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Such calculations generally result in an elliptical path on a plane defined by some point on the orbit, and the two foci of the ellipse.Viewing from another orbiting body, following its own trace and orbit, creates shifts in three dimensions in the spherical trigonometry used to calculate relative positions.
With the establishment of the Republic of China in 1912, the republican era was introduced.
While logically January 0, 1900 is equivalent to December 31, 1899, these systems do not allow users to specify the latter date.
Since 1900 is incorrectly treated as a leap year in these systems, January 0, 1900 actually corresponds to the historical date of December 30, 1899.
Most famously, older systems which counted time as the number of years elapsed since the epoch of January 1, 1900 and which only allotted enough space to store the numbers 0 through 99, experienced the Year 2000 problem.
These systems (if not corrected beforehand) would interpret the date January 1, 2000 as January 1, 1900, leading to unpredictable errors at the beginning of the year 2000.