THE DARIAN SYSTEM

Abstract

Figures and Tables

1.0 The Darian Calendar for Mars

1.1 Introduction

1.2 Years

1.2.1 An Extended Intercalation Scheme

1.3 Months and Seasons

1.4 Weeks

1.4.1 The Martiana Calendar

1.5 The Telescopic Epoch

1.6 Darian-Gregorian Calendar Displays

1.7 Children and Collateral Relatives

2.0 The Calendars of Jupiter

2.1 Introduction

2.2 Circads

2.3 Years

2.4 Weeks

2.5 Months

2.6 Intercalation

2.7 Calibration

2.8 Variations on a Martian Theme

3.0 The Darian Calendar for Titan

3.1 Overview of the Darian Calendar System

3.2 Astronomical Cycles on Titan

3.3 Circads and Weeks

3.4 Months and Years

3.5 Intercalation

3.6 Calibration

4.0 Conclusion

5.0 References

Appendix 1: Intercalation Precision on Mars

Appendix 2: Perturbations of Mars

Appendix 3: Martian Daylight Time

THE DARIAN SYSTEM

Copyright 1986-2005 by Thomas Gangale

FIGURES AND TABLES

DATE CONVERTERS AND CLOCKS

Darian Date Converter

Seven-Planet Darian Clock

FIGURES

Figure 1-1: Length of Terrestrial and Martian Days

Figure 1-2: Length of Terrestrial and Martian Years

Figure 1-3: Cumulative Error of the Darian Calendar

Figure 1-4: The Darian Months

Figure 1-5: Names of the Days of the Week

Figure 1-6: Gregorian Calendar Display, UTC and AMT, September 2005

Figure 1-7: Darian Calendar Display, Spirit and Pacific Time, Aquarius 210

Figure A1-1: Precision of the Darian Calendar in the 3rd Century

Figure A1-2: Precision of a Five-Year Intercalation Cycle in the 3rd Century

Figure A1-3: Precision of the Gregorian Calendar in the 21st Century

Figure A1-4: Precision of the Darian Calendar, Years 0 to 500

Figure A1-5: Precision of a Five-Year Intercalation Cycle, Years 0 to 500

Figure A1-6: Precision of the Gregorian Calendar, Years 1900 to 2400

Figure A2-1: Variation in the Vernal Equinox Year, Years 141 to 275

Figure A2-2: Variation in the Summer Solstice Year, Years 141 to 275

Figure A2-3: Variation in the Autumnal Equinox Year, Years 141 to 275

Figure A2-4: Variation in the Winter Solstice Year, Years 141 to 275

Figure A2-5: Variation in the Anomalistic Year vs. Vernal Equinox Year, Years 141 to 275

Figure A3-1: The Equations of Time for Earth and Mars

Figure A3-2: The Analemmas of Earth and Mars

Figure A3-3: Variation in Times of Sunrise and Sunset, 24.936 Degrees Latitude, Mars

Figure A3-4: Variation in Times of Sunrise and Sunset, 40 Degrees Latitude, Mars

Figure A3-5: Variation in Times of Sunrise and Sunset, 30 Degrees Latitude, Earth

Figure A3-6: Variation in Times of Sunrise and Sunset, 40 Degrees Latitude, Earth

Figure 2-1: Circads

Figure 2-2: Cumulative Intercalation Error for Io

Figure 2-3: Cumulative Intercalation Error for Europa

Figure 2-4: Cumulative Intercalation Error for Ganymede

Figure 2-5: Cumulative Intercalation Error for Callisto

Figure 3-1: Cumulative Error for Eight-Circad Intercalation

Figure 3-2: Cumulative Error for 16-Circad Intercalation

TABLES

Table 1-1: Extended Intercalation Formula Series

Table 1-2: The Stretched Gregorian Calendar

Table 1-3: The Martian Seasons

Table 1-4: Annual Astronomical Events (Nominal Dates)

Table 1-5: Vernal Equinoxes of Mars

Table 1-6: Summer Solstices of Mars

Table 1-7: Autumnal Equinoxes of Mars

Table 1-8: Winter Solstices of Mars

Table 1-9: Perihelions of Mars

Table 1-10: Oppositions of Mars

Table 1-11: Conjunctions of Mars

Table 1-12: The Darian Calendar

Table 1-13: The Martiana Calendar

Table 2-1: Periods of Candidate Worlds (in Terrestrial Solar days)

Table 2-2: Circads of the Galileans

Table 2-3: Days of the Week

Table 2-4: Dividing the Galilean Years (Earth-based)

Table 2-5: Months of the Year (Gregorian-based)

Table 2-6: The Gregorian-based Galilean Calendars (perpetual)

Table 2-7: Ten-Year Intercalation Sequence (Gregorian-based)

Table 2-8: Extended Intercalation Scheme (Gregorian-based)

Table 2-9: Inferior Solar Conjunctions of Galileans at 2002 January 01 Jupiter Opposition (all times UTC)

Table 2-10: Dividing the Galilean Years (Mars-based)

Table 2-11: Months of the Year (Darian-based)

Table 2-12: The Darian Calendar for Io

Table 2-13: The Darian Calendar for Europa

Table 2-14: The Darian Calendar for Ganymede

Table 2-15: The Darian Calendar for Callisto

Table 2-16: Ten-Year Intercalation Sequence (Darian-based)

Table 2-17: Extended Intercalation Scheme (Darian-based)

Table 2-18: Inferior Solar Conjunctions of Galileans at 1609 March 12 Martian Vernal Equinox

Table 3-1: Integral-Week Months and Bisected-Week Months Compared

Table 3-2: The Darian Calendar for Titan

Table 3-3: Solar Cycle Phasing in the Eight-Circad System

Table 3-4: Solar Cycle Phasing in the 16-Circad System