📝 Original Info
- Title: Astronomy in the Church: the Clementine Sundial in Santa Maria degli Angeli, Rome
- ArXiv ID: 1106.2976
- Date: 2011-06-16
- Authors: Costantino Sigismondi
📝 Abstract
Pope Clement XI (1700-1721) ordered Francesco Bianchini (1662-1729) to build a Meridian Line. Bianchini was the Secretary of the Commission for the Calendar. He chose the Basilica of Santa Maria degli Angeli because of the stability of its roman walls and foundations and its suitable dimension. Stability over centuries of the ancient walls where the pinhole is located is a requirement for making high precision astrometry, such as the measurement of the inclination of the Earth axis over its orbit plan. In the 18th century it was possible to open the window holding the southern pinhole, and, even in daylight, stellar transits were recorded and precisely timed with pendulum mechanical clocks. The accuracy of such clocks was better than 1 s per day, and the observations of stellar transits allowed their synchronization with sidereal time. This "hybrid feature" of the Clementine Gnomon to measure solar and stellar transits allowed Bianchini to accomplish in 1703 the whole measurement of the duration of the tropical year, which was usually made by comparing observations very widely spread in time. The small deviation of the Line from true North of ~ 4'30" Eastwards has been measured comparing the delays of transits at both solstices with respect to the ephemerides.
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ASTRONOMY IN THE CHURCH:
THE CLEMENTINE SUNDIAL IN SANTA MARIA DEGLI ANGELI, ROME
Prof. Costantino Sigismondi, University of Rome “La Sapienza” sigismondi@icra.it
www.santamariadegliangeliroma.it
HISTORY
Pope Clement XI (1700-1721) ordered Francesco Bianchini (1662-1729) to build a
Meridian Line. Bianchini was the Secretary of the Commission for the Calendar. He
chose the Basilica of Santa Maria degli Angeli because of the stability of its roman walls
and foundations and its suitable dimension. The Line built by Giandomenico Cassini
(1625-1712) in 1655 in San Petronio, Bologna, was the model for Bianchini, who
improved it by allowing the observation of stellar transits.
Pope Clement XI inaugurated the Great Sundial on October 6, 1702, the annual
Feast of St. Bruno, founder of the Carthusian Order, whose statue is in the entrance of the
Church. Carthusian monks ruled this Basilica for three centuries until 1884.
SCIENCE WITH THE CLEMENTINE GNOMON
Stability over centuries of the ancient walls where the pinhole is located is a requirement
for making high precision astrometry, such as the measurement of the inclination of the
Earth axis over its orbit plan.
The exact durations of mean lunar month and of tropical year were other scientific tasks
of this Meridian Line, motivated also by civil and religious exigencies. The parameters
introduced by the Gregorian reformation (1582) of the Calendar have been tested with
this instrument in the first years of work. Daily solar transits gave the exact time for
Angelus prayer at noon; the instant of vernal equinox, to which Easter is linked, was also
computable with this Line. Using the Northern Gnomon, Bianchini determined the
apparent elevation of the Celestial Pole within 1” of accuracy, the difference from the
true latitude was discovered only three decades later, due to stellar aberration.
OBSERVATION OF STARS
In the 18th century it was possible to open the window holding the southern pinhole, and,
even in daylight, stellar transits were recorded and precisely timed with pendulum
mechanical clocks. The accuracy of such clocks was better than 1 s per day, and the
observations of stellar transits allowed their synchronization with sidereal time. The
names of some bright stars are engraved on the meridian marbles in the positions that
they had in 1702. Sirius, the brightest star, is near the number 161.
Sun transits at the same altitude of Sirius as in 1702 (Feb. 4, 2005)
Bianchini reported the observations of Sirius at noon in June-July 1703. The windows of
the Basilica were darkened with external tents and, at the same time when the pinhole
solar image was crossing the floor like nowadays, the star was observed from the
telescope. The prolongation of the line of sight of the telescope on the Line corresponded
to the altitude of the star at the meridian transit. Other stars have their name and right
ascension engraved on the marbles, being the meridian altitude indicated by the position
of the brass star.
The telescope used in the observations of stars on the Clementine Line
EQUINOXES AND SOLSTICES: TROPICAL YEAR AND INCLINATION OF THE
ECLIPTIC
This hybrid feature of the Clementine Gnomon to measure solar and stellar transits
allowed Bianchini to accomplish in 1703 the whole measurement of the duration of the
tropical year, which was usually made by comparing observations very widely spread in
time. The time difference between the transit of a fixed star and that one of the Sun
produced the ecliptic longitude of the Sun, which has to be 0°, 90°, 180° and 270°
respectively for spring equinox, summer solstice, fall equinox and winter solstice. Evenly
spaced sectors of 30° longitudes are traditionally linked to the names of Zodiac Signs,
for example: Aries stands for 0° to 30° in ecliptic longitude and so on. Because of
equinoxes precession zodiac signs are no longer linked with corresponding constellations,
but only to the ecliptic longitudes of the Sun as in all classical astronomy. The
measurement of the altitude of the Sun above the horizon, which attains an extreme of the
range of all possible values, was also useful to indicate the actual value of the inclination
of Earth’s axis to the ecliptic plane, once corrected the measurement for the refraction
effect. For this purpose Bianchini used the tables of refraction computed by Cassini in
San Petronio, Bologna.
Solar images at solstices, and their altitudes. Timings of the transit on the Line.
THE SOLAR IMAGE
The solar image is produced by the pinhole at 20.34 m in height; it is an ellipse and its
minor axis is perpendicular to Line and measures ~1/100 of the distance from the
pinhole. The image is reversed according to the optical laws of camera obscura. Air
turbulence produce a continuous vibrations of the whole image at high frequency visible
even to the naked eye. This phenomenon generates an intrinsic uncertainty in the transit’s
timin
Reference
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