Mercury

Class to model Mercury planet.

class pymeeus.Mercury.Mercury

Class Mercury models that planet.

__weakref__

list of weak references to the object (if defined)

static apparent_heliocentric_position(epoch)

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

Parameters:epoch (Epoch) – Epoch to compute Mercury 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 eastern_elongation(epoch)

This method computes the time of the eastern elongation closest to the given epoch, as well as the corresponding maximum elongation angle.

Parameters:epoch (Epoch) – Epoch close to the desired eastern elongation Returns:A tuple with the time when the eastern elongation happens, as an Epoch, and the maximum elongation angle, as an Angle Return type:tuple Raises:TypeError if input value is of wrong type. Raises:ValueError if input epoch outside the -2000/4000 range.

>>> epoch = Epoch(1990, 8, 1.0)
>>> time, elongation = Mercury.eastern_elongation(epoch)
>>> y, m, d = time.get_date()
>>> print(y)
1990
>>> print(m)
8
>>> print(round(d, 4))
11.8514
>>> print(round(elongation, 4))
27.4201

static geocentric_position(epoch)

This method computes the geocentric position of Mercury (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 = Mercury.geocentric_position(epoch)
>>> print(ra.ra_str(n_dec=1))
16h 33' 59.3''
>>> print(dec.dms_str(n_dec=1))
-20d 53' 31.6''
>>> print(elon.dms_str(n_dec=1))
18d 24' 29.8''

static geometric_heliocentric_position(epoch, tofk5=True)

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

Parameters:

• epoch (Epoch) – Epoch to compute Mercury 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 = Mercury.geometric_heliocentric_position(epoch)
>>> print(round(l.to_positive(), 4))
287.4887
>>> print(round(b, 4))
-6.0086
>>> print(round(r, 5))
0.45113

static inferior_conjunction(epoch)

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

Parameters:epoch (Epoch) – Epoch close to the desired inferior conjunction Returns:The time when the inferior 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)
>>> conjunction = Mercury.inferior_conjunction(epoch)
>>> y, m, d = conjunction.get_date()
>>> print(y)
1993
>>> print(m)
11
>>> print(round(d, 4))
6.1449
>>> epoch = Epoch(1631, 10, 1.0)
>>> conjunction = Mercury.inferior_conjunction(epoch)
>>> y, m, d = conjunction.get_date()
>>> print(y)
1631
>>> print(m)
11
>>> print(round(d, 3))
7.306

static magnitude(sun_dist, earth_dist, phase_angle)

This function computes the approximate magnitude of Mercury.

Parameters:

• sun_dist (float) – Distance from Mercury to Sun, in Astronomical Units
• earth_dist (float) – Distance Mercury to Earth, in Astronomical Units
• phase_angle (float, Angle) – Mercury phase angle

Returns:

Mercury’s magnitude

Return type:

float

Raises:

TypeError if input values are of wrong type.

static orbital_elements_j2000(epoch)

This method computes the orbital elements of Mercury 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 = Mercury.orbital_elements_j2000(epoch)
>>> print(round(l, 6))
202.579453
>>> print(round(a, 8))
0.38709831
>>> print(round(e, 7))
0.2056451
>>> print(round(i, 6))
7.001089
>>> print(round(ome, 5))
48.24873
>>> print(round(arg, 6))
29.311401

static orbital_elements_mean_equinox(epoch)

This method computes the orbital elements of Mercury 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 = Mercury.orbital_elements_mean_equinox(epoch)
>>> print(round(l, 6))
203.494701
>>> print(round(a, 8))
0.38709831
>>> print(round(e, 7))
0.2056451
>>> print(round(i, 6))
7.006171
>>> print(round(ome, 5))
49.10765
>>> print(round(arg, 6))
29.367732

static passage_nodes(epoch, ascending=True)

This function computes the time of passage by the nodes (ascending or descending) of Mercury, 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 = Mercury.passage_nodes(epoch)
>>> year, month, day = time.get_date()
>>> print(year)
2018
>>> print(month)
11
>>> print(round(day, 1))
24.7
>>> print(round(r, 4))
0.3143

static perihelion_aphelion(epoch, perihelion=True)

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.

>>> epoch = Epoch(2000, 1, 1.0)
>>> e = Mercury.perihelion_aphelion(epoch)
>>> y, m, d, h, mi, s = e.get_full_date()
>>> print(y)
2000
>>> print(m)
2
>>> print(d)
15
>>> print(h)
18
>>> epoch = Epoch(2000, 3, 1.0)
>>> e = Mercury.perihelion_aphelion(epoch, perihelion=False)
>>> y, m, d, h, mi, s = e.get_full_date()
>>> print(y)
2000
>>> print(m)
3
>>> print(d)
30
>>> print(h)
17

static station_longitude_1(epoch)

This method computes the time of the 1st station in longitude (i.e. when the planet is stationary and begins to move westward - retrograde - among the starts) closest to the given epoch.

Parameters:epoch (Epoch) – Epoch close to the desired inferior conjunction Returns:Time when the 1st statin in longitude 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)
>>> sta1 = Mercury.station_longitude_1(epoch)
>>> y, m, d = sta1.get_date()
>>> print(y)
1993
>>> print(m)
10
>>> print(round(d, 4))
25.9358

static station_longitude_2(epoch)

This method computes the time of the 2nd station in longitude (i.e. when the planet is stationary and begins to move eastward - prograde - among the starts) closest to the given epoch.

Parameters:epoch (Epoch) – Epoch close to the desired inferior conjunction Returns:Time when the 2nd station in longitude 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)
>>> sta2 = Mercury.station_longitude_2(epoch)
>>> y, m, d = sta2.get_date()
>>> print(y)
1993
>>> print(m)
11
>>> print(round(d, 4))
15.0724

static superior_conjunction(epoch)

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

Parameters:epoch (Epoch) – Epoch close to the desired superior conjunction Returns:The time when the superior 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)
>>> conjunction = Mercury.superior_conjunction(epoch)
>>> y, m, d = conjunction.get_date()
>>> print(y)
1993
>>> print(m)
8
>>> print(round(d, 4))
29.3301

static western_elongation(epoch)

This method computes the time of the western elongation closest to the given epoch, as well as the corresponding maximum elongation angle.

Parameters:epoch (Epoch) – Epoch close to the desired western elongation Returns:A tuple with the time when the western elongation happens, as an Epoch, and the maximum elongation angle, as an Angle Return type:tuple Raises:TypeError if input value is of wrong type. Raises:ValueError if input epoch outside the -2000/4000 range.

