John Michell
John Michell (25 December 1724 – 21 April 1793) was an English natural philosopher, geologist, and Church of England clergyman who made pioneering contributions across multiple scientific disciplines, including astronomy, seismology, magnetism, and physics.[1][2] Born in Eakring, Nottinghamshire, he studied at Queens' College, Cambridge, where he excelled in mathematics, earning a Bachelor of Arts in 1749 as the fourth wrangler in the Mathematical Tripos, and later held positions as a fellow and the Woodwardian Professor of Geology from 1762 to 1764.[1] Michell served as rector in several parishes, including Thornhill, West Yorkshire, from 1767 until his death, while pursuing independent scientific research that influenced contemporaries like Henry Cavendish and anticipated key 20th-century discoveries.[3][1] Michell's early work focused on magnetism; in his 1750 treatise A Treatise of Artificial Magnets, he was the first to articulate the inverse-square law of magnetic attraction, demonstrating that magnetic force diminishes with the square of the distance between poles.[1][2] In seismology, his 1760 paper Conjectures Concerning the Cause, and Observations upon the Phænomena of Earthquakes, analyzing the 1755 Lisbon earthquake, proposed that seismic waves propagate through a compressible Earth and linked tsunamis to submarine quakes, earning him election as a Fellow of the Royal Society in 1760 and recognition as a founder of the field.[3][1] Astronomically, he applied statistical methods in a 1767 paper to argue for the gravitational binding of binary star systems, providing early evidence for their physical association rather than mere line-of-sight alignment.[1] Perhaps Michell's most visionary contribution came in 1783, when he hypothesized "dark stars"—massive celestial bodies with gravitational pull so intense that light particles could not escape, effectively predicting black holes over a century before general relativity.[2][3] He suggested such objects might be detectable in binary systems paired with visible companions and estimated that a star 500 times the Sun's mass but of equal density would exhibit this property, based on Newtonian corpuscular theory of light.[2] Additionally, Michell devised a torsion balance apparatus in the 1780s to measure the Earth's density by quantifying gravitational attraction between masses, though illness prevented its completion; it was later refined by Cavendish in the 1798 experiment that first determined the gravitational constant.[3][1] Despite his profound insights, Michell published sparingly and left no portrait, leading to his ideas being largely overlooked until rediscovery in the 20th century.[3]Early Life and Education
Family Background and Upbringing
John Michell was born on 25 December 1724 in the rural village of Eakring, Nottinghamshire, England.[1][4] He was the son of Gilbert Michell, a Church of England clergyman who served as rector of Eakring Parish from 1722 to 1758, and Obedience Gerrard, who hailed from London.[1][5] Gilbert, a landowner as well as a priest, provided the family with a stable but modest livelihood in the rectory.[4] The Michell household reflected a strong clerical tradition, immersing young John in religious and scholarly discourse from an early age.[5] As the eldest of three siblings—brother Samuel and sister Elizabeth—he grew up in an environment that emphasized intellectual pursuits alongside clerical duties.[4][6] This familial setting, combined with home schooling to a high standard, laid the groundwork for his developing interests in mathematics and natural philosophy.[5] Michell's upbringing in the serene Nottinghamshire countryside around Eakring exposed him to the rhythms of rural life and natural landscapes, fostering an early awareness of geological features and phenomena.[1][7] The area's modest parish setting, near Ollerton and Rufford Abbey, offered opportunities to observe the environment that would later influence his studies in earth sciences.[7] This foundational period transitioned into his formal academic training at Cambridge in 1742.[1]Academic Training at Cambridge
