[2] Together with Marco Antonio Cellio and Giuseppe Pontio, Eschinardi was one of the first to see the great comet of 1680 on 17 November while observing the moons of Jupiter to determine longitudes.

Bettinus' Apiaria universae philosophiae mathematicae, published in 1648, included an appendix describing a water clock (horologium hydraulicum) invented by Eschinardi.

Though still tied to certain traditional patterns, especially in astronomy with the reaffirmation of the geocentric theory, he showed a sincere admiration for the innovative work of modern scholars and the desire to follow in their footsteps by using the experimental method.

[2] In 1680 Eschinardi published an account of experiments, many of which he designed and analyzed, performed at the Physical-Mathematical Academy (Raguagli ... dati ad un'amico in Parigi [G. D. Cassini] sopra alcuni pensieri sperimentali proposti nell'Accademia Fisicomatematica di Roma.

Almost half of the Raguagli deals with traditional mechanical subjects, like load-bearing wheels (the principles of carriages being a chief interest of Ciampini's), the operation of the rudder, and the improvement of clocks.

[9] The Raguagli report various plans and results, for example, a proposal by Ciampini to build in Rome a great sundial for the exact observation of the solstices and equinoxes, as Cassini had done in Bologna, a project later accomplished by Francesco Bianchini on commission from Pope Clement XI.

Following Borelli, he maintains an anti-Aristotelian position that explains the condensation and rarefaction of air as the outcome of the motions of corpuscles having the shape of small spirals.