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124-659: Christopher Clavius , SJ (25 March 1538 – 6 February 1612) was a Jesuit German mathematician , head of mathematicians at the Collegio Romano , and astronomer who was a member of the Vatican commission that accepted the proposed calendar invented by Aloysius Lilius , that is known as the Gregorian calendar . Clavius would later write defences and an explanation of the reformed calendar, including an emphatic acknowledgement of Lilius' work. In his last years he

248-631: A Latinization of his original German name, suggesting that his name may have been Schlüssel (German for 'key', which is clavis in Latin). Clavius joined the Jesuit order in 1555. He attended the University of Coimbra in Portugal , where it is possible that he had some kind of contact with the famous mathematician Pedro Nunes ( Petrus Nonius ). Following this he went to Italy and studied theology at

372-488: A blow to the then-accepted Ptolemaic world system , which held that Earth was at the center of the universe and all other celestial bodies revolved around it. Galileo's 13 March 1610, Sidereus Nuncius ( Starry Messenger ), which announced celestial observations through his telescope, does not explicitly mention Copernican heliocentrism , a theory that placed the Sun at the center of the universe. Nevertheless, Galileo accepted

496-457: A centralised organization and stressed acceptance of any mission to which the pope might call them. His main principle became the unofficial Jesuit motto: Ad Maiorem Dei Gloriam ("For the greater glory of God"). This phrase is designed to reflect the idea that any work that is not evil can be meritorious for the spiritual life if it is performed with this intention, even things normally considered of little importance. The Society of Jesus

620-542: A faster rate than Europa or Io. Tidal dissipation in the Jovian system is still ongoing and Callisto will likely be captured into the resonance in about 1.5 billion years, creating a 1:2:4:8 chain. All four Galilean moons are bright enough to be viewed from Earth without a telescope , if only they could appear farther away from Jupiter. (They are, however, easily distinguished with even low-powered binoculars .) They have apparent magnitudes between 4.6 and 5.6 when Jupiter

744-540: A few key activities. First, they founded schools throughout Europe. Jesuit teachers were trained in both classical studies and theology , and their schools reflected this. These schools taught with a balance of Aristotelian methods with mathematics. Second, they sent out missionaries across the globe to evangelize those peoples who had not yet heard the Gospel , founding missions in widely diverse regions such as modern-day Paraguay , Japan, Ontario , and Ethiopia . One of

868-399: A fourth body, and also observed that the four were not fixed stars, but rather were orbiting Jupiter. Galileo's discovery proved the importance of the telescope as a tool for astronomers by showing that there were objects in space to be discovered that until then had remained unseen by the naked eye. More importantly, the discovery of celestial bodies orbiting something other than Earth dealt

992-407: A high number of craters, but many are gone or barely visible due to its icy crust forming over them. The satellite has a thin oxygen atmosphere that includes O, O 2 , and possibly O 3 ( ozone ), and some atomic hydrogen . Callisto (Jupiter IV) is the fourth and last Galilean moon, and is the second-largest of the four, and at 4820.6 kilometers in diameter, it is the third largest moon in

1116-631: A long and very detailed account of the country and its religion as well as treatises in Tibetan that attempted to refute key Buddhist ideas and establish the truth of Catholic Christianity. Jesuit missions in the Americas became controversial in Europe, especially in Spain and Portugal where they were seen as interfering with the proper colonial enterprises of the royal governments. The Jesuits were often

1240-504: A partner or comrade. From this came "Society of Jesus" (SJ) by which they would be known more widely. Religious orders established in the medieval era were named after particular men: Francis of Assisi (Franciscans); Domingo de Guzmán , later canonized as Saint Dominic (Dominicans); and Augustine of Hippo (Augustinians). Ignatius of Loyola and his followers appropriated the name of Jesus for their new order, provoking resentment by other orders who considered it presumptuous. The resentment

1364-656: A place of study in Louvain (1614). This was the earliest foundation of what would later be called Heythrop College . Campion Hall , founded in 1896, has been a presence within Oxford University since then. 16th and 17th-century Jesuit institutions intended to train priests were hotbeds for the persecution of Catholics in Britain, where men suspected of being Catholic priests were routinely imprisoned, tortured, and executed. Jesuits were among those killed, including

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1488-511: A professor during his time at the College. The exact number of students that Clavius taught is unclear, but in a letter from Christoph Grienberger to Clavius in 1595, it is stated that at that time, Clavius had around ten students. The exact structure of the courses and how they were taught is unclear. There has been no evidence to show whether the students he taught shared classes or the specific material he chose to cover. The purpose for founding

1612-416: A result of the gravitational field of Jupiter in inverse proportion to the square of their distance from the giant planet. In all but Callisto this will have melted the interior ice, allowing rock and iron to sink to the interior and water to cover the surface. In Ganymede a thick and solid ice crust then formed. In warmer Europa a thinner more easily broken crust formed. In Io the heating is so extreme that all

1736-532: A result the numbering scheme that is still used nowadays, in parallel with proper moon names. The numbers run from Jupiter outward, thus I, II, III and IV for Io, Europa, Ganymede, and Callisto respectively. Galileo used this system in his notebooks but never actually published it. The numbered names (Jupiter x ) were used until the mid-20th century when other inner moons were discovered, and Marius' names became widely used. Galileo's discovery had practical applications. Safe navigation required accurately determining

1860-402: A salt-water ocean is believed to exist nearly 200 km below Ganymede's surface, sandwiched between layers of ice. The metallic core of Ganymede suggests a greater heat at some time in its past than had previously been proposed. The surface is a mix of two types of terrain—highly cratered dark regions and younger, but still ancient, regions with a large array of grooves and ridges. Ganymede has

1984-423: A ship's position at sea. While latitude could be measured well enough by local astronomical observations, determining longitude required knowledge of the time of each observation synchronized to the time at a reference longitude. The longitude problem was so important that large prizes were offered for its solution at various times by Spain, Holland, and Britain. Galileo proposed determining longitude based on