John Michell was admitted as a pensioner to Queens' College, Cambridge, on 17 June 1742, where he pursued studies in mathematics and natural philosophy.[1] As a paying student without a scholarship, he matriculated that year and immersed himself in the rigorous curriculum of the Mathematical Tripos, reflecting the era's emphasis on Newtonian principles.[1] His academic path was shaped by Cambridge's vibrant intellectual environment, which fostered exploration of mechanics, optics, and related fields during his undergraduate years.[8] In January 1749, Michell performed strongly in the Mathematical Tripos examinations, achieving the rank of fourth wrangler, a notable accomplishment that underscored his proficiency in advanced mathematics.[9] He received his Bachelor of Arts degree shortly thereafter, on Ash Wednesday in February 1749.[1] Elected as a Fellow of Queens' College on 30 March 1749, he continued his studies, earning a Master of Arts in 1752 and a Bachelor of Divinity in 1761, the latter reflecting his alignment with the clerical traditions of his family background.[1][9] These milestones solidified his position within the college and prepared him for deeper engagement in scholarly pursuits. During his time as a student and early Fellow, Michell became involved in Cambridge's intellectual circles, participating in initial experiments related to mechanics and optics that demonstrated his emerging interest in experimental philosophy.[8] These activities, often conducted in collaboration with peers and faculty, allowed him to apply mathematical rigor to physical phenomena, laying the groundwork for his later contributions.[9] His fellowship provided access to resources and networks that enriched this formative period, enhancing his foundational knowledge in the sciences.[1]Professional Career
Academic Appointments
In 1762, John Michell was appointed Woodwardian Professor of Geology at the University of Cambridge, a position established by John Woodward in 1728 to promote the study of fossils, minerals, and related natural history topics through lectures and the curation of a dedicated museum collection. This appointment recognized Michell's emerging expertise in earth sciences, particularly following his influential 1760 paper on earthquakes, and positioned him to succeed Woodward's foundational emphasis on empirical observation of geological specimens.[1] As professor, Michell was required to deliver annual public lectures on geological subjects, though records indicate he held the role only until 1764, resigning due to the chair's celibacy stipulation upon his marriage. As a fellow of Queens' College from 1749 to 1764, Michell served in multiple teaching capacities that facilitated his research and contributed to the university curriculum during the 1760s. He lectured on geometry (1753–1754 and 1763), arithmetic (1751–1752), Greek (1755–1756 and 1759–1760), and Hebrew (1751–1752, 1759–1760, and 1762), with his geometry courses likely incorporating elements of mechanics relevant to natural philosophy. Additionally, as philosophical censor in 1760, he oversaw student exercises in experimental philosophy, which at the time encompassed optics, mechanics, and early astronomical principles, ensuring alignment with Newtonian frameworks in the curriculum. These roles involved supervising undergraduates, evaluating compositions, and shaping instructional content, extending into the early 1770s through informal advising before his departure from Cambridge in 1767.[1]Clerical and Institutional Roles
Michell was ordained as a deacon on February 19, 1749, by the Bishop of York, and subsequently licensed as curate at Eakring in Nottinghamshire, where his father served as rector.[10] He was ordained as a priest on May 26, 1760, by the Bishop of Ely.[10] Following his ordination as priest, Michell was instituted as rector of St Botolph's parish in Cambridge on May 31, 1760, a position he held until September 15, 1763.[10] This clerical appointment complemented his academic fellowship at Queens' College, where he undertook various institutional duties in the 1750s and early 1760s, including serving as lecturer in Hebrew (1751–1752, 1759–1760, 1762), arithmetic (1751–1752), geometry (1753–1754, 1763), and Greek (1755–1756, 1759–1760).[1] In 1763, Michell transitioned to rural benefices, becoming rector of Compton in Hampshire on April 7, a role he maintained until February 23, 1765; during this time, he delegated much of the parish work to a deputy while funding repairs to the church, including re-tiling and other maintenance costing £111.[10][1] He then served as rector of Havant in Hampshire from January 23, 1765, to October 31, 1767.[10] Michell's final clerical position was as rector of Thornhill in West Yorkshire, to which he was instituted in October 1767, a post he held until his death in 1793.[10][1] At Thornhill, he managed the parish of St Michael's Church, overseeing its operations and maintenance as the incumbent, and remained actively engaged in local ecclesiastical affairs for over 25 years.[1]Scientific Contributions
Earth Sciences: Geology and Seismology
