# Astronomical Solutions 3.49-0 Ga for Earth's Orbital Eccentricity and Inclination #----------------------------------------------------------------------- # World Data Service for Paleoclimatology, Boulder # and # NOAA Paleoclimatology Program #----------------------------------------------------------------------- # Template Version 4.0 # Encoding: UTF-8 # Data License: # NOTE: Please cite original publication, NOAA Landing Page URL, dataset and publication DOIs (where available), and date accessed when using downloaded data. # If there is no publication information, please cite investigator, study title, NOAA Landing Page URL, and date accessed. # # Description/Documentation lines begin with '#' followed by a space # Data lines have no '#' # # NOAA_Landing_Page: https://www.ncei.noaa.gov/access/paleo-search/study/39199 # Landing_Page_Description: NOAA Landing Page of this file's parent study, which includes all study metadata. # # Study_Level_JSON_Metadata: https://www.ncei.noaa.gov/pub/data/metadata/published/paleo/json/noaa-forcing-39199.json # Study_Level_JSON_Description: JSON metadata of this data file's parent study, which includes all study metadata. # # Data_Type: Climate Forcing # # Dataset_DOI: # # Science_Keywords: #--------------------------------------- # Resource_Links # # Data_Download_Resource: https://www.ncei.noaa.gov/pub/data/paleo/climate_forcing/orbital_variations/zeebe2024/pgigk/zeebe2024-p_precoblq.txt # Data_Download_Description: NOAA Template File; P_PrecOblq Oribtal Parameters Data # #--------------------------------------- # Contribution_Date # Date: 2024-03-20 #--------------------------------------- # File_Last_Modified_Date # Date: 2024-04-08 #--------------------------------------- # Title # Study_Name: Astronomical Solutions 3.49-0 Ga for Earth's Orbital Eccentricity and Inclination #--------------------------------------- # Investigators # Investigators: Zeebe, Richard; Lantink, Margriet #--------------------------------------- # Description_Notes_and_Keywords # Description: https://www.ncei.noaa.gov/pub/data/paleo/climate_forcing/orbital_variations/zeebe2024/Pgigk/ contains output for each solution for the computed periods of short and long eccentricity cycles (P[g*-g*].dat) and the averaged main precession (P1-P5) and obliquity periods (O1-O4, O6) over 3.5 Gyr (P[PrecOblq].dat). https://www.ncei.noaa.gov/pub/data/paleo/climate_forcing/orbital_variations/zeebe2024/ZB23-N64-eiop/ contains the split output. The full (non-split) output is available here: https://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/Astro/3.5Gyr/ # Provided Keywords: Astronomical Forcing, Milankovitch Forcing #--------------------------------------- # Publication # Authors: Zeebe, R.E. and Lantink, M.L. # Published_Date_or_Year: 2024 # Published_Title: A secular solar system resonance that disrupts the dominant cycle in Earth's orbital eccentricity (g2-g5): Implications for astrochronology # Journal_Name: The Astronomical Journal # Volume: # Edition: # Issue: # Pages: # Report_Number: # DOI: 10.3847/1538-3881/ad32cf # Online_Resource: # Full_Citation: # Abstract: The planets' gravitational interaction causes rhythmic changes in Earth's orbital parameters (also called Milankovic cycles), which have powerful applications in geology and astrochronology. For instance, the primary astronomical eccentricity cycle due to the secular frequency term (g2-g5) (~405 kyr in the recent past) utilized in deep-time analyses is dominated by Venus' and Jupiter's orbits, aka long eccentricity cycle. The widely accepted and long-held view is that (g2-g5) was practically stable in the past and may hence be used as a "metronome" to reconstruct accurate ages and chronologies. However, using state-of-the-art integrations of the solar system, we show here that (g2-g5) can become unstable over long time scales, without major changes in, or destabilization of, planetary orbits. The (g2-g5) disruption is due to the secular resonance o12 = (g1 - g2) + (s1 - s2), a major contributor to solar system chaos. We demonstrate that entering/exiting the o12 resonance is a common phenomenon on long time scales, occurring in ~40% of our solutions. During o12-resonance episodes, (g2-g5) is very weak or absent and Earth's orbital eccentricity and climate-forcing spectrum are unrecognizable compared to the recent past. Our results have fundamental implications for geology and astrochronology, as well as climate forcing because the paradigm that the longest Milankovic cycle dominates Earth's astronomical forcing, is stable, and has a period of ~405 kyr requires revision. #--------------------------------------- # Publication # Authors: Zeebe, R.E. and Lantink, M.L. # Published_Date_or_Year: 2024 # Published_Title: Milankovitch forcing in Deep Time # Journal_Name: Paleoceanography and Paleoclimatology # Volume: # Edition: # Issue: # Pages: # Report_Number: # DOI: # Online_Resource: # Full_Citation: # Abstract: Astronomical (or Milankovitch) forcing of the Earth system is key to understanding rhythmic climate change on time scales >~10kyr. Paleoceanographic and paleoclimatological applications concerned with past astronomical forcing rely on astronomical calculations (solutions), which represent the backbone of cyclostratigraphy and astrochronology. Here we present state-of-the-art astronomical solutions over the past 3.5Gyr. Our goal is to provide tuning targets and templates for interpreting deep-time cyclostratigraphic records and designing external forcing functions in climate models. Our approach yields internally consistent orbital and precession-tilt solutions, including fundamental solar system frequencies, orbital eccentricity and inclination, lunar distance, luni-solar precession rate, Earth's obliquity, and climatic precession. Contrary to expectations, we