def hipfk524(): """Print summary of FK5-FK4 comparison with SLALIB fk524 (HIP).""" hip_tab = get_hipdata() sla_tab = get_sla("slalib_hip_fk524.txt") rv = np.zeros((len(hip_tab['px'],))) v6l = convert.cat2v6(hip_tab['raj2'], hip_tab['decj2'], hip_tab['pma'], hip_tab['pmd'], hip_tab['px'], rv, tpm.CJ) v6o = convert.convertv6(v6l, s1=6, s2=5, epoch=tpm.J2000) v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) cat = (tpm.v62cat(v, tpm.CB) for v in v6o) d = cat2array(cat) ra_diff = np.degrees(d['alpha']) - sla_tab[:, 0] ra_diff *= 3600.0 dec_diff = np.degrees(d['delta']) - sla_tab[:, 1] dec_diff *= 3600.0 px_diff = d['px'] * 1000.0 - sla_tab[:, 2] pma_diff = d['pma'] * 1000.0 / 100.0 - sla_tab[:, 3] pmd_diff = d['pmd'] * 1000.0 / 100.0 - sla_tab[:, 4] rv_diff = d['rv'] - sla_tab[:, 5] fs = "{0} {1}\n" + \ "Min: {2:.4f} Max: {3:.4f} \nMean: {4:.4f} Std: {5:.4f}\n" x = [stats.describe(np.abs(i)) for i in [ra_diff, dec_diff, px_diff, pma_diff, pmd_diff, rv_diff]] print("Comparison with SLALIB fk524 using HIPPARCOS data.") for name, unit, s in zip( ["ra_diff", "dec_diff", "px_diff", "pma_diff", "pmd_diff", "rv_diff"], ["arsec", "arcsec", "milliarcsec", "milli-arsec/trop. yr", "milli-arcsec/trop. yr", "km/s"], x): print(fs.format(name, unit, s[1][0], s[1][1], s[2], s[3] ** 0.5))
def test_slalib_hip_eqgal(self): """convertv6(x,s1=6,s=4) + PM <=> SLALIB eqgal HIP""" v6l = [] for r, d in zip(self.hip_tab['raj2'], self.hip_tab['decj2']): v6 = tpm.V6S() v6.r = 1e9 v6.alpha = tpm.d2r(r) v6.delta = tpm.d2r(d) v6l.append(v6.s2c()) v6o = convert.convertv6(v6l, s1=6, s2=4) # The galactic coordinates are at epoch J2000. But SLALIB # results are for B1950. So apply proper motion here. v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) tab = get_sla("slalib_hip_eqgal.txt") for v, s in zip(cat, tab): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 self.assertTrue(ra_diff <= 0.001) self.assertTrue(dec_diff <= 0.001)
def hipeqgal(): """Print summary of EQ-GAL comparison with SLALIB eqgal (HIP).""" hip_tab = get_hipdata() sla_tab = get_sla("slalib_hip_eqgal.txt") dummy = np.zeros((len(hip_tab['px']),)) v6l = convert.cat2v6(hip_tab['raj2'], hip_tab['decj2'], dummy, dummy, dummy, dummy, tpm.CJ) v6o = convert.convertv6(v6l, s1=6, s2=4) # The galactic coordinates are at epoch J2000. But SLALIB # results are for B1950. So apply proper motion here. v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) cat = convert.v62cat(v6o, tpm.CJ) cat = cat2array(cat) ra_diff = np.degrees(cat['alpha']) - sla_tab[:, 0] ra_diff = np.abs(ra_diff * 3600.0) dec_diff = np.degrees(cat['delta']) - sla_tab[:, 1] dec_diff = np.abs(dec_diff * 3600.0) print("Comparison with SLALIB eqgal using HIPPARCOS data.") fs = "{0} {1}\n" + \ "Min: {2:.4f} Max: {3:.4f} \nMean: {4:.4f} Std: {5:.4f}\n" x = stats.describe(ra_diff) print(fs.format("ra_diff", "arcsec", x[1][0], x[1][1], x[2], x[3] ** 0.5)) x = stats.describe(dec_diff) print(fs.format("dec_diff", "arcsec", x[1][0], x[1][1], x[2], x[3] ** 0.5))
def test_slalib_nwdfs_fk54z(self): """convertv6(x,s1=6,s=5) + PM <=> SLALIB FK5-FK4 (fk54z) NDWFS""" v6l = [] for r, d in zip(self.ndwfs_tab['raj2'], self.ndwfs_tab['decj2']): v6 = tpm.V6S() v6.r = 1e9 v6.alpha = tpm.d2r(r) v6.delta = tpm.d2r(d) v6l.append(v6.s2c()) v6o = convert.convertv6(v6l, s1=6, s2=5) v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) cat = (tpm.v62cat(v, tpm.CB) for v in v6o) tab = get_sla("slalib_ndwfs_fk54z.txt") for v, s in zip(cat, tab): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) # arcsec/cent to milli-arcsec/year. pma = v['pma'] * 1000.0 / 100.0 pmd = v['pmd'] * 1000.0 / 100.0 ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 pma_diff = abs(pma - s[2]) pmd_diff = abs(pmd - s[3]) self.assertTrue(ra_diff <= 0.0001) self.assertTrue(dec_diff <= 0.0001) self.assertTrue(pma_diff <= 1) self.assertTrue(pmd_diff <= 1)
