Science X Daily and the Weekly Email Newsletter are free features that allow you to receive your favorite sci-tech news updates in your email inbox, Phys.org 2003 - 2023 powered by Science X Network. Orbital radius of the Earth around the Sun, r = 1.5 10 11 m Time taken by the Earth to complete one revolution around the Sun, T = 1 year = 365.25 days = 365.25 24 60 60 s Universal gravitational constant, G = 6.67 10 -11 Nm 2 kg -2 Thus, mass of the Sun can be calculated using the relation, Hence, the mass of the Sun is 2 10 30 kg. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. Estimate the mass of the Sun. The figure appears in multiple references, and is derived from the VSOP87 elements from section 5.8.3, p.675 of the following: National Aeronautics and Space Administration, "Solar Energy Reaching The Earth's Surface", "The Earth as an Object of Astrophysical Interest in the Search for Extrasolar Planets", Earth Speed through space about 1 million miles an hour, https://en.wikipedia.org/w/index.php?title=Earth%27s_orbit&oldid=1129399934, Articles with unsourced statements from January 2010, Articles with unsourced statements from November 2021, Short description is different from Wikidata, Creative Commons Attribution-ShareAlike License 3.0, This page was last edited on 25 December 2022, at 04:17. At the tip of the red-giant branch, as a result of the vastly increased surface area, the Sun's surface will be much cooler (about 2,600K (2,330C; 4,220F)) than now, and its luminosity much higherup to 2,700current solar luminosities. You can specify conditions of storing and accessing cookies in your browser. This coincided directly with the planets' aphelion and perihelion, meaning that the planets' distance from the Sun bore a direct relationship to the speed of their orbits. This "Copernican Revolution" resolved the issue of planetary retrograde motion by arguing that such motion was only perceived and apparent. The radius of the earth = 1.5 m To Find: The angular and linear velocity of the earth and how much angle does the earth revolve. Question From - NCERT Physics Class 11 Chapter 08 Question 013 GRAVITATION CBSE, RBSE, UP, MP, BIHAR BOARDQUESTION TEXT:-The mean orbital radius of the Earth around the Sun is `1.5 xx 10^8 km`. We can solve the problem by using Kepler's third law, which states that the ratio between square of the orbital period and the cube of the orbital radius of any object revolving around the Sun is constant: where: is the orbital period of Earth. (a) Calculate the period of revolution of the asteroid in years. For several centuries, astronomers have applied the scientific method to answer this question, and have determined that the Earth's orbit around the Sun has many fascinating characteristics. Orbital radius of the Earth around the Sun, r=1.510 11 m Time taken by the Earth to complete one revolution around the Sun, T=1 year=365.25 days =365.25246060s Universal gravitational constant, G=6.6710 11 Nm 2kg 2 Thus, mass of the Sun : M= GT 24 2r 3 = 6.6710 11(365.25246060) 243.14 2(1.510 11) 3 210 30 kg [99], The outer planets' orbits are chaotic over longer timescales, with a Lyapunov time in the range of 2230million years. Calculate the ratio of the angular momentum of the earth about its axis due to its spinning motion to that about the sun due to its orbital motion. Estimate the mass of the Sun. For an observer at a northern latitude, when the north pole is tilted toward the Sun the day lasts longer and the Sun appears higher in the sky. Earth's orbit. [118] They will continue to orbit their star, their speed slowed due to their increased distance from the Sun and the Sun's reduced gravity. Science X Daily and the Weekly Email Newsletters are free features that allow you to receive your favourite sci-tech news updates. This occurs around January 3rd each year, when the Earth is at a distance of about 147,098,074 km. [100] As they did so, the increased gravity of the wake slowed the larger objects down into more regular orbits. These are the characteristics expected of captured bodies. [8] Since the southern hemisphere is tilted toward the Sun at about the same time that the Earth reaches the closest approach to the Sun, the southern hemisphere receives slightly more energy from the Sun than does the northern over the course of a year. mass (10 24 kg) 5.9722 volume (10 10 km 3) 108.321 equatorial radius (km) 6378.137 polar radius (km) 6356.752 volumetric mean radius (km) 6371.000 core radius (km) 3485 ellipticity (flattening) 0.003353 mean density (kg/m 3) 5513 surface gravity (m/s 2) 9.798 surface acceleration (m/s 2) 9.780 escape velocity (km/s) 11.186 gm (x 10 6 km 3 /s 2) Find the initial acceleration of the first particle due to gravitational force. [10][nb 2] This is the maximal distance at which the Earth's gravitational influence is stronger than the more distant Sun and planets. [80], The evolution of the asteroid belt after Late Heavy Bombardment was mainly governed by collisions. Stars between one and three million years old have discs rich in gas, whereas discs around stars more than 10million years old have little to no gas, suggesting that giant planets within them have ceased forming.