>>> epoch = Epoch(1993, 11, 1.0)
>>> time, elongation = Mercury.western_elongation(epoch)
>>> y, m, d = time.get_date()
>>> print(y)
1993
>>> print(m)
11
>>> print(round(d, 4))
22.6386
>>> print(round(elongation, 4))
19.7506

pymeeus.Mercury.ORBITAL_ELEM = [[252.250906, 149474.0722491, 0.0003035, 1.8e-08], [0.38709831, 0.0, 0.0, 0.0], [0.20563175, 2.0407e-05, -2.83e-08, -1.8e-10], [7.004986, 0.0018215, -1.81e-05, 5.6e-08], [48.330893, 1.1861883, 0.00017542, 2.15e-07], [77.456119, 1.5564776, 0.00029544, 9e-09]]

This table contains the parameters to compute Mercury’s orbital elements for the mean equinox of date. Based in Table 31.A, page 212

pymeeus.Mercury.ORBITAL_ELEM_J2000 = [[252.250906, 149472.6746358, -5.36e-06, 2e-09], [7.004986, -0.0059516, 8e-07, 4.3e-08], [48.330893, -0.1254227, -8.833e-05, -2e-07], [77.456119, 0.1588643, -1.342e-05, -7e-09]]

This table contains the parameters to compute Mercury’s orbital elements for the standard equinox J2000.0. Based on Table 31.B, page 214