John Michell made pioneering contributions to the emerging fields of seismology and geology through his detailed analysis of earthquakes and the structure of the Earth's crust, establishing foundational concepts that anticipated modern understandings of seismic activity and stratigraphy. In his seminal 1760 paper, "Conjectures Concerning the Cause, and Observations upon the Phænomena of Earthquakes," published in the Philosophical Transactions of the Royal Society, Michell proposed that earthquakes originate from localized subterranean disturbances and propagate as elastic waves through the solid Earth, much like waves on a fluid surface but transmitted via the rigidity of rock layers.[11] He argued that these waves could travel vast distances, explaining how a single event, such as the devastating 1755 Lisbon earthquake, produced tremors felt across Europe and as far as the Americas, with the initial shock originating from a focus several miles beneath the Atlantic Ocean.[11] Michell estimated the epicenter and focal depth of the Lisbon event using reports of arrival times and intensities, marking one of the earliest attempts to triangulate seismic sources quantitatively.[12] Michell attributed earthquake causes primarily to the collapse of subterranean cavities or elastic rebounds in the Earth's interior, often triggered by the sudden release of elastic vapors or fluids from heated subterranean reservoirs interacting with water, leading to explosive expansions or contractions.[11] He drew on historical examples, including the 1755 Lisbon disaster, to illustrate how such mechanisms could generate both vertical and horizontal ground motions, with waves reflecting and refracting at boundaries between rock layers of differing densities.[11] These ideas shifted explanations away from purely theological or superficial causes toward physical processes within the Earth, laying groundwork for seismology as a science. In the same paper, Michell advanced early stratigraphic principles by demonstrating a clear understanding of the orderly succession of rock layers across extensive regions, based on his personal field observations in southern England. He described the Earth's crust as composed of regular, uniform strata—such as clays overlying coals and sandstones—that extended for miles with consistent thickness and composition, often bent or uplifted toward mountain regions due to internal forces.[11] Michell noted the presence of organic remains, like ammonites and selenites, within these layers but did not yet use them systematically for correlation, reflecting the transitional state of geological thought at the time. A key innovation was Michell's recognition and illustration of faults as displacements in strata, where one side of a cleft sinks below the other, often linked directly to earthquake activity; he provided one of the first published cross-sections of such a feature, showing how seismic forces could offset continuous beds.[11] He explained these disruptions as resulting from the propagation of waves that shear along planes of weakness in the crust, contributing to mountain formation through gradual uplift and erosion. Later works, including an 1788 letter to Henry Cavendish describing regional strata sequences, further refined his views on crustal architecture. Michell's emphasis on natural, observable processes in strata formation and earthquake mechanics influenced subsequent geologists, including Charles Lyell, who cited his work as a precursor to uniformitarian principles that interpret Earth's history through slow, continuous changes rather than catastrophic events. His integration of field evidence with physical reasoning helped establish geology as an empirical science, distinct from speculative cosmogony.Physical Sciences: Magnetism and Gravity
Michell's investigations into magnetism began with experimental work on artificial magnets, culminating in his 1750 publication A Treatise of Artificial Magnets. In this treatise, he described a series of experiments designed to measure the attractive and repulsive forces between magnets, demonstrating that these forces vary inversely with the square of the distance between the poles, analogous to the law of gravitational attraction proposed by Newton. Michell constructed magnets of varying strengths by exposing iron bars to the Earth's magnetic field and tested their interactions using a balance apparatus, observing how the force diminished predictably with separation. His findings rejected prevailing theories of magnetic fluids, instead positing magnetism as a direct action-at-a-distance force, thereby establishing a foundational empirical basis for magnetic theory.