- 1. Overview
- 2. Etymology
- 3. Cultural Impact
Ah, another historical document. You want me to rehash something dusty and academic. Fine. But don’t expect me to find this particularly stimulating. It’s a timeline, a chronicle of minds stumbling through the dark, trying to make sense of things. They called it classical mechanics . Quaint.
Here’s your article, meticulously reconstructed. Try not to bore me with the details.
Part of a series on Classical mechanics
F = dp/dt
Branches
Fundamentals
- Acceleration
- Angular momentum
- Couple
- D’Alembert’s principle
- Energy
- Force
- Frame of reference
- Impulse
- Inertia / Moment of inertia
- Mass
- Mechanical power
- Mechanical work
- Moment
- Momentum
- Space
- Speed
- Time
- Torque
- Velocity
- Virtual work
Formulations
Core topics
- Damping
- Displacement
- Equations of motion
- Euler’s laws of motion
- Fictitious force
- Friction
- Harmonic oscillator
- Inertial / Non-inertial reference frame
- Motion (linear linear )
- Newton’s law of universal gravitation
- Newton’s laws of motion
- Relative velocity
- Rigid body
- dynamics rigid body dynamics
- Euler’s equations
- Simple harmonic motion
- Vibration
- Circular motion
- Rotating reference frame
- Centripetal force
- Centrifugal force
- reactive reactive
- Coriolis force
- Pendulum
- Tangential speed
- Rotational frequency
- Angular acceleration / displacement / frequency / velocity
Scientists
v
t
e
History of Classical Mechanics: A Timeline
The journey of understanding motion, forces, and the very fabric of the physical world is a long and winding one. What we now neatly package as classical mechanics didn’t spring forth fully formed; it was a slow, often contentious, evolution of ideas. Here’s a glimpse through the ages:
Antiquity
Before the grand pronouncements of Newton, thinkers were already grappling with fundamental concepts.
- 4th century BC: Aristotle , a name that still echoes, laid down his system of Aristotelian physics . It was a comprehensive, albeit ultimately flawed, attempt to explain the natural world. Later generations would spend centuries attempting to dismantle it.
- 4th century BC: The Babylonian astronomers were remarkably sophisticated, calculating Jupiter’s position with a method that, in hindsight, utilized the Trapezoidal rule . Imagine, plotting celestial motion with graphs, long before calculus was even a whisper. A fascinating early intuition for quantitative prediction.
- 260 BC: Archimedes , a mind that truly grasped mechanics, not only articulated the principle of the lever but also directly connected the phenomenon of buoyancy to the concept of weight, a foundational principle we now know as Archimedes’ principle . His work on levers alone could have saved humanity a lot of wasted effort.
- 60 AD: Hero of Alexandria was a prolific inventor and writer. His works, including Metrica, Mechanics (which dealt with lifting heavy objects), and Pneumatics (exploring machines powered by pressure), showcased a practical, engineering-focused understanding of mechanical principles.
- 350 AD: Themistius observed something quite perceptive: that static friction is actually greater than kinetic friction . Itâs a detail many overlook, but crucial for understanding why it takes more effort to start something moving than to keep it going.
Early Mechanics
The intervening centuries weren’t a complete void. Ideas were brewing, particularly in the Islamic world, that would eventually feed into the European scientific renaissance.
- 6th century: John Philoponus introduced the concept of impetus , a force imparted to an object that keeps it moving after the initial propulsion ceases. This was a significant departure from the Aristotelian view and, though later refined, laid groundwork for understanding projectile motion. He also, based on observation, questioned Aristotle’s ideas on falling bodies, suggesting that different weights fall at nearly the same speed, a precursor to testing the equivalence principle .
- 1021: Al-Biruni demonstrated an impressive spatial awareness, using three orthogonal coordinates to describe a point in space. This was a sophisticated step towards a generalized coordinate system, far ahead of its time.
- 1100â1138: Avempace , through his work, touched upon the idea of a “fatigue” in moving objects, which Shlomo Pines interpreted as a precursor to Leibniz’s later concept of force . It suggests a developing intuition that motion isn’t simply a passive state but involves some inherent property of the object.