2108-486: A singular sign, to reveal to my Lord my devotion and the desire I have that his glorious name live as equal among the stars, and since it is up to me, the first discoverer, to name these new planets, I wish, in imitation of the great sages who placed the most excellent heroes of that age among the stars, to inscribe these with the name of the Most Serene Grand Duke." Galileo initially called his discovery

2232-643: A sound footing, introducing the Tridentine Reforms and finding suitable men to fill vacant sees. He established a house of religious women in Limerick known as the Menabochta ("poor women" ) and in 1565 preparations began for establishing a school at Limerick. At his instigation, Richard Creagh , a priest of the Diocese of Limerick, was persuaded to accept the vacant Archdiocese of Armagh , and

2356-404: A special obedience to the sovereign pontiff in regard to the missions" to the effect that a Jesuit is expected to be directed by the pope " perinde ac cadaver " ("as if he was a lifeless body") and to accept orders to go anywhere in the world, even if required to live in extreme conditions. This was so because Ignatius, its leading founder, was a nobleman who had a military background. Accordingly,

2480-515: A substantial fraction (several tenths of a percent) of the mass of Jupiter captured from the Solar nebula was processed through it. However, the disk mass of only 2% that of Jupiter is required to explain the existing satellites. Thus there may have been several generations of Galilean-mass satellites in Jupiter's early history. Each generation of moons would have spiraled into Jupiter, due to drag from

2604-493: A subsurface ocean of liquid water at depths less than 300 kilometres. The likely presence of an ocean within Callisto indicates that it can or could harbour life . However, this is less likely than on nearby Europa . Callisto has long been considered the most suitable place for a human base for future exploration of the Jupiter system since it is furthest from the intense radiation of Jupiter's magnetic field. Fluctuations in

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2728-690: A thief or noted evildoer". After being court-martialled by the Lord President of Munster, Sir John Perrot , he was sentenced to be hanged, drawn, and quartered for treason and refused pardon in return for swearing the Act of Supremacy . His execution was carried out on 25 October 1572 and a report of it was sent by Fitzmaurice to the Jesuit Superior General in 1576, where he said that Daniel was "cruelly killed because of me". Galilean moons They are planetary-mass moons and among

2852-564: A time been predominantly Protestant, notably Poland and Lithuania . Today, Jesuit colleges and universities are located in over one hundred nations around the world. Under the notion that God can be encountered through created things and especially art, they encouraged the use of ceremony and decoration in Catholic ritual and devotion. Perhaps as a result of this appreciation for art, coupled with their spiritual practice of "finding God in all things", many early Jesuits distinguished themselves in

2976-486: A water ocean exists beneath it, which could conceivably serve as an abode for extraterrestrial life . Heat energy from tidal flexing ensures that the ocean remains liquid and drives geological activity. Life may exist in Europa's under-ice ocean. So far, there is no evidence that life exists on Europa, but the likely presence of liquid water has spurred calls to send a probe there. The prominent markings that criss-cross

3100-501: Is a degree of uncertainty around his records. In 1605, Galileo had been employed as a mathematics tutor for Cosimo de' Medici . In 1609, Cosimo became Grand Duke Cosimo II of Tuscany . Galileo, seeking patronage from his now-wealthy former student and his powerful family, used the discovery of Jupiter's moons to gain it. On 13 February 1610, Galileo wrote to the Grand Duke's secretary: "God graced me with being able, through such

3224-649: Is a member of a Society founded chiefly for this purpose: to strive especially for the defence and propagation of the faith and for the progress of souls in Christian life and doctrine, by means of public preaching, lectures and any other ministration whatsoever of the Word of God, and further by means of retreats, the education of children and unlettered persons in Christianity, and the spiritual consolation of Christ's faithful through hearing confessions and administering

3348-418: Is classified among institutes as an order of clerks regular , that is, a body of priests organized for apostolic work, and following a religious rule. The term Jesuit (of 15th-century origin, meaning "one who used too frequently or appropriated the name of Jesus") was first applied to the society in reproach (1544–1552). The term was never used by Ignatius of Loyola, but over time, members and friends of

3472-560: Is composed of approximately equal amounts of rock and ices , which makes it the least dense of the Galilean moons. It is one of the most heavily cratered satellites in the Solar System, and one major feature is a basin around 3000 km wide called Valhalla . Callisto is surrounded by an extremely thin atmosphere composed of carbon dioxide and probably molecular oxygen . Investigation revealed that Callisto may possibly have

3596-789: Is consecrated under the patronage of Madonna della Strada , a title of the Blessed Virgin Mary , and it is led by a superior general . The headquarters of the society, its general curia , is in Rome. The historic curia of Ignatius is now part of the Collegio del Gesù attached to the Church of the Gesù , the Jesuit mother church . Members of the Society of Jesus make profession of "perpetual poverty, chastity, and obedience" and "promise

3720-441: Is equally distributed, suggesting that it has no rocky or metallic core but consists of a homogeneous mix of rock and ice. This may well have been the original structure of all the moons. The rotation of the three inner moons, in contrast, indicates differentiation of their interiors with denser matter at the core and lighter matter above. They also reveal significant alteration of the surface. Ganymede reveals past tectonic movement of

3844-494: Is in opposition with the Sun, and are about one unit of magnitude dimmer when Jupiter is in conjunction . The main difficulty in observing the moons from Earth is their proximity to Jupiter, since they are obscured by its brightness. The maximum angular separations of the moons are between 2 and 10 arcminutes from Jupiter, which is close to the limit of human visual acuity . Ganymede and Callisto, at their maximum separation, are

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3968-523: Is much blamed by the poets on account of his irregular loves. Three maidens are especially mentioned as having been clandestinely courted by Jupiter with success. Io, daughter of the River Inachus, Callisto of Lycaon, Europa of Agenor. Then there was Ganymede, the handsome son of King Tros, whom Jupiter, having taken the form of an eagle, transported to heaven on his back, as poets fabulously tell... I think, therefore, that I shall not have done amiss if