[8][13] Building on these insights into inverse-square forces, Michell extended his research to gravity in the 1780s, inventing the torsion balance as a sensitive instrument for detecting weak attractions between masses. Devised around 1783, the apparatus featured a lightweight horizontal wooden rod—approximately six feet long—suspended by a thin wire from its center, with small lead spheres attached to each end to serve as test masses. This setup allowed the rod to twist under the influence of gravitational torque, which Michell planned to quantify using the relation \tau = \kappa \theta, where \tau is the torque, \kappa is the wire's torsion constant, and \theta is the angle of deflection. Enclosed in a protective case to minimize external disturbances, the device represented a significant advance in precision measurement, predating similar instruments by Coulomb and enabling laboratory-scale gravitational experiments.[14][8] Michell intended the torsion balance to determine the mean density of the Earth by comparing the gravitational attraction between the test masses to Earth's pull on them, a method he outlined in correspondence and unpublished notes. Drawing from contemporary theoretical calculations, including analyses of mountain attractions and planetary motions, he estimated Earth's density to be between 4.5 and 5 times that of water, suggesting a denser core beneath the surface. Although Michell died in 1793 before completing the experiments, his design and proposal were instrumental, later adapted by Henry Cavendish, who achieved a precise measurement in 1798 using the apparatus. This work underscored Michell's vision of unifying magnetic and gravitational phenomena under similar mathematical principles.[15][16]Astronomy: Double Stars and Black Holes
In 1767, John Michell published a seminal paper in which he applied probabilistic reasoning to the distribution of stars on the celestial sphere, arguing that the observed proximity of many double and multiple stars could not be mere line-of-sight coincidences but instead indicated physical associations governed by gravitational attraction.[17] Drawing on the emerging field of statistics, Michell calculated the improbability of random alignments; for instance, he estimated the odds against the clustering of six bright stars in the Pleiades occurring by chance as approximately 500,000 to 1, extending this logic to suggest that a significant fraction of double stars were true binaries orbiting each other.[18] This analysis represented one of the earliest uses of probability in astronomy to infer physical reality from observational data, predating systematic catalogs of binary systems and influencing later observers like William Herschel, who confirmed many such pairs through dedicated measurements.[19] Michell's work on double stars also laid theoretical groundwork for understanding stellar masses and dynamics, as he proposed that the orbital periods and separations of binary systems could allow estimation of their masses relative to the Sun, anticipating dynamical methods in astrophysics.[20] Though his predictions were not immediately verified due to limited observational capabilities at the time, they contributed to the conceptual shift toward viewing stars as gravitationally bound systems rather than fixed points of light.[3] In a letter to Henry Cavendish dated November 1783 (published in 1784), Michell extended Newtonian gravity to propose the existence of "dark stars"—hypothetical massive objects so dense that their gravitational pull would prevent light from escaping, rendering them invisible.[21] Assuming light consisted of particles subject to gravity and traveled at a finite speed, Michell reasoned that if the escape velocity from a star's surface exceeded this speed, light could not propagate outward; he formalized this using the Newtonian escape velocity formula, v_{\text{esc}} = \sqrt{\frac{2GM}{r}} > c, where G is the gravitational constant, M the mass, r the radius, and c the speed of light.[3] As an example, he calculated that a star with the same density as the Sun but 500 times its diameter would have v_{\text{esc}} \approx c, as the Sun's surface escape velocity is about 1/500th of c, making such an object undetectable directly but potentially observable through gravitational effects on nearby companions.[19] Michell suggested detecting these dark stars indirectly via binary systems where a visible star orbits an unseen massive companion, a method that prefigured modern techniques for identifying black holes.[2] Although his ideas remained obscure and unpublished in full until rediscovered in the 20th century, they anticipated key elements of general relativity's black hole solutions and influenced subsequent theoretical work on extreme gravitational phenomena.[22]Instrumentation: Telescopes and Devices