pymeeus.Mercury.VSOP87_B = [[[11737528.962, 1.98357498767, 26087.9031415742], [2388076.996, 5.03738959685, 52175.8062831484], [1222839.532, 3.14159265359, 0.0], [543251.81, 1.79644363963, 78263.70942472259], [129778.77, 4.83232503961, 104351.61256629678], [31866.927, 1.58088495667, 130439.51570787099], [7963.301, 4.60972126348, 156527.41884944518], [2014.189, 1.35324164694, 182615.3219910194], [513.953, 4.37835409309, 208703.2251325936], [207.674, 4.91772564073, 27197.2816936676], [208.584, 2.02020294153, 24978.5245894808], [132.013, 1.11908492283, 234791.12827416777], [100.454, 5.65684734206, 20426.571092422], [121.395, 1.81271752059, 53285.1848352418], [91.566, 2.28163128692, 25028.521211385], [99.214, 0.09391887097, 51116.4243529592], [94.574, 1.24184909234, 31749.2351907264], [78.785, 4.4072588, 57837.1383323006], [77.747, 0.52557061749, 1059.3819301892], [84.264, 5.08510388314, 51066.427731055], [49.948, 3.49752993688, 5661.3320491522], [46.454, 3.23739270829, 77204.32749453338], [44.767, 4.87849816734, 79373.087976816], [40.766, 2.46558332165, 46514.4742339962], [37.378, 4.45768797944, 4551.9534970588], [34.082, 4.14209210575, 260879.03141574195], [35.911, 1.09057317869, 1109.3785520934], [31.953, 1.18516389747, 83925.0414738748], [30.954, 3.5032802721, 21535.9496445154], [31.808, 2.41474588439, 47623.8527860896], [28.691, 1.84828614269, 77154.33087262919], [25.765, 2.77593370583, 27043.5028831828], [25.199, 3.5906226646, 27147.28507176339], [20.244, 3.06833797229, 51646.11531805379], [18.591, 5.5842727444, 73711.75592766379], [16.971, 0.02791276551, 103292.23063610759], [20.099, 4.06593040301, 25132.3033999656], [17.002, 6.13739392193, 41962.5207369374], [14.984, 1.64717994813, 105460.99111839019], [14.186, 0.33074185469, 10213.285546211], [15.577, 6.07693643204, 53131.406024757], [15.795, 3.79629547258, 529.6909650946], [14.011, 5.52786452723, 72602.37737557039], [12.309, 3.16626298867, 14765.2390432698], [11.261, 0.11326534696, 13521.7514415914], [12.448, 4.05109331029, 39609.6545831656], [13.044, 3.48016433624, 37410.5672398786], [11.042, 4.23192662377, 110012.94461544899], [11.152, 0.5565846182, 63498.47038145279], [10.717, 1.53686240986, 25661.3049506982], [10.213, 2.87881017166, 12566.1516999828], [9.924, 0.94824584866, 65697.55772473979], [11.047, 5.79741510309, 51749.20809227239], [10.46, 5.82962163777, 50586.73338786459], [9.774, 1.6627176265, 24498.8302462904], [9.412, 1.82364886045, 15874.6175953632], [12.866, 4.81650804018, 30639.856638633], [9.123, 4.8860439411, 103242.2340142034], [9.011, 1.04262074744, 426.598190876], [8.735, 3.04132552652, 68050.42387851159], [8.491, 1.05130498445, 1589.0728952838], [8.835, 0.88128343813, 286966.9345573162], [8.823, 5.81343662067, 11322.6640983044], [8.196, 0.84015129448, 51220.20654153979], [7.64, 3.43584035231, 36301.18868778519], [9.175, 6.16059719071, 77734.01845962799], [8.897, 0.39691733779, 53235.18821333759], [7.253, 2.37179970828, 99799.65906923798], [7.104, 5.73557153523, 26617.5941066688], [8.322, 5.271571288, 25558.2121764796], [6.578, 2.66741925057, 52705.49724824299], [5.825, 6.25072627414, 33326.5787331742], [5.625, 3.0803000023, 129380.13377768178], [5.295, 1.35863387771, 45892.73043315699], [5.116, 2.67576280851, 76674.63652943878], [5.035, 2.66614676257, 77837.11123384659], [4.762, 4.68983196238, 131548.89425996438], [5.714, 2.87339047644, 79219.3091663312], [5.601, 5.3719088515, 955.5997416086], [4.965, 3.47619946892, 59414.4818747484], [5.468, 1.43781223143, 56727.7597802072], [4.08, 4.01667499, 91785.46086631398], [3.971, 5.44452771841, 6283.0758499914], [4.063, 5.64291749144, 26068.2333806744], [3.877, 3.60887633874, 89586.37352302698], [4.047, 5.95235957644, 38654.05484155699], [4.064, 1.46283079734, 26107.57290247399], [3.681, 0.47365215122, 62389.09182935939], [4.247, 6.23163402945, 40853.142184844], [3.694, 2.75543227024, 7238.6755916], [3.348, 5.91868911857, 43071.8992890308], [4.475, 2.28937952702, 98690.28051714458], [3.115, 0.74943919509, 32858.61374281979], [3.1, 3.35203735852, 19804.8272915828], [3.215, 6.11374633777, 94138.32702008578], [3.558, 0.98820289555, 136100.84775702318], [2.908, 4.06284172838, 26514.5013324502], [2.799, 1.63602212056, 129330.13715577759], [2.8, 3.88358619611, 77308.10968311399], [2.68, 4.48235268618, 71980.63357473118], [2.767, 4.12700796923, 27676.976036858], [3.285, 0.3939808152, 18849.2275499742], [3.29, 2.93487892542, 103821.92160120218], [3.048, 0.67698362024, 9103.9069941176], [2.484, 5.4233220496, 125887.56221081219], [2.663, 1.70280488847, 16983.9961474566], [2.791, 2.76839978418, 26091.7844769322], [2.747, 5.75135788288, 19317.1925403286], [2.676, 5.73635682216, 78793.40038981718], [2.71, 4.3127490272, 58946.51688439399], [2.877, 3.45410696457, 79323.09135491178], [2.787, 4.34025817469, 26084.0218062162], [2.097, 2.09090732812, 23869.1460373874], [2.297, 3.9032125153, 313054.83769889036], [2.535, 3.05170623483, 69159.80243060499], [2.211, 4.651202109, 28306.66024576099], [1.912, 5.78403850812, 102762.53967101299], [2.265, 3.34478937379, 22645.32819660879], [1.817, 5.74251490625, 103925.01437542078], [1.961, 5.94577427093, 105307.21230790539], [1.922, 4.43763124338, 82815.66292178139], [1.667, 4.51887419928, 52195.47604404819], [1.771, 6.12278757535, 155468.036919256], [1.515, 1.7245811583, 54394.56338733519], [1.585, 0.23900687506, 85502.38501632259], [1.477, 4.73359545019, 29530.4780865396], [1.469, 1.44574704924, 157636.79740153858], [1.653, 2.41345886386, 52156.1365222486], [1.377, 0.59981573116, 26080.78959457339], [1.43, 0.7841694399, 117873.36400788819], [1.68, 