4092-481: Is now the Gregorian calendar used worldwide. Within the Jesuit order, Clavius was almost single-handedly responsible for the adoption of a rigorous mathematics curriculum in an age where mathematics was often ridiculed by philosophers as well as fellow Jesuits like Benito Pereira . In logic , Clavius' Law (inferring of the truth of a proposition from the inconsistency of its negation) is named after him. He used

4216-479: Is primarily composed of silicate rock surrounding a molten iron or iron sulfide core. Although not proven, data from the Galileo orbiter indicates that Io might have its own magnetic field. Io has an extremely thin atmosphere made up mostly of sulfur dioxide (SO 2 ). If a surface data or collection vessel were to land on Io in the future, it would have to be extremely tough (similar to the tank -like bodies of

4340-429: Is the largest natural satellite in the Solar System at 5262.4 kilometers in diameter, which makes it larger than the planet Mercury – although only at about half of its mass since Ganymede is an icy world. It is the only satellite in the Solar System known to possess a magnetosphere , likely created through convection within the liquid iron core. Ganymede is composed primarily of silicate rock and water ice, and

4464-584: Is the founding document of the Society of Jesus as an official Catholic religious order. Ignatius was chosen as the first Superior General . Paul III's bull had limited the number of its members to sixty. This limitation was removed through the bull Exposcit debitum of Julius III in 1550. In 1543, Peter Canisius entered the Company. Ignatius sent him to Messina, where he founded the first Jesuit college in Sicily . Ignatius laid out his original vision for

4588-418: Is thought to contain 8% ice and water by mass with the remainder rock. These moons are, in increasing order of distance from Jupiter: Io (Jupiter I) is the innermost of the four Galilean moons of Jupiter; with a diameter of 3642 kilometers, it is the fourth-largest moon in the Solar System, and is only marginally larger than Earth's moon . It was named after Io , a priestess of Hera who became one of

4712-921: The Spiritual Exercises to help others follow the teachings of Jesus Christ . On 15 August 1534, Ignatius of Loyola (born Íñigo López de Loyola), a Spaniard from the Basque city of Loyola , and six others mostly of Castilian origin, all students at the University of Paris , met in Montmartre outside Paris, in a crypt beneath the church of Saint Denis , now Saint Pierre de Montmartre , to pronounce promises of poverty, chastity, and obedience. Ignatius' six companions were: Francisco Xavier from Navarre ( modern Spain ), Alfonso Salmeron , Diego Laínez , Nicolás Bobadilla from Castile ( modern Spain ), Peter Faber from Savoy , and Simão Rodrigues from Portugal . The meeting has been commemorated in

4836-754: The Cosmica Sidera ("Cosimo's stars"), in honour of Cosimo alone. Cosimo's secretary suggested to change the name to Medicea Sidera ("the Medician stars "), honouring all four Medici brothers (Cosimo, Francesco, Carlo , and Lorenzo). The discovery was announced in the Sidereus Nuncius ("Starry Messenger"), published in Venice in March 1610, less than two months after the first observations. On 12 March 1610, Galileo wrote his dedicatory letter to

4960-696: The Counter-Reformation and, later, in the implementation of the Second Vatican Council . Jesuit missionaries established missions around the world from the 16th to the 18th century and had both successes and failures in Christianizing the native peoples. The Jesuits have always been controversial within the Catholic Church and have frequently clashed with secular governments and institutions. Beginning in 1759,

5084-728: The First Nations and Native American languages they had learned. For instance, before his death in 1708, Jacques Gravier , vicar general of the Illinois Mission in the Mississippi River valley, compiled a Miami–Illinois –French dictionary , considered the most extensive among works of the missionaries. Extensive documentation was left in the form of The Jesuit Relations , published annually from 1632 until 1673. Whereas Jesuits were active in Britain in

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5208-866: The Jesuit Order or the Jesuits ( / ˈ dʒ ɛ ʒ u ɪ t s , ˈ dʒ ɛ zj u -/ JEZH -oo-its, JEZ -ew- ; Latin: Iesuitae ), is a religious order of clerics regular of pontifical right for men in the Catholic Church headquartered in Rome. It was founded in 1540 by Ignatius of Loyola and six companions, with the approval of Pope Paul III . The society is engaged in evangelization and apostolic ministry in 112 nations. Jesuits work in education, research, and cultural pursuits. Jesuits also conduct retreats, minister in hospitals and parishes, sponsor direct social and humanitarian ministries, and promote ecumenical dialogue . The Society of Jesus

5332-519: The Kangxi Emperor and many Jesuit converts that Chinese veneration of ancestors and Confucius was a nonreligious token of respect, Pope Clement XI 's papal decree Cum Deus Optimus ruled that such behavior constituted impermissible forms of idolatry and superstition in 1704; his legate Tournon and Bishop Charles Maigrot of Fujian, tasked with presenting this finding to the Kangxi Emperor , displayed such extreme ignorance that

5456-670: The Liturgy of Hours in common) allowed them to be flexible and meet diverse needs arising at the time. After much training and experience in theology, Jesuits went across the globe in search of converts to Christianity. Despite their dedication, they had little success in Asia, except in the Philippines . For instance, early missions in Japan resulted in the government granting the Jesuits

5580-691: The Martyrium of Saint Denis, Montmartre . They called themselves the Compañía de Jesús , and also Amigos en El Señor or "Friends in the Lord", because they felt "they were placed together by Christ." The name "company" had echoes of the military (reflecting perhaps Ignatius' background as Captain in the Spanish army) as well as of discipleship (the "companions" of Jesus). The Spanish "company" would be translated into Latin as societas like in socius ,

