Category Archives: Mathematics

Specola Guestbook | October 14, 1924: Edward Phillips S.J.

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This entry is part 77 of 84 in the series Specola Guestbook

Since its founding in 1891, many people have passed through the doors of the Vatican Observatory.  A quick perusal of our guestbook reveals several Names, including Popes, Nobel laureates, astronauts, actors, and saints. Today’s guestbook entry is from October 14, 1924, when Edward Phillips made a visit. Next to his name, Fr. Edward C. Phillips S.J.  (1877-1952) wrote, “Woodstock, Maryland, U.S.A.”  At the time of his visit, he was a professor of mathematics and astronomy at Woodstock College, and also dean. This was one of at least two visits–he also signed the guestbook on Feb 9, 1938. In 1925, he would become director of the Georgetown Observatory, where he would remain until 1928, when he would be named Provincial (major superior) of the Maryland-New York Province of the Society of Jesus. He would serve as Provincial until 1935, after which he would return to Woodstock College for a time. He also served as treasurer of the New York Province (after … Continue reading →

Bah! Humbug. Science.

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This post comes from a “Science in the Bluegrass” column I wrote for The Record, the newspaper of the Archdiocese of Louisville, Kentucky. John Adams, the second president of the United States, surely was no fan of Advent. Writing to Thomas Jefferson in January of 1825, he complained of people who “believe that great Principle which has produced this boundless universe… came down to this little ball [Earth].” He added that, “until this awful blasphemy is got rid of, there never will be any liberal science in the world.” Some people today feel the same way, but rejecting not just the Incarnation, but God as well. These modern Scrooges have been sold the idea that science says we humans are nothing more than a finite number of atoms in motion, with no soul, and that the world is merely an uncreated result of random happenstance. They reject belief in anything that can’t be measured and verified through experiment. And so, … Continue reading →

Go Observe Clavius

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Christophorus Clavius Christophorus Clavius lived between the years 1537 and 1612. He would never have imagined that a crater named for him on the moon would be global news in October 2020. When I drew this very large walled plain back in 2008 all I knew about it was that it was named after a man who was a mathematician/astronomer. This week however with Clavius being in the news I had to have a closer look out of curiosity. It was time to revisit my drawing and pay attention to this area on the moon and plan to go observe Clavius once again. A flying discovery NASA’s Sofia telescope has discovered the signature of water H2O on the moon in the area of Clavius. Of course, this news supports the ARTEMIS mission planned for more exploration of our moon in the future. It also supports the SOFIA flying observatory and its multifaceted set of tasks. ESA also have future plans for … Continue reading →

Specola Guestbook | March 28, 1922: Raymond Archibald

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This entry is part 57 of 84 in the series Specola Guestbook

Since its founding in 1891, many people have passed through the doors of the Vatican Observatory.  A quick perusal of our guestbook reveals several Names, including Popes, nobel laureates, astronauts, actors, and saints. Today’s guestbook entry is from March 28, 1922, when Raymond Clare Archibald made a visit. Next to his name, Raymond Clare Archibald (1875-1955) wrote, “Professor of Pure Mathematics, Brown Univ., Providence, R.I.”  He was a mathematician, mathematics librarian, and mathematics historian. The year of his visit (1922), he was president of the Mathematical Association of America. He founded the journal Mathematical Tables and Other Aids to Computation. He edited several other mathematical journals. He grew the Brown University mathematical library into one of the preeminent resources in the field. He founded the Mary Mellish Archibald Memorial Library, which grew to over 23,000 volumes during his lifetime. He also served as librarian for the American Mathematical Society from 1921-1941.  

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Specola Guestbook | April 1, 1920: Sydney Chapman

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This entry is part 52 of 84 in the series Specola Guestbook

Since its founding in 1891, many people have passed through the doors of the Vatican Observatory.  A quick perusal of our guestbook reveals several Names, including Popes, nobel laureates, astronauts, actors, and saints. Today’s guestbook entry is from April 1, 1920 (no foolin’!), when Sydney Chapman made a visit. Next to his name, Sydney Chapman FRS (1888-1970) wrote, “Professor, The University, Manchester, lately of Greenwich Observatory.”  He was the Beyer Chair of Applied Mathematics at the University of Manchester. He was a mathematician who turned his skills to various astronomical and atmospheric phenomena.  Prior to joining the faculty at the University of Manchester in 1919, he was assistant to the Astronomer Royal Sir Frank Dyson at the Greenwich Observatory.  Much of his work there involved studying the influence of the Sun and Moon on terrestrial magnetism. He became Sedleian Chair of Natural Philosophy at Oxford in 1946. After retiring in 1953, he relocated to the US. He spent much of … Continue reading →

More Serious Sirius Business

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My post last week was about brilliant Sirius, which turns out to be a double star, comprised of a much brighter Sirius A, and a faint Sirius B.  We saw how the motions of these stars, seen in the video below, told us that the Sirius system was 8.6 light years away, and had 20+ times the sun’s luminosity.  The motion of Sirius B orbiting around Sirius A takes 50 years to complete.  The video below shows a little more than two complete orbits of Sirius B about Sirius A, from approximately 2020 to approximately 2154.  The video is a simulation, and presents what you would see if you had a very good telescope aimed at the exact same point in the sky for all that time. If the telescope is instead aimed at Sirius A, then the motion of Sirius B becomes a textbook case of an orbit—Kepler’s laws of orbital motion in action, as can be seen in … Continue reading →