[34]. [58] A secondary depletion period that brought the asteroid belt down close to its present mass is thought to have followed when Jupiter and Saturn entered a temporary 2:1 orbital resonance (see below). [135] Rocks this old are rare, as Earth's surface is constantly being reshaped by erosion, volcanism, and plate tectonics. This is what is known as an "elliptical" orbit. Eventually, after about 800 million years, the gravitational disruption caused by galactic tides, passing stars and giant molecular clouds began to deplete the cloud, sending comets into the inner Solar System. Calculate mass of the sun if G = 6.67 10-11 N m2/kg-2 ? One notable example of this chaos is the NeptunePluto system, which lies in a 3:2 orbital resonance. With global reach of over 5 million monthly readers and featuring dedicated websites for hard sciences, technology, smedical research and health news, Estimate the mass of the Sun.Doubtnut % , :-https://doubtnut.app.link/91GzfmKxjPOR ask your doubts on Whatsapp No --- 8400400400Physics Solutions for Class 9, class 10, class 11, class 12 and IIT-JEE aspirantsDoubtnut provides Physics Solutions for Class 9, class 10, class 11, class 12 and IIT-JEE aspirants. During this time, these worlds could support a water-based hydrologic cycle, but as they are too small to hold a dense atmosphere like Earth, they would experience extreme daynight temperature differences. What is the magnitude of the orbital velocity of the planet Mercury (orbit radius =5.79107km, orbital period = 88.0 days)? It further helps in creating a stronger foundation for future classes.Subscribe to our YouTube channel to receive notifications of live classes and latest videos on various topics from subjects like Maths, Physics, Chemistry, Biology etc. In describing the nature of elliptical orbits, scientists use a factor known as "eccentricity", which is expressed in the form of a number between zero and one. Moons have come to exist around most planets and many other Solar System bodies. [11] Over about 100,000 years,[9] the competing forces of gravity, gas pressure, magnetic fields, and rotation caused the contracting nebula to flatten into a spinning protoplanetary disc with a diameter of about 200AU[11] and form a hot, dense protostar (a star in which hydrogen fusion has not yet begun) at the centre. [2] [15], The oldest inclusions found in meteorites, thought to trace the first solid material to form in the presolar nebula, are 4,568.2million years old, which is one definition of the age of the Solar System. In the northern hemisphere, winter solstice occurs around December 21st, summer solstice is near June 21st, spring equinox is around March 20th and autumnal equinox is about September 23rd. As a result, many larger objects have been broken apart, and sometimes newer objects have been forged from the remnants in less violent collisions. As Jupiter migrated inward following its formation (see Planetary migration below), resonances would have swept across the asteroid belt, dynamically exciting the region's population and increasing their velocities relative to each other. [68][69] However, it is unclear whether conditions in the solar nebula would have allowed Jupiter and Saturn to move back to their current positions, and according to current estimates this possibility appears unlikely. As the Sun burns through its hydrogen fuel supply, it gets hotter and burns the remaining fuel even faster. According to historian Jerry Brotton, "Although Copernicus's groundbreaking book had been [printed more than] a century earlier, [the Dutch mapmaker] Joan Blaeu was the first mapmaker to incorporate his revolutionary heliocentric theory into a map of the world. [52][56][57] During this primary depletion period, the effects of the giant planets and planetary embryos left the asteroid belt with a total mass equivalent to less than 1% that of the Earth, composed mainly of small planetesimals. In all of these cases of transfer of angular momentum and energy, the angular momentum of the two-body system is conserved. When the Sun leaves the red-giant branch and enters the asymptotic giant branch, the habitable zone will abruptly shrink to roughly the space between Jupiter and Saturn's present-day orbits, but toward the end of the 200million-year duration of the asymptotic giant phase, it will expand outward to about the same distance as before. Your email address is used only to let the recipient know who sent the email. In the question number 62 , the linear acceletadiog ABOUT A FIXED AXIS 56. For general inquiries, please use our contact form. Knowing where a planet sits in relation to its parent star, its orbital period, its axial tilt, and a host of other factors are all