def testProperMotion(self): """Convert.proper_motion: multiple V6C values.""" ra = tpm.d2r(269.45402305) de = tpm.d2r(4.66828815) px = 549.01 / 1000.0 # To Arc seconds rv = 0.0 # pmra * cos(de) into pmra pmra = (-797.84 / 1000.0) / math.cos(de) pmra *= 100.0 # To Arcseconds per century. pmde = (10326.93 / 1000.0) pmde *= 100.0 # To Arcseconds per century. C = tpm.CJ v6 = tpm.cat2v6(ra, de, pmra, pmde, px, rv, C) v6_out = convert.proper_motion([v6, v6], tpm.J2000, tpm.jyear2jd(1991.25)) for i in v6_out: v6 = i.c2s() hms = tpm.HMS(r=v6.alpha) dms = tpm.DMS(r=v6.delta) hms.normalize() dms.normalize() self.assertAlmostEqual(hms.hh, -7.0) self.assertAlmostEqual(hms.mm, 57.0) self.assertAlmostEqual(hms.ss, 48.4986, 3) self.assertAlmostEqual(dms.dd, 4.0) self.assertAlmostEqual(dms.mm, 41.0) self.assertAlmostEqual(dms.ss, 36.1980, 3)
def hipeqgal(): """Print summary of EQ-GAL comparison with SLALIB eqgal (HIP).""" hip_tab = get_hipdata() sla_tab = get_sla("slalib_hip_eqgal.txt") dummy = np.zeros((len(hip_tab['px']), )) v6l = convert.cat2v6(hip_tab['raj2'], hip_tab['decj2'], dummy, dummy, dummy, dummy, tpm.CJ) v6o = convert.convertv6(v6l, s1=6, s2=4) # The galactic coordinates are at epoch J2000. But SLALIB # results are for B1950. So apply proper motion here. v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) cat = convert.v62cat(v6o, tpm.CJ) cat = cat2array(cat) ra_diff = np.degrees(cat['alpha']) - sla_tab[:, 0] ra_diff = np.abs(ra_diff * 3600.0) dec_diff = np.degrees(cat['delta']) - sla_tab[:, 1] dec_diff = np.abs(dec_diff * 3600.0) print("Comparison with SLALIB eqgal using HIPPARCOS data.") fs = "{0} {1}\n" + \ "Min: {2:.4f} Max: {3:.4f} \nMean: {4:.4f} Std: {5:.4f}\n" x = stats.describe(ra_diff) print(fs.format("ra_diff", "arcsec", x[1][0], x[1][1], x[2], x[3]**0.5)) x = stats.describe(dec_diff) print(fs.format("dec_diff", "arcsec", x[1][0], x[1][1], x[2], x[3]**0.5))
def testProperMotion(self): """Convert.proper_motion: multiple V6C values.""" ra = tpm.d2r(269.45402305) de = tpm.d2r(4.66828815) px = 549.01 / 1000.0 # To Arc seconds rv = 0.0 # pmra * cos(de) into pmra pmra = (-797.84 / 1000.0) / math.cos(de) pmra *= 100.0 # To Arcseconds per century. pmde = 10326.93 / 1000.0 pmde *= 100.0 # To Arcseconds per century. C = tpm.CJ v6 = tpm.cat2v6(ra, de, pmra, pmde, px, rv, C) v6_out = convert.proper_motion([v6, v6], tpm.J2000, tpm.jyear2jd(1991.25)) for i in v6_out: v6 = i.c2s() hms = tpm.HMS(r=v6.alpha) dms = tpm.DMS(r=v6.delta) hms.normalize() dms.normalize() self.assertAlmostEqual(hms.hh, -7.0) self.assertAlmostEqual(hms.mm, 57.0) self.assertAlmostEqual(hms.ss, 48.4986, 3) self.assertAlmostEqual(dms.dd, 4.0) self.assertAlmostEqual(dms.mm, 41.0) self.assertAlmostEqual(dms.ss, 36.1980, 3)
def test_slalib_nwdfs_fk54z(self): """convertv6(x,s1=6,s=5) + PM <=> SLALIB FK5-FK4 (fk54z) NDWFS""" v6l = [] for r, d in zip(self.ndwfs_tab['raj2'], self.ndwfs_tab['decj2']): v6 = tpm.V6S() v6.r = 1e9 v6.alpha = tpm.d2r(r) v6.delta = tpm.d2r(d) v6l.append(v6.s2c()) v6o = convert.convertv6(v6l, s1=6, s2=5) v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) cat = (tpm.v62cat(v, tpm.CB) for v in v6o) tab = get_sla("slalib_ndwfs_fk54z.txt") for v, s in zip(cat, tab): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) # arcsec/cent to milli-arcsec/year. pma = v['pma'] * 1000.0 / 100.0 pmd = v['pmd'] * 1000.0 / 100.0 ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 pma_diff = abs(pma - s[2]) pmd_diff = abs(pmd - s[3]) self.assertTrue(ra_diff <= 0.0001 ) self.assertTrue(dec_diff <= 0.0001) self.assertTrue(pma_diff <= 1) self.assertTrue(pmd_diff <= 1)