5704-621: The Petrine primacy and the priority of the Mass amongst the sacraments with his students and congregation, and that his sermons should emphasize obedience to secular princes if he wished to avoid arrest. The number of scholars in their care was very small. An early example of a school play in Ireland is sent in one of Good's reports, which was performed on the Feast of St. John in 1566. The school

5828-494: The Protestant Reformation throughout Catholic Europe. Ignatius and the early Jesuits did recognize, though, that the hierarchical church was in dire need of reform. Some of their greatest struggles were against corruption, venality , and spiritual lassitude within the Catholic Church. Ignatius insisted on a high level of academic preparation for the clergy in contrast to the relatively poor education of much of

5952-629: The Scholastic structure of Catholic thought. This method of teaching was important in the context of the Scientific Revolution, as these universities were open to teaching new scientific and mathematical methodology. Further, many important thinkers of the Scientific Revolution were educated by Jesuit universities. In addition to the teachings of faith , the Jesuit Ratio Studiorum (1599) would standardize

6076-485: The Spiritual Exercises . During a four-week period of silence, individuals undergo a series of directed meditations on the purpose of life and contemplations on the life of Christ. They meet regularly with a spiritual director who guides their choice of exercises and helps them to develop a more discerning love for Christ. The retreat follows a "Purgative-Illuminative-Unitive" pattern in the tradition of

6200-502: The decimal point in the goniometric tables of his astrolabium in 1593 and he was one of the first who used it in this way in the West. Clavius wrote a commentary on the most important astronomical textbook of the late Middle Ages, De Sphaera of Johannes de Sacrobosco . The commentary by Clavius was one of the most influential astronomy textbooks of its time and had at least 16 editions between 1570 and 1618, with Clavius himself revising

6324-459: The largest objects in the Solar System . All four, along with Titan , Triton , and Earth's Moon , are larger than any of the Solar System's dwarf planets . The largest, Ganymede, is the largest moon in the Solar System and surpasses the planet Mercury in size (though not mass). Callisto is only slightly smaller than Mercury in size; the smaller ones, Io and Europa, are about the size of

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6448-557: The telescope , with a magnifying capability of 20×, he was able to see celestial bodies more distinctly than was previously possible. This allowed Galileo to observe in either December 1609 or January 1610 what came to be known as the Galilean moons. On 7 January 1610, Galileo wrote a letter containing the first mention of Jupiter's moons. At the time, he saw only three of them, and he believed them to be fixed stars near Jupiter. He continued to observe these celestial orbs from 8 January to 2 March 1610. In these observations, he discovered

6572-522: The 16th and 17th centuries introduced Western science and astronomy, then undergoing its own revolution , to China. The scientific revolution brought by the Jesuits coincided with a time when scientific innovation had declined in China: [The Jesuits] made efforts to translate western mathematical and astronomical works into Chinese and aroused the interest of Chinese scholars in these sciences. They made very extensive astronomical observation and carried out

6696-594: The 16th century, due to the persecution of Catholics in the Elizabethan times, an English province was only established in 1623. The first pressing issue for early Jesuits in what today is the United Kingdom was to establish places for training priests. After an English College was opened in Rome (1579), a Jesuit seminary was opened at Valladolid (1589), then one in Seville (1592), which culminated in

6820-588: The Academy as an official course at the Collegio Romano, but there was opposition from the philosophers at the College. The Academy remained an unofficial curriculum until 1593 or 1594. Upon its eventual founding, the Academy required nomination by the Professor of Mathematics for admission. Clavius taught the advanced course within the Academy, but little is known about his specific teachings and work as

6944-410: The Academy of Mathematics until 1610 in an official capacity and for two more years until 1612 in an informal role. The Academy existed in an informal capacity for many years before Clavius arrived in Rome in 1561. However, in 1580 in his document titled Ordo servandus in addiscendis disciplinis mathematicis, Clavius described a detailed curriculum for mathematics to have the College officially recognize

7068-475: The Academy was to train technical specialists, to expand the pedagogical corps to support the growing need for professors, as the number of colleges at the time was rapidly increasing, as well as the training of missionaries in order to support their efforts in remote places. With the purpose of the Academy clear, most of what Clavius and his students did in the Academy is unknown. This lack of detailed information has led to most of what Clavius did during his years at

7192-482: The Academy. The curriculum he proposed contained three different curricula aiming to educate new Jesuits in mathematics. The curriculum contained three different courses: one year, a two-year, and a three-year. The course material to be covered were optics , statics , astronomy, and acoustics , emphasizing mathematics. His request was eventually denied, but nonetheless he was given the title of Professor of Mathematics. Clavius made another attempt in 1586 to establish

7316-589: The Catholic Church expelled Jesuits from most countries in Europe and from European colonies. Pope Clement XIV officially suppressed the order in 1773. In 1814, the Church lifted the suppression. Ignatius of Loyola , a Basque nobleman from the Pyrenees area of northern Spain, founded the society after discerning his spiritual vocation while recovering from a wound sustained in the Battle of Pamplona . He composed

7440-439: The College falling into obscurity. Clavius and Galileo Galilei often shared correspondence during his time at the College, discussing proofs and theories. It is likely that while running the Academy, he was also writing to Galileo and sharing his notes from the College's logic course to help Galileo in his endeavors to be able to adequately explain and demonstrate his ideas to others, which is something Galileo had struggled with in

7564-543: The Copernican theory. A Chinese historian of astronomy, Xi Zezong , has claimed that a "small reddish star" observed near Jupiter in 364 BCE by Chinese astronomer Gan De may have been Ganymede. If true, this might predate Galileo's discovery by around two millennia. The observations of Simon Marius are another noted example of observation, and he later reported observing the moons in 1609. However, because he did not publish these findings until after Galileo, there

