Jupiter examples¶
Let’s define a small helper function:
def print_me(msg, val):
print("{}: {}".format(msg, val))
We can compute the geometric heliocentric position for a given epoch:
epoch = Epoch(2018, 10, 27.0)
lon, lat, r = Jupiter.geometric_heliocentric_position(epoch)
print_me("Geometric Heliocentric Longitude", lon.to_positive())
# Geometric Heliocentric Longitude: 241.5873
print_me("Geometric Heliocentric Latitude", lat)
# Geometric Heliocentric Latitude: 0.8216
print_me("Radius vector", r)
# Radius vector: 5.36848
Compute the geocentric position for 1992/12/20:
epoch = Epoch(1992, 12, 20.0)
ra, dec, elon = Jupiter.geocentric_position(epoch)
print_me("Right ascension", ra.ra_str(n_dec=1))
# Right ascension: 12h 47' 9.6''
print_me("Declination", dec.dms_str(n_dec=1))
# Declination: -3d 41' 55.3''
print_me("Elongation", elon.dms_str(n_dec=1))
# Elongation: 76d 2' 26.0''
Print mean orbital elements for Jupiter at 2065.6.24:
epoch = Epoch(2065, 6, 24.0)
l, a, e, i, ome, arg = Jupiter.orbital_elements_mean_equinox(epoch)
print_me("Mean longitude of the planet", round(l, 6))
# Mean longitude of the planet: 222.433723
print_me("Semimajor axis of the orbit (UA)", round(a, 8))
# Semimajor axis of the orbit (UA): 5.20260333
print_me("Eccentricity of the orbit", round(e, 7))
# Eccentricity of the orbit: 0.0486046
print_me("Inclination on plane of the ecliptic", round(i, 6))
# Inclination on plane of the ecliptic: 1.29967
print_me("Longitude of the ascending node", round(ome, 5))
# Longitude of the ascending node: 101.13309
print_me("Argument of the perihelion", round(arg, 6))
# Argument of the perihelion: -85.745532
Compute the time of the conjunction close to 1993/10/1:
epoch = Epoch(1993, 10, 1.0)
conj = Jupiter.conjunction(epoch)
y, m, d = conj.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Conjunction date", date)
# Conjunction date: 1993/10/18.3341
Compute the time of the opposition close to -6/9/1:
epoch = Epoch(-6, 9, 1.0)
oppo = Jupiter.opposition(epoch)
y, m, d = oppo.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Opposition date", date)
# Opposition date: -6/9/15.2865
Compute the time of the station in longitude #1 close to 2018/11/1:
epoch = Epoch(2018, 11, 1.0)
sta1 = Jupiter.station_longitude_1(epoch)
y, m, d = sta1.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Date of station in longitude #1", date)
# Date of station in longitude #1: 2018/3/9.1288
Compute the time of the station in longitude #2 close to 2018/11/1:
epoch = Epoch(2018, 11, 1.0)
sta2 = Jupiter.station_longitude_2(epoch)
y, m, d = sta2.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Date of station in longitude #2", date)
# Date of station in longitude #2: 2018/7/10.6679
Find the epoch of the Aphelion closer to 1981/6/1:
epoch = Epoch(1981, 6, 1.0)
e = Jupiter.perihelion_aphelion(epoch, perihelion=False)
y, m, d, h, mi, s = e.get_full_date()
peri = str(y) + '/' + str(m) + '/' + str(d) + ' at ' + str(h) + ' hours'
print_me("The Aphelion closest to 1981/6/1 will happen on", peri)
# The Aphelion closest to 1981/6/1 will happen on: 1981/7/28 at 6 hours
Compute the time of passage through an ascending node:
epoch = Epoch(2019, 1, 1)
time, r = Jupiter.passage_nodes(epoch)
y, m, d = time.get_date()
d = round(d, 1)
print("Time of passage through ascending node: {}/{}/{}".format(y, m, d))
# Time of passage through ascending node: 2025/9/15.6
print("Radius vector at ascending node: {}".format(round(r, 4)))
# Radius vector at ascending node: 5.1729