def test_slalib_hip_eqgal(self): """convertv6(x,s1=6,s=4) + PM <=> SLALIB eqgal HIP""" v6l = [] for r, d in zip(self.hip_tab['raj2'], self.hip_tab['decj2']): v6 = tpm.V6S() v6.r = 1e9 v6.alpha = tpm.d2r(r) v6.delta = tpm.d2r(d) v6l.append(v6.s2c()) v6o = convert.convertv6(v6l, s1=6, s2=4) # The galactic coordinates are at epoch J2000. But SLALIB # results are for B1950. So apply proper motion here. v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) tab = get_sla("slalib_hip_eqgal.txt") for v, s in zip(cat, tab): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 self.assertTrue(ra_diff <= 0.001 ) self.assertTrue(dec_diff <= 0.001 )
def hipfk425(): """Print summary of FK4-FK5 comparison with SLALIB fk425 (HIP). The input FK4 data is the same generated for the the FK5-FK4 conversion test. I read that data into slalib and perform the reverse conversion. The result is then compared with that from PyTPM. """ sla_tabb = get_sla("slalib_hip_fk524.txt") sla_tab = get_sla("slalib_hip_fk524_fk425.txt") r = np.radians(sla_tabb[:, 0]) d = np.radians(sla_tabb[:, 1]) px = sla_tabb[:, 2] / 1000.0 pma = sla_tabb[:, 3] / 1000.0 * 100.0 pmd = sla_tabb[:, 4] / 1000.0 * 100.0 rv = sla_tabb[:, 5] v6l = convert.cat2v6(r, d, pma, pmd, px, rv, tpm.CB) v6o = convert.convertv6(v6l, s1=5, s2=6, epoch=tpm.B1950) v6o = convert.proper_motion(v6o, tpm.J2000, tpm.B1950) cat = convert.v62cat(v6o, tpm.CJ) cat = cat2array(cat) r = np.degrees(cat['alpha']) d = np.degrees(cat['delta']) # arc-sec/cent. to milli-arcsec/Jul. year. pma = cat['pma'] * 1000.0 / 100.0 pmd = cat['pmd'] * 1000.0 / 100.0 # arc-sec to milli-arcsec px = cat['px'] * 1000.0 ra_diff = np.abs(r - sla_tab[:, 0]) * 3600.0 dec_diff = np.abs(d - sla_tab[:, 1]) * 3600.0 px_diff = np.abs(px - sla_tab[:, 2]) pma_diff = np.abs(pma - sla_tab[:, 3]) pmd_diff = np.abs(pmd - sla_tab[:, 4]) rv_diff = np.abs(rv - sla_tab[:, 5]) fs = "{0} {1}\n" + \ "Min: {2:.4f} Max: {3:.4f} \nMean: {4:.4f} Std: {5:.4f}\n" x = [ stats.describe(np.abs(i)) for i in [ra_diff, dec_diff, px_diff, pma_diff, pmd_diff, rv_diff] ] print("Comparison with SLALIB fk425 using HIPPARCOS data.") for name, unit, s in zip( ["ra_diff", "dec_diff", "px_diff", "pma_diff", "pmd_diff", "rv_diff"], [ "arsec", "arcsec", "milliarcsec", "milli-arsec/trop. yr", "milli-arcsec/trop. yr", "km/s" ], x): print(fs.format(name, unit, s[1][0], s[1][1], s[2], s[3]**0.5))
def hipfk425(): """Print summary of FK4-FK5 comparison with SLALIB fk425 (HIP). The input FK4 data is the same generated for the the FK5-FK4 conversion test. I read that data into slalib and perform the reverse conversion. The result is then compared with that from PyTPM. """ sla_tabb = get_sla("slalib_hip_fk524.txt") sla_tab = get_sla("slalib_hip_fk524_fk425.txt") r = np.radians(sla_tabb[:, 0]) d = np.radians(sla_tabb[:, 1]) px = sla_tabb[:, 2] / 1000.0 pma = sla_tabb[:, 3] / 1000.0 * 100.0 pmd = sla_tabb[:, 4] / 1000.0 * 100.0 rv = sla_tabb[:, 5] v6l = convert.cat2v6(r, d, pma, pmd, px, rv, tpm.CB) v6o = convert.convertv6(v6l, s1=5, s2=6, epoch=tpm.B1950) v6o = convert.proper_motion(v6o, tpm.J2000, tpm.B1950) cat = convert.v62cat(v6o, tpm.CJ) cat = cat2array(cat) r = np.degrees(cat['alpha']) d = np.degrees(cat['delta']) # arc-sec/cent. to milli-arcsec/Jul. year. pma = cat['pma'] * 1000.0 / 100.0 pmd = cat['pmd'] * 1000.0 / 100.0 # arc-sec to milli-arcsec px = cat['px'] * 1000.0 ra_diff = np.abs(r - sla_tab[:, 0]) * 3600.0 dec_diff = np.abs(d - sla_tab[:, 1]) * 3600.0 px_diff = np.abs(px - sla_tab[:, 2]) pma_diff = np.abs(pma - sla_tab[:, 3]) pmd_diff = np.abs(pmd - sla_tab[:, 4]) rv_diff = np.abs(rv - sla_tab[:, 5]) fs = "{0} {1}\n" + \ "Min: {2:.4f} Max: {3:.4f} \nMean: {4:.4f} Std: {5:.4f}\n" x = [stats.describe(np.abs(i)) for i in [ra_diff, dec_diff, px_diff, pma_diff, pmd_diff, rv_diff]] print("Comparison with SLALIB fk425 using HIPPARCOS data.") for name, unit, s in zip( ["ra_diff", "dec_diff", "px_diff", "pma_diff", "pmd_diff", "rv_diff"], ["arsec", "arcsec", "milliarcsec", "milli-arsec/trop. yr", "milli-arcsec/trop. yr", "km/s"], x): print(fs.format(name, unit, s[1][0], s[1][1], s[2], s[3] ** 0.5))
