WebOrbital period: 165 years; Mass: 1.024 10^26 kg (17.15 M) Moons: (14, including Triton) Date of Discovery: September 23, 1846 by Urbain Le Verrier & Johann Galle; How did Neptune get its name: Neptune is the eighth planet in our solar system and is known for its beautiful blue color. Your Age on Other Worlds The eccentricity (e) is a number which Saturn: 10,755.70 days (29.5 years) The planets of the solar system have different orbital periods. are not subject to the Creative Commons license and may not be reproduced without the prior and express written Voyager 2s encounter with Neptune Im gonna make tons of books with this website! The planet Neptune, for example, takes almost 165 years to orbit the sun. (Ceres is the largest of the asteroids, now considered a dwarf planet.). Eccentricity is the amount an orbits path differs from a perfect circle. Dwarf Planets * Negative values of rotation period indicate that the planet rotates in the direction opposite to that in which it orbits the Sun. In 2011 Neptune completed its first 165-year orbit since its discovery in 1846. WebThis is a list of astronomical objects formerly widely considered planets under any of the various definitions of this word in the history of astronomy. then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a digital format, Thanks for helping me with my schoolwork! If we compare the triangles formed by the position and velocity vectors, we find that they are similar triangles. Our editors will review what youve submitted and determine whether to revise the article. The precise amount of time in Earth days it takes for each planet to complete its orbit can be seen below. amazing at helping people, plot twist we are the sun and the sun is earth. As the definition of planet has evolved, the de facto and de jure definitions of planet have changed over the millennia. Mission control would have to evaluate the total energy (kinetic and potential) of the Earth-Satellite system before and after the orbital maneuver and calculate the difference. Mercury: 87.97 days (0.2 years) Let's calculate the orbital period of Venus (in days) from knowledge of G, the mass of the sunis \(M_S=1.99\times 10^{30}\;\mathrm{kg}\), and the orbital radius of Venus is0.7 AU. See the list of gravitationally rounded objects of the Solar System for a list of geophysical planets. Fig. Now we will calculate the orbital speed of Jupiter, considering its radius of orbit around the Sun can be approximated to a circular orbit of \(5.2\;\mathrm{AU}\). A year is defined as the time it takes a planet to complete one revolutionof the Sun, for Earth this is just over 365 days. 1 AU is the distance of Earth from the Sun.) Set individual study goals and earn points reaching them. WebThe orbital period is given in units of earth-years where 1 earth year is the time required for the earth to orbit the sun - 3.156 x 10 7 seconds. Planets Therefore, by increasing the kinetic energy of an orbiting object its gravitational potential energy will decrease proportionally, $$\begin{align*}E&=K\;+\;U,\\E&=\text{constant},\\W&=\triangle E.\end{align*}$$. Some planetary scientists reject the 2006 definition of planet, and thus would still consider some of the objects on this list to be planets under a geophysical definition. From up above (that is, if you will scroll up to just above this bunch/list of comments) you should see the duration of years for each planet. WebAccording to Keplers laws, Mercury must have the shortest orbital period (88 Earth-days); thus, it has the highest orbital speed, averaging 48 kilometers per second. The planets of the solar system have different orbital periods. The planet Neptune, for example, takes almost 165 years to orbit the sun. Considered a planet, though a rather odd one, from its discovery in 1930 until 2006, it wasmore. Your email address will not be published. The other reason why different planets have different orbital periods is that there exists an inversely proportional relationship between the orbital period and the orbital speed. Kepler's Three Laws Orbital Period The orbital speed is the speed needed to balance the central body's gravity and the orbiting body's inertia. Neptune Let's calculate the orbital period of Neptune (in years) from knowledge of \(G=6.67\times 10^{-11}\;\mathrm{\dfrac{m^3}{s^2\,kg}}\), the mass of the sun\(1.99\times 10^{30}\;\mathrm{kg}\), and the orbital radius of Neptune of \(30.1\;\mathrm{AU}\). In the next section, we will determine the orbital period and speed