Question: Who did the person believed to be The "infidel mathematician"  succeed as the AStronomer Royal in Britain?

Context paragraphs:
Minor exorcism in Christianity: The expression minor exorcism can be used in a technical sense or a general sense.  The general sense indicates any exorcism which is not a solemn exorcism of a person believed to be possessed, including various forms of deliverance ministry.  This article deals only with the technical sense which specifically refers to certain prayers used with persons preparing to become baptised members of the Christian Church.  These prayers request God's assistance so that the person to be baptised will be kept safe from the power of Satan or protected in a more general way from temptation.

The Analyst: The Analyst, subtitled ""A DISCOURSE Addressed to an Infidel MATHEMATICIAN.  WHEREIN It is examined whether the Object, Principles, and Inferences of the modern Analysis are more distinctly conceived, or more evidently deduced, than Religious Mysteries and Points of Faith"", is a book published by George Berkeley in 1734.  The "infidel mathematician" is believed to have been Edmond Halley, though others have speculated Sir Isaac Newton was intended.  See .

Astronomer Royal: Astronomer Royal is a senior post in the Royal Households of the United Kingdom.  There are two officers, the senior being the Astronomer Royal dating from 22 June 1675; the second is the Astronomer Royal for Scotland dating from 1834.

Servant of God: Servant of God (Latin: "Servus Dei" ) is a term used for individuals by various religions, and in general it is a person believed to be pious in his or her faith tradition.  In the Catholic Church, it designates an individual who is being investigated by the Church for possible canonization as a saint.  In the Eastern Orthodox Church, this term is used to refer to any Eastern Orthodox Christian.

Felig: Felig is the name of a person believed to be the founder of "Cill Fheilige" ('the church of Felig'), which according to local tradition was the first church founded among the Soghain people of Menlough, County Galway.  This would make Felig among the very first Christian missionaries in Connacht, perhaps only a generation removed from the mission of Saint Patrick and Kerrill.

George Biddell Airy: Sir George Biddell Airy {'1': ", '2': ", '3': ", '4': "} ( ; 27 July 18012 January 1892) was an English mathematician and astronomer, Astronomer Royal from 1835 to 1881.  His many achievements include work on planetary orbits, measuring the mean density of the Earth, a method of solution of two-dimensional problems in solid mechanics and, in his role as Astronomer Royal, establishing Greenwich as the location of the prime meridian.  His reputation has been tarnished by allegations that, through his inaction, Britain lost the opportunity of priority in the discovery of Neptune.

James Bradley: James Bradley FRS (March 1693 – 13 July 1762) was an English astronomer and priest and served as Astronomer Royal from 1742, succeeding Edmond Halley.  He is best known for two fundamental discoveries in astronomy, the aberration of light (1725–1728), and the nutation of the Earth's axis (1728–1748).  These discoveries were called "the most brilliant and useful of the century" by Jean Baptiste Joseph Delambre, historian of astronomy, mathematical astronomer and director of the Paris Observatory, in his history of astronomy in the 18th century (1821), because "It is to these two discoveries by Bradley that we owe the exactness of modern astronomy.  ... This double service assures to their discoverer the most distinguished place (after Hipparchus and Kepler) above the greatest astronomers of all ages and all countries."

Edmond Halley: Edmond (or Edmund) Halley, FRS (pronounced ; 8 November [O.S. 29 October] 1656 – 25 January 1742 [O.S. 14 January 1741] ) was an English astronomer, geophysicist, mathematician, meteorologist, and physicist who is best known for computing the orbit of Halley's Comet.  He was the second Astronomer Royal in Britain, succeeding John Flamsteed.

Thomas Henderson (astronomer): Thomas Henderson FRSE FRS FRAS (28 December 1798 – 23 November 1844) was a Scottish astronomer and mathematician noted for being the first person to measure the distance to Alpha Centauri, the major component of the nearest stellar system to Earth, the first to determine the parallax of a fixed star, and for being the first Astronomer Royal for Scotland.

Nathaniel Bliss: The Reverend Nathaniel Bliss (28 November 1700 – 2 September 1764) was an English astronomer of the 18th century, serving as Britain's fourth Astronomer Royal between 1762 and 1764.

Supporting paragraphs: The Analyst Edmond Halley
Answer: John Flamsteed