find that the long eccentricity cycle (previously assumed stable and used as a "metronome", recent period of ∼405kyr), can become unstable on long time scales. Our results reveal episodes during which the long eccentricity cycle is very weak or absent and Earth's orbital eccentricity and climate-forcing spectrum are unrecognizable compared to the recent past. For the ratio of eccentricity-to-inclination amplitude modulation (frequently observable in paleorecords) we find a wide distribution around the recent 2:1 ratio, i.e., the system is not restricted to a 2:1 or 1:1 resonance state. Our computations show that Earth’s obliquity was lower and its amplitude (variation around the mean) significantly reduced in the past. We therefore predict weaker climate forcing at obliquity frequencies in deep time and a trend toward reduced obliquity power with age in stratigraphic records. For deep-time applications, our orbital parameters are made available at 400-year resolution. #--------------------------------------- # Funding_Agency # Funding_Agency_Name: US National Science Foundation # Grant: 2021-2800, 2021-2797 #--------------------------------------- # Funding_Agency # Funding_Agency_Name: Heising-Simons Foundation # Grant: 2021-2800, 2021-2797 #--------------------------------------- # Site_Information # Site_Name: Global # Location: Global # Northernmost_Latitude: 90 # Southernmost_Latitude: -90 # Easternmost_Longitude: 180 # Westernmost_Longitude: -180 # Elevation_m: #--------------------------------------- # Data_Collection # Collection_Name: P_PrecOblq # First_Year: 3490000000 # Last_Year: 10000000 # Time_Unit: calendar year before present # Core_Length_m: # Parameter_Keywords: other # Notes: #--------------------------------------- #--------------------------------------- # Chronology_Information # Chronology: #--------------------------------------- # Variables # PaST_Thesaurus_Download_Resource: https://www.ncei.noaa.gov/access/paleo-search/skos/past-thesaurus.rdf # PaST_Thesaurus_Download_Description: Paleoenvironmental Standard Terms (PaST) Thesaurus terms, definitions, and relationships in SKOS format. # # Data variables follow that are preceded by "##" in columns one and two. # Variables list, one per line, shortname-tab-var components: what, material, error, units, seasonality, data type, detail, method, C or N for Character or Numeric data) # ## time age,,,million years ago,,Climate Forcing,,,N,Myr in the past; negative numbers are times before present ## P1 orbital parameter,,,kiloyear,,Climate Forcing,,,N,averaged main precession period P1 ## P2 orbital parameter,,,kiloyear,,Climate Forcing,,,N,averaged main precession period P2 ## P3 orbital parameter,,,kiloyear,,Climate Forcing,,,N,averaged main precession period P3 ## P4 orbital parameter,,,kiloyear,,Climate Forcing,,,N,averaged main precession period P4 ## P5 orbital parameter,,,kiloyear,,Climate