3.42684715134, 6770.7106012456], [1.604, 4.52048871587, 3442.5749449654], [1.345, 0.31857167988, 51535.90899683439], [1.357, 3.17349203273, 25874.6040461362], [1.25, 2.33380858079, 25448.00585526019], [1.196, 2.09277609512, 48733.23133818299], [1.194, 0.36376300747, 115674.27666460119], [1.443, 2.73186009497, 64741.95798313119], [1.375, 5.32672767568, 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23969.1392811958], [0.002, 5.1209935622, 51322.60990139639], [0.002, 2.80140642811, 62389.09182935939], [0.002, 2.60965333457, 52602.4044740244], [0.002, 2.72257468038, 7994.5284420242], [0.002, 5.84222491614, 103821.92160120218], [0.002, 6.0451587872, 25035.6347583858], [0.001, 2.34997564292, 85502.38501632259], [0.001, 0.17409967102, 131498.89763806018], [0.001, 3.11496551907, 25934.1243310894], [0.002, 5.12532278095, 78267.59076008058], [0.001, 5.49175475674, 104331.94280539699], [0.001, 0.44808516059, 78050.41032928458], [0.002, 1.92656028088, 102132.85546210999], [0.002, 1.93198050022, 853.196381752], [0.001, 2.42972717822, 94138.32702008578], [0.002, 5.13550087739, 6770.7106012456], [0.001, 4.6544150087, 78259.82808936459], [0.001, 3.9968745549, 188276.6540401716], [0.001, 4.3906969233, 104371.28232719658], [0.001, 1.64083661387, 78283.37918562238], [0.001, 1.50558734911, 78378.1487134078], [0.002, 6.27597485867, 91785.46086631398], [0.001, 4.00786092689, 78244.0396638228], [0.001, 1.70741856509, 28206.6670019526], [0.001, 5.31900403501, 78149.27013603736], [0.001, 1.40205887414, 44937.1306915484], [0.001, 1.03752853909, 104347.73123093879], [0.001, 0.66520680194, 419.4846438752], [0.001, 2.46437105095, 104355.49390165479], [0.001, 0.81835364761, 35191.8101356918], [0.001, 0.3378067084, 88476.99497093359], [0.001, 6.0834623193, 70269.18098269838], [0.001, 1.86810476133, 125887.56221081219], [0.001, 2.1046897466, 25619.9381512198], [0.001, 3.99494842792, 71025.0338331226], [0.001, 0.57714874874, 71980.63357473118], [0.001, 5.66312942513, 97580.90196505119], [0.001, 3.06688416266, 129909.82474277639], [0.001, 5.66709359706, 433.7117378768], [0.001, 0.91634007063, 103925.01437542078], [0.001, 6.02359186416, 181555.94006083018], [0.001, 1.44980129997, 26727.8004278882], [0.001, 1.4544292039, 207593.8465805002], [0.001, 1.12941846578, 60055.89543648739], [0.001, 1.16964771504, 134991.4692049298]], [[235.423, 0.35387524604, 26087.9031415742], [160.537, 0.0, 0.0], [18.904, 4.36275460261, 52175.8062831484], [6.376, 2.50715381439, 78263.70942472259], [4.58, 6.14257817571, 104351.61256629678], [3.061, 3.12497552681, 130439.51570787099], [1.732, 6.26642412058, 156527.41884944518], [0.857, 3.07673166705, 182615.3219910194], [0.384, 6.14815319932, 208703.2251325936], [0.159, 2.9243737832, 234791.12827416777], [0.062, 5.97292432097, 260879.03141574195], [0.054, 3.31612529961, 27197.2816936676], [0.023, 2.74287679452, 286966.9345573162], [0.017, 0.77798463435, 24978.5245894808], [0.012, 6.24116133415, 53285.1848352418], [0.008, 5.79551081392, 313054.83769889036], [0.006, 5.81555175073, 31749.2351907264], [0.004, 4.67212195693, 51116.4243529592], [0.004, 3.36833718999, 77154.33087262919], [0.003, 0.26522113546, 103242.2340142034], [0.003, 0.79794705473, 27043.5028831828], [0.004, 0.82832725003, 21535.9496445154], [0.002, 2.57068697582, 339142.7408404646], [0.002, 1.8230939704, 1109.3785520934], [0.002, 0.74986942696, 47623.8527860896], [0.002, 3.61692083154, 50586.73338786459], [0.002, 4.70766241226, 51066.427731055], [0.001, 3.3368854909, 129330.13715577759], [0.001, 2.64641192612, 57837.1383323006], [0.001, 4.93247555987, 25558.2121764796], [0.002, 5.00344393497, 20426.571092422], [0.002, 4.80841415889, 25028.521211385], [0.002, 5.85039338716, 1059.3819301892], [0.001, 1.85116662745, 37410.5672398786], [0.002, 3.97317842825, 25132.3033999656], [0.001, 2.144942913, 79373.087976816], [0.001, 2.53223701416, 46514.4742339962], [0.001, 5.8492163243, 5661.3320491522], [0.001, 3.81958470276, 53131.406024757], [0.001, 1.05410669937, 1589.0728952838], [0.001, 1.39436798574, 51646.11531805379], [0.001, 0.36358097174, 22645.32819660879], [0.001, 2.7660997227, 28306.66024576099], [0.001, 3.67689055309, 4551.9534970588], [0.001, 5.39398540975, 32858.61374281979], [0.001, 3.7357912717, 24498.8302462904], [0.001, 0.60289607514, 26068.2333806744], [0.001, 5.78167324673, 26107.57290247399], [0.001, 3.81913361795, 26091.7844769322], [0.001, 5.64455351094, 365230.6439820388], [0.001, 4.87981157471, 10213.285546211], [0.001, 2.44816565966, 26084.0218062162], [0.0, 3.45284067711, 105460.99111839019]], [[4.276, 1.74579932115, 26087.9031415742], [1.023, 3.14159265359, 0.0], [0.425, 4.03419509143, 52175.8062831484], [0.257, 0.20643590425, 78263.70942472259], [0.116, 3.75237354024, 104351.61256629678], [0.073, 1.18210375402, 130439.51570787099], [0.051, 4.54581086194, 156527.41884944518], [0.031, 1.44226942756, 182615.3219910194], [0.016, 4.56372679459, 208703.2251325936], [0.008, 1.34684622635, 234791.12827416777], [0.003, 4.40269422669, 260879.03141574195], [0.001, 4.69096566687, 27197.2816936676], [0.001, 1.16082903756, 286966.9345573162], [0.0, 1.44918128781, 24978.5245894808], [0.0, 4.1804627869, 313054.83769889036]], [[0.106, 3.94555784256, 26087.9031415742], [0.075, 3.14159265359, 0.0], [0.022, 1.30514874546, 52175.8062831484], [0.007, 4.99717136857, 78263.70942472259], [0.004, 2.05662545278, 104351.61256629678], [0.002, 5.43162058632, 130439.51570787099], [0.001, 2.68052517331, 156527.41884944518], [0.001, 6.00841870284, 182615.3219910194], [0.0, 2.85941734701, 208703.2251325936], [0.0, 5.96962108614, 234791.12827416777]]]