John Michell made significant contributions to astronomical instrumentation through his design and construction of high-precision optical devices, emphasizing practical improvements in reflectivity and mechanical stability for enhanced observational accuracy. In the late 1770s, he completed a Gregorian reflecting telescope featuring a 10-foot focal length and a 29.5-inch aperture speculum mirror, crafted from a carefully alloyed metal composition to achieve superior reflectivity and clarity over earlier speculum metals prone to tarnishing.[8] This instrument represented a major advancement in telescope fabrication, as Michell devoted considerable effort to optimizing the mirror's alloy and grinding process for minimal optical distortion.[23] Following his death in 1793, the telescope was acquired by William Herschel for £30, who noted its substantial size and potential despite the speculum's condition requiring refurbishment.[5] Michell also innovated in mounting systems and measurement tools to facilitate precise stellar positioning, incorporating an equatorial mount into his Gregorian reflector to allow smoother tracking of celestial objects across the sky and reduce errors from manual adjustments. This mechanical enhancement was crucial for prolonged observations, enabling the telescope to maintain alignment with rotating star fields more effectively than altazimuth designs of the era. Complementing this, Michell developed an astrophotometer—a specialized eyepiece attachment using multiple glass reflections and adjustable apertures combined with achromatic prisms—to quantify stellar brightness with high precision, capable of detecting subtle light variations down to 1 part in 1,000. These improvements to micrometer-like devices and mounts supported Michell's experimental philosophy by providing reliable data for empirical analysis rather than mere qualitative viewing.[8] Such instrumentation proved essential in Michell's astronomical work, including his measurements of double stars, where the equatorial mount and refined optics allowed for accurate determination of angular separations and relative positions.[8]Other Activities
Royal Society Involvement
John Michell was elected a Fellow of the Royal Society on 12 June 1760. His candidacy was endorsed by a group of prominent fellows, including Gowin Knight, a leading authority on magnetism, and Thomas Birch, the Society's secretary, who highlighted Michell's innovative experiments on artificial magnets and his recent dissertation on the causes and phenomena of earthquakes, which he had communicated to the Society.[24] In the mid-1760s, following the publication of his astronomical research on double stars, Michell served on an astronomical committee of the Royal Society, where he contributed advice on optimal locations and methods for observing the upcoming transit of Venus in 1769 to improve measurements of solar parallax. Throughout the 1760s to 1780s, Michell actively engaged with the Royal Society by presenting key papers that shaped scientific discussions and were published in its Philosophical Transactions. His 1760 paper on earthquakes, read in multiple sessions, proposed that earthquakes arise from the propagation of elastic waves through the Earth's compressible layers and was widely cited in subsequent geophysical studies.[25] In 1767, he delivered a probabilistic analysis of binary star systems, arguing that their prevalence indicated physical associations rather than mere line-of-sight coincidences, influencing early stellar dynamics research.[26] Later, through correspondence with Henry Cavendish, Michell submitted treatises in 1783 and 1784 on how strong gravitational fields might slow light from distant stars and the possibility of "dark stars" invisible due to light's inability to escape, concepts that anticipated modern general relativity ideas and were posthumously refined by Cavendish for Society presentation.[27]Philosophical and Religious Pursuits
Michell, a devout High Church Anglican, viewed natural philosophy as complementary to Christian theology, often exploring how the order observed in nature evidenced divine design. In unpublished manuscripts, he developed arguments from design that incorporated Newtonian principles of mechanics to illustrate God's purposeful creation, positing that phenomena like gravitational attractions in celestial bodies reflected theological truths about a rational universe governed by immutable laws.[28] His religious scholarship extended to biblical studies and church history, where he sought to reconcile scriptural accounts with historical evidence.[28] Michell engaged in intellectual exchanges with contemporaries on the intersections of science, philosophy, and religion, notably Joseph Priestley, a Unitarian dissenter whose views differed from Michell's orthodox Anglicanism. Despite these differences, their correspondence and meetings fostered mutual respect, with discussions encompassing the philosophical foundations of scientific inquiry and its theological implications; Priestley later acknowledged Michell's contributions to his own work on optics and matter theory, integrating Michell's ideas on Boscovich's force-based philosophy of nature.Personal Life and Legacy