Forcing,,,N,averaged main precession period P5 ## O1 orbital parameter,,,kiloyear,,Climate Forcing,,,N,averaged main obliquity period O1 ## O2 orbital parameter,,,kiloyear,,Climate Forcing,,,N,averaged main obliquity period O2 ## O3 orbital parameter,,,kiloyear,,Climate Forcing,,,N,averaged main obliquity period O3 ## O4 orbital parameter,,,kiloyear,,Climate Forcing,,,N,averaged main obliquity period O4 ## O6 orbital parameter,,,kiloyear,,Climate Forcing,,,N,averaged main obliquity period O6 #------------------------ # Data: # Data lines follow (have no #) # Data line format - tab-delimited text, variable short name as header # Missing_Values: NaN time P1 P2 P3 P4 P5 O1 O2 O3 O4 O6 -10 23.07 22.32 19.07 18.91 23.62 28.81 29.76 40.81 39.45 53.43 -30 22.89 22.16 18.96 18.81 23.45 28.56 29.52 40.29 38.97 52.54 -50 22.67 21.97 18.83 18.69 23.24 28.22 29.09 39.67 38.44 51.49 -70 22.48 21.78 18.68 18.54 23.02 27.91 28.74 39.05 37.83 50.45 -90 22.28 21.59 18.55 18.4 22.81 27.59 28.42 38.42 37.24 49.43 -110 22.08 21.4 18.41 18.26 22.59 27.28 28.1 37.82 36.67 48.43 -130 21.87 21.21 18.26 18.12 22.38 26.97 27.77 37.22 36.1 47.46 -150 21.67 21.01 18.12 17.97 22.16 26.65 27.44 36.62 35.54 46.49 -170 21.46 20.81 17.97 17.83 21.94 26.34 27.11 36.03 34.98 45.53 -190 21.25 20.61 17.82 17.68 21.72 26.01 26.77 35.43 34.41 44.58 -210 21.03 20.41 17.68 17.53 21.49 25.69 26.43 34.84 33.86 43.65 -230 20.81 20.21 17.52 17.39 21.27 25.37 26.09 34.26 33.31 42.73 -250 20.59 20 17.37 17.23 21.04 25.04 25.74 33.67 32.75 41.82 -270 20.37 19.8 17.21 17.08 20.81 24.72 25.39 33.09 32.2 40.93 -290 20.15 19.59 17.06 16.93 20.58 24.4 25.05 32.51 31.66 40.05 -310 19.93 19.38 16.9 16.77 20.35 24.07 24.7 31.95 31.12 39.2 -330 19.71 19.18 16.75 16.62 20.13 23.77 24.38 31.41 30.61 38.38 -350 19.51 18.99 16.6 16.47 19.92 23.47 24.07 30.89 30.12 37.62 -370 19.31 18.8 16.46 16.34 19.71 23.19 23.77 30.41 29.65 36.89 -390 19.12 18.62 16.32 16.2 19.52 22.91 23.49 29.94 29.21 36.21 -410 18.94 18.45 16.19 16.07 19.33 22.66 23.22 29.5 28.79 35.56 -430 18.77 18.28 16.06 15.94 19.15 22.4 22.95 29.08 28.39 34.95 -450 18.6 18.12 15.94 15.82 18.97 22.16 22.7 28.68 28 34.37 -470 18.44 17.97 15.82 15.7 18.8 21.94 22.46 28.3 27.64 33.82 -490 18.28 17.82 15.7 15.59 18.64 21.72 22.23 27.93 27.29 33.3 -510 18.13 17.68 15.59 15.48 18.49 21.5 22.01 27.59 26.96 32.81 -530 17.99 17.54 15.49 15.38 18.33 21.3 21.8 27.25 26.64 32.34 -550 17.85 17.41 15.38 15.27 18.19 21.11 21.59 26.94 26.34 31.89 -570 17.71 17.28 15.28 15.18 18.05 20.92 21.39 26.63 26.04 31.46 -590 17.58 17.15 15.18 15.08 17.91 20.74 21.2 26.34 25.76 31.05 -610 17.45 17.03 15.09 14.98 17.78 20.56 21.02 26.05 25.49 30.65 -630 17.33 16.91 15 14.89 17.65 20.39 20.84 25.77 25.22 30.27 -650 17.21 16.8 14.9 14.8 17.53 20.22 20.67 25.49 24.97 29.9 -670 17.09 16.69 14.82 14.71 17.4 20.06 20.49 25.24 24.72 29.55 -690 16.98 16.58 14.73 14.63 17.29 19.9 20.33 25 24.48 29.21 -710 16.87 16.47 14.65 14.55 17.17 19.75 20.18 24.76 24.26 28.89 -730 16.76 16.37 14.57 14.46 17.06 19.6 20.03 24.53 24.03 28.58 -750 16.66 16.27 14.49 14.39 16.95 19.46 19.88 24.31 23.82 28.28 -770 16.56 16.18 14.41 14.31 16.85 19.32 19.73 24.09 23.61 27.99 -790 16.46 16.08 14.34 14.24 16.75 19.18 19.59 23.89 23.41 27.7 -810 16.36 15.99 14.26 14.17 16.65 19.05 19.45 23.68 23.21 27.43 -830 16.27 15.9 14.19 14.1 16.55 18.92 19.32 23.48 23.03 27.16 -850 16.17 15.81 14.12 14.03 16.45 18.8 19.19 23.3 22.84 26.91 -870 16.09 15.73 14.05 13.96 16.36 18.68 19.06 23.1 22.66 26.66 -890 16 15.64 13.99 13.9 16.27 18.57 18.94 22.93 22.49 26.42 -910 15.91 15.56 13.92 13.83 16.18 18.45 18.82 22.76 22.32 26.19 -930 15.83 15.48 13.86 13.77 16.09 18.33 18.7 22.59 22.16 25.96 -950 15.74 15.4 13.79 13.7 16.01 18.22 18.59 22.42 22 25.74 -970 15.66 15.32 13.73 13.64 15.93 18.12 18.47 22.26 21.84 25.53 -990 15.59 15.25 13.67 13.58 15.84 18.02 18.37 22.09 21.69 25.32 -1010 15.51 15.17 13.61 13.52 15.76 17.91 18.27 21.94 21.54 25.11 -1030 15.43 15.1 13.55 13.47 15.69 17.81 18.16 21.79 21.39 24.92 -1050 15.36 15.03 13.49 13.41 15.61 17.71 18.06 21.64 21.25 24.72 -1070 15.29 14.96 13.44 13.35 15.53 17.61 17.96 21.5 21.11 24.53 -1090 15.21 14.89 13.38 13.29 15.46 17.52 17.86 21.35 20.97 24.34 -1110 15.14 14.82 13.32 13.24 15.38 17.42 17.76 21.21 20.83 24.16 -1130 15.07 14.75 13.27 13.19 15.31 17.33 17.67 21.07 20.7 23.98 -1150 15 14.69 13.22 13.14 15.24 17.23 17.57 20.93 20.57 23.81 -1170 14.93 14.62 13.16 13.08 15.17 17.14 17.48 20.8 20.44 23.63 -1190 14.87 14.56 13.11 13.03 15.1 17.06 17.39 20.67 20.31 23.47 -1210 14.8 14.49 13.06 12.98 15.03 16.97 17.3 20.54 20.19 23.3 -1230 14.73 14.43 13 12.93 14.96 16.88 17.2 20.42 20.07 23.13 -1250 14.67 14.36 12.95 12.88 14.89 16.79 17.12 20.29 19.94 22.97 -1270 14.6 14.3 12.9 12.82 14.82 16.71 17.03 20.16 19.82 22.81 -1290 14.54 14.24 12.85 12.77 14.76 16.62 16.94 20.03 19.7 22.65 -1310 14.47 14.18 12.8 12.72 14.69 16.54 16.85 19.92 19.58 22.5 -1330 14.41 14.12 12.75 12.68 14.62 16.46 16.76 19.79 19.46 22.34 -1350 14.35 14.06 12.7 12.63 14.56 16.38 16.68 19.67 19.35 22.19 -1370 14.29 14.01 12.66 12.59 14.51 16.31 16.61 19.58 19.25 22.07 -1390 14.24 13.96 12.62 12.55 14.45 16.24 16.54 19.48 19.16 21.94 -1410 14.19 13.91 12.58 12.51 14.4 16.17 16.47 19.38 19.07 21.82 -1430 14.14 13.86 12.54 12.46 14.35 16.11 16.4 19.29 18.97 21.7 -1450 14.08 13.81 12.5 12.42 14.29 16.04 16.33 19.19 18.88 21.57 -1470 14.03 13.76 12.46 12.38 14.24 15.97 16.26 19.09 18.79 21.45 -1490 13.98 13.71 12.41 12.34 14.18 15.9 16.19 18.99 18.69 21.33 -1510 13.93 13.65 12.37 12.3 14.13 15.84 16.12 18.9 18.6 21.21 -1530 13.88 13.6 12.33 12.26 14.08 15.77 16.05 18.8 18.5 21.08 -1550 13.82 13.55 12.29 12.22 14.02 15.7 15.98 18.71 18.41 20.96 -1570 13.77 13.5 12.25 12.18 13.97 15.63 15.91 18.61 18.31 20.84 -1590 13.71 13.45 12.2 12.14 13.91 15.56 15.84 18.51 18.22 20.72 -1610 13.66 13.4 