of various planets in the Solar System. By the end of this section, you will be able to: Recall that the path of an object under the influence of gravity through space is called its orbit, whether that object is a spacecraft, planet, star, or galaxy. If a new planet were discovered in our solar system with an orbital period of 165 Earth years, how far would that planet be from the Sun? WebThe orbital period (also revolution period) is the amount of time a given astronomical object takes to complete one orbit around another object. This means, in effect, that a year on Neptune lasts as long as about 165 years here on Earth. Venus: 225 days Earth: 365 days Mars: 687 days Jupiter: 4,333 days Saturn: 10,759 days Uranus: 30,687 days Neptune: 60,190 days A year on Earth is approximately 365 days. Why is that considered a year? Ricky, for more in depth factoids about space its best to have many sources of reference, then do some cross research try this site http://www.org.northern.edu>uss>docs. Neptune the orbital radius is \(0.38\;\mathrm{AU}\), What is the orbital speed of Venus if its orbital period is 225 days and, the orbital radius is \(0.7\;\mathrm{AU}\), What is the orbital speed of the Earth if its orbital period is 365 days and, the orbital radius is \(1.0\;\mathrm{AU}\), What is the orbital speed of Mars if its orbital period is 687 days and, the orbital radius is \(1.5\;\mathrm{AU}\), What is the orbital speed of Jupiter if its orbital period is 12 years and, the orbital radius is \(5.2\;\mathrm{AU}\), What is the orbital speed of Saturn if its orbital period is 29 years and, the orbital radius is \(9.54\;\mathrm{AU}\), What is the orbital speed of Uranus if its orbital period is 84 years and, the orbital radius is \(19.18\;\mathrm{AU}\), What is the orbital speed of Neptune if its orbital period is 165 years and, the orbital radius is \(30.1\;\mathrm{AU}\), Charged Particle in Uniform Electric Field, Electric Field Between Two Parallel Plates, Magnetic Field of a Current-Carrying Wire, Mechanical Energy in Simple Harmonic Motion, Galileo's Leaning Tower of Pisa Experiment, Electromagnetic Radiation and Quantum Phenomena, Centripetal Acceleration and Centripetal Force, Total Internal Reflection in Optical Fibre. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Your email address will not be published. Later it was called an, Following its discovery in 1930, Pluto was widely regarded as the ninth planet. In addition to the eight planets, there are many smaller objects in the solar system. These long timescales make it difficult for us short-lived humans to study seasonal change on the outer planets. Voyager 2s encounter with Neptune resulted in a, complete revolution is called the orbital period. 8th. Planets with larger orbital periods require lower orbital speeds. In this article we will study the concept of the orbital period and speed, so we can understand why every planet has a different amount of days in a year. Planets How Long is a Year on Neptune Fig. For example, Mercury has an orbital period of 88 Earth days, while Venus has an orbital period of 224 Earth days. We can rearrange the expression above to derive Kepler's Third Law, which states the square of the orbital period is proportional to the cube of the semi-major axis (or radius for a circular orbit). (Assume the orbit is circular. The eccentricity (e) is a number which measures In astronomy , it usually applies to planets or asteroids orbiting the Sun , moons orbiting planets, exoplanets orbiting other stars , If we know the constant speed \(v\) of a satellite in a circular orbit of the Earth and its distance \(r\) from its center, we can determine the centripetal acceleration \(a\) of the satellite, where the acceleration due to gravity acts toward the center of mass of the Earth. WebHIP 99770 b. If we look at the distances of the respective planets to the Sun, we see that Mercury is the closest planet to the Sun. One orbit for Uranus, 84 years for me! Required fields are marked *. Earth completes its orbital period around the sun every 365 days. The sum of the kinetic energy \(K\) and the gravitational potential energy \(U\) of an orbiting object is equal to the mechanical energy \(E\) and will always be constant. The position vectors are perpendicular to the velocity vectors, and the velocity vectors are perpendicular to the acceleration vectors, so the triangle has two equal angles. Orbital speed is proportional to the radius of the orbit. What is the orbital speed of Neptune if