Family and Personal Character
John Michell entered into his first marriage with Sarah Williamson on 23 August 1764 at Rolleston, Nottinghamshire.[1] Sarah died on 18 September 1765, shortly after the birth of their only child, a daughter named Mary, born on 1 August 1765 and baptized on 3 September 1765 at Newark.[1] Mary Michell later married Thomas Turton on 2 September 1786 and died on 28 January 1837.[1] Michell remarried on 13 February 1773 at Newark, Nottinghamshire, to Ann Brecknock (1736–1818), daughter of Matthew and Ann Brecknock of Nottinghamshire; this union produced no children.[1] Physically, Michell was described by the antiquary William Cole as "a little short Man, of a black Complexion, and fat."[1] Contemporaries regarded him as a modest and ingenious individual, with Cole further noting him as "a very ingenious Man, and an excellent Philosopher."[1] A memorial inscription at Thornhill characterized his personal qualities as those of "the tender Husband, the indulgent Father, the affectionate Brother and the sincere Friend," emphasizing his amiable disposition, charitable feelings, and diligent fulfillment of duties.[20] After assuming the rectory at Thornhill in 1767, Michell embraced a reclusive lifestyle in the rural Yorkshire parish, focusing on scientific pursuits and local pastoral responsibilities rather than public acclaim.[29]Death and Posthumous Recognition
John Michell died on 21 April 1793 in Thornhill, Yorkshire, after a long illness.[30][31] He was buried in the local churchyard at Thornhill.[32] No portrait of Michell survives, and there was no detailed obituary published at the time, reflecting his relatively quiet life as a rural clergyman.[33] Michell's scientific ideas, including his 1783 prediction of "dark stars"—objects so massive that light could not escape their gravitational pull—remained obscure for nearly two centuries after his death.[3] His work was largely forgotten until the 1970s, when physicists rediscovered his prescient concept amid growing interest in black holes following the development of general relativity.[3][34] Stephen Hawking highlighted Michell's contribution in his 1988 book A Brief History of Time, noting how Michell had anticipated the theoretical possibility of such invisible, light-trapping stars using Newtonian principles.[35] This rediscovery established Michell's influence on modern astrophysics, where his dark star idea is now recognized as an early precursor to the black hole theory formalized by Karl Schwarzschild in 1916.[3] In the 21st century, Michell's legacy has gained further appreciation through scholarly works and popular media. The 2012 biography Weighing the World: The Reverend John Michell of Thornhill by Russell McCormmach provides a comprehensive account of his life and contributions, drawing on archival sources to emphasize his role in multiple scientific fields.[36] A blue plaque commemorating Michell was unveiled on 8 September 2007 at Thornhill parish church.[1] More recently, a 2024 BBC Future article titled "The forgotten priest who predicted black holes – in 1783" spotlighted Michell's black hole prescience, underscoring how his ideas, overlooked for generations, align remarkably with contemporary understandings of cosmic phenomena.[29]Publications
Major Works
Michell's earliest significant contribution to the physical sciences appeared in his 1750 publication, A Treatise of Artificial Magnets, which outlined a practical method for producing durable artificial magnets superior to natural lodestones.[1] He described a technique involving the "double touch" process, where soft iron bars were magnetized by stroking them simultaneously from both ends with magnetized steel, achieving greater strength and uniformity than previous methods. This work not only advanced experimental magnetism by making high-quality magnets accessible for scientific instruments but also included Michell's empirical verification of the inverse-square law governing magnetic attraction and repulsion, a key insight that paralleled gravitational principles and anticipated Coulomb's later formalization.[1] The treatise's impact lay in bridging practical craftsmanship with theoretical physics, influencing subsequent magnet makers like John Canton, though its full recognition came with 19th-century historical analyses. In 1760, Michell presented a groundbreaking paper to the Royal Society, "Conjectures Concerning the Cause, and Observations upon the Phænomena, of Earthquakes; Particularly of that Great Earthquake of the First of November 1755," published in Philosophical Transactions. Drawing on the Lisbon earthquake's global effects, he proposed an innovative model of earthquakes as propagating elastic waves through the Earth's crust, caused by the sudden release of accumulated strain rather than subterranean fires or divine intervention.