12.16 12.09 13.85 15.49 15.76 18.41 18.12 20.59 -1630 13.61 13.35 12.12 12.05 13.8 15.42 15.69 18.32 18.03 20.47 -1650 13.55 13.29 12.08 12.01 13.74 15.35 15.62 18.22 17.94 20.35 -1670 13.5 13.24 12.03 11.96 13.69 15.28 15.54 18.12 17.84 20.23 -1690 13.44 13.19 11.99 11.92 13.63 15.21 15.48 18.02 17.74 20.1 -1710 13.39 13.14 11.95 11.88 13.58 15.14 15.4 17.92 17.65 19.98 -1730 13.33 13.08 11.9 11.83 13.52 15.07 15.33 17.82 17.55 19.86 -1750 13.28 13.03 11.86 11.79 13.46 15 15.26 17.72 17.46 19.74 -1770 13.22 12.98 11.81 11.75 13.41 14.93 15.19 17.62 17.36 19.62 -1790 13.17 12.92 11.77 11.7 13.35 14.86 15.12 17.53 17.27 19.49 -1810 13.11 12.87 11.73 11.66 13.29 14.79 15.05 17.43 17.17 19.37 -1830 13.06 12.82 11.68 11.61 13.23 14.72 14.97 17.33 17.08 19.25 -1850 13 12.76 11.64 11.57 13.18 14.65 14.9 17.23 16.98 19.13 -1870 12.94 12.71 11.59 11.53 13.12 14.58 14.83 17.14 16.88 19.01 -1890 12.89 12.65 11.55 11.48 13.06 14.5 14.75 17.04 16.79 18.89 -1910 12.83 12.6 11.5 11.44 13 14.43 14.68 16.94 16.69 18.76 -1930 12.77 12.54 11.45 11.39 12.94 14.36 14.6 16.84 16.6 18.64 -1950 12.72 12.49 11.41 11.35 12.89 14.29 14.53 16.74 16.5 18.52 -1970 12.66 12.43 11.36 11.3 12.83 14.21 14.45 16.64 16.4 18.4 -1990 12.6 12.38 11.31 11.25 12.77 14.14 14.37 16.54 16.31 18.28 -2010 12.54 12.32 11.27 11.21 12.71 14.07 14.3 16.44 16.21 18.15 -2030 12.49 12.26 11.22 11.16 12.65 14 14.23 16.34 16.11 18.03 -2050 12.43 12.21 11.17 11.11 12.59 13.92 14.15 16.24 16.02 17.91 -2070 12.37 12.15 11.13 11.07 12.53 13.85 14.07 16.14 15.92 17.79 -2090 12.31 12.09 11.08 11.02 12.47 13.77 14 16.03 15.82 17.67 -2110 12.25 12.04 11.03 10.97 12.41 13.7 13.92 15.94 15.72 17.55 -2130 12.19 11.98 10.98 10.92 12.34 13.63 13.84 15.84 15.63 17.42 -2150 12.13 11.92 10.93 10.88 12.28 13.55 13.77 15.74 15.53 17.3 -2170 12.07 11.87 10.89 10.83 12.23 13.48 13.69 15.65 15.44 17.19 -2190 12.01 11.81 10.84 10.79 12.17 13.41 13.62 15.55 15.34 17.07 -2210 11.95 11.75 10.79 10.74 12.1 13.33 13.54 15.45 15.24 16.95 -2230 11.89 11.69 10.74 10.69 12.04 13.26 13.46 15.34 15.14 16.83 -2250 11.83 11.63 10.69 10.64 11.98 13.18 13.38 15.24 15.04 16.7 -2270 11.77 11.58 10.64 10.59 11.92 13.11 13.3 15.14 14.94 16.58 -2290 11.71 11.52 10.59 10.54 11.85 13.03 13.22 15.04 14.84 16.46 -2310 11.65 11.46 10.54 10.49 11.79 12.95 13.15 14.94 14.75 16.34 -2330 11.58 11.4 10.49 10.44 11.73 12.87 13.07 14.83 14.65 16.22 -2350 11.52 11.33 10.44 10.39 11.66 12.79 12.98 14.73 14.54 16.09 -2370 11.46 11.27 10.39 10.33 11.59 12.72 12.9 14.63 14.44 15.97 -2390 11.4 11.21 10.33 10.28 11.53 12.64 12.83 14.52 14.34 15.85 -2410 11.33 11.15 10.28 10.23 11.47 12.56 12.75 14.42 14.24 15.72 -2430 11.27 11.09 10.23 10.18 11.4 12.48 12.67 14.32 14.14 15.6 -2450 11.2 11.03 10.18 10.13 11.33 12.41 12.59 14.22 14.04 15.48 -2470 11.14 10.96 10.12 10.08 11.27 12.33 12.51 14.11 13.94 15.36 -2490 11.08 10.9 10.07 10.02 11.2 12.25 12.42 14.01 13.84 15.23 -2510 11.01 10.84 