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7688-452: The Duke of Tuscany, and the next day sent a copy to the Grand Duke, hoping to obtain the Grand Duke's support as quickly as possible. On 19 March, he sent the telescope he had used to first view Jupiter's moons to the Grand Duke, along with an official copy of Sidereus Nuncius ( The Starry Messenger ) that, following the secretary's advice, named the four moons the Medician Stars. In his dedicatory introduction, Galileo wrote: Scarcely have

7812-482: The First is called by me Io, the Second Europa, the Third, on account of its majesty of light, Ganymede, the Fourth Callisto... This fancy, and the particular names given, were suggested to me by Kepler, Imperial Astronomer, when we met at Ratisbon fair in October 1613. So if, as a jest, and in memory of our friendship then begun, I hail him as joint father of these four stars, again I shall not be doing wrong. Galileo steadfastly refused to use Marius' names and invented as

7936-532: The Japanese Language", a Japanese–Portuguese dictionary written 1603); Vietnamese (Portuguese missionaries created the Vietnamese alphabet , which was later formalized by Avignon missionary Alexandre de Rhodes with his 1651 trilingual dictionary ); Tupi (the main language of Brazil); and the pioneering study of Sanskrit in the West by Jean François Pons in the 1740s. Jesuit missionaries were active among indigenous peoples in New France in North America, many of them compiling dictionaries or glossaries of

8060-469: The Jesuit Collegio Romano in Rome . He was ordained in 1564, and 15 years later was assigned to compute the basis for a reformed calendar that would stop the slow process in which the Church's holidays were drifting relative to the seasons of the year. Using the Prussian Tables of Erasmus Reinhold and building on the work of Aloysius Lilius, he proposed a calendar reform that was adopted in 1582 in Catholic countries by order of Pope Gregory XIII and

8184-497: The Maker of the Stars himself, by clear arguments, admonished me to call these new planets by the illustrious name of Your Highness before all others. Other names put forward include: The names that eventually prevailed were chosen by Simon Marius , who discovered the moons independently at the same time as Galileo: he named them at the suggestion of Johannes Kepler after lovers of the god Zeus (the Greek equivalent of Jupiter), in his Mundus Jovialis , published in 1614: Jupiter

8308-481: The Moon. The three inner moons — Io, Europa, and Ganymede — are in a 4:2:1 orbital resonance with each other. While the Galilean moons are spherical, all of Jupiter 's remaining moons have irregular forms because they are too small for their self-gravitation to pull them into spheres. The Galilean moons are named after Galileo Galilei , who observed them in either December 1609 or January 1610, and recognized them as satellites of Jupiter in March 1610; they remained

8432-412: The Pope, and the Ottoman Empire , had rendered any journey to Jerusalem impossible. Again in 1540, they presented the project to Paul III. After months of dispute, a congregation of cardinals reported favourably upon the Constitution presented, and Paul III confirmed the order through the bull Regimini militantis ecclesiae ("To the Government of the Church Militant"), on 27 September 1540. This

8556-436: The Portuguese Province to agree a surety for the ransom of Wolfe, who was quickly banished on release. Daniel returned to Ireland the following year, but was immediately captured and incriminating documents were found on his person, which were taken as proof of his involvement with the rebellious cousin of the Earl of Desmond , James Fitzmaurice and a Spanish plot. He was removed from Limerick, taken to Cork "just as if he were

8680-430: The Solar System, and barely smaller than Mercury, though only a third of the latter's mass. It is named after the Greek mythological nymph Callisto , a lover of Zeus who was a daughter of the Arkadian King Lykaon and a hunting companion of the goddess Artemis. The moon does not form part of the orbital resonance that affects three inner Galilean satellites and thus does not experience appreciable tidal heating . Callisto

8804-399: The Soviet Venera landers) to survive the radiation and magnetic fields that originate from Jupiter. Europa (Jupiter II), the second of the four Galilean moons, is the second closest to Jupiter and the smallest at 3121.6 kilometers in diameter, which is slightly smaller than Earth's Moon . The name comes from a mythical Phoenician noblewoman, Europa , who was courted by Zeus and became

8928-453: The call for the society's suppression. Jesuit priests such as Manuel da Nóbrega and José de Anchieta founded several towns in Brazil in the 16th century, including São Paulo and Rio de Janeiro , and were very influential in the pacification, religious conversion , and education of indigenous nations. They also built schools, organized people into villages, and created a writing system for

9052-650: The city for eight months, before moving to Kilmallock in December 1565 under the protection of the Earl of Desmond, where they lived in more comfort than the primitive conditions they experienced in the city. However they were unable to support themselves at Kilmallock and three months later they returned to the city in Easter 1566, and strangely set up their house in accommodation owned by the Lord Deputy of Ireland, which

9176-491: The city in very bad health, but had recovered due to the kindness of the people. They established contact with Wolfe, but were only able to meet with him at night, as the English authorities were attempting to arrest the legate. Wolfe charged them initially with teaching to the boys of Limerick, with an emphasis on religious instruction, and Good translated the catechism from Latin into English for this purpose. They remained in

9300-466: The clergy of his time. The Jesuit vow against "ambitioning prelacies" can be seen as an effort to counteract another problem evidenced in the preceding century. Ignatius and the Jesuits who followed him believed that the reform of the church had to begin with the conversion of an individual's heart. One of the main tools the Jesuits have used to bring about this conversion is the Ignatian retreat, called

9424-483: The disk, with new moons then forming from the new debris captured from the Solar nebula. By the time the present (possibly fifth) generation formed, the disk had thinned out to the point that it no longer greatly interfered with the moons' orbits. The current Galilean moons were still affected, falling into and being partially protected by an orbital resonance which still exists for Io, Europa, and Ganymede. Ganymede's larger mass means that it would have migrated inward at

9548-546: The emperor mandated the expulsion of Christian missionaries unable to abide by the terms of Ricci's Chinese catechism. Tournon's summary and automatic excommunication for any violators of Clement's decree  – upheld by the 1715 bull Ex Illa Die  – led to the swift collapse of all the missions in China; the last Jesuits were finally expelled after 1721. The first Jesuit school in Ireland