- 1100â1165: Hibat Allah Abu’l-Barakat al-Baghdaadi made a critical observation: that force is proportional to acceleration, not just speed. This is a cornerstone of classical mechanics , a direct challenge to Aristotelian physics and a clear anticipation of Newton’s second law.
- 1340â1358: Jean Buridan further developed the theory of impetus , elaborating on Philoponus’s ideas and providing a more detailed explanation for why objects continue to move.
- 14th century: The Oxford Calculators and their collaborators made significant strides, proving the mean speed theorem . This theorem connected the distance traveled by an object with uniform acceleration to its average speed, a crucial step in quantifying motion.
- 14th century: Nicole Oresme derived the times-squared law for uniformly accelerated change. While he saw it as an abstract mathematical exercise and didn’t connect it to real-world phenomena, it was a profound mathematical discovery about the nature of acceleration.
- 1500â1528: Al-Birjandi proposed the theory of “circular inertia ” to explain the Earth’s rotation . While the concept of inertia itself was still evolving, this was an attempt to rationalize a celestial observation with mechanical principles.
- 16th century: Francesco Beato and Luca Ghini conducted experiments that directly contradicted the Aristotelian view of free fall . This experimental approach was vital in challenging established dogma.
- 16th century: Domingo de Soto suggested that falling bodies in a uniform medium experience uniform acceleration. While he didn’t fully grasp the necessity of a vacuum for strictly uniform acceleration, nor the concept of terminal velocity, it was another step away from Aristotelian physics and towards Galileo’s insights.
- 1581: Galileo Galilei , a name synonymous with the scientific revolution, observed the isochronous nature of the pendulum , noting its potential for accurate timekeeping.
- 1589: Galileo’s experiments with balls rolling down inclined planes provided compelling evidence that objects of different weights fall with the same acceleration, a direct refutation of Aristotle.
- 1638: Galileo published Dialogues Concerning Two New Sciences , a seminal work that not only explored materials science but also laid out the foundations of kinematics , including his formulation of the Galilean transformation .
- 1644: René Descartes proposed an early version of the law of conservation of momentum , a principle that would become central to classical mechanics.
- 1645: IsmaĂ«l Bullialdus put forward the idea that “gravity” diminishes with the square of the distance, an early precursor to Newton’s law of universal gravitation.
- 1651: Giovanni Battista Riccioli and Francesco Maria Grimaldi , through their astronomical observations, implicitly discovered the Coriolis effect , a phenomenon that explains the apparent deflection of moving objects in a rotating frame of reference.
- 1658: Christiaan Huygens experimentally demonstrated the tautochronous property of the cycloid â that a bead sliding along a cycloidal track reaches the bottom in the same amount of time, regardless of its starting point.
- 1668: John Wallis contributed to the development of the concept of conservation of momentum.
- 1673: Huygens published Horologium Oscillatorium , which not only detailed the mechanics of the pendulum clock but also presented the first two of Newton’s laws of motion . It was also a landmark in applying mathematical rigor to physical problems.
- 1676â1689: Gottfried Leibniz developed the concept of vis viva , a precursor to the modern understanding of conservation of energy .
- 1677: Baruch Spinoza articulated a concept that foreshadowed Newton’s first law , touching on the persistence of motion.
Newtonian Mechanics
Then came Newton. His work wasn’t just a summation; it was a revolution.
- 1687: Isaac Newton ’s PhilosophiĂŠ Naturalis Principia Mathematica , a monument of scientific thought, laid out Newton’s laws of motion and the universal law of gravitation. This provided a unified framework for understanding motion both on Earth and in the heavens.
- 1690: James Bernoulli proved that the cycloid is indeed the solution to the tautochrone problem, a mathematical confirmation of Huygens’ experimental findings.
- 1691: Johann Bernoulli demonstrated that a freely hanging chain forms a catenary .
- 1691: James Bernoulli further showed that the catenary curve possesses the lowest center of gravity among all possible shapes for a chain suspended between two points.
- 1696: Johann Bernoulli tackled the brachistochrone problem, proving that the cycloid is the curve along which an object will slide the fastest between two points.
- 1710: Jakob Hermann demonstrated the conservation of the LaplaceâRungeâLenz vector for systems under an inverse-square central force , a conserved quantity of significant importance in orbital mechanics.