10.02 9.97 11.14 12.17 12.35 13.9 13.74 15.11 -2530 10.95 10.78 9.96 9.91 11.07 12.09 12.26 13.8 13.64 14.99 -2550 10.88 10.71 9.91 9.86 11 12.01 12.18 13.7 13.53 14.86 -2570 10.81 10.65 9.85 9.81 10.93 11.93 12.09 13.59 13.43 14.74 -2590 10.75 10.58 9.8 9.75 10.87 11.85 12.01 13.49 13.33 14.62 -2610 10.68 10.52 9.74 9.7 10.8 11.77 11.93 13.38 13.23 14.49 -2630 10.61 10.45 9.68 9.64 10.73 11.69 11.85 13.28 13.12 14.37 -2650 10.55 10.39 9.63 9.59 10.66 11.6 11.76 13.17 13.02 14.25 -2670 10.48 10.32 9.57 9.53 10.59 11.52 11.68 13.06 12.92 14.12 -2690 10.41 10.25 9.51 9.47 10.52 11.44 11.59 12.96 12.81 14 -2710 10.34 10.19 9.46 9.42 10.45 11.36 11.51 12.85 12.71 13.87 -2730 10.27 10.12 9.4 9.36 10.38 11.27 11.42 12.74 12.6 13.75 -2750 10.2 10.05 9.34 9.3 10.31 11.19 11.34 12.63 12.5 13.62 -2770 10.13 9.98 9.28 9.24 10.24 11.1 11.25 12.53 12.39 13.5 -2790 10.06 9.92 9.22 9.18 10.16 11.02 11.16 12.42 12.29 13.37 -2810 9.99 9.85 9.16 9.12 10.09 10.93 11.07 12.31 12.18 13.25 -2830 9.92 9.78 9.1 9.06 10.02 10.84 10.98 12.2 12.07 13.12 -2850 9.84 9.71 9.04 9 9.94 10.76 10.89 12.09 11.97 12.99 -2870 9.77 9.63 8.98 8.94 9.87 10.67 10.8 11.98 11.86 12.87 -2890 9.7 9.56 8.92 8.88 9.79 10.58 10.72 11.87 11.75 12.74 -2910 9.62 9.49 8.86 8.82 9.72 10.5 10.63 11.76 11.64 12.61 -2930 9.55 9.42 8.79 8.76 9.64 10.41 10.53 11.65 11.53 12.49 -2950 9.47 9.35 8.73 8.69 9.57 10.32 10.44 11.54 11.42 12.36 -2970 9.4 9.27 8.66 8.63 9.49 10.23 10.35 11.42 11.31 12.23 -2990 9.32 9.2 8.6 8.56 9.41 10.14 10.26 11.31 11.2 12.1 -3010 9.24 9.12 8.53 8.5 9.33 10.05 10.16 11.2 11.09 11.97 -3030 9.17 9.05 8.47 8.43 9.25 9.95 10.07 11.09 10.98 11.84 -3050 9.09 8.97 8.4 8.37 9.17 9.86 9.98 10.97 10.87 11.71 -3070 9.01 8.89 8.33 8.3 9.09 9.77 9.88 10.86 10.76 11.58 -3090 8.93 8.82 8.27 8.23 9.01 9.68 9.79 10.75 10.65 11.45 -3110 8.85 8.74 8.2 8.17 8.93 9.59 9.69 10.63 10.53 11.32 -3130 8.77 8.66 8.13 8.1 8.85 9.49 9.6 10.52 10.42 11.19 -3150 8.69 8.58 8.06 8.03 8.77 9.4 9.5 10.4 10.31 11.06 -3170 8.61 8.5 7.99 7.96 8.69 9.3 9.4 10.29 10.19 10.93 -3190 8.53 8.42 7.92 7.89 8.6 9.21 9.31 10.17 10.08 10.8 -3210 8.45 8.34 7.85 7.82 8.52 9.11 9.21 10.05 9.96 10.67 -3230 8.36 8.26 7.78 7.75 8.43 9.02 9.11 9.93 9.85 10.53 -3250 8.28 8.18 7.7 7.67 8.35 8.92 9.01 9.82 9.73 10.4 -3270 8.2 8.1 7.63 7.6 8.26 8.82 8.91 9.7 9.62 10.27 -3290 8.11 8.02 7.56 7.53 8.18 8.72 8.81 9.58 9.5 10.14 -3310 8.03 7.93 7.48 7.46 8.09 8.62 8.71 9.46 9.38 10 -3330 7.94 7.85 7.41 7.38 8 8.52 8.61 9.34 9.26 9.87 -3350 7.85 7.76 7.33 7.3 7.91 8.42 8.5 9.21 9.14 9.73 -3370 7.76 7.67 7.25 7.23 7.82 8.32 8.4 9.09 9.02 9.59 -3390 7.67 7.58 7.17 7.15 7.73 8.21 8.29 8.97 8.9 9.45 -3410 7.58 7.49 7.09 7.07 7.63 8.11 8.19 8.84 8.77 9.31 -3430 7.48 7.4 7.01 6.99 7.54 8 8.08 8.71 8.65 9.17 -3450 7.39 7.31 6.93 6.9 7.45 7.89 7.97 8.59 8.52 9.03 -3470 7.3 7.22 6.84 6.82 7.35 7.79 7.86 8.46 8.4 8.89 -3490 7.2 7.12 6.76 6.74 7.25 7.68 7.75 8.33 8.27 8.75