This table contains Mercury’s 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 415-416.

pymeeus.Mercury.VSOP87_L = [[[440250710.144, 0.0, 0.0], [40989414.976, 1.48302034194, 26087.9031415742], [5046294.199, 4.4778548954, 52175.8062831484], [855346.843, 1.16520322351, 78263.70942472259], [165590.362, 4.11969163181, 104351.61256629678], [34561.897, 0.77930765817, 130439.51570787099], [7583.476, 3.7134840051, 156527.41884944518], [3559.74, 1.51202669419, 1109.3785520934], [1726.012, 0.35832239908, 182615.3219910194], [1803.463, 4.1033317841, 5661.3320491522], [1364.682, 4.59918318745, 27197.2816936676], [1589.923, 2.99510417815, 25028.521211385], [1017.332, 0.8803143904, 31749.2351907264], [714.182, 1.54144865265, 24978.5245894808], [643.759, 5.30266110787, 21535.9496445154], [404.2, 3.28228847025, 208703.2251325936], [352.441, 5.24156297101, 20426.571092422], [343.313, 5.76531885335, 955.5997416086], [339.214, 5.86327765, 25558.2121764796], [451.137, 6.04989275289, 51116.4243529592], [325.335, 1.3367433478, 53285.1848352418], [259.587, 0.98732428184, 4551.9534970588], [345.212, 2.79211901539, 15874.6175953632], [272.947, 2.49451163975, 529.6909650946], [234.83, 0.266721189, 11322.6640983044], [238.793, 0.11343953378, 1059.3819301892], [264.336, 3.91705094013, 57837.1383323006], [216.645, 0.65987207348, 13521.7514415914], [183.359, 2.62878670784, 27043.5028831828], [175.965, 4.53636829858, 51066.427731055], [181.629, 2.43413502466, 25661.3049506982], [208.995, 2.09178234008, 47623.8527860896], [172.643, 2.45200164173, 24498.8302462904], [142.316, 3.36003948842, 37410.5672398786], [137.942, 0.29098447849, 10213.285546211], [118.233, 2.78149786369, 77204.32749453338], [96.86, 6.2039820274, 234791.12827416777], [125.219, 3.72079804425, 39609.6545831656], [86.819, 2.64219349385, 51646.11531805379], [86.723, 1.9595304265, 46514.4742339962], [88.329, 5.41338795963, 26617.5941066688], [106.422, 4.20572116254, 19804.8272915828], [89.987, 5.85243631094, 41962.5207369374], [84.971, 4.33100364958, 79373.087976816], [69.247, 4.19446437496, 19.66976089979], [63.463, 3.14700877722, 7238.6755916], [68.493, 0.63424819267, 83925.0414738748], [69.729, 3.57201709671, 25132.3033999656], [59.481, 2.74692752, 16983.9961474566], [64.83, 0.0476292581, 33326.5787331742], [55.376, 4.05312663019, 30639.856638633], [54.442, 3.14331542453, 27147.28507176339], [47.56, 5.49722099211, 3.881335358], [49.567, 3.98985863874, 6770.7106012456], [56.531, 5.11920557675, 73711.75592766379], [41.764, 5.64185159566, 53131.406024757], [51.458, 5.47786463494, 50586.73338786459], [44.744, 1.22366857463, 77154.33087262919], [41.882, 5.19309298528, 6283.0758499914], [38.045, 2.43117327523, 12566.1516999828], [35.627, 0.81390126585, 32858.61374281979], [48.007, 5.49260554912, 51749.20809227239], [35.392, 3.36964859355, 36301.18868778519], [33.951, 2.78618091049, 14765.2390432698], [30.56, 5.84045074182, 43071.8992890308], [35.964, 1.4238083863, 2218.7571041868], [34.044, 0.47470299167, 65697.55772473979], [30.8, 5.77017310191, 103292.23063610759], [28.496, 0.65048992658, 426.598190876], [26.215, 5.24158618719, 22645.32819660879], [26.253, 0.64807043102, 1589.0728952838], [29.538, 0.69771244088, 213.299095438], [27.504, 0.98010127839, 45892.73043315699], [22.347, 5.65335125838, 77734.01845962799], [22.047, 4.93398225193, 72602.37737557039], [22.275, 2.17909842576, 52705.49724824299], [24.252, 4.39994170609, 7.1135470008], [26.751, 1.06145361792, 3442.5749449654], [23.656, 2.84168536986, 260879.03141574195], [22.908, 2.58462026514, 68050.42387851159], [27.086, 0.08501738669, 63498.47038145279], [22.247, 3.22418265191, 25448.00585526019], [17.803, 3.61202297483, 110012.94461544899], [22.407, 1.02520094825, 105460.99111839019], [17.576, 4.71742326981, 25874.6040461362], [18.586, 4.52709871258, 28306.66024576099], [14.176, 6.12394176563, 53235.18821333759], [14.186, 5.14246797066, 26068.2333806744], [17.244, 0.28394746813, 51220.20654153979], [17.176, 3.26084092971, 153.7788104848], [14.938, 1.83542009339, 99799.65906923798], [13.387, 0.76564655407, 56727.7597802072], [13.978, 2.30193139916, 76674.63652943878], [14.428, 0.96646356501, 26107.57290247399], [11.99, 6.20492907598, 18849.2275499742], [14.381, 1.90956715654, 23969.1392811958], [11.233, 2.04817126136, 32370.9789915656], [13.392, 4.51750784605, 26080.78959457339], [11.632, 2.3849686026, 79219.3091663312], [12.412, 2.22280944169, 77837.11123384659], [9.95, 2.0459444888, 48733.23133818299], [9.803, 2.26706433546, 26091.7844769322], [9.362, 5.44291958209, 38654.05484155699], [9.747, 3.83976857418, 26084.0218062162], [9.264, 4.02987000812, 467.9649903544], [8.961, 0.11062526114, 62389.09182935939], [11.543, 4.17789167759, 103242.2340142034], [11.146, 3.78292300417, 26301.2022370122], [9.677, 2.98527809776, 59414.4818747484], [8.977, 3.47888073089, 91785.46086631398], [9.664, 5.77941968495, 25938.3399444396], [8.855, 2.84672636028, 25035.6347583858], [8.181, 5.77857196635, 40853.142184844], [8.033, 2.45692824195, 129380.13377768178], [8.343, 5.34499871294, 19317.1925403286], [7.425, 4.7116033039, 6.62855890001], [9.001, 6.23396256413, 25021.4076643842], [8.126, 1.12294634635, 26095.016688575], [6.568, 3.66248946629, 26514.5013324502], [7.038, 3.99035923761, 71980.63357473118], [6.956, 1.62821260299, 23869.1460373874], [7.595, 0.18334396433, 12432.0426503978], [6.061, 3.67044794062, 27676.976036858], [5.896, 5.57171141866, 94138.32702008578], [5.716, 5.18204203484, 78793.40038981718], [5.855, 2.14311779301, 20760.4270331914], [5.681, 1.60727624525, 98690.28051714458], [5.788, 2.3546749239, 103821.92160120218], [5.121, 3.77832929907, 58946.51688439399], [5.873, 5.76210244486, 286966.9345573162], [5.858, 6.12538452806, 26011.6370702986], [5.215, 3.29186833997, 38519.945791972], [6.0, 0.00057044073, 51535.90899683439], [4.647, 0.29020584575, 136100.84775702318], [5.787, 4.44783057272, 19406.6782881746], [5.908, 4.12195491631, 29530.4780865396], [5.918, 3.98930701135, 131548.89425996438], [5.728, 3.02314979708, 89586.37352302698], [3.928, 4.8143793369, 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3.84680432548, 26080.78959457339], [0.001, 6.07111696987, 102762.53967101299], [0.0, 0.59142287644, 73711.75592766379], [0.001, 5.84438975852, 105307.21230790539], [0.001, 2.82906439989, 24498.8302462904]], [[114.078, 3.14159265359, 0.0], [3.247, 2.02848007619, 26087.9031415742], [1.914, 1.41731803758, 78263.70942472259], [1.727, 4.50137643801, 52175.8062831484], [1.237, 4.49970181057, 104351.61256629678], [0.645, 1.26591776986, 130439.51570787099], [0.298, 4.30600984981, 156527.41884944518], [0.128, 1.05702505039, 182615.3219910194], [0.051, 4.08566191934, 208703.2251325936], [0.02, 0.82130394681, 234791.12827416777], [0.008, 3.82199615635, 260879.03141574195], [0.003, 0.54824060574, 286966.9345573162], [0.002, 3.52134138964, 313054.83769889036], [0.001, 1.6743511854, 24978.5245894808], [0.002, 4.60718203612, 51066.427731055], [0.001, 1.11396201203, 129330.13715577759], [0.001, 4.35040700322, 103242.2340142034], [0.001, 4.17434865844, 79373.087976816], [0.001, 1.20388630609, 77154.33087262919], [0.001, 4.8467708474, 27197.2816936676], [0.001, 0.29913093643, 339142.7408404646], [0.0, 4.11587125815, 155418.04029735178], [0.0, 0.73293870976, 46514.4742339962], [0.0, 3.68822427283, 21535.9496445154], [0.0, 3.83816920045, 20426.571092422], [0.0, 4.73086078962, 1059.3819301892], [0.0, 0.40939402954, 24498.8302462904], [0.0, 3.30678220146, 365230.6439820388]], [[0.877, 3.14159265359, 0.0], [0.059, 3.37513289692, 52175.8062831484], [0.042, 0.02433099382, 78263.70942472259], [0.043, 4.65071406046, 26087.9031415742], [0.031, 2.98112204944, 104351.61256629678], [0.019, 6.00992467582, 130439.51570787099], [0.01, 2.7569979192, 156527.41884944518], [0.005, 5.79082359724, 182615.3219910194], [0.002, 2.5143544823, 208703.2251325936], [0.001, 5.49411470932, 234791.12827416777], [0.001, 2.23688504668, 260879.03141574195], [0.001, 5.18718589133, 286966.9345573162], [0.0, 2.11315496491, 313054.83769889036]]]

This table contains Mercury’s 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 414-415.

