Mars 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 = Mars.geometric_heliocentric_position(epoch)
print_me("Geometric Heliocentric Longitude", lon.to_positive())
# Geometric Heliocentric Longitude: 2.0015
print_me("Geometric Heliocentric Latitude", lat)
# Geometric Heliocentric Latitude: -1.3683
print_me("Radius vector", r)
# Radius vector: 1.39306
Compute the geocentric position for 1992/12/20:
epoch = Epoch(1992, 12, 20.0)
ra, dec, elon = Mars.geocentric_position(epoch)
print_me("Right ascension", ra.ra_str(n_dec=1))
# Right ascension: 7h 48' 35.4''
print_me("Declination", dec.dms_str(n_dec=1))
# Declination: 24d 35' 33.9''
print_me("Elongation", elon.dms_str(n_dec=1))
# Elongation: 153d 35' 1.6''
Print mean orbital elements for Mars at 2065.6.24:
epoch = Epoch(2065, 6, 24.0)
l, a, e, i, ome, arg = Mars.orbital_elements_mean_equinox(epoch)
print_me("Mean longitude of the planet", round(l, 6))
# Mean longitude of the planet: 288.855211
print_me("Semimajor axis of the orbit (UA)", round(a, 8))
# Semimajor axis of the orbit (UA): 1.52367934
print_me("Eccentricity of the orbit", round(e, 7))
# Eccentricity of the orbit: 0.0934599
print_me("Inclination on plane of the ecliptic", round(i, 6))
# Inclination on plane of the ecliptic: 1.849338
print_me("Longitude of the ascending node", round(ome, 5))
# Longitude of the ascending node: 50.06365
print_me("Argument of the perihelion", round(arg, 6))
# Argument of the perihelion: 287.202108
Compute the time of the conjunction close to 1993/10/1:
epoch = Epoch(1993, 10, 1.0)
conj = Mars.conjunction(epoch)
y, m, d = conj.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Conjunction date", date)
# Conjunction date: 1993/12/27.0898
Compute the time of the opposition close to 2729/10/1:
epoch = Epoch(2729, 10, 1.0)
oppo = Mars.opposition(epoch)
y, m, d = oppo.get_date()
d = round(d, 4)
date = "{}/{}/{}".format(y, m, d)
print_me("Opposition date", date)
# Opposition date: 2729/9/9.1412
Compute the time of the station in longitude #1 close to 1997/3/1:
epoch = Epoch(1997, 3, 1.0)
sta1 = Mars.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: 1997/2/6.033
Compute the time of the station in longitude #2 close to 1997/3/1:
epoch = Epoch(1997, 3, 1.0)
sta2 = Mars.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: 1997/4/27.7553
Find the epoch of the Aphelion closer to 2032/1/1:
epoch = Epoch(2032, 1, 1.0)
e = Mars.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 2032/1/1 will happen on", peri)
# The Aphelion closest to 2032/1/1 will happen on: 2032/10/24 at 22 hours
Compute the time of passage through an ascending node:
epoch = Epoch(2019, 1, 1)
time, r = Mars.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: 2019/1/15.2
print("Radius vector at ascending node: {}".format(round(r, 4)))
# Radius vector at ascending node: 1.4709