def fk54(): # Convert from FK5 equinox and epoch J2000.0 to FK4 equinox B1950, but # at the given epoch i.e., J2000.0. v6o = convert.convertv6(v6, s1=6, s2=5, epoch=tpm.J2000) # Apply proper motion from J2000.0 to B1950.0. Objects with zero # velocity in FK5 will have a fictitious proper motion in FK4. v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) # Convert V6C vectors into a list of dictionaries, each of which # contain the 6-D Fk4 B1950.0 coordinates. cat = convert.v62cat(v6o, tpm.CB) return cat
def test_slalib_hip_fk524(self): """convertv6(x,s1=6,s2=5) + PM <=> SLALIB FK5-FK4 (fk524) HIP""" v6l = [] for r, d, pa, pd, px in zip(self.hip_tab['raj2'], self.hip_tab['decj2'], self.hip_tab['pma'], self.hip_tab['pmd'], self.hip_tab['px']): r = tpm.d2r(r) d = tpm.d2r(d) # Milli-arcsec / Jul. yr to milli-arcsec per Jul. century. pma = pa / math.cos(d) / 1000.0 * 100.0 pmd = pd / 1000.0 * 100.0 px /= 1000.0 # mili-arcsec to arc-sec. v6 = tpm.cat2v6(r, d, pma, pmd, px, 0.0, tpm.CJ) v6l.append(v6) v6o = convert.convertv6(v6l, s1=6, s2=5) v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) cat = (tpm.v62cat(v, tpm.CB) for v in v6o) tab = get_sla("slalib_hip_fk524.txt") for v, s in zip(cat, tab): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) # arc-sec/cent. to milli-arcsec/trop. year. pma = v['pma'] * 1000.0 / 100.0 pmd = v['pmd'] * 1000.0 / 100.0 px = v['px'] * 1e3 # arc-sec to milli-arcsec ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 px_diff = abs(px - s[2]) pma_diff = abs(pma - s[3]) pmd_diff = abs(pmd - s[4]) rv_diff = abs(v['rv'] - s[5]) self.assertTrue(ra_diff <= 0.001) self.assertTrue(dec_diff <= 0.001) self.assertTrue(pma_diff <= 0.001) self.assertTrue(pmd_diff <= 0.001) self.assertTrue(px_diff <= 9) self.assertTrue(rv_diff <= 0.04)
def test_slalib_hip_fk524(self): """convertv6(x,s1=6,s2=5) + PM <=> SLALIB FK5-FK4 (fk524) HIP""" v6l = [] for r, d, pa, pd, px in zip(self.hip_tab['raj2'], self.hip_tab['decj2'], self.hip_tab['pma'], self.hip_tab['pmd'], self.hip_tab['px']): r = tpm.d2r(r) d = tpm.d2r(d) # Milli-arcsec / Jul. yr to milli-arcsec per Jul. century. pma = pa / math.cos(d) / 1000.0 * 100.0 pmd = pd / 1000.0 * 100.0 px /= 1000.0 # mili-arcsec to arc-sec. v6 = tpm.cat2v6(r, d, pma, pmd, px, 0.0, tpm.CJ) v6l.append(v6) v6o = convert.convertv6(v6l, s1=6, s2=5) v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) cat = (tpm.v62cat(v, tpm.CB) for v in v6o) tab = get_sla("slalib_hip_fk524.txt") for v, s in zip(cat, tab): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) # arc-sec/cent. to milli-arcsec/trop. year. pma = v['pma'] * 1000.0 / 100.0 pmd = v['pmd'] * 1000.0 / 100.0 px = v['px'] * 1e3 # arc-sec to milli-arcsec ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 px_diff = abs(px - s[2]) pma_diff = abs(pma - s[3]) pmd_diff = abs(pmd - s[4]) rv_diff = abs(v['rv'] - s[5]) self.assertTrue(ra_diff <= 0.001) self.assertTrue(dec_diff <= 0.001) self.assertTrue(pma_diff <= 0.001) self.assertTrue(pmd_diff <= 0.001) self.assertTrue(px_diff <= 9) self.assertTrue(rv_diff <= 0.04)