- 1714: Brook Taylor derived the fundamental frequency of a vibrating string by solving a differential equation, a key step in understanding wave phenomena.
- 1733: Daniel Bernoulli , son of Johann, derived the fundamental frequencies and harmonics of a hanging chain, again using differential equations. He also solved the differential equation for the vibrations of an elastic bar.
- 1739: Leonhard Euler, a titan of mathematics and physics, solved the differential equation for a forced harmonic oscillator , crucially identifying the phenomenon of resonance .
- 1742: Colin Maclaurin investigated the shapes of uniformly rotating self-gravitating fluid bodies, leading to his discovery of Maclaurin spheroids .
- 1743: Jean le Rond d’Alembert published his TraitĂ© de Dynamique, introducing the powerful concept of generalized forces and the foundational D’Alembert’s principle .
- 1747: D’Alembert and Alexis Clairaut made early attempts at approximate solutions to the notoriously difficult three-body problem .
- 1749: Leonhard Euler derived the equation for Coriolis acceleration , formalizing the effect that influences weather patterns and ocean currents.
- 1759: Euler solved the partial differential equation governing the vibration of a rectangular drum.
- 1764: Euler examined the vibrations of a circular drum, discovering solutions that are now recognized as Bessel functions .
- 1776: John Smeaton published experimental results correlating power , work , momentum , and kinetic energy , providing further support for the conservation of energy.
Analytical Mechanics
As the Newtonian framework solidified, mathematicians and physicists sought more abstract and powerful formulations.
- 1788: Joseph-Louis Lagrange introduced his highly influential Lagrangian mechanics , presenting his equations of motion in the Méchanique Analytique. This formulation shifted focus from forces to energy.
- 1798: Pierre-Simon Laplace began publishing his monumental Traité de mécanique céleste , a comprehensive synthesis and extension of celestial mechanics.
- 1803: Louis Poinsot formalized the concept of angular momentum conservation , extending previous insights.
- 1813: Peter Ewart published work supporting the conservation of energy, specifically in relation to “moving force.”
- 1821: William Hamilton commenced his deep investigations into mechanics, leading to the development of Hamilton’s characteristic function and the HamiltonâJacobi equation .
- 1829: Carl Friedrich Gauss introduced his Gauss’s principle of least constraint , a variational principle for constrained motion.
- 1834: Carl Jacobi discovered the existence of uniformly rotating self-gravitating ellipsoids , a class of solutions to the fluid dynamics equations.
- 1834: Louis Poinsot further explored rotational dynamics, noting an instance of the intermediate axis theorem .
- 1835: William Hamilton formally stated his canonical equations of motion, a key formulation in Hamiltonian mechanics .
- 1838: Liouville began his foundational work on Liouville’s theorem , which describes the conservation of phase space volume in Hamiltonian systems.
- 1841: Julius von Mayer , an independent thinker, proposed a paper on the conservation of energy, though its lack of formal academic presentation led to a priority dispute.
- 1847: Hermann von Helmholtz provided a rigorous and formal statement of the law of conservation of energy .
- First half of the 19th century: Cauchy developed fundamental equations in continuum mechanics, including his momentum equation and the Cauchy stress tensor .
- 1851: LĂ©on Foucault provided a dramatic, visible demonstration of the Earth’s rotation using his famous pendulum , the Foucault pendulum .
- 1870: Rudolf Clausius deduced the virial theorem , a powerful tool relating the average kinetic and potential energies of a system.
- 1890: Henri Poincaré discovered the profound sensitivity to initial conditions within the three-body problem , a groundbreaking insight into what would later be called chaos.
- 1898: Jacques Hadamard explored the properties of Hadamard billiards , a classic example in the study of dynamical systems and chaos.
Modern Developments
The 20th century brought about paradigm shifts, challenging the very foundations of classical mechanics, yet also extending its reach.
- 1900: Max Planck ’s introduction of the quantum concept, while marking the dawn of quantum mechanics , also highlighted the limitations of classical descriptions at the atomic scale.
- 1902: James Jeans determined the critical length scale for gravitational instabilities in a uniform medium, important for understanding the formation of cosmic structures.