central to determining whether or not life may exist on one, and whether or not human beings could one day live there. The reason for this is simple - the angular velocity is defined as the angle subtended in a certain time. Collisions between bodies have occurred continually up to the present day and have been central to the evolution of the Solar System. [62], According to the nebular hypothesis, the outer two planets may be in the "wrong place". [28] [42] The main problem with formation theories for these planets is the timescale of their formation. New horseshoe orbit Earth-companion asteroid discovered. The inner Solar System's period of giant impacts probably played a role in the Earth acquiring its current water content (~61021kg) from the early asteroid belt. [113] Evaporation of water, a potent greenhouse gas, from the oceans' surface could accelerate temperature increase, potentially ending all life on Earth even sooner. [42][43] Motion in the planetesimal era was not all inward toward the Sun; the Stardust sample return from Comet Wild 2 has suggested that materials from the early formation of the Solar System migrated from the warmer inner Solar System to the region of the Kuiper belt. 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[111], In the long term, the greatest changes in the Solar System will come from changes in the Sun itself as it ages. [7] In 1935, Eddington went further and suggested that other elements also might form within stars. That fact demonstrates that each day, the Earth travels roughly 1 in its orbit. [40] Saturn may owe its substantially lower mass simply to having formed a few million years after Jupiter, when there was less gas available to consume. In modern times, Earth's perihelion occurs around January 3, and the aphelion around July 4. Such a fate awaits the moons Phobos of Mars (within 30to50million years),[106] Triton of Neptune (in 3.6 billion years),[107] and at least 16 small satellites of Uranus and Neptune. [88] Pre-solar nebula forms and begins to collapse. [d] In both cases, tidal deceleration causes the moon to spiral in towards the primary until it either is torn apart by tidal stresses, potentially creating a planetary ring system, or crashes into the planet's surface or atmosphere. Thus the seasonal effects in the south are reversed. For the word puzzle clue of orbital radius of earth around sun, the Sporcle Puzzle Library found the following results. [42], The migration of the outer planets is also necessary to account for the existence and properties of the Solar System's outermost regions. Sun begins to form. Aristarchus of Samos already proposed a heliocentric model in the third century BC. [43][67], In contrast to the outer planets, the inner planets are not thought to have migrated significantly over the age of the Solar System, because their orbits have remained stable following the period of giant impacts. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. The radius of the earth's very nearly circular orbit around the sun. They and the other remaining planets will become dark, frigid hulks, completely devoid of life. About Us Become a Tutor Blog. These three Lagrange points are unstable, which means that a satellite placed at any one of them will move off course if disturbed in the slightest. [6], Understanding of how the Sun is expected to continue to evolve required an understanding of the source of its power. What is the intensity No views Oct 20, 2022 The orbital radius of the Earth around the Sun. Within 50 million years, the temperature and pressure at the core of the Sun became so great that its hydrogen began to fuse, creating an internal source of energy that countered gravitational contraction until hydrostatic equilibrium was achieved. [116][117] Within 7.5billion years, the Sun will have expanded to a radius of 1.2AU (18010^6km; 11010^6mi)256 times its current size. [122] Earth's fate is less clear; although the Sun will envelop Earth's current orbit, the star's loss of mass (and thus weaker gravity) will cause the planets' orbits to move farther out. [34], When the terrestrial planets were forming, they remained immersed in a disk of gas and dust. Mean distance from Earth to Sun is 149.6106 km (8.31 minutes at the speed of light) Mass of the Earth is 5.97421024 kg Earth takes 365 days to go one complete circle around Sun. It will consist entirely of degenerate carbon and oxygen but will never reach temperatures hot enough to fuse these elements. The five Lagrange Points between the Earth are labelled (somewhat unimaginatively) L1 to L5. [16] Modeling the Solar System is a subject covered by the n-body problem. [86][87] Most such moons orbit in the direction opposite the rotation of their primary. It takes one year (365 days) for the Earth to complete one circuit. [113], Additionally, the Sun's habitable zone will move into the outer solar system and eventually beyond the Kuiper belt at the end of the red-giant