def test_slalib_hip_fk52appradec(self): """convert(x, s1=6, s2=11) + PM => SLALIB sla_map HIP.""" tab = get_sla("slalib_hip_map.txt") v6l = [] for r, d, pa, pd, px in zip(self.hip_tab['raj2'], self.hip_tab['decj2'], self.hip_tab['pma'], self.hip_tab['pmd'], self.hip_tab['px']): r = tpm.d2r(r) d = tpm.d2r(d) # Milli-arcsec / Jul. yr to arcsec per Jul. century. pma = pa / math.cos(d) / 1000.0 * 100.0 pmd = pd / 1000.0 * 100.0 px /= 1000.0 # mili-arcsec to arc-sec. v6 = tpm.cat2v6(r, d, pma, pmd, px, 0.0, tpm.CJ) v6l.append(v6) utc = tpm.gcal2j(2010, 1, 1) - 0.5 # midnight tt = tpm.utc2tdb(utc) v6o = convert.proper_motion(v6l, tt, tpm.J2000) v6o = convert.convertv6(v6o, s1=6, s2=11, epoch=tt, equinox=tpm.J2000, utc=utc, delta_at=tpm.delta_AT(utc)) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) l = len(v6o) for v, s, i in zip(cat, tab, range(l)): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 self.assertTrue(ra_diff <= 0.33) self.assertTrue(dec_diff <= 0.03)
def test_slalib_hip_fk425(self): """convertv6(v6,s1=5,s2=6) + PM <=> SLALIB FK4-FK5 (fk425) HIP.""" sla_tabb = get_sla("slalib_hip_fk524.txt") tab = get_sla("slalib_hip_fk524_fk425.txt") v6l = [] for r, d, px, pa, pd, rv in sla_tabb: r = tpm.d2r(r) d = tpm.d2r(d) # Milli-arcsec / Trop. yr to arcsec per Trop. century. pma = pa / 1000.0 * 100.0 pmd = pd / 1000.0 * 100.0 px /= 1000.0 # mili-arcsec to arc-sec. v6 = tpm.cat2v6(r, d, pma, pmd, px, rv, tpm.CB) v6l.append(v6) v6o = convert.convertv6(v6l, s1=5, s2=6, epoch=tpm.B1950) v6o = convert.proper_motion(v6o, tpm.J2000, tpm.B1950) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) for v, s in zip(cat, tab): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) # arc-sec/cent. to milli-arcsec/Jul. year. pma = v['pma'] * 1000.0 / 100.0 pmd = v['pmd'] * 1000.0 / 100.0 px = v['px'] * 1e3 # arc-sec to milli-arcsec ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 px_diff = abs(px - s[2]) pma_diff = abs(pma - s[3]) pmd_diff = abs(pmd - s[4]) rv_diff = abs(v['rv'] - s[5]) self.assertTrue(ra_diff <= 0.001) self.assertTrue(dec_diff <= 0.001) self.assertTrue(pma_diff <= 0.001) self.assertTrue(pmd_diff <= 0.001) self.assertTrue(px_diff <= 9) self.assertTrue(rv_diff <= 0.04)
def test_slalib_hip_fk425(self): """convertv6(v6,s1=5,s2=6) + PM <=> SLALIB FK4-FK5 (fk425) HIP.""" sla_tabb = get_sla("slalib_hip_fk524.txt") tab = get_sla("slalib_hip_fk524_fk425.txt") v6l = [] for r, d, px, pa, pd, rv in sla_tabb: r = tpm.d2r(r) d = tpm.d2r(d) # Milli-arcsec / Trop. yr to arcsec per Trop. century. pma = pa / 1000.0 * 100.0 pmd = pd / 1000.0 * 100.0 px /= 1000.0 # mili-arcsec to arc-sec. v6 = tpm.cat2v6(r, d, pma, pmd, px, rv, tpm.CB) v6l.append(v6) v6o = convert.convertv6(v6l, s1=5, s2=6, epoch=tpm.B1950) v6o = convert.proper_motion(v6o, tpm.J2000, tpm.B1950) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) for v, s in zip(cat, tab): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) # arc-sec/cent. to milli-arcsec/Jul. year. pma = v['pma'] * 1000.0 / 100.0 pmd = v['pmd'] * 1000.0 / 100.0 px = v['px'] * 1e3 # arc-sec to milli-arcsec ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 px_diff = abs(px - s[2]) pma_diff = abs(pma - s[3]) pmd_diff = abs(pmd - s[4]) rv_diff = abs(v['rv'] - s[5]) self.assertTrue(ra_diff <= 0.001) self.assertTrue(dec_diff <= 0.001) self.assertTrue(pma_diff <= 0.001) self.assertTrue(pmd_diff <= 0.001) self.assertTrue(px_diff <= 9) self.assertTrue(rv_diff <= 0.04)
def fB1950toJ2000_main(ra_J2000, dec_J2000): ''' Precess Right Ascension and Declination coordinates from the sexagismal positions in the B1959 system to decimal degrees in the J2000 system. Input ra_J2000: single Right Ascension position in sexagismal J2000 dec_J2000: single Declination position in sexagismal J2000 Output ra_deg: single Right Ascension position in decimal degree dec_deg: single Declination position in decimal degrees ''' # convert decimal degrees to sexagismal format ra_sexa, dec_sexa = degtosexa(ra_J2000, dec_J2000) # extract RA hh:mm:ss and Dec dd:mm:ss