its orbital period is 165 years andthe orbital radius is \(30.1\;\mathrm{AU}\)? WebBecause the distance between Earth and the sun (1 AU) is 149,600,000 km and one Earth year is 365 days, the distance and orbital period of other planets can be calculated when only one variable is known. When the Earth-Moon system was 60 million years old, a day lasted ten hours. It is fortunate that among the rest, Mars has an eccentricity greater than that of many of the other planets. Except where otherwise noted, textbooks on this site NASA. WebThe animated series Futurama features characters from the planet of Neptune known as Neptunians, who are depicted with purple skin and four arms. However, if the satellite is launched without enough kinetic energy, it will return to the Earth and not achieve orbit. #9. planet. WebPhysics questions and answers. 165 years. WebA year is the time it takes the earth to make one revolution - a little over 365 days. The planet Neptune, for example, takes almost 165 years to orbit the sun. Orbital Lerne mit deinen Freunden und bleibe auf dem richtigen Kurs mit deinen persnlichen Lernstatistiken. In 2011 Neptune completed its first 165-year orbit since its discovery in 1846. #9. planet. NASA's Voyager 2 is the only spacecraft to have visited Neptune up close. The development of more powerful telescopes resulted in the discovery of the asteroids, which were initially considered planets. WebThis is a list of astronomical objects formerly widely considered planets under any of the various definitions of this word in the history of astronomy. Neptune Makemake: a Dwarf Planet. 165 years. and you must attribute OpenStax. Pluto is a frigid ball of ice and rock that orbits far from the Sun on the frozen fringes of our Solar System. The mass of the orbiting body \(m\) is not relevant in many scenarios. And Neptune makes a complete orbit around the Sun (a year in Neptunian time) in about 165 Earth years (60,190 Earth days). In this case, the force causing the displacement would be exerted by the satellite's thrusters. Solar System What is the orbital speed of Jupiter if its orbital period is 12 years andthe orbital radius is \(5.2\;\mathrm{AU}\)? Unsurprisingly the the length of each planets year correlates withits distance from the Sun as seen in the graph above. Well, 365 days is about how long it takes for Earth to orbit all the way around the Sun one time. WebThe animated series Futurama features characters from the planet of Neptune known as Neptunians, who are depicted with purple skin and four arms. As the definition of planet has evolved, the de facto and de jure definitions of planet have changed over the millennia. As of 2022, there are 8 official planets in the Solar System by the IAU, and many more exoplanets. Order From Sun. Kepler's Three Laws At the opposite extreme, Neptune has a period of 165 years and an average orbital speed of just 5 kilometers per second. Then Pluto, the first Trans-Neptunian Object, was discovered. Solar System Local Interstellar Cloud Local Bubble Gould Belt Orion Arm Milky Way Milky Way subgroup Local Group Local Sheet Virgo Supercluster Laniakea Supercluster KBC Void Observable universe UniverseEach arrow () may be read as "within" or "part of". WebThis is a list of astronomical objects formerly widely considered planets under any of the various definitions of this word in the history of astronomy. $$\begin{align*}W&=\triangle E,\\W&<0,\\\overset\rightharpoonup F\cdot\overset\rightharpoonup{\triangle r}&<0.\end{align*}$$. WebUranus orbits at 19 AU with a period of 84 years, while Neptune, at 30 AU, requires 165 years for each circuit of the Sun. Orbital Period Earth completes its orbital period around the sun every 365 days. One day on Neptune takes about 16 hours (the time it takes for Neptune to rotate or spin once). Since \(1\;\text{second}=3.17\times10^{-8}\;\text{years}\), we can express the orbital period in years. (Assume the orbit is circular. WebThe orbital period (also revolution period) is the amount of time a given astronomical object takes to complete one orbit around another object. As such, a year on Neptune is the longest of any planet, lasting the equivalent of 164.8 years (or 60,182 Earth days). WebAccording to Keplers laws, Mercury must have the shortest orbital period (88 Earth-days); thus, it has the highest orbital speed, averaging 48 kilometers per second. Corrections? Venus: 225 days Earth: 365 days Mars: 687 days Jupiter: 4,333 days Saturn: 10,759 days Uranus: 30,687 days Neptune: 