27847681414, 45.5766510387], [161.513, 4.99545008738, 73.8183907208], [146.315, 2.65664902119, 465.9550667912], 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0.82465326137, 142.4496501338], [5.816, 4.63029217647, 49.5088043018], [5.608, 0.66268449799, 58.1068240109], [5.966, 2.48916255408, 373.0142209592], [5.71, 2.23566160404, 80.1982245387], [5.272, 5.06746739956, 440.6822725257], [5.162, 4.36457872885, 977.4867846211], [5.428, 0.85181859845, 546.956440482], [5.766, 0.34229025692, 536.8045120954], [5.924, 5.48443563529, 76.4785195967], [5.34, 3.730731164, 23.5758732361], [5.174, 4.13873402677, 132.8884225782], [5.31, 6.14059082194, 39.6175083461], [5.79, 3.39593613152, 458.090760265], [5.007, 4.25821412289, 522.5774180938], [4.967, 4.79184817938, 387.2413149608], [5.183, 3.25775152471, 561.1835344836], [4.602, 1.69262282455, 152.5321425512], [5.302, 1.83522660093, 124.2904028691], [5.005, 0.3663056595, 60.7669528868], [4.454, 2.30288945184, 312.4597163935], [4.457, 0.45775730382, 33.1371007917], [5.722, 0.89523844278, 81.8951455681], [5.842, 0.92039543147, 20.6069278195], [5.743, 0.66226484448, 38.1330356378], [4.255, 3.55373860346, 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4.27510031656, 350.3321196004], [2.73, 1.98552777251, 82.8583534146], [2.857, 3.08706426922, 216.4804891757], [3.365, 3.67691210011, 661.0949149645], [2.925, 1.43646759644, 381.6122406683], [2.753, 0.39468041761, 33.6796175129], [2.756, 4.6267249884, 1357.6145525811], [3.45, 2.12911756067, 685.4739373527], [2.571, 5.92862393284, 89.7594520943], [2.677, 0.76342313946, 486.4019359163], [2.689, 4.16436463826, 235.3904959658], [2.646, 3.81808560938, 550.8885937451], [3.369, 3.17071565345, 108.4612160802], [2.613, 5.68333838067, 24.3790223882], [2.736, 1.87107584495, 529.6909650946], [2.606, 4.36605237304, 1080.5795588397], [2.407, 3.07343136742, 391.1734682239], [2.446, 5.7384638154, 535.9107402181], [2.334, 5.18878243102, 1059.3819301892], [2.568, 1.09886876369, 913.0001267923], [2.236, 6.10115874045, 140.001969579], [3.053, 5.35047433775, 681.5417840896]], [[1164.382, 4.73453291602, 74.7815985673], [212.367, 3.34255734999, 63.7358983034], [196.408, 2.98004616318, 70.8494453042], 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127.4717966068], [5.768, 4.22672716593, 373.0142209592], [5.022, 1.84154937974, 202.2533951741], [4.692, 2.7840457544, 120.358249606], [5.087, 0.77745294804, 62.2514255951], [4.16, 1.83820502779, 72.3339180125], [3.922, 1.88900691473, 209.3669421749], [5.201, 4.15791319343, 195.1398481733], [3.636, 1.99709010456, 65.2203710117], [3.582, 3.92592140377, 124.2904028691], [3.808, 1.04818660873, 92.940845832], [4.241, 3.95755998904, 9.5612275556], [3.497, 1.54139696251, 148.0787244263], [3.195, 2.98608971329, 387.2413149608], [3.95, 1.85721204932, 152.7445908723], [3.277, 1.40881404192, 351.8165923087], [3.605, 1.17366167402, 153.4953503977], [2.94, 6.03594958459, 12.5301729722], [2.744, 5.64674283515, 134.5853436076], [2.8, 0.79480255927, 572.2292347475], [3.054, 5.84310939105, 160.6088973985], [2.662, 1.98593312104, 450.9772132642], [2.7, 2.77036653988, 213.299095438], [2.323, 1.67918985468, 358.9301393095], [2.254, 5.77129530133, 84.3428261229], [2.291, 4.814246016, 536.8045120954], [2.213, 2.20360299816, 465.9550667912]], [[52.996, 3.00838033088, 74.7815985673], [9.887, 1.91399083603, 56.6223513026], [7.008, 5.08677527404, 11.0457002639], [6.728, 5.42924958121, 149.5631971346], [3.703, 5.22728581851, 131.4039498699], [3.361, 1.29695290266, 85.8272988312], [2.664, 0.44064577837, 63.7358983034], [2.309, 0.92380720934, 145.6310438715], [2.383, 6.21390585593, 358.9301393095], [2.288, 2.23425399117, 440.6822725257], [3.093, 3.14159265359, 0.0]]]

This table contains Uranus’ periodic terms (all of them) from the planetary theory VSOP87 for the radius vector at the equinox of date (taken from the ‘D’ solution). In Meeus’ book a shortened version can be found in pages 449-451.