A Serious Sirius Business

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The brightest star* in the sky, Sirius, the Dog Star, was the subject of a nice, short article in the March 2020 issue of Sky & Telescope magazine.  The article noted that Sirius is a double star: the Sirius that we point to in the night sky (what astronomers call “Sirius A”) is orbited by a faint companion star (“Sirius B”).  Sirius B is most difficult to see through a telescope, owing to the brightness of Sirius A—but it can be spotted, and even photographed. The motion of Sirius B around Sirius A can also be spotted.  Observe Sirius with a good telescope over a period of 50 years and you will see Sirius B complete one orbit.  The video below shows a little more than two complete orbits of Sirius B about Sirius A, from approximately 2020 to approximately 2154.  This video is a simulation made with the app Celestia.  It shows what you would see if you had … Continue reading →

Cutting Up: Math through Eyes of a Mathematician

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Over time I have had the pleasure of introducing to readers of Sacred Space Astronomy guest bloggers who are scientists, bishops, and worship directors.  Now I am pleased to introduce a mathematician.  Jeffrey Diller is Professor of Mathematics at the University of Notre Dame (currently on leave, having finished up a term as chairperson of the Department of Mathematics there).  He studies dynamical systems that arise in a complex analysis context.  He also teaches: he was awarded the Fr. James L. Schilts, C.S.C./Doris and Eugene Leonard Teaching Award at Notre Dame in 2012, the Joyce/Kaneb Award for Undergraduate Teaching in 2015, 2008, and 2003.  Since I have been running a series of posts on the topic of mathematics, I wanted a mathematician to give a mathematician’ s perspective on what is great, and what is appealing, about mathematics.  Jeff tells me that he became interested in the topic of this post in part out of his recent experience as coordinator … Continue reading →

Fr. Grienberger the Astronomer, and his Homemade Pi

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Today is “Pi Day”! This post is part of a series of posts on Pi, infinity, and other things mathematical. Click here for the series. What is Pi (π)?  We celebrate “Pi Day” on March 14 (3/14).  That is because Pi is (roughly) 3.14.  Indeed, I scheduled this post to appear at 1:59 AM, because Pi is (a little less roughly) 3.14159!  How nerdy can a guy get? So Pi is a mathematical idea that has its own day.  That is good, because astronomy involves a lot of mathematical ideas.  But still, what is Pi, and how do we know what it is? This question started bugging me after I bought my previous laptop.  For some reason the calculator “app” on this laptop was striking in a way that older calculator apps were not.  Perhaps this is because the new app was large and bold.  But at any rate, note how the button for π (that is, Pi) on the … Continue reading →

Religious Scientists: Canon Nicolaus Copernicus (1473-1543); Heliocentricism

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This entry is part 13 of 15 in the series Religious Scientists of the Catholic Church

When the name Copernicus is mentioned, what often comes to mind is the role that his heliocentric theory played in the Galileo affair. This creates the false impression of Copernicus as a controversial figure at loggerheads with Church authority. In reality, Copernicus was himself a Church figure. He was a canon (a church administrative role that at the time required ordination to minor orders) at his uncle’s diocese in Warmia. He held a doctorate in canon law. When his heliocentric system was presented to Pope Clement VII in 1533, it was favorably and enthusiastically received. Cardinal von Schoenberg of Capua encouraged him in a letter to promulgate the theory widely. In the seventy years after the publication of De Revolutionibus (until Galileo published his Siderius Nuncius) Copernicus’ work saw almost no objections on theological grounds. Biographical Sketch: Mikołaj Kopernik was born in Toruń in modern-day Poland on (it is believed) February 19, 1473. His father was a copper merchant, and … Continue reading →

The Infinite – Faith and Math (re-run)

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This post is a re-run of a post that originally ran in August, 2018. This post is part of a series of posts on Pi, infinity, and other things mathematical. Click here for the series. Why might a person see great intrinsic value in mathematical knowledge? Why might a person be a “math nerd”? Consider this lengthy quotation, from a piece written by Fr. Ron Rolheiser that was published in The Record (the newspaper of the Archdiocese of Louisville, Kentucky) some time ago,* in which Fr. Rolheiser reflects upon the words of a woman who had gone through a profound spiritual experience: What she remembers most and most wants to share with others is this: “I learned that God is very close. We have no idea how close God is to us. God is closer to us than we ever imagine!” Her experience has left her forever branded with a sense of God’s warmth, love, and welcome, but what’s left … Continue reading →

Blaise Pascal and his Wager

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Check out Blaise Pascal’s Wager on the Vatican Observatory Faith and Science site (click here for it). If you like math and science it is likely that you have encountered Blaise Pascal (1623-1662).  Perhaps you learned about Pascal’s Principle of hydraulics in a physical science class, or in an engineering technology class where you learned about machines that use hydraulics.  Or maybe you read about his work with measuring atmospheric pressure, and how he found that as he ascended a mountain the pressure he measured grew less and less.  You might have encountered Pascal’s Triangle in a math class. Pascal’s Wager involves matters of faith—sort of.  The Wager is an argument that it is reasonable to seek to believe in God.  “Seek”, because the Wager is directed to the person who neither believes nor is inclined to believe.  The Wager argues that a person risks little, and gains much, by choosing to seek belief in God.  It is all about … Continue reading →