Question: What is the period of revolution of the planet that seemed to buck the gravitational laws of the author of Philosophiae Naturalis Principia Mathematica, in earth years?

full_context: Document 1: Karl Popper: The Quine-Duhem thesis argues that it's impossible to test a single hypothesis on its own, since each one comes as part of an environment of theories. Thus we can only say that the whole package of relevant theories has been collectively falsified, but cannot conclusively say which element of the package must be replaced. An example of this is given by the discovery of the planet Neptune: when the motion of Uranus was found not to match the predictions of Newton's laws, the theory "There are seven planets in the solar system" was rejected, and not Newton's laws themselves. Popper discussed this critique of naïve falsificationism in Chapters 3 and 4 of The Logic of Scientific Discovery. For Popper, theories are accepted or rejected via a sort of selection process. Theories that say more about the way things appear are to be preferred over those that do not; the more generally applicable a theory is, the greater its value. Thus Newton's laws, with their wide general application, are to be preferred over the much more specific "the solar system has seven planets".[dubious – discuss]
Document 2: Voltaire: In the fall of 1735, Voltaire was visited by Francesco Algarotti, who was preparing a book about Newton in Italian. Partly inspired by the visit, the Marquise translated Newton's Latin Principia into French in full, and it remained the definitive French translation into the 21st century. Both she and Voltaire were also curious about the philosophies of Gottfried Leibniz, a contemporary and rival of Newton. While Voltaire remained a firm Newtonian, the Marquise adopted certain aspects of Leibniz's arguments against Newton. Voltaire's own book Elements of Newton's Philosophy made Newton accessible and understandable to a far greater public, and the Marquise wrote a celebratory review in the Journal des savants. Voltaire's work was instrumental in bringing about general acceptance of Newton's optical and gravitational theories in France.Voltaire and the Marquise also studied history, particularly those persons who had contributed to civilization. Voltaire's second essay in English had been "Essay upon the Civil Wars in France". It was followed by La Henriade, an epic poem on the French King Henri IV, glorifying his attempt to end the Catholic-Protestant massacres with the Edict of Nantes, and by a historical novel on King Charles XII of Sweden. These, along with his Letters on the English mark the beginning of Voltaire's open criticism of intolerance and established religions. Voltaire and the Marquise also explored philosophy, particularly metaphysics, the branch of philosophy that deals with being and with what lies beyond the material realm, such as whether or not there is a God and whether people have souls. Voltaire and the Marquise analyzed the Bible and concluded that much of its content was dubious. Voltaire's critical views on religion are reflected in his belief in separation of church and state and religious freedom, ideas that he had formed after his stay in England.
Document 3: History of gravitational theory: In 1687, English mathematician Sir Isaac Newton published Principia, which hypothesizes the inverse - square law of universal gravitation. In his own words, ``I deduced that the forces which keep the planets in their orbs must be reciprocally as the squares of their distances from the centers about which they revolve; and thereby compared the force requisite to keep the Moon in her orb with the force of gravity at the surface of the Earth; and found them answer pretty nearly. ''
Document 4: Philosophiæ Naturalis Principia Mathematica: The French mathematical physicist Alexis Clairaut assessed it in 1747: "The famous book of Mathematical Principles of Natural Philosophy marked the epoch of a great revolution in physics. The method followed by its illustrious author Sir Newton ... spread the light of mathematics on a science which up to then had remained in the darkness of conjectures and hypotheses."A more recent assessment has been that while acceptance of Newton's theories was not immediate, by the end of a century after publication in 1687, "no one could deny that" (out of the Principia) "a science had emerged that, at least in certain respects, so far exceeded anything that had ever gone before that it stood alone as the ultimate exemplar of science generally."In formulating his physical theories, Newton developed and used mathematical methods now included in the field of calculus. But the language of calculus as we know it was largely absent from the Principia; Newton gave many of his proofs in a geometric form of infinitesimal calculus, based on limits of ratios of vanishing small geometric quantities. In a revised conclusion to the Principia (see General Scholium), Newton used his expression that became famous, Hypotheses non fingo ("I feign no hypotheses").
Document 5: Philosophiæ Naturalis Principia Mathematica: The French mathematical physicist Alexis Clairaut assessed it in 1747: "The famous book of "Mathematical Principles of Natural Philosophy" marked the epoch of a great revolution in physics. The method followed by its illustrious author Sir Newton ... spread the light of mathematics on a science which up to then had remained in the darkness of conjectures and hypotheses."
Document 6: Force: It was only the orbit of the planet Mercury that Newton's Law of Gravitation seemed not to fully explain. Some astrophysicists predicted the existence of another planet (Vulcan) that would explain the discrepancies; however, despite some early indications, no such planet could be found. When Albert Einstein formulated his theory of general relativity (GR) he turned his attention to the problem of Mercury's orbit and found that his theory added a correction, which could account for the discrepancy. This was the first time that Newton's Theory of Gravity had been shown to be less correct than an alternative.