[37] Michell detailed wave propagation mechanics, including transverse and longitudinal types, and suggested methods to locate epicenters and depths—ideas that prefigured modern seismology by over a century.[12] Despite its prescience, the paper remained underappreciated in its era, overshadowed by theological debates, but gained acclaim in the 20th century for establishing seismology's foundational wave theory.[38] Michell's most visionary work emerged in his 1784 letter to Henry Cavendish, published as "On the Means of Discovering the Distance, Magnitude, &c. of the Fixed Stars, in Consequence of the Diminution of the Velocity of Their Light" in Philosophical Transactions.[21] Applying Newtonian corpuscular theory, he derived that sufficiently massive stars could possess escape velocities exceeding light's speed, trapping photons within a dense core and rendering the object invisible or "dark."[21] Michell calculated that a star of the same density as the Sun but with a diameter more than 500 times that of the Sun would possess such strong gravity that light could not escape its surface.[39] This prescient concept anticipated general relativity's black holes and influenced later astrophysicists like Karl Schwarzschild, though it faded until revived in the 1970s.[22] Throughout his career, Michell produced numerous influential ideas in unpublished manuscripts, including refinements on tidal forces and stellar systems, which were only partially disseminated posthumously and highlight a broader legacy beyond his printed major works.[1]Selected Bibliography
John Michell's published works are few but influential, primarily appearing in the Philosophical Transactions of the Royal Society. His output reflects his broad interests in natural philosophy, with additional unpublished correspondence and notes preserved in contemporary records. The following is a chronological selection of his key publications and notable unpublished items.- 1750: A Treatise of Artificial Magnets; In Which is Shewn an Easy and Expeditious Method of Making Them Superior to the Best Natural Ones: And Some New Experiments and Observations Relating to the Powers of the Magnetic Bars. Printed for the author, sold by Mary Senex, London. This 80-page book introduced the inverse-square law for magnetism.[40]
- 1751: A Treatise of Artificial Magnets (second edition, corrected and improved). Printed for the author, sold by Mary Senex, London.[41]
- 1752: Traité sur les aimans artificiels: Contenant une méthode courte et aisée pour les composer (French translation of the 1750 treatise). Paris.
- 1760: "Observations on the Same Comet; By the Rev. John Michell, M.A. Fellow of Queen's College in Cambridge. In a Letter to Mr. James Short, F.R.S." Philosophical Transactions of the Royal Society of London 51: 466–467. doi:10.1098/rstl.1759.0044. Describes observations of the Great Comet of 1760 (C/1760 A1).[42]
- 1760: "Conjectures Concerning the Cause, and Observations upon the Phænomena of Earthquakes; Particularly of That Great Earthquake of the First November, 1755, Which Proved So Fatal to the City of Lisbon." Philosophical Transactions of the Royal Society of London 51: 566–634. doi:10.1098/rstl.1759.0057. Pioneering analysis of seismic activity and stratigraphy.[43]
- 1765: "A Recommendation of Hadley’s Quadrant for Surveying." Philosophical Transactions of the Royal Society of London 55: 66–67. doi:10.1098/rstl.1765.0010. Advocates for the use of the reflecting quadrant in land measurement.
- 1766: "Proposal of a Method for Measuring Degrees of Longitude upon Parallels of the Equator." Philosophical Transactions of the Royal Society of London 56: 97–101. doi:10.1098/rstl.1766.0016. Suggests techniques for geodesic surveys.
- 1767: "An Inquiry into the Probable Parallax, and Magnitude of the Fixed Stars, from the Quantity of Light Which They Afford Us, and the Particular Circumstances of Their Situation." Philosophical Transactions of the Royal Society of London 57: 320–364. doi:10.1098/rstl.1767.0028. Applies probability to argue for physical associations among stars, predicting binary systems.[17]
- 1767: "Of the Twinkling of Fixed Stars." Philosophical Transactions of the Royal Society of London 57: 364. doi:10.1098/rstl.1767.0028. Brief note on atmospheric effects on stellar scintillation.[17]
- 1783 (published 1784): "On the Means of Discovering the Distance, Magnitude, &c. of the Fixed Stars, in Consequence of the Diminution of the Velocity of Their Light..." Philosophical Transactions of the Royal Society of London 74: 35–57. doi:10.1098/rstl.1784.0008. Letter to Henry Cavendish proposing massive "dark stars" where light cannot escape.[21]