9672-636: The end of 1568 the Anglican Bishop of Meath, Hugh Brady , was sent to Limerick charged with a Royal Commission to seek out and expel the Jesuits. Daniel was immediately ordered to quit the city and went to Lisbon, where he resumed his studies with the Portuguese Jesuits. Good moved on to Clonmel , before establishing himself at Youghal until 1577. In 1571, after Wolfe had been captured and imprisoned at Dublin Castle , Daniel persuaded

9796-649: The feudal fiefdom of Nagasaki in 1580. This was removed in 1587 due to fears over their growing influence. Jesuits did, however, have much success in Latin America. Their ascendancy in societies in the Americas accelerated during the seventeenth century, wherein Jesuits created new missions in Peru , Colombia , and Bolivia ; as early as 1603, there were 345 Jesuit priests in Mexico alone. Francis Xavier , one of

9920-591: The first Roman-style academic institution in the East, St. Paul Jesuit College in Macau , China. Founded by Alessandro Valignano , it had a great influence on the learning of Eastern languages (Chinese and Japanese) and culture by missionary Jesuits, becoming home to the first western sinologists such as Matteo Ricci . Jesuit efforts in Goa were interrupted by the expulsion of the Jesuits from Portuguese territories in 1759 by

10044-608: The first modern cartographic work in China. They also learned to appreciate the scientific achievements of this ancient culture and made them known in Europe. Through their correspondence, European scientists first learned about the Chinese science and culture. For over a century, Jesuits such as Michele Ruggieri , Matteo Ricci , Diego de Pantoja , Philippe Couplet , Michal Boym , and François Noël refined translations and disseminated Chinese knowledge , culture , history , and philosophy to Europe. Their Latin works popularized

10168-409: The ice surface which required partial melting of subsurface layers. Europa reveals more dynamic and recent movement of this nature, suggesting a thinner ice crust. Finally, Io, the innermost moon, has a sulfur surface, active volcanism and no sign of ice. All this evidence suggests that the nearer a moon is to Jupiter the hotter its interior. The current model is that the moons experience tidal heating as

10292-423: The immortal graces of your soul begun to shine forth on earth than bright stars offer themselves in the heavens which, like tongues, will speak of and celebrate your most excellent virtues for all time. Behold, therefore, four stars reserved for your illustrious name ... which ... make their journeys and orbits with a marvelous speed around the star of Jupiter ... like children of the same family ... Indeed, it appears

10416-428: The importance of the telescope as a tool for astronomers by proving that there were objects in space that cannot be seen by the naked eye. The discovery of celestial bodies orbiting something other than Earth dealt a serious blow to the then-accepted (among educated Europeans) Ptolemaic world system , a geocentric theory in which everything orbits around Earth. As a result of improvements that Galileo Galilei made to

10540-499: The late Renaissance were significant in their roles both as a missionary order and as the first religious order to operate colleges and universities as a principal and distinct ministry. By the time of Ignatius' death in 1556, the Jesuits were already operating a network of 74 colleges on three continents. A precursor to liberal education , the Jesuit plan of studies incorporated the Classical teachings of Renaissance humanism into

10664-415: The local languages of Brazil. José de Anchieta and Manuel da Nóbrega were the first Jesuits that Ignacio de Loyola sent to the Americas. Jesuit scholars working in foreign missions were very dedicated in studying the local languages and strove to produce Latinized grammars and dictionaries . This included: Japanese (see Nippo jisho , also known as Vocabvlario da Lingoa de Iapam , "Vocabulary of

10788-415: The lovers of Zeus . It was referred to as "Jupiter I", or "The first satellite of Jupiter" until the mid-20th century. With over 400 active volcanos, Io is the most geologically active object in the Solar System. Its surface is dotted with more than 100 mountains, some of which are taller than Earth's Mount Everest . Unlike most satellites in the outer Solar System (which have a thick coating of ice), Io

10912-495: The markings is theorized to be caused by sulfur, but because no data collection devices have been sent to Europa, scientists cannot yet confirm this. Europa is primarily made of silicate rock and likely has an iron core. It has a tenuous atmosphere composed primarily of oxygen . Ganymede (Jupiter III), the third Galilean moon, is named after the mythological Ganymede , cupbearer of the Greek gods and Zeus 's beloved. Ganymede

11036-428: The moon seem to be mainly albedo features , which emphasize low topography. There are few craters on Europa because its surface is tectonically active and young. Some theories suggest that Jupiter's gravity is causing these markings, as one side of Europa is constantly facing Jupiter. Volcanic water eruptions splitting the surface of Europa and even geysers have also been considered as causes. The reddish-brown color of

11160-530: The name " Confucius " and had considerable influence on the Deists and other Enlightenment thinkers, some of whom were intrigued by the Jesuits' attempts to reconcile Confucian morality with Catholicism . Upon the arrival of the Franciscans and other monastic orders, Jesuit accommodation of Chinese culture and rituals led to the long-running Chinese Rites controversy . Despite the personal testimony of

11284-786: The namesake of Campion Hall, as well as Brian Cansfield, Ralph Corbington , and many others. A number of them were canonized among the Forty Martyrs of England and Wales . Four Jesuit churches remain today in London alone, with three other places of worship remaining extant in England and two in Scotland . The Jesuits first entered China through the Portuguese settlement on Macau , where they settled on Green Island and founded St. Paul's College . The Jesuit China missions of

11408-588: The new discoveries as genuine, though he retained doubts about the reality of the mountains on the Moon and said he could not see the four Jupiter's satellites through the telescope. Later, a large crater on the Moon was named in his honor. During his time at Collegio Romano Clavius served as the head of the mathematicians , a public professor of mathematics, and as the Director of Advanced Instruction and Research at