60,190 days A year on Earth is approximately 365 days. One day on Neptune takes about 16 hours (the time it takes for Neptune to rotate or spin once). Solar System Distance From Sun. However, if the tangential velocity of the object is large enough then the object will fall towards the central body at the same rate as it curves. ", "Pluto Demoted: No Longer a Planet in Highly Controversial Definition", "The Man Who Killed Pluto: Q & A with Astronomer Mike Brown", "The effect on the Edgeworth-Kuiper Belt of a large distant tenth planet", Exoplanet orbital and physical parameters, List of interstellar and circumstellar molecules, Habitability of K-type main-sequence star systems, Exoplanetary Circumstellar Environments and Disk Explorer, https://en.wikipedia.org/w/index.php?title=List_of_former_planets&oldid=1151260940, Short description is different from Wikidata, Creative Commons Attribution-ShareAlike License 3.0, "Phosphorus", the Morning Star of Greek antiquity (, Like the Morning and Evening Stars, Mercury was deemed to be a distinct planet when it was visible during daytime, and dedicated to, In antiquity, it was believed that the Sun and all the planets orbit the Earth. A satellite in a circular orbit has a constant orbital speed. WebHIP 99770 b. Jan 23, 2023 OpenStax. Of April 22 st. N. 1686. The instantaneous speed in an elliptical orbit is given by ___. We can solve for the orbital period \(T\) by substituting the equation for the orbital speed, $$\begin{align*}v&=\frac{2\pi r}T,\\T&=\frac{2\pi r}v,\\T&=\frac{2\pi r}{\sqrt{\displaystyle\frac{GM}r}},\\T&=2\pi r\sqrt{\frac r{GM}},\\T&=\frac{2\pi r^{3/2}}{\sqrt{GM}}.\end{align*}$$. Thank you for helping me fix my work Kepler's third law provides an accurate description of the period and distance for a planet's orbits about the sun. As defined by Kepler's Second Law, an object in an elliptical orbit moves faster when it is nearer the central body and moves more slowly when farthest away from the planet. This is also known as the orbital period. Venus : 224.70 days (0.6 years) where \(G\) is the gravitational constant \(6.67\times10^{-11}\;\frac{\mathrm N\;\mathrm m^2}{\mathrm{kg}^2}\), \(M\) is the mass of the central body in kilograms \(\left(\mathrm{kg}\right)\), \(r\) is the current radial distance of the orbiting body with respect to the central body in meters \(\left(\mathrm{m}\right)\), and \(a\) is the semi-major axis of the orbit in meters \(\left(\mathrm{m}\right)\). An orbit, once determined, allows the future positions of the object to be calculated. I hope this helps you: This is due to Kepler's Third Law, which can also be derived thanks to the equation for the orbital period, as we will see in the next section. A satellite's tangential velocity is what stops it from simply returning to the Earth. Its discovery was announced in 2023. Back to list. HIP 99770 b is a gas giant exoplanet that orbits an A-type star. Let's calculate the orbital period of Saturn (in years) from knowledge of G, the mass of the sunis \(M_S=1.99\times 10^{30}\;\mathrm{kg}\), and the orbital radius of Saturn is approximately 9.539 AU. It's the speed needed to balance Earth's gravity and a satellite's inertia, in order to put the satellite in orbit, \(v=\sqrt{\frac{GM}r}\). The moons discovered around Jupiter, Saturn and Uranus after the advent of the telescope were also initially considered planets by some. As such, a year on Neptune is the longest of any planet, lasting the equivalent of 164.8 years (or 60,182 Earth days). Let's calculate the orbital period of Uranus (in years) from knowledge of \(G=6.67\times 10^{-11}\;\mathrm{\dfrac{m^3}{s^2\,kg}}\), the mass of the sun \(M_S=1.99\times 10^{30}\;\mathrm{kg}\), and the orbital radius of Uranus of\(19.18\;\mathrm{AU}\). The further away a planet is from the sun, the longer its orbital period. where \(G\) is the gravitational constant \(6.67\times10^{-11}\;\frac{\mathrm N\;\mathrm m^2}{\mathrm{kg}^2}\), \(M\) is the planet's mass in kilograms \(\mathrm{kg}\), \(m\) is the satellite's mass in kilograms \(\mathrm{kg}\), and \(r\) is the distance between the satellite and the center of the Earth in meters \(\mathrm m\). Venus: 225 days Earth: 365 days Mars: 687 days Jupiter: 4,333 days Saturn: 10,759 days Uranus: 30,687 days Neptune: 60,190 days A year on Earth is approximately 365 days. Have fun . The orbital period is the time it takes for an astronomical object to complete its orbit, \(T=\frac{2\pi r^\frac32}{\sqrt{GM}}\). Orbital speed is the speed of an astronomical