components ra_hh = float(ra_sexa.split(" ")[0]) ra_mm = float(ra_sexa.split(" ")[1]) ra_ss = float(ra_sexa.split(" ")[2]) dec_dd = float(dec_sexa.split(" ")[0][1:]) dec_mm = float(dec_sexa.split(" ")[1]) dec_ss = float(dec_sexa.split(" ")[2]) # create RA and Dec objects ra_J2000 = tpm.HMS(hh=ra_hh, mm=ra_mm, ss=ra_ss).to_radians() dec_J2000 = tpm.DMS(dd=dec_dd, mm=dec_mm, ss=dec_ss).to_radians() # velocity vector v5 = convert.cat2v6(ra_J2000, dec_J2000) v5_fk6 = convert.convertv6(v5, s1=5, s2=6, epoch=tpm.B1950, equinox=tpm.B1950) v5_fk6_ep2000 = convert.proper_motion(v5_fk6, tpm.J2000, tpm.B1950) d = convert.v62cat(v5_fk6_ep2000, C=tpm.CJ) ra_new_rad = d["alpha"] ra_deg = ra_new_rad * 180. / np.pi dec_new_rad = d["delta"] dec_deg = dec_new_rad * 180. / np.pi return ra_deg, dec_deg
def test_slalib_hip_fk52appradec(self): """convert(x, s1=6, s2=11) + PM => SLALIB sla_map HIP.""" tab = get_sla("slalib_hip_map.txt") v6l = [] for r, d, pa, pd, px in zip(self.hip_tab['raj2'], self.hip_tab['decj2'], self.hip_tab['pma'], self.hip_tab['pmd'], self.hip_tab['px']): r = tpm.d2r(r) d = tpm.d2r(d) # Milli-arcsec / Jul. yr to arcsec per Jul. century. pma = pa / math.cos(d) / 1000.0 * 100.0 pmd = pd / 1000.0 * 100.0 px /= 1000.0 # mili-arcsec to arc-sec. v6 = tpm.cat2v6(r, d, pma, pmd, px, 0.0, tpm.CJ) v6l.append(v6) utc = tpm.gcal2j(2010, 1, 1) - 0.5 # midnight tt = tpm.utc2tdb(utc) v6o = convert.proper_motion(v6l, tt, tpm.J2000) v6o = convert.convertv6(v6o, s1=6, s2=11, epoch=tt, equinox=tpm.J2000, utc=utc, delta_at=tpm.delta_AT(utc)) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) l = len(v6o) for v, s, i in zip(cat, tab, range(l)): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 self.assertTrue(ra_diff <= 0.33) self.assertTrue(dec_diff <= 0.03)
def hipfk524(): """Print summary of FK5-FK4 comparison with SLALIB fk524 (HIP).""" hip_tab = get_hipdata() sla_tab = get_sla("slalib_hip_fk524.txt") rv = np.zeros((len(hip_tab['px'], ))) v6l = convert.cat2v6(hip_tab['raj2'], hip_tab['decj2'], hip_tab['pma'], hip_tab['pmd'], hip_tab['px'], rv, tpm.CJ) v6o = convert.convertv6(v6l, s1=6, s2=5, epoch=tpm.J2000) v6o = convert.proper_motion(v6o, tpm.B1950, tpm.J2000) cat = (tpm.v62cat(v, tpm.CB) for v in v6o) d = cat2array(cat) ra_diff = np.degrees(d['alpha']) - sla_tab[:, 0] ra_diff *= 3600.0 dec_diff = np.degrees(d['delta']) - sla_tab[:, 1] dec_diff *= 3600.0 px_diff = d['px'] * 1000.0 - sla_tab[:, 2] pma_diff = d['pma'] * 1000.0 / 100.0 - sla_tab[:, 3] pmd_diff = d['pmd'] * 1000.0 / 100.0 - sla_tab[:, 4] rv_diff = d['rv'] - sla_tab[:, 5] fs = "{0} {1}\n" + \ "Min: {2:.4f} Max: {3:.4f} \nMean: {4:.4f} Std: {5:.4f}\n" x = [ stats.describe(np.abs(i)) for i in [ra_diff, dec_diff, px_diff, pma_diff, pmd_diff, rv_diff] ] print("Comparison with SLALIB fk524 using HIPPARCOS data.") for name, unit, s in zip( ["ra_diff", "dec_diff", "px_diff", "pma_diff", "pmd_diff", "rv_diff"], [ "arsec", "arcsec", "milliarcsec", "milli-arsec/trop. yr", "milli-arcsec/trop. yr", "km/s" ], x): print(fs.format(name, unit, s[1][0], s[1][1], s[2], s[3]**0.5))
def test_slalib_nwdfs_fk45z(self): """convertv6(x,s1=5,s=6) <=> SLALIB FK4-FK5 (fk45z) NDWFS""" v6l = [] for r, d in zip(self.ndwfs_tab['rab1'], self.ndwfs_tab['decb1']): v6 = tpm.V6S() v6.r = 1e9 v6.alpha = tpm.d2r(r) v6.delta = tpm.d2r(d) v6l.append(v6.s2c()) v6o = convert.convertv6(v6l, s1=5, s2=6) v6o = convert.proper_motion(v6o, tpm.J2000, tpm.B1950) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) tab = get_sla("slalib_ndwfs_fk45z.txt") for v, s in zip(cat, tab): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 self.assertTrue(ra_diff <= 0.5) self.assertTrue(dec_diff <= 0.5)
