two body ephemeris generator - option n0. 4 table of minor planet orbital elements and p,q vectors (j2000.0 equinox) yr mn dy hr epoch(j.d.) a(au) e somega(deg) lomega(deg) i(deg) m(deg) p(au) q(au) 1998 1 21 .0 2450834.50000 3.7299047 .4637037 192.78728 210.62435 6.25747 22.83810 x = .7271069 -.6842753 y = .6390808 .7041851 z = .2507813 .1894484 two body ephemeris (j2000.0 equinox) for Gehrels_2 yr mn dy hr j.d.(et) r.a.j2000.0 dec. dra var ddec delta r theta beta glong glat az1 al1 az2 al2 amag 1998 1 19 .0 2450832.5 6 20 23. +13 30 46. -1.32 4.9 1.47 2.39 154.4 10.2 95.0 -9.8 282.9 -4.7 43.7 34.1 19.5 1998 1 20 .0 2450833.5 6 19 53. +13 32 47. -1.26 5.0 1.48 2.40 153.4 10.6 94.9 -9.8 282.3 -5.9 42.7 34.7 19.6 1998 1 21 .0 2450834.5 6 19 24. +13 34 52. -1.20 5.2 1.49 2.40 152.4 11.0 94.8 -9.8 281.7 -7.0 41.7 35.2 19.6 1998 1 22 .0 2450835.5 6 18 57. +13 37 1. -1.14 5.4 1.50 2.41 151.3 11.3 94.6 -9.8 281.0 -8.2 40.8 35.8 19.6 1998 1 23 .0 2450836.5 6 18 31. +13 39 13. -1.07 5.5 1.51 2.41 150.3 11.7 94.5 -9.7 280.4 -9.4 39.8 36.3 19.7 1998 1 24 .0 2450837.5 6 18 7. +13 41 29. -1.01 5.6 1.52 2.41 149.2 12.0 94.4 -9.7 279.8 -10.5 38.8 36.8 19.7 1998 1 25 .0 2450838.5 6 17 44. +13 43 47. -.94 5.8 1.53 2.42 148.2 12.4 94.3 -9.7 279.2 -11.7 37.8 37.2 19.7 1998 1 26 .0 2450839.5 6 17 23. +13 46 9. -.87 5.9 1.54 2.42 147.1 12.7 94.3 -9.6 278.6 -12.8 36.8 37.7 19.8 1998 1 27 .0 2450840.5 6 17 4. +13 48 33. -.80 6.0 1.55 2.43 146.1 13.1 94.2 -9.6 278.0 -14.0 35.9 38.1 19.8 1998 1 28 .0 2450841.5 6 16 47. +13 51 0. -.73 6.1 1.56 2.43 145.1 13.4 94.1 -9.5 277.4 -15.1 34.9 38.5 19.8 1998 1 29 .0 2450842.5 6 16 31. +13 53 30. -.66 6.2 1.57 2.44 144.1 13.7 94.0 -9.5 276.8 -16.3 33.9 38.9 19.9 1998 1 30 .0 2450843.5 6 16 17. +13 56 1. -.59 6.3 1.58 2.44 143.0 14.1 94.0 -9.5 276.2 -17.4 32.9 39.3 19.9 1998 1 31 .0 2450844.5 6 16 4. +13 58 35. -.52 6.4 1.59 2.44 142.0 14.4 93.9 -9.4 275.7 -18.6 32.0 39.7 19.9 1998 2 1 .0 2450845.5 6 15 53. +14 1 11. -.45 6.5 1.60 2.45 141.0 14.7 93.9 -9.4 275.1 -19.7 31.0 40.0 20.0 the above minor planet ephemeris is based upon the following ecliptic orbital elements(j2000.0): yr mn dy hr epoch(jd) a(au) e somega(deg) node(deg) i(deg) m(deg) 1998 1 21 .0 2450834.50000 3.7299047 .4637037 192.78728 210.62435 6.25747 22.83810 explanation of symbols for option 4 : j.d. = julian date(ephemeris time). r.a. and dec. - j2000.0 = geocentric right ascension and declination referred to the mean equator and equinox of j2000.0. r.a. in hours and time minutes, dec. in degrees and arc minutes. dra and ddec - var. = variation by one hour of position of object, translated into variations in right ascension and declination, referred to the mean equator and equinox of j2000.0. dra in time seconds, ddec in arc seconds. delta = geocentric distance of object, in astronomical units. r = heliocentric distance of object, in astronomical units. theta = sun-earth-object angle, in degrees. beta = sun-object-earth angle, in degrees. glong,glat = geocentric ecliptic longitude and latitude referred to the true equinox of date, in degrees. az1,al1 and az2,al2 = azimuth and altitude of the object at initiation of morning twilight and end of evening twilight, respectively, for an observer at -30.2 degrees latitude and .0 meters above sea level. twilight is defined as occurring when the zenith distance of the sun is 102.0 degrees. azimuth is measured east of north. amag = apparent magnitude = absmag + coefg*log10(delta) + coefh*log10(r) + coefb * beta where: absmag = 16.40 coefb = 0.04 coefg = 5.00 coefh = 5.00