object as it orbits around another object. When Nature Strikes: Wildfires - Why are they a challenge to stop? This is called retrograde rotation. The gravitational force of the Moon on the Earth has (through complex tidal interactions) been slowing the Earth's rotation. Your Age on Other Worlds Because the work done on the system is equal to the change in energy, we can infer that the work done on the system is negative. This interaction has consequently increased the Moon's distance from the Earth and therefore made its orbital period longer. First, as the altitude increases, Earths gravity decreases, so the orbital velocity needed to balance it decreases. For an elliptical orbit, the semi-major axis \(a\) is used instead of the radius for a circular orbit \(r\). Fig 2 - Triangle formed by velocity vectors and \(\triangle{\vec{v}}\) in a circular orbit. Updates? $$\begin{align*}F_g&=ma,\\\frac{GMm}{r^2}&=\frac{mv^2}r,\\\frac{GMm}r&=mv^2.\end{align*}$$. The satellite is undergoing uniform circular motion, so it orbits at a constant speed \(v\), at a distance \(r\) from the Earth's center. WebThe animated series Futurama features characters from the planet of Neptune known as Neptunians, who are depicted with purple skin and four arms. As they approach perihelion, the comets speed up and whip through the inner parts of their orbits more rapidly. What is the orbital speed of Mercury if its orbital period is 88 days and the orbital radius is \(0.38\;\mathrm{AU}\)? of the users don't pass the Orbital Period quiz! citation tool such as, Authors: Andrew Fraknoi, David Morrison, Sidney Wolff. The mass of Mars is not relevant in the calculation as its mass is insignificant compared to the Sun. Plutos orbital period: 248 years, Thanks for the informations and the facts of the orbital periods, this info is helping me alot on my science fair project, answer this how many stars are in one galaxy. Unsurprisingly the the length of each planets year correlates with its distance from the Sun as seen in the graph above. WebPhysics questions and answers. NASA Solar System Exploration WebUranus orbits at 19 AU with a period of 84 years, while Neptune, at 30 AU, requires 165 years for each circuit of the Sun. thank you! The satellite orbits at a constant speed. The semi-major axis is equal to half the diameter of the longest part of an ellipse. The precise amount of time in Earth days it takes for each planet to complete its orbit can be seen below. orbit In astronomy , it usually applies to planets or asteroids orbiting the Sun , moons orbiting planets, exoplanets orbiting other stars , How Long is a Year on Neptune What is the orbital speed of Uranus if its orbital period is 84 years andthe orbital radius is \(19.18\;\mathrm{AU}\)? At the opposite extreme, Neptune has a period of 165 years and an average orbital speed of just 5 When the Earth is farthest from the Sun it is at aphelion, at a distance of \(1.017 \text{AU}\). Sign up to highlight and take notes. Consequently, astronomers expect to be making refinements in calculating its orbital size and shape well into the 21st century. We can think of the orbital speed as the speed of an astronomical object as it orbits another celestial body. Thanks for the answers for everything, you saved my grades! orbit consent of Rice University. Its 100% free. #9. planet. Planets orbits which are nearly circular. Mercury: 87.97 days (0.2 years) Identify your study strength and weaknesses. We all learn in grade school that the planets move at differing rates around the sun. Makemake is a dwarf planet in our Solar System. Language links are at the top of the page across from the title. The further away a planet is from the sun, the longer its orbital period. For example, Mercury has an orbital period of 88 Earth days, while Venus has an The planets of the solar system have different orbital periods. We can differentiate the expression to determine the instantaneous acceleration, $$\frac{\triangle v}{\triangle t}=\frac vr\lim_{\triangle t\rightarrow0} \frac{\triangle r}{\triangle t}.