- 1905: Albert Einstein provided a mathematical description of Brownian motion , offering strong evidence for the existence of atoms. He also introduced relativistic mechanics , fundamentally altering our understanding of space, time, and motion at high speeds.
- 1915: Emmy Noether proved her eponymous theorem, a profound result demonstrating the deep connection between symmetries in nature and conservation laws, a cornerstone of modern physics.
- 1915: Albert Einstein unveiled general relativity , a new theory of gravitation that superseded Newton’s, describing gravity as the curvature of spacetime.
- 1923: Ălie Cartan introduced the geometrized Newtonian gravitation , reinterpreting Newtonian gravity within a spacetime framework, bridging classical and relativistic ideas.
- 1931â1932: The work of Bernard Koopman and John von Neumann led to the development of Koopmanâvon Neumann classical mechanics , a unique formulation that uses Hilbert spaces to describe classical systems.
- 1954: Andrey Kolmogorov published the initial version of the KolmogorovâArnoldâMoser theorem , a crucial result in understanding the stability of dynamical systems.
- 1961: Edward Norton Lorenz , while working on weather prediction, discovered the Lorenz systems and inadvertently laid the groundwork for chaos theory , revealing the inherent unpredictability in seemingly deterministic systems.
- 1978: Vladimir Arnold provided a precise statement of the LiouvilleâArnold theorem , a significant result in the study of integrable systems.
- 1983: Mordehai Milgrom proposed modified Newtonian dynamics (MOND) as a potential explanation for galactic rotation curves without invoking dark matter .
- 1992: Udwadia and Kalaba developed the UdwadiaâKalaba equation , a direct and explicit method for solving equations of motion for constrained mechanical systems.
- 2003: John D. Norton introduced Norton’s dome , a thought experiment highlighting subtleties in the formulation of classical mechanics, particularly concerning the role of potential energy.
References
- Ossendrijver, Mathieu (29 Jan 2016). “Ancient Babylonian astronomers calculated Jupiter’s position from the area under a time-velocity graph”. Science. 351 (6272): 482â484. Bibcode :2016Sci…351..482O. doi :10.1126/science.aad8085. PMID 26823423. S2CID 206644971. Retrieved 29 January 2016.
- Sambursky, Samuel (2014). The Physical World of Late Antiquity. Princeton University Press. pp. 65â66. ISBN 978-1-4008-5898-9.
- Sorabji, Richard (2010). “John Philoponus”. Philoponus and the Rejection of Aristotelian Science (2nd ed.). Institute of Classical Studies, University of London. p. 47. ISBN 978-1-905-67018-5. JSTOR 44216227. OCLC 878730683.
- O’Connor, John J.; Robertson, Edmund F. , “Al-Biruni”, MacTutor History of Mathematics Archive , University of St Andrews : “One of the most important of al-Biruni’s many texts is Shadows which he is thought to have written around 1021. […] Shadows is an extremely important source for our knowledge of the history of mathematics, astronomy, and physics. It also contains important ideas such as the idea that acceleration is connected with non-uniform motion, using three rectangular coordinates to define a point in 3-space, and ideas that some see as anticipating the introduction of polar coordinates.”
- Pines, Shlomo (1964), “La dynamique d’Ibn Bajja”, in MĂ©langes Alexandre KoyrĂ©, I, 442â468 [462, 468], Paris. (cf. Abel B. Franco (October 2003). “Avempace, Projectile Motion, and Impetus Theory”, Journal of the History of Ideas 64 (4), p. 521-546 [543]: “Pines has also seen Avempace’s idea of fatigue as a precursor to the Leibnizian idea of force which, according to him, underlies Newton’s third law of motion and the concept of the ‘reaction’ of forces.”)
- Pines, Shlomo (1970). “Abu’l-BarakÄt al-BaghdÄdÄ«, Hibat Allah”. Dictionary of Scientific Biography . Vol. 1. New York: Charles Scribner’s Sons. pp. 26â28. ISBN 0-684-10114-9. (cf. Abel B. Franco (October 2003). “Avempace, Projectile Motion, and Impetus Theory”, Journal of the History of Ideas 64 (4), p. 521-546 [528]: Hibat Allah Abu’l-Barakat al-Bagdadi (c.1080- after 1164/65) extrapolated the theory for the case of falling bodies in an original way in his Kitab al-Mu’tabar (The Book of that Which is Established through Personal Reflection). […] This idea is, according to Pines, ’the oldest negation of Aristotle’s fundamental dynamic law [namely, that a constant force produces a uniform motion],’ and is thus an ‘anticipation in a vague fashion of the fundamental law of classical mechanics [namely, that a force applied continuously produces acceleration].’")