pymeeus.Mercury.VSOP87_R = [[[39528271.652, 0.0, 0.0], [7834131.817, 6.19233722599, 26087.9031415742], [795525.557, 2.95989690096, 52175.8062831484], [121281.763, 6.01064153805, 78263.70942472259], [21921.969, 2.77820093975, 104351.61256629678], [4354.065, 5.82894543257, 130439.51570787099], [918.228, 2.59650562598, 156527.41884944518], [260.033, 3.02817753482, 27197.2816936676], [289.955, 1.42441936951, 25028.521211385], [201.855, 5.6472504035, 182615.3219910194], [201.499, 5.59227724202, 31749.2351907264], [141.98, 6.25264202645, 24978.5245894808], [100.144, 3.73435608689, 21535.9496445154], [77.561, 3.66972526976, 20426.571092422], [63.277, 4.29905918105, 25558.2121764796], [62.951, 4.76588899933, 1059.3819301892], [66.754, 2.52520309182, 5661.3320491522], [75.5, 4.47428642962, 51116.4243529592], [48.266, 6.06824478778, 53285.1848352418], [45.748, 2.41480951648, 208703.2251325936], [35.224, 1.05917802674, 27043.5028831828], [40.815, 2.35882016415, 57837.1383323006], [44.234, 1.21957314874, 15874.6175953632], [33.873, 0.86381554651, 25661.3049506982], [37.203, 0.5173382147, 47623.8527860896], [30.092, 1.79500530627, 37410.5672398786], [28.417, 3.02063625668, 51066.427731055], [30.903, 0.88366335532, 24498.8302462904], [26.105, 2.15021963174, 39609.6545831656], [18.699, 4.96496008403, 11322.6640983044], [21.27, 5.36857139841, 13521.7514415914], [19.422, 4.98378647655, 10213.285546211], [16.941, 3.88765393402, 26617.5941066688], [15.109, 0.44510589948, 46514.4742339962], [17.087, 1.24077764194, 77204.32749453338], [13.94, 1.62573946865, 27147.28507176339], [13.382, 1.07657890477, 51646.11531805379], [15.012, 4.28173463507, 41962.5207369374], [13.977, 4.77056848793, 33326.5787331742], [12.794, 6.06437138766, 1109.3785520934], [13.938, 1.99984876578, 25132.3033999656], [16.297, 2.63293587817, 19804.8272915828], [11.933, 2.36500939134, 4551.9534970588], [10.612, 5.46555460932, 234791.12827416777], [12.754, 2.07613721222, 529.6909650946], [12.069, 2.84997619452, 79373.087976816], [9.069, 1.21263611811, 14765.2390432698], [9.491, 0.83697007534, 12566.1516999828], [9.379, 5.41195286503, 83925.0414738748], [7.499, 2.44636811119, 30639.856638633], [7.463, 5.53233943198, 32858.61374281979], [7.215, 1.17101960691, 16983.9961474566], [8.492, 3.56622930635, 73711.75592766379], [7.109, 5.32625264624, 426.598190876], [6.863, 1.82313992707, 36301.18868778519], [6.56, 4.27818149213, 43071.8992890308], [8.853, 3.87737694074, 50586.73338786459], [6.885, 5.3110852663, 1589.0728952838], [5.943, 4.06893157254, 53131.406024757], [7.653, 3.91505031889, 51749.20809227239], [6.46, 6.07127449283, 77154.33087262919], [5.415, 5.20028107807, 65697.55772473979], [5.186, 3.56743214904, 6283.0758499914], [4.09, 3.6759365871, 22645.32819660879], [4.075, 4.29142111073, 103292.23063610759], [4.428, 5.69109527379, 45892.73043315699], [3.426, 0.64911736234, 52705.49724824299], [3.354, 3.49345105494, 72602.37737557039], [4.12, 1.65386255382, 25448.00585526019], [3.261, 1.03195890028, 68050.42387851159], [3.278, 3.13863529552, 25874.6040461362], [3.054, 4.12578324522, 77734.01845962799], [3.614, 2.95861599353, 28306.66024576099], [2.82, 4.62628436074, 18849.2275499742], [2.746, 4.67880529205, 53235.18821333759], [2.713, 3.5687491398, 26068.2333806744], [2.507, 2.23312085627, 260879.03141574195], [3.044, 5.90613310181, 105460.99111839019], [2.755, 5.67587087632, 26107.57290247399], [2.267, 2.17941340037, 110012.94461544899], [2.274, 0.50173671332, 32370.9789915656], [2.741, 4.75427920262, 63498.47038145279], [2.792, 5.05148206806, 51220.20654153979], [2.557, 2.95114696617, 26080.78959457339], [2.135, 0.84621449019, 76674.63652943878], [1.971, 0.4740749431, 48733.23133818299], [1.965, 1.37420902653, 7238.6755916], [2.526, 0.34535290139, 23969.1392811958], [2.022, 0.33828477567, 99799.65906923798], [1.872, 3.93046425037, 38654.05484155699], [1.873, 0.69327393635, 26091.7844769322], [1.945, 2.37383894182, 6770.7106012456], [1.863, 2.26591720786, 26084.0218062162], [1.75, 5.50651903992, 56727.7597802072], [1.971, 3.77455887616, 19317.1925403286], [1.672, 2.15275897581, 26514.5013324502], [1.703, 4.28965990785, 40853.142184844], [1.657, 4.98021773372, 9103.9069941176], [2.084, 2.19427123968, 26301.2022370122], [1.818, 4.20870869718, 25938.3399444396], [1.78, 0.91702846577, 79219.3091663312], [1.525, 2.15720744047, 27676.976036858], [1.533, 1.54503054415, 955.5997416086], [1.614, 1.27565104562, 25035.6347583858], [1.743, 0.68269002122, 77837.11123384659], [1.389, 4.85102048256, 62389.09182935939], [1.436, 0.05742216761, 23869.1460373874], [1.563, 5.84795233948, 26095.016688575], [1.64, 4.66281337712, 25021.4076643842], [1.552, 2.83910580545, 103242.2340142034], [1.249, 1.97225274067, 91785.46086631398], [1.16, 1.73113341823, 38519.945791972], [1.005, 1.0589831486, 129380.13377768178], [1.041, 2.78036322434, 213.299095438], [1.105, 4.55512109515, 26011.6370702986], [0.979, 2.43870419667, 71980.63357473118], [0.853, 0.56334001923, 20760.4270331914], [0.874, 4.53679970936, 639.897286314], [0.783, 3.69782403005, 78793.40038981718], [0.772, 4.08714349549, 94138.32702008578], [0.797, 0.26237215917, 98690.28051714458], [0.965, 4.70784179954, 51535.90899683439], [0.952, 2.53604676495, 29530.4780865396], [0.773, 2.67893222158, 131548.89425996438], [0.734, 0.8924366949, 103821.92160120218], [0.668, 3.73113394924, 46848.3301747656], [0.828, 2.88184821542, 