Document 7: Planets in astrology: Mercury () is the ruling planet of Gemini and is exalted in Virgo and Aquarius. In classical Roman mythology, Mercury is the messenger of the gods, noted for his speed and swiftness. Echoing this, the scorching, airless world Mercury circles the Sun on the fastest orbit of any planet. Mercury takes only 88 days to orbit the Sun, spending about 7.33 days in each sign of the zodiac. Mercury is so close to the Sun that only a brief period exists after the Sun has set where it can be seen with the naked eye, before following the Sun beyond the horizon.Astrologically speaking, Mercury represents the principles of communication, mentality, thinking patterns, rationality and reasoning, and adaptability and variability. Mercury governs schooling and education, the immediate environment of neighbors, siblings and cousins, transport over short distances, messages and forms of communication such as post, email and telephone, newspapers, journalism and writing, information gathering skills and physical dexterity. The 1st-century poet Marcus Manilius described Mercury as an inconstant, vivacious and curious planet.
Document 8: Neptune: Neptune is the eighth and farthest known planet from the Sun in the Solar System. In the Solar System, it is the fourth - largest planet by diameter, the third-most - massive planet, and the densest giant planet. Neptune is 17 times the mass of Earth and is slightly more massive than its near - twin Uranus, which is 15 times the mass of Earth and slightly larger than Neptune. Neptune orbits the Sun once every 164.8 years at an average distance of 30.1 AU (4.5 billion km). It is named after the Roman god of the sea and has the astronomical symbol ♆, a stylised version of the god Neptune's trident.
Document 9: Mars: Mars is the fourth planet from the Sun and the second - smallest planet in the Solar System after Mercury. In English, Mars carries a name of the Roman god of war, and is often referred to as the ``Red Planet ''because the reddish iron oxide prevalent on its surface gives it a reddish appearance that is distinctive among the astronomical bodies visible to the naked eye. Mars is a terrestrial planet with a thin atmosphere, having surface features reminiscent both of the impact craters of the Moon and the valleys, deserts, and polar ice caps of Earth.
Document 10: Sobkou Planitia: Sobkou Planitia is a large basin on the planet Mercury. It is named after the ancient Egyptian messenger deity Sobkou (whose name is more usually transliterated Sobek). He was associated by the Egyptians with the planet Mercury.
Document 11: Force: Philosophers in antiquity used the concept of force in the study of stationary and moving objects and simple machines, but thinkers such as Aristotle and Archimedes retained fundamental errors in understanding force. In part this was due to an incomplete understanding of the sometimes non-obvious force of friction, and a consequently inadequate view of the nature of natural motion. A fundamental error was the belief that a force is required to maintain motion, even at a constant velocity. Most of the previous misunderstandings about motion and force were eventually corrected by Galileo Galilei and Sir Isaac Newton. With his mathematical insight, Sir Isaac Newton formulated laws of motion that were not improved-on for nearly three hundred years. By the early 20th century, Einstein developed a theory of relativity that correctly predicted the action of forces on objects with increasing momenta near the speed of light, and also provided insight into the forces produced by gravitation and inertia.
Document 12: Philosophiæ Naturalis Principia Mathematica: Philosophiæ Naturalis Principia Mathematica (Latin for "Mathematical Principles of Natural Philosophy"), often referred to as simply the Principia (), is a work in three books by Isaac Newton, in Latin, first published 5 July 1687. After annotating and correcting his personal copy of the first edition, Newton published two further editions, in 1713 and 1726. The "Principia" states Newton's laws of motion, forming the foundation of classical mechanics; Newton's law of universal gravitation; and a derivation of Kepler's laws of planetary motion (which Kepler first obtained empirically).
Document 13: Age of Enlightenment: There is little consensus on the precise beginning of the Age of Enlightenment; the beginning of the 18th century (1701) or the middle of the 17th century (1650) are often used as epochs. French historians usually place the period, called the Siècle des Lumières (Century of Enlightenments), between 1715 and 1789, from the beginning of the reign of Louis XV until the French Revolution. If taken back to the mid-17th century, the Enlightenment would trace its origins to Descartes' Discourse on Method, published in 1637. In France, many cited the publication of Isaac Newton's Principia Mathematica in 1687. It is argued by several historians and philosophers that the beginning of the Enlightenment is when Descartes shifted the epistemological basis from external authority to internal certainty by his cogito ergo sum published in 1637. As to its end, most scholars use the last years of the century, often choosing the French Revolution of 1789 or the beginning of the Napoleonic Wars (1804–15) as a convenient point in time with which to date the end of the Enlightenment.
Document 14: General relativity: General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics. General relativity generalizes special relativity and refines Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time, or spacetime. In particular, the "" is directly related to the energy and momentum of whatever matter and radiation are present. The relation is specified by the Einstein field equations, a system of partial differential equations.
Document 15: Mercury (planet): Mercury is the smallest and innermost planet in the Solar System. Its orbital period around the Sun of 88 days is the shortest of all the planets in the Solar System. It is named after the Roman deity Mercury, the messenger to the gods.
ground_truth: 88 days
sub_queries: Philosophiae Naturalis Principia Mathematica >> author Answer: Newton
What planet seemed to buck Newton 's gravitational laws? Answer: Mercury
what is the period of revolution of Mercury in earth years Answer: 88 days