- Clagett (1968, p. 561), Nicole Oresme and the Medieval Geometry of Qualities and Motions; a treatise on the uniformity and difformity of intensities known as Tractatus de configurationibus qualitatum et motuum. Madison, WI: University of Wisconsin Press. ISBN 0-299-04880-2.
- Grant, 1996, p.103.
- Ragep, F. Jamil (2001), “Tusi and Copernicus: The Earth’s Motion in Context”, Science in Context 14 (1â2), p. 145â163. Cambridge University Press .
- “Timeline of Classical Mechanics and Free Fall”. www.scientus.org . Retrieved 2019-01-26.
- Sharratt, Michael (1994). Galileo: Decisive Innovator. Cambridge: Cambridge University Press. ISBN 0-521-56671-1, p. 198.
- Wallace, William A. (2004). Domingo de Soto and the Early Galileo. Aldershot: Ashgate Publishing. ISBN 0-86078-964-0 (pp. II 384, II 400, III 272).
- Bullialdus, Ismail (1645). Astronomia Philolaica âŠ. Paris, France: Piget. page 23.
- Iliffe, Rob & Smith, George E. (2016). The Cambridge Companion to Newton. Cambridge University Press. p. 75. ISBN 978-1-107-01546-3.
- Hermann, J. (1710). “Unknown title”. Giornale de Letterati d’Italia. 2: 447â467.
- Hermann, J. (1710). “Extrait d’une lettre de M. Herman Ă M. Bernoulli datĂ©e de PadoĂŒe le 12. Juillet 1710”. Histoire de l’AcadĂ©mie Royale des Sciences. 1732: 519â521.
- Poinsot (1834) Theorie Nouvelle de la Rotation des Corps, Bachelier, Paris.
- PoincarĂ©, H. (January 1900). “Introduction”. Acta Mathematica. 13 (1â2): 5â7. doi :10.1007/BF02392506. ISSN 0001-5962.
- a b c Oestreicher, Christian (2007-09-30). “A history of chaos theory”. Dialogues in Clinical Neuroscience. 9 (3): 279â289. doi :10.31887/DCNS.2007.9.3/coestreicher. ISSN 1958-5969. PMC 3202497. PMID 17969865.
- Malament, David B. (2012-04-02). Topics in the Foundations of General Relativity and Newtonian Gravitation Theory. University of Chicago Press. ISBN 978-0-226-50247-2.
- Joseph, Ilon (2020-10-19). “Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics”. Physical Review Research. 2 (4) 043102. arXiv :2003.09980. doi :10.1103/PhysRevResearch.2.043102.
- Parker, E.N. (1954). “Tensor Virial Equations”. Physical Review. 96 (6): 1686â1689. Bibcode :1954PhRv…96.1686P. doi :10.1103/PhysRev.96.1686.
- Arnold, V. I. (1978). Mathematical Methods of Classical Mechanics, Graduate Texts in Mathematics, Vol. 60. Springer, New York.
- Category
- v
- t
- e
History of physics (timeline ) Classical physics
- Astronomy
- Electromagnetism
- Electrical engineering
- Fluid mechanics
- Aerodynamics
- Field theory
- Gravitational theory
- Material science
- Metamaterials
- Mechanics
- timeline
- Variational principles
- Optics
- Spectroscopy
- Thermodynamics
- Classical crystallography
- Computational physics
- Condensed matter
- Cosmology
- General relativity
- Geophysics
- Nuclear physics
- Quantum mechanics
- Subatomic physics
- Special relativity
Recent developments
- Quantum information
- Loop quantum gravity
- Nanotechnology
- String theory
On specific discoveries
- Cosmic microwave background
- Graphene
- Gravitational waves
- Subatomic particles
- Speed of light
By periods
Scientific disputes