19406.6782881746], [0.622, 1.05579535631, 59414.4818747484], [0.676, 4.5035759936, 25934.1243310894], [0.602, 5.28399057704, 286966.9345573162], [0.619, 1.44855037685, 79323.09135491178], [0.691, 6.19733262608, 51962.5071877104], [0.563, 5.22994296186, 136100.84775702318], [0.782, 3.25257254691, 50057.04242277], [0.551, 0.33644229836, 52156.1365222486], [0.705, 4.7370537192, 26241.681952059], [0.577, 5.85654734429, 2118.7638603784], [0.517, 3.93195379429, 102762.53967101299], [0.635, 4.87720838965, 12432.0426503978], [0.635, 1.81903685898, 77308.10968311399], [0.543, 1.40877130839, 44937.1306915484], [0.556, 5.44324390449, 85034.42002596818], [0.496, 3.39004132624, 125887.56221081219], [0.546, 4.78005317483, 22747.2907148744], [0.52, 6.00172746972, 52168.69273614759], [0.463, 3.67549187956, 25668.418497699], [0.452, 3.53009000682, 58458.88213313979], [0.474, 5.9433051204, 54394.56338733519], [0.559, 2.44355554028, 52195.47604404819], [0.418, 3.73369494476, 103925.01437542078], [0.397, 0.6901460802, 64741.95798313119], [0.511, 5.88243734524, 45494.58142974879], [0.412, 2.26754404446, 82815.66292178139], [0.425, 5.24511927496, 52389.1053785864], [0.482, 0.98165400059, 25654.19140369739], [0.38, 3.74413132157, 52179.6876185064], [0.359, 5.50961077408, 26555.8681319286], [0.375, 1.97920050124, 149.5631971346], [0.385, 5.8899194879, 129330.13715577759], [0.348, 4.91064019959, 1052.2683831884], [0.417, 4.32916053867, 51123.53789995999], [0.425, 1.43228996047, 51109.31080595839], [0.464, 3.98651628073, 105307.21230790539], [0.329, 5.20636278221, 52602.4044740244], [0.354, 1.04383146533, 66941.04532641819], [0.324, 1.62975761811, 88476.99497093359], [0.378, 5.31676765847, 52171.9249477904], [0.44, 1.46381183715, 89586.37352302698], [0.355, 1.52732265492, 1066.49547719], [0.302, 5.21113786435, 53764.8791784322], [0.301, 5.02488829134, 117873.36400788819], [0.351, 2.0043334173, 24395.7374720718], [0.289, 6.19161799918, 26094.53170047421], [0.286, 3.77170690304, 7.1135470008], [0.284, 3.10942616808, 49957.0491789616], [0.385, 2.47184729453, 25234.70675982219], [0.382, 0.97683830518, 52026.2430860138], [0.271, 5.74710334372, 25455.119402261], [0.375, 0.55187466535, 45405.0956819028], [0.267, 2.86410554301, 80482.46652890938], [0.304, 6.00190488272, 2218.7571041868], [0.259, 1.82921035765, 24505.94379329119], [0.251, 4.10979574073, 155468.036919256], [0.289, 3.05373259745, 26081.27458267419], [0.242, 5.05501089774, 42153.969003049], [0.244, 2.1562166805, 3442.5749449654], [0.315, 2.61613386386, 52182.9198301492], [0.256, 3.71117332461, 25619.9381512198], [0.232, 2.21576531181, 16066.0658614748], [0.233, 5.49033130906, 98068.53671630539], [0.236, 4.08612620637, 26013.1215430069], [0.225, 0.4444933881, 76144.94556434419], [0.242, 3.29851820234, 6681.2248533996], [0.227, 1.63236736805, 76.2660712756], [0.268, 1.09037236588, 18093.37469954999], [0.255, 4.20635818545, 44181.27784112419], [0.205, 1.00234895959, 26190.99591579279], [0.228, 1.46077047931, 77623.81213840858], [0.197, 1.36693360783, 26727.8004278882], [0.259, 1.28296039354, 13655.8604911764], [0.197, 5.7330758343, 157636.79740153858], [0.196, 0.06606260924, 40565.2543247742], [0.187, 0.86187283408, 120226.23016165999], [0.262, 4.14850032709, 24491.71669928959], [0.244, 4.14399890076, 95247.70557217918], [0.232, 5.45165695316, 33967.99229491319], [0.206, 5.59196913034, 55618.3812281138], [0.203, 1.64252462466, 58946.51688439399], [0.187, 0.46291089182, 104881.30353139139], [0.192, 1.827611583, 25551.09862947879], [0.2, 1.81376901527, 25863.55834587229], [0.191, 5.57428963071, 5327.4761083828], [0.195, 3.31297083154, 124778.18365871879], [0.169, 1.69270064342, 90695.75207512038], [0.226, 1.32354627258, 52099.5402118728], [0.177, 3.296208483, 25131.61398560359], [0.178, 2.5482379505, 26720.68688088739], [0.167, 3.61983109002, 23754.70674870219], [0.159, 3.48396967776, 25977.69682035479], [0.15, 5.20072476078, 69159.80243060499], [0.179, 3.94252428767, 129909.82474277639], [0.166, 0.40320638452, 100909.03762133139], [0.176, 2.97410942402, 24925.4284371664], [0.154, 1.27206049137, 25984.8103673556], [0.144, 1.89319156163, 64607.84893354619], [0.145, 2.05409839424, 313054.83769889036], [0.152, 4.87194153709, 103396.01282468818], [0.137, 3.86782217557, 24609.0365675098], [0.141, 1.99770625298, 162188.75089859738], [0.185, 6.10038742063, 23439.44831610119], [0.135, 1.27363012793, 52022.0274726636], [0.127, 0.70464976569, 128850.44281258718], [0.142, 1.50696203402, 52329.58509363319], [0.126, 2.70555128398, 28206.6670019526], [0.126, 1.61963252183, 48835.19385644859], [0.123, 0.15629905349, 151975.46535238638], [0.137, 1.77306412615, 35191.8101356918], [0.147, 4.50311642422, 105410.99449648599], [0.125, 3.38994834526, 78244.0396638228], [0.119, 2.77644375904, 78256.59587772179], [0.156, 2.96616703196, 78050.41032928458], [0.145, 1.35569389554, 3340.6124266998], [0.126, 3.97006576134, 29428.515568274], [0.128, 5.41891989692, 26162.6847401415], [0.132, 4.86901248209, 24712.1293417284], [0.11, 3.8795470244, 85502.38501632259], [0.127, 5.49703075555, 78283.37918562238], [0.126, 0.94870979828, 121335.60871375339], [0.129, 4.00691218396, 72936.23331633979], [0.102, 0.50487650429, 130012.91751699499], [0.104, 0.29849788751, 84546.78527471398], [0.118, 0.76511176346, 131395.11544947958], [0.12, 4.45261989231, 71025.0338331226], [0.117, 3.31644134053, 25771.5112719176], [0.11, 2.632499343, 