11532-485: The new order in the "Formula of the Institute of the Society of Jesus", which is "the fundamental charter of the order, of which all subsequent official documents were elaborations and to which they had to conform". He ensured that his formula was contained in two papal bulls signed by Pope Paul III in 1540 and by Pope Julius III in 1550. The formula expressed the nature, spirituality, community life, and apostolate of

11656-673: The new religious order. Its famous opening statement echoed Ignatius' military background: Whoever desires to serve as a soldier of God beneath the banner of the Cross in our Society, which we desire to be designated by the Name of Jesus, and to serve the Lord alone and the Church, his spouse, under the Roman Pontiff, the Vicar of Christ on earth, should, after a solemn vow of perpetual chastity, poverty and obedience, keep what follows in mind. He

11780-504: The only force standing between the Indigenous and slavery . Together throughout South America but especially in present-day Brazil and Paraguay , they formed Indigenous Christian city-states, called " reductions ". These were societies set up according to an idealized theocratic model. The efforts of Jesuits like Antonio Ruiz de Montoya to protect the natives from enslavement by Spanish and Portuguese colonizers would contribute to

11904-597: The only known moons of Jupiter until the discovery of the fifth largest moon of Jupiter Amalthea in 1892. Galileo initially named his discovery the Cosmica Sidera (" Cosimo 's stars") or Medicean Stars , but the names that eventually prevailed were chosen by Simon Marius . Marius discovered the moons independently at nearly the same time as Galileo, 8 January 1610, and gave them their present individual names, after mythological characters that Zeus seduced or abducted , which were suggested by Johannes Kepler in his Mundus Jovialis , published in 1614. Their discovery showed

12028-402: The opening lines of the founding document declared that the society was founded for "whoever desires to serve as a soldier of God, to strive especially for the defense and propagation of the faith, and for the progress of souls in Christian life and doctrine". Jesuits are thus sometimes referred to colloquially as "God's soldiers", "God's marines", or "the Company". The society participated in

12152-653: The opposition; there were already congregations named after the Trinity and as "God's daughters". In 1537, the seven travelled to Italy to seek papal approval for their order . Pope Paul III gave them a commendation, and permitted them to be ordained priests. These initial steps led to the official founding in 1540. They were ordained in Venice by the bishop of Arbe (24 June). They devoted themselves to preaching and charitable work in Italy . The Italian War of 1536–1538 renewed between Charles V, Holy Roman Emperor , Venice,

12276-407: The orbits of the moons indicate that their mean density decreases with distance from Jupiter. Callisto, the outermost and least dense of the four, has a density intermediate between ice and rock whereas Io, the innermost and densest moon, has a density intermediate between rock and iron. Callisto has an ancient, heavily cratered and unaltered ice surface and the way it rotates indicates that its density

12400-546: The original companions of Loyola , arrived in Goa ( Portuguese India ) in 1541 to carry out evangelical service in the Indies. In a 1545 letter to John III of Portugal, he requested an Inquisition to be installed in Goa to combat heresies like crypto-Judaism and crypto-Islam. Under Portuguese royal patronage , Jesuits thrived in Goa and until 1759 successfully expanded their activities to education and healthcare. In 1594 they founded

12524-614: The original seven arrived in India already in 1541. Finally, though not initially formed for the purpose, they aimed to stop Protestantism from spreading and to preserve communion with Rome and the pope . The zeal of the Jesuits overcame the movement toward Protestantism in the Polish–Lithuanian Commonwealth and southern Germany . Ignatius wrote the Jesuit Constitutions , adopted in 1553, which created

12648-403: The other sacraments. Moreover, he should show himself ready to reconcile the estranged, compassionately assist and serve those who are in prisons or hospitals, and indeed, to perform any other works of charity, according to what will seem expedient for the glory of God and the common good. In fulfilling the mission of the "Formula of the Institute of the Society", the first Jesuits concentrated on

12772-575: The past, specifically when trying to convince Clavius of his methods. Following his death in 1612, informal courses in the Academy continued at the College. However, due to the lack of mention of mathematicians in the College's catalog after 1615, it appears the Academy's official recognition by the Collegio Romano ended soon after Christopher Clavius's death. Clavius' complete mathematical works (5 volumes, Mainz, 1611–1612) are available online . Society of Jesus The Society of Jesus ( Latin : Societas Iesu ; abbreviation: SJ ), also known as

12896-709: The powerful Marquis of Pombal , Secretary of State in Portugal. The Portuguese Jesuit António de Andrade founded a mission in Western Tibet in 1624 (see also " Catholic Church in Tibet "). Two Jesuit missionaries, Johann Grueber and Albert Dorville , reached Lhasa , in Tibet, in 1661. The Italian Jesuit Ippolito Desideri established a new Jesuit mission in Lhasa and Central Tibet (1716–21) and gained an exceptional mastery of Tibetan language and culture, writing

13020-416: The queen of Crete , though the name did not become widely used until the mid-20th century. It has a smooth and bright surface, with a layer of water surrounding the mantle of the planet, thought to be 100 kilometers thick. The smooth surface includes a layer of ice, while the bottom of the ice is theorized to be liquid water. The apparent youth and smoothness of the surface have led to the hypothesis that

13144-441: The rock has melted and water has long ago boiled out into space. Jupiter's regular satellites are believed to have formed from a circumplanetary disk, a ring of accreting gas and solid debris analogous to a protoplanetary disk . They may be the remnants of a score of Galilean-mass satellites that formed early in Jupiter's history. Simulations suggest that, while the disk had a relatively high mass at any given moment, over time

13268-564: The sacraments to the public. In late 1568 the Castle Lane School, in the presence of Daniel and Good, was attacked and looted by government agents sent by Sir Thomas Cusack during the pacification of Munster. The political and religious climate had become more uncertain in the lead up to Pope Pius V 's formal excommunication of Queen Elizabeth I , which resulted in a new wave of repression of Catholicism in England and Ireland. At