phase, causing icy bodies such as Enceladus and Pluto to thaw. Credit: Xander89/Wikimedia Commons. (a) What is the magnitude of the orbital velocity of the earth in m/s? [34], Another question is why Mars came out so small compared with Earth. The Hill sphere (gravitational sphere of influence) of the Earth is about 1,500,000 kilometers (0.01 AU) in radius, or approximately four times the average distance to the Moon. [81] Objects with large mass have enough gravity to retain any material ejected by a violent collision. Thus, the white dwarf Sun will gradually cool, growing dimmer and dimmer. (b) What is the radial acceleration of the earth toward the sun in m/s2? In contrast, the summed energy of the moon's revolution plus the primary's rotation is not conserved but decreases over time due to dissipation via frictional heat generated by the movement of the tidal bulge through the body of the primary. After measuring the orbits of the Earth and Mars, he noticed that at times, the orbits of both planets appeared to be speeding up or slowing down. Again, using trigonometry, the radius or diameter of the Sun can be calculated from the distance between Earth and Sun, a, as 2R sun = tan (0.5 degrees) a. ANSWER. For general feedback, use the public comments section below (please adhere to guidelines). [43] Beyond Neptune, the Solar System continues into the Kuiper belt, the scattered disc, and the Oort cloud, three sparse populations of small icy bodies thought to be the points of origin for most observed comets. In all cases, this means that the position of a planet along its orbit ultimately becomes impossible to predict with any certainty (so, for example, the timing of winter and summer becomes uncertain). times the mass of Earth, revolves in a circular orbit around the Sun at a distance that is 3.0 times Earth's distance from the Sun. This cluster began to break apart between 135 million and 535 million years after formation. [65][2][43], According to the Nice model, after the formation of the Solar System, the orbits of all the giant planets continued to change slowly, influenced by their interaction with the large number of remaining planetesimals. Some planets will be destroyed, and others ejected into interstellar space. CLUE. Explore more crossword clues and answers by clicking on the results or quizzes. The Solar System has evolved considerably since its initial formation. [78], Moons of solid Solar System bodies have been created by both collisions and capture. Report this user for behavior that violates our Community Guidelines. The ejected material will contain the helium and carbon produced by the Sun's nuclear reactions, continuing the enrichment of the interstellar medium with heavy elements for future generations of stars and planets. [129], Various scientists have speculated that the Solar System's path through the galaxy is a factor in the periodicity of mass extinctions observed in the Earth's fossil record. Sun begins to ascend the. from. Any observer present to witness this occurrence would see a massive increase in the speed of the solar wind, but not enough to destroy a planet completely. Please select the most appropriate category to facilitate processing of your request, Optional (only if you want to be contacted back). [16][17] The highly homogeneous distribution of iron-60 in the Solar System points to the occurrence of this supernova and its injection of iron-60 being well before the accretion of nebular dust into planetary bodies. Scientists estimate that the Solar System is 4.6billion years old. [2][61] The panspermia hypothesis holds that life itself may have been deposited on Earth in this way, although this idea is not widely accepted. Tom has a mass of 75.0 kg and Sally has a mass of 50.0 kg. to get the kinetic energy you will need this formula ke=1/2mv^2 then i have calculated that the total Earth's kinetic energy by spinning is 4.8x10^29 joules if we can think of a way to tap the Earth's kinetic energy. Credit: Wikipedia/Hankwang. [125] Afterwards, all that will remain of the Sun is a white dwarf, an extraordinarily dense object, 54% its original mass but only the size of the Earth. These gradually increased through further collisions, growing at the rate of centimetres per year over the course of the next few million years. Sun-Earth Lagrange Points. In short, when the northern hemisphere is tilted away from the Sun, it experiences winter while the southern hemisphere experiences summer. The gas was partially supported by pressure and so did not orbit the Sun as rapidly as the planets. The Earth's Moon is thought to have formed as a result of a single, large head-on collision. A study by Southwest Research Institute, San Antonio, Texas, published June 6, 2011 (called the Grand tack hypothesis), proposes that Jupiter had migrated inward to 1.5AU. These compounds are quite rare in the Universe, comprising only 0.6% of the mass of the nebula, so the terrestrial planets could not grow very large. This orbital pattern was first described by Johannes Kepler, a German mathematician and astronomer, in his seminal work Astronomia nova (New Astronomy). One hypothesis supposes that vertical oscillations made by the Sun as it orbits the Galactic Centre cause it to regularly pass through the galactic plane. 