def test_slalib_nwdfs_fk45z(self): """convertv6(x,s1=5,s=6) <=> SLALIB FK4-FK5 (fk45z) NDWFS""" v6l = [] for r, d in zip(self.ndwfs_tab['rab1'], self.ndwfs_tab['decb1']): v6 = tpm.V6S() v6.r = 1e9 v6.alpha = tpm.d2r(r) v6.delta = tpm.d2r(d) v6l.append(v6.s2c()) v6o = convert.convertv6(v6l, s1=5, s2=6) v6o = convert.proper_motion(v6o, tpm.J2000, tpm.B1950) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) tab = get_sla("slalib_ndwfs_fk45z.txt") for v, s in zip(cat, tab): ra = math.degrees(tpm.r2r(v['alpha'])) dec = math.degrees(v['delta']) ra_diff = abs(ra - s[0]) * 3600.0 dec_diff = abs(dec - s[1]) * 3600.0 self.assertTrue(ra_diff <= 0.5 ) self.assertTrue(dec_diff <= 0.5)
def test_slalib_hip_fk52obs(self): """convert(x, s1=6, s2=19) (+ s2=20) + PM => SLALIB sla_aop HIP.""" tab = get_sla("slalib_hip_aop.txt") az_sla = [] zd_sla = [] ha_sla = [] dec_sla = [] ra_sla = [] for i in tab: # Convert longitude values to 0 - 360 az_sla.append(i[0] if i[0] >= 0 else i[0] + 360.0) zd_sla.append(i[1]) ha_sla.append(i[2] if i[2] >= 0 else i[2] + 360.0) dec_sla.append(i[3]) ra_sla.append(i[4] if i[4] >= 0 else i[4] + 360.0) v6l = [] for r, d, pa, pd, px in zip(self.hip_tab['raj2'], self.hip_tab['decj2'], self.hip_tab['pma'], self.hip_tab['pmd'], self.hip_tab['px']): r = tpm.d2r(r) d = tpm.d2r(d) # Milli-arcsec / Jul. yr to arcsec per Jul. century. pma = pa / math.cos(d) / 1000.0 * 100.0 pmd = pd / 1000.0 * 100.0 px /= 1000.0 # mili-arcsec to arc-sec. v6 = tpm.cat2v6(r, d, pma, pmd, px, 0.0, tpm.CJ) v6l.append(v6) utc = tpm.gcal2j(2010, 1, 1) - 0.5 # midnight tt = tpm.utc2tdb(utc) # Convert to Az-EL. v6o = convert.proper_motion(v6l, tt, tpm.J2000) v6o = convert.convertv6(v6o, s1=6, s2=19, utc=utc) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) az = [] zd = [] for i in cat: az.append(tpm.r2d(i['alpha'])) zd.append(90.0 - tpm.r2d(i['delta'])) # Convert Az-El to HA-Dec. v6o = convert.convertv6(v6o, s1=19, s2=20, utc=utc) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) # Find LAST. tstate = tpm.TSTATE() tpm.tpm_data(tstate, tpm.TPM_INIT) tstate.utc = utc tstate.delta_ut = tpm.delta_UT(utc) tstate.delta_at = tpm.delta_AT(utc) tstate.lon = tpm.d2r(-111.598333) tstate.lat = tpm.d2r(31.956389) tpm.tpm_data(tstate, tpm.TPM_ALL) last = tpm.r2d(tstate.last) ha = [] dec = [] ra = [] for i in cat: ha.append(tpm.r2d(i['alpha'])) dec.append(tpm.r2d(i['delta'])) # RA = LAST - HA and convert to 0 - 360. x = last - tpm.r2d(i['alpha']) ra.append(x if x >= 0 else x + 360.0) for i in range(len(az)): # Test only the coordinates with ZD < 75.0. if zd[i] < 75.0: self.assertTrue(abs(az[i] - az_sla[i]) * 3600.0 <= 0.25) self.assertTrue(abs(zd[i] - zd_sla[i]) * 3600.0 <= 0.04) self.assertTrue(abs(ha[i] - ha_sla[i]) * 3600.0 <= 0.28) self.assertTrue(abs(dec[i] - dec_sla[i]) * 3600.0 <= 0.04) self.assertTrue(abs(ra[i] - ra_sla[i]) * 3600.0 <= 0.33)
dec_sla = tab[:, 3] ra_sla = np.array([i if i >= 0 else i + 360.0 for i in tab[:, 4]]) # Dummy radial velocity. rv = np.zeros_like(hip_tab['px']) # Create array of TPM V6C vectors. v6l = convert.cat2v6(hip_tab['raj2'], hip_tab['decj2'], hip_tab['pma'], hip_tab['pmd'], hip_tab['px'], rv, tpm.CJ) # Time for the observations. utc = tpm.gcal2j(2010, 1, 1) - 0.5 # midnight tt = tpm.utc2tdb(utc) # Convert J2000 RA, DEC to Az, EL and ZD at given UTC. v6o = convert.proper_motion(v6l, tt, tpm.J2000) v619 = convert.convertv6(v6o, s1=6, s2=19, utc=utc) cat19 = convert.v62cat(v619, tpm.CJ) cat19 = cat2array(cat19) az = np.degrees(cat19['alpha']) el = np.degrees(cat19['delta']) zd = 90.0 - el # Keep only those objects with ZD < 75.0 degrees. indx = np.where(zd < 75.0) # Difference in AZ and ZD, using TPM and SLALIB. az_diff = np.abs(az[indx] - az_sla[indx]) * 3600.0 zd_diff = np.abs(zd[indx] - zd_sla[indx]) * 3600.0 # Az, El to HA and Dec.