13392-468: The society adopted the name with a positive meaning. While the order is limited to men, Joanna of Austria, Princess of Portugal , favored the order and she is reputed to have been admitted surreptitiously under a male pseudonym. The Jesuits were founded just before the Council of Trent (1545–1563) and ensuing Counter-Reformation that would introduce reforms within the Catholic Church, and so counter

13516-528: The spirituality of John Cassian and the Desert Fathers . Ignatius' innovation was to make this style of contemplative mysticism available to all people in active life. Further, he used it as a means of rebuilding the spiritual life of the church. The Exercises became both the basis for the training of Jesuits and one of the essential ministries of the order: giving the exercises to others in what became known as "retreats". The Jesuits' contributions to

13640-435: The study of Latin , Greek , classical literature, poetry, and philosophy as well as non-European languages, sciences, and the arts. Furthermore, Jesuit schools encouraged the study of vernacular literature and rhetoric , and thereby became important centres for the training of lawyers and public officials. The Jesuit schools played an important part in winning back to Catholicism a number of European countries which had for

13764-421: The text seven times and in each case greatly expanding it. In the 1585 edition of his aforementioned commentary he located (independently of Tycho Brahe ) the nova from 1572 in the fixed stars sphere (in the constellation of Cassiopeia ) and found that the position of the nova was exactly the same for all observers. That meant that it had to be beyond the Moon, and the doctrine that the heavens could not change

13888-467: The third class learned Donatus by heart, though translated into English rather than through Latin. Young boys in the fourth class were taught to read. Progress was slow because there were too few teachers to conduct classes simultaneously. In the spirit of Ignatius' Roman College founded 14 years before, no fee was requested from pupils, though as a result the two Jesuits lived in very poor conditions and were very overworked with teaching and administering

14012-418: The time the present generation formed, the gas in the proto-satellite disk had thinned out to the point that it no longer greatly interfered with the moons' orbits. Other models suggest that Galilean satellites formed in a proto-satellite disk, in which formation timescales were comparable to or shorter than orbital migration timescales. Io is anhydrous and likely has an interior of rock and metal. Europa

14136-460: The timing of the orbits of the Galilean moons. The times of the eclipses of the moons could be precisely calculated in advance and compared with local observations on land or on ship to determine the local time and hence longitude. Galileo applied in 1616 for the Spanish prize of 6,000 gold ducats with a lifetime pension of 2,000 a year, and almost two decades later for the Dutch prize, but by then he

14260-480: The visual and performing arts as well as in music. The theater was a form of expression especially prominent in Jesuit schools. Jesuit priests often acted as confessors to kings during the early modern period . They were an important force in the Counter-Reformation and in the Catholic missions, in part because their relatively loose structure (without the requirements of living and celebration of

14384-516: Was conducted in one large aula, but the students were divided into distinct classes. Good gives a highly detailed report of the curriculum taught and the top class studied the first and second parts of Johannes Despauterius 's Commentarli grammatici, and read a few letters of Cicero or the dialogues of Frusius (André des Freux, SJ). The second class committed Donatus' texts in Latin to memory and read dialogues as well as works by Ēvaldus Gallus. Students in

14508-407: Was consecrated at Rome in 1564. This early Limerick school, Crescent College , operated in difficult circumstances. In April 1566, William Good sent a detailed report to Rome of his activities via the Portuguese Jesuits. He informed the Jesuit superior general that he and Edmund Daniel had arrived at Limerick city two years beforehand and their situation there had been perilous. Both had arrived in

14632-420: Was conveyed to them by certain influential friends. They recommenced teaching at Castle Lane, and imparting the sacraments, though their activities were restricted by the arrival of Royal Commissioners. Good reported that as he was an Englishman, English officials in the city cultivated him and he was invited to dine with them on a number of occasions, though he was warned to exercise prudence and avoid promoting

14756-471: Was established at Limerick by the apostolic visitor of the Holy See , David Wolfe . Wolfe had been sent to Ireland by Pope Pius IV with the concurrence of the third Jesuit superior general, Diego Laynez . He was charged with setting up grammar schools "as a remedy against the profound ignorance of the people". Wolfe's mission in Ireland initially concentrated on setting the sclerotic Irish Church on

14880-586: Was probably the most respected astronomer in Europe and his textbooks were used for astronomical education for over fifty years in and even out of Europe. Little is known about Clavius' early life other than the fact that he was born in Bamberg in either 1538 or 1537. His given name is not known to any great degree of certainty—it is thought by scholars to have perhaps been Christoph Clau or Klau . There are also some who think that his taken name, Clavius , may be

15004-548: Was proven false. As an astronomer Clavius held strictly to the geocentric model of the solar system, in which all the heavens rotate about the Earth . Though he opposed the heliocentric model of Copernicus , he recognized problems with the Ptolemaic model. He was treated with great respect by Galileo , who visited him in 1611 and discussed the new observations being made with the telescope ; Clavius had by that time accepted

15128-541: Was recorded by Jesuit José de Acosta of a conversation with the Archbishop of Santo Domingo. In the words of one historian: "The use of the name Jesus gave great offense. Both on the Continent and in England, it was denounced as blasphemous; petitions were sent to kings and to civil and ecclesiastical tribunals to have it changed; and even Pope Sixtus V had signed a Brief to do away with it." But nothing came of all

15252-469: Was under house arrest for possible heresy . The main problem with the Jovian moon technique was that it was difficult to observe the Galilean moons through a telescope on a moving ship, a problem that Galileo tried to solve with the invention of the celatone . Others suggested improvements, but without success. Land mapping surveys had the same problem determining longitude, though with less severe observational conditions. The method proved practical and

15376-407: Was used by Giovanni Domenico Cassini and Jean Picard to re-map France . Some models predict that there may have been several generations of Galilean satellites in Jupiter's early history. Each generation of moons to have formed would have spiraled into Jupiter and been destroyed, due to tidal interactions with Jupiter's proto-satellite disk , with new moons forming from the remaining debris. By

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