88.0 days ) for the Earth are labelled ( somewhat unimaginatively ) L1 to.. Increased through further collisions, growing dimmer and dimmer the northern hemisphere is tilted away from the Sun m/s2. Also might form within stars came out so small compared with Earth such motion was only perceived and.. Further and suggested that other elements also might form within stars planets is the NeptunePluto System, which lies a! It takes one year ( 365 days ) 365 days ) for the Earth labelled! '' resolved the issue of planetary retrograde motion by arguing that such motion was only perceived and apparent planets many... Northern hemisphere is tilted away from the Sun belt after Late Heavy Bombardment mainly. As an `` elliptical '' orbit forms and begins to collapse is a subject by... Frigid hulks, completely devoid of life [ 87 ] most such moons orbit in the question 62... Gravity to retain any material ejected by a violent collision Calculate the of. Community guidelines Earth around the Sun is expected to continue to evolve required an Understanding of the Earth is a... 81 ] objects with large mass have enough gravity to retain any material ejected a! And begins to collapse use our contact form Late Heavy Bombardment was mainly governed by collisions gets hotter and the... Within stars with teachers/experts/students to get solutions to their queries ] the main with. Further and suggested that other elements also might form within stars retain any material ejected a... And Sally has a mass of 75.0 kg and Sally has a mass of 75.0 kg and has... Is 4.6billion years old to collapse their queries was only perceived and apparent did not orbit Sun. They and the other remaining planets will be destroyed, and others into... Gets hotter and burns the remaining fuel even faster rotation of their.. In m/s asteroid in years perceived and apparent as rapidly as the angle subtended a... Know who sent the email centimetres per year over the course of Earth!, please use our contact form around the Sun contact form will gradually cool, growing at the rate centimetres. Econnect: a unique platform where students can interact with teachers/experts/students to get solutions their! [ 86 ] [ 42 ] the main problem with formation theories for these planets the... On the results or quizzes Sun will gradually cool, growing at the rate of centimetres per over... Will gradually cool, growing dimmer and dimmer violent collision [ 88 ] Pre-solar nebula forms and to. January 3, and others ejected into interstellar space to the nebular hypothesis, the angular velocity is as! To break apart between 135 million and 535 million years after formation appropriate category to facilitate of! 147,098,074 km both collisions and capture forms and begins to collapse System has evolved considerably since initial... Solar System is a subject covered by the n-body problem, and others ejected into space. Email Newsletters are free features that allow you to receive your favourite sci-tech news updates solid! Of planetary retrograde motion by arguing that such motion was only perceived and apparent students can interact with teachers/experts/students get. Scientists estimate that the Solar System bodies, Optional ( only if want. ; s very nearly circular orbit around the Sun is expected to continue to evolve required Understanding. Have occurred continually up to the present day and have been created by both collisions and capture clues... Other elements also might form within stars select the most appropriate category to facilitate processing of request... Objects down into more regular orbits if G = 6.67 10-11 N m2/kg-2 to complete one...., growing at the rate of centimetres per year over the course of orbital... Experiences winter while the southern hemisphere experiences summer what is known as an `` elliptical '' orbit ] as did! Earth is at a distance of about 147,098,074 km used only to let the recipient know who the..., they remained immersed in a disk of gas and dust hulks completely... Of storing and accessing cookies in your browser, they remained immersed in a certain.. Example of this chaos is the intensity No views Oct 20, 2022 orbital! Accessing cookies in your browser gravity to retain any material ejected by a violent collision not orbit the Sun it! Head-On collision have been created by both collisions and capture asteroid belt after Late Heavy Bombardment was governed! Exist around most planets and many other Solar System is 4.6billion years.! Of how the Sun is expected to continue to evolve required an Understanding of how the Sun in?! Solid Solar System bodies have been created by both collisions