Need to know the basic level of astronomy, in order to know that collecting data of stars - comparing data made at another time - can not be use to measure deviation of starlight. Measuring the angle in astronomy applies direct measuring and instantaneous. It doesn't matter using a sophisticated software, if doesn't meet requirements in the basic principle of scientific method in the field of astronomy; should be classified as a non-scientific.
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Thank to Sir Isaac Newton
The idea of “a small telescope” or a sextant employing a movable mirror was first conceived by Isaac Newton in 1700. Workable instruments were made in 1730; sextant in this form has been in use for 250 years, and will be used into the foreseeable future. The name is derived from the Latin sextant, or sixth part of a circle. Due to the arrangement of the optic, the sextant will actually measure angles up to one third of a circle, or 120 degrees. The octants and quadrant are similar instruments, with ranges of 90 and 180 degrees.
A sextant can also be used to measure the lunar distance between the moon and another celestial object (such as a star or planet) in order to determine Greenwich Mean Time and hence longitude. The principle of the instrument was first implemented around 1730 by John Hadley (1682–1744) and Thomas Godfrey (1704–1749), but it was also found later in the unpublished writings of Isaac Newton (1643–1727)-(wikipedia.org)
On the first glance you might think that a sextant looks pretty complicated, but it really isn’t. There are only three basic parts, as shown in figure below, and the parts of the “small telesope” are clearly described on wikipedia.