def test_slalib_hip_fk52obs(self): """convert(x, s1=6, s2=19) (+ s2=20) + PM => SLALIB sla_aop HIP.""" tab = get_sla("slalib_hip_aop.txt") az_sla = [] zd_sla = [] ha_sla = [] dec_sla = [] ra_sla = [] for i in tab: # Convert longitude values to 0 - 360 az_sla.append(i[0] if i[0] >= 0 else i[0] + 360.0) zd_sla.append(i[1]) ha_sla.append(i[2] if i[2] >= 0 else i[2] + 360.0) dec_sla.append(i[3]) ra_sla.append(i[4] if i[4] >= 0 else i[4] + 360.0) v6l = [] for r, d, pa, pd, px in zip(self.hip_tab['raj2'], self.hip_tab['decj2'], self.hip_tab['pma'], self.hip_tab['pmd'], self.hip_tab['px']): r = tpm.d2r(r) d = tpm.d2r(d) # Milli-arcsec / Jul. yr to arcsec per Jul. century. pma = pa / math.cos(d) / 1000.0 * 100.0 pmd = pd / 1000.0 * 100.0 px /= 1000.0 # mili-arcsec to arc-sec. v6 = tpm.cat2v6(r, d, pma, pmd, px, 0.0, tpm.CJ) v6l.append(v6) utc = tpm.gcal2j(2010, 1, 1) - 0.5 # midnight tt = tpm.utc2tdb(utc) # Convert to Az-EL. v6o = convert.proper_motion(v6l, tt, tpm.J2000) v6o = convert.convertv6(v6o, s1=6, s2=19, utc=utc) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) az = [] zd = [] for i in cat: az.append(tpm.r2d(i['alpha'])) zd.append(90.0 - tpm.r2d(i['delta'])) # Convert Az-El to HA-Dec. v6o = convert.convertv6(v6o, s1=19, s2=20, utc=utc) cat = (tpm.v62cat(v, tpm.CJ) for v in v6o) # Find LAST. tstate = tpm.TSTATE() tpm.tpm_data(tstate, tpm.TPM_INIT) tstate.utc = utc tstate.delta_ut = tpm.delta_UT(utc) tstate.delta_at = tpm.delta_AT(utc) tstate.lon = tpm.d2r(-111.598333) tstate.lat = tpm.d2r(31.956389) tpm.tpm_data(tstate, tpm.TPM_ALL) last = tpm.r2d(tstate.last) ha = [] dec = [] ra = [] for i in cat: ha.append(tpm.r2d(i['alpha'])) dec.append(tpm.r2d(i['delta'])) # RA = LAST - HA and convert to 0 - 360. x = last - tpm.r2d(i['alpha']) ra.append(x if x >= 0 else x + 360.0) for i in range(len(az)): # Test only the coordinates with ZD < 75.0. if zd[i] < 75.0: self.assertTrue(abs(az[i] - az_sla[i]) * 3600.0 <= 0.25) self.assertTrue(abs(zd[i] - zd_sla[i]) * 3600.0 <= 0.04) self.assertTrue(abs(ha[i] - ha_sla[i]) * 3600.0 <= 0.28) self.assertTrue(abs(dec[i] - dec_sla[i]) * 3600.0 <= 0.04) self.assertTrue(abs(ra[i] - ra_sla[i]) * 3600.0 <= 0.33)
# Load HIPPAROCS data and output from running SLALIB map. hip_tab = get_hipdata() tab = np.loadtxt(os.path.join(testdatadir, "slalib_hip_map.txt")) rv = np.zeros_like(hip_tab['px']) # Create V6C array from catalog data. v6l = convert.cat2v6(hip_tab['raj2'], hip_tab['decj2'], hip_tab['pma'], hip_tab['pmd'], hip_tab['px'], rv, tpm.CJ) # UTC and TDB for mid-night of 2010/1/1. utc = tpm.gcal2j(2010, 1, 1) - 0.5 # midnight tt = tpm.utc2tdb(utc) # Apply proper motion from J2000 to date. v6o = convert.proper_motion(v6l, tt, tpm.J2000) # Convert from mean equinox J2000 to true equinox and epoch of date. v6o = convert.convertv6(v6o, s1=6, s2=11, utc=utc) # Convert to Numpy rec-array. cat = convert.v62cat(v6o, tpm.CJ) cat = cat2array(cat) ra_diff = np.degrees(cat['alpha']) - tab[:, 0] ra_diff = np.abs(ra_diff) * 3600.0 dec_diff = np.degrees(cat['delta']) - tab[:, 1] dec_diff = np.abs(dec_diff) * 3600.0 print("Comparison with SLALIB map using HIPPARCOS data.") fs = "{0} {1}\n" + \