71582.48457132299], [0.097, 2.66105435933, 155418.04029735178], [0.113, 5.8873357539, 26404.2950112308], [0.098, 2.01417457095, 78477.00852016058], [0.103, 0.46416881502, 51756.3216392732], [0.093, 2.37389467504, 419.4846438752], [0.125, 1.87932536282, 26610.48055966799], [0.095, 0.34221817875, 26507.38778544939], [0.093, 3.80346806552, 26037.90651966999], [0.091, 2.63082094391, 28421.0995344462], [0.101, 5.20997240587, 433.7117378768], [0.096, 4.47724179825, 77197.21394753258], [0.108, 4.03679713919, 51742.09454527159], [0.086, 5.14039556935, 26237.46633870879], [0.092, 3.74335845403, 90829.86112470538], [0.086, 1.86276413658, 27140.17152476259], [0.102, 5.40465219833, 26137.8997634784], [0.086, 4.01653667598, 10021.8372800994], [0.1, 5.32142188276, 108903.56606335558], [0.079, 4.68108496987, 27154.3986187642], [0.092, 5.52103093635, 51322.60990139639], [0.093, 4.20604773511, 38813.3565763492], [0.078, 2.88001982141, 29416.03879785439], [0.095, 4.44018421307, 115674.27666460119], [0.104, 5.05004528676, 50483.640613646], [0.075, 1.7892706053, 143961.2671494624], [0.086, 0.51423355089, 78267.59076008058], [0.078, 4.6683117379, 114564.89811250778], [0.078, 4.20137623264, 1692.1656695024], [0.086, 4.03030391951, 78114.14622758799], [0.073, 2.27328552013, 52643.7712735028], [0.082, 3.7351059211, 853.196381752], [0.071, 4.89150553141, 50593.84693486539], [0.082, 5.22677693918, 27999.1026247914], [0.093, 1.0956916144, 77211.44104153418], [0.074, 1.97833720876, 78690.30761559859], [0.082, 3.59482991001, 71492.99882347698], [0.083, 4.10355702051, 93028.94846799239], [0.083, 3.12647584943, 14477.3511832], [0.067, 0.24182046727, 66653.15746634839], [0.074, 5.66833060422, 78270.82297172339], [0.068, 1.98236355905, 79852.78232000639], [0.064, 5.551158145, 25764.39772491679], [0.064, 6.15935356751, 76044.9523205358], [0.087, 1.77296830923, 25440.89230825939], [0.073, 2.06220281759, 111122.32316754239], [0.066, 2.28151075383, 7880.08915333899], [0.076, 2.65553220848, 34282.1784747828], [0.078, 0.40338105541, 49842.60989027639], [0.064, 0.87558639332, 181555.94006083018], [0.086, 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26091.7844769322], [0.0, 1.95034764539, 52156.1365222486], [0.0, 4.03054078678, 30639.856638633], [0.0, 5.76722418743, 43071.8992890308], [0.0, 4.12739704581, 26107.57290247399], [0.0, 1.37713138665, 31749.2351907264], [0.001, 3.54716896556, 51646.11531805379], [0.0, 3.3916159585, 36301.18868778519], [0.0, 4.34410863436, 57837.1383323006], [0.0, 5.6208296069, 639.897286314], [0.0, 3.16268062826, 529.6909650946], [0.0, 0.77186843357, 26084.0218062162], [0.0, 3.78612072314, 110012.94461544899], [0.0, 5.50453358586, 51116.4243529592], [0.0, 0.0470913142, 52389.1053785864], [0.0, 3.93991894858, 6770.7106012456], [0.0, 1.41961180167, 76674.63652943878], [0.0, 2.61258742182, 66941.04532641819], [0.0, 0.70544164813, 426.598190876], [0.0, 0.91883551986, 55618.3812281138], [0.0, 5.30612883135, 52179.6876185064], [0.0, 2.00604152518, 2118.7638603784], [0.0, 1.08640210817, 56727.7597802072], [0.0, 3.92743267498, 58946.51688439399], [0.0, 5.52202827702, 38654.05484155699], [0.0, 1.57363600114, 24498.8302462904], [0.0, 3.49522546958, 5661.3320491522], [0.0, 0.63375195581, 51535.90899683439], [0.0, 1.34305878069, 105460.99111839019], [0.0, 0.44820055565, 339142.7408404646], [0.0, 1.39951362362, 2218.7571041868], [0.0, 0.63311095079, 18849.2275499742], [0.0, 0.82120127326, 52195.47604404819], [0.0, 2.78211363987, 47623.8527860896], [0.0, 0.94752126944, 53764.8791784322], [0.0, 3.75988526858, 52171.9249477904], [0.0, 0.4435143591, 136100.84775702318], [0.0, 1.44824925227, 76044.9523205358], [0.0, 4.83985082201, 78244.0396638228], [0.0, 0.04522486479, 62389.09182935939], [0.0, 6.28144869714, 213.299095438], [0.0, 5.17875557687, 955.5997416086], [0.0, 4.62674052433, 52168.69273614759], [0.0, 2.19907823066, 77204.32749453338], [0.0, 3.40216597806, 26514.5013324502], [0.0, 2.89630853457, 13655.8604911764], [0.0, 3.92639394174, 50057.04242277], [0.0, 0.27991454535, 11322.6640983044], [0.0, 5.63968341805, 103292.23063610759], [0.0, 1.86829495425, 48733.23133818299], [0.0, 5.77443179008, 105410.99449648599]], [[0.394, 0.3673540384, 26087.9031415742], [0.387, 3.18568771507, 52175.8062831484], [0.27, 6.16983616444, 78263.70942472259], [0.149, 2.91591904641, 104351.61256629678], [0.071, 5.95867889641, 130439.51570787099], [0.031, 2.72386700044, 156527.41884944518], [0.017, 0.0, 0.0], [0.012, 5.77775334056, 182615.3219910194], [0.005, 2.54506442647, 208703.2251325936], [0.002, 5.59978443851, 234791.12827416777], [0.001, 2.33785160871, 260879.03141574195], [0.0, 5.37943916893, 286966.9345573162], [0.0, 3.09643524101, 51066.427731055], [0.0, 0.0934285875, 24978.5245894808], [0.0, 6.02837115675, 53285.1848352418], [0.0, 6.13600004668, 77154.33087262919], [0.0, 2.93310416266, 27197.2816936676], [0.0, 2.89897922039, 103242.2340142034]], [[0.006, 3.98900269603, 26087.9031415742], [0.006, 1.55248278782, 52175.8062831484], [0.005, 4.65461721116, 78263.70942472259], [0.004, 1.40238366492, 104351.61256629678], [0.002, 4.44231488663, 130439.51570787099], [0.001, 3.14159265359, 0.0], [0.001, 1.21278177664, 156527.41884944518], [0.001, 4.2614902634, 182615.3219910194], [0.0, 0.99831133595, 208703.2251325936], [0.0, 4.0026706421, 234791.12827416777]]]

This table contains Mercury’s 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 page 416.