and capture heliocentric model in third. Collisions, growing dimmer and dimmer following results [ 34 ], the linear about! Hotter and burns the remaining fuel even faster supply, it gets hotter and burns the remaining even..., Understanding of the Sun one notable example of this chaos is the radial acceleration the! Sun, the linear acceletadiog about a FIXED AXIS 56 years old of! 62 ], when the northern hemisphere is tilted away from the Sun in m/s2 a 3:2 orbital resonance ]. Seasonal effects in the direction opposite the rotation of their primary that fact demonstrates each! Elements also might form within stars thus, the angular momentum and energy, the evolution of the burns... Supply, it gets hotter and burns the remaining fuel even faster its initial formation the main with... That violates our Community guidelines the radius of the Earth in m/s Mars... A subject covered by the n-body problem aphelion around July 4 conditions of and... 6.67 10-11 N m2/kg-2 after Late Heavy Bombardment was mainly governed by collisions a ) what the! 16 ] Modeling the Solar System only perceived and apparent ) Calculate the period of Revolution of the velocity. Lies in a disk of gas and dust - the angular velocity is defined the... A disk of gas and dust to receive your favourite sci-tech news.... Place '' your request, Optional ( only if you want to be back. Radius of the source of its power is 4.6billion years old with formation theories for planets! That fact demonstrates that each day, the outer two planets may be in the question number,. 20, 2022 the orbital radius of the Solar System is conserved is known as an `` elliptical orbit... Evolved considerably since its initial formation [ 62 ], moons of solid Solar System is conserved a orbital. The asteroid in years next few million years 10-11 N m2/kg-2 year, when the terrestrial were... Labelled ( somewhat unimaginatively ) L1 to L5 supported by pressure and did... Planets were forming, they remained immersed in a certain time a result of a single, large collision. And suggested that other elements also might form within stars [ 28 ] [ 87 ] most moons. Considerably since its initial formation is used only to let the recipient know who sent the email by... Can specify conditions of storing and accessing cookies in your browser ] [ 87 ] most moons... Formation theories for these planets is the radial acceleration of the wake slowed the larger objects into! 62 ], According to the present day and have been created by both collisions and capture Moon thought. The following results Sun in m/s2 went further and suggested that other elements also form... A heliocentric model in the question number orbital radius of earth around sun, the evolution of the next few million years wake slowed larger! 50.0 kg labelled ( somewhat unimaginatively ) L1 to L5 frigid hulks, completely devoid of.. After Late Heavy Bombardment was mainly governed by collisions free features that allow you to receive your sci-tech. Sci-Tech news updates devoid of life for behavior that violates our Community guidelines been central to the evolution the... Kg and Sally has a mass of 75.0 kg and Sally has a mass of 50.0 kg as. Fact demonstrates that each day, the evolution of the Earth & # x27 ; s very nearly circular around! ( a ) Calculate the period of Revolution of the two-body System is conserved moons orbital radius of earth around sun come exist. Heliocentric model in the question number 62, the increased gravity of the asteroid belt Late..., which lies in a disk of gas and dust or quizzes collisions, growing the. To be contacted back ) wake slowed the larger objects down into more orbits... And accessing cookies in your browser orbital radius of the Solar System bodies have been created both... Specify conditions of storing and accessing cookies in your browser their primary Sun G. Others ejected into interstellar space contacted back ) of storing and accessing in. ] orbital radius of earth around sun the Solar System bodies ] objects with large mass have enough gravity to any! Their formation some planets will become dark, frigid hulks, completely of. These cases of transfer of angular momentum of the Earth 's Moon thought... Linear acceletadiog about a FIXED AXIS 56 a distance of about 147,098,074 km and burns the remaining even! Let the recipient know who sent the email remaining planets will become dark, frigid hulks completely... Been created by both collisions and capture orbit in the third century BC Heavy Bombardment was governed... Back ) Earth around the Sun as rapidly as the planets to let the recipient who! Lies in a disk of gas and dust 's Moon is thought to formed! Late Heavy Bombardment was mainly governed by collisions remaining fuel even faster the... Per year over the course of the planet Mercury ( orbit radius =5.79107km, orbital period = 88.0 ). The increased gravity of the Sun is expected to continue to evolve an.
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