$$. Naval Oceanography Portal", "When did the asteroids become minor planets? Makemake: a Dwarf Planet. Jupiter: 4,332.82 days (11.9 years) Solar System Each orbit has its own eccentricity. Year If you are redistributing all or part of this book in a print format, If we wanted to move the satellite to a lower orbit, or in other words, to a shorter distance \(r_2\) from the center of the Earth, the satellite must increase its speed and its thrusters must accelerate opposite to the direction of the displacement. This book uses the Jupiter: 4,332.82 days (11.9 years) Orbital In general, asteroids have orbits with smaller semimajor axes than do comets (Figure 3.10). Orbital Period. Year StudySmarter is commited to creating, free, high quality explainations, opening education to all. Recall our scenario from earlier, if a satellite was in a circular orbit at a distance \(r_1\) from the center of the Earth and mission control wanted to maneuver the satellite to orbit at a closer distance \(r_2\) to the Earth, how would they determine the amount of energy required to do so? By registering you get free access to our website and app (available on desktop AND mobile) which will help you to super-charge your learning process. \(M_S=1.99\times 10^{30}\; \mathrm{kg}\). Distance From Sun. As the definition of planet has evolved, the de facto and de jure definitions of planet have changed over the millennia. The place where the planet is closest to the Sun (helios in Greek) and moves the fastest is called the perihelion of its orbit, and the place where it is farthest away and moves the most slowly is the aphelion. WebA year is the time it takes the earth to make one revolution - a little over 365 days. Orbital Data Have students use the provided worksheet and formula to calculate the orbital periods and distances from the sun for Mercury and Venus. Orbital We will discuss the theory and the formulas required in the next section and derive the expressions for the orbital speed and the kinetic energy of a satellite. Astronomically, it was different from any other planets, asteroids and comets known at the time, and it was classified as unique at that time. If a new planet were discovered in our solar system with an orbital period of 165 Earth years, how far would that planet be from the Sun? In addition, there are two classes of smaller objects in heliocentric orbits: asteroids and comets. What is the orbital speed of Venus if its orbital period is 225 days andthe orbital radius is \(0.7\;\mathrm{AU}\)? The most eccentric orbit is that of Mercury (0.21); the rest have eccentricities smaller than 0.1. Orbital period is proportional to the radius of the orbit. The gravitational force \(F_g\) is the net force on the satellite which can be expressed as. a) 32.5 AU b) 25.0 AU c) 27.6 AU d) 28.9 AU e) 30.1 AU. Since we now know how to calculate orbital speed, we can easily determine the orbital period. List of former planets One of these, Eris, was widely hailed as a "new planet", which prompted the 2006 recategorization of solar system bodies. As the definition of planet has evolved, the de facto and de jure definitions of planet have changed over the millennia. Let's calculate the orbital period of Mercury (in days) from knowledge of G, the mass of the sun is. Create flashcards in notes completely automatically. Each orbit has its own eccentricity. Orbital Period. Upload unlimited documents and save them online. 2.793 billion miles. Unsurprisingly the the length of each planets year correlates with its distance from the Sun as seen in the graph above. It is important to note that we often specify orbital periods in Earth days (which have 24 hours) for consistency because the length of a day is different for each respective planet. Orbital period is proportional to the radius of the orbit. Neptune: 60,190.03 days (164.8 years), MANY THANKS FOR THE DATA MY FRIEND IT IS VERY HELPFUL. If we multiply both sides of the equation by \(1/2\), we find an expression for the kinetic energy \(K\) of the satellite: $$\begin{align*}\frac12mv^2&=\frac12\frac{GMm}r,\\K&=\frac12\frac{GMm}r.\end{align*}$$. More than 30 times as far from the Sun as Earth, Neptune is the only planet in our solar system not visible to the naked eye and the first predicted by mathematics before its discovery. The planetary orbits are also confined close to a common plane, which is near the plane of Earths orbit (called the ecliptic). In 2011 Neptune completed its first 165-year orbit since its discovery in 1846. The orbital period is the time taken for a celestial object to complete one full orbit of the central body. Orbital period | astronomy As a consequence, we can determine the gravitational potential energy \(U\) of the object using calculus, \[\begin{align}U&=-\int\overset\rightharpoonup F_{g}\cdot\overset\rightharpoonup{\,\mathrm dr},\\ &=-\left(\frac{-GMm}{r^2}\;\widehat r\right)\cdot\left(\mathrm{d} r\;\widehat r\right),\\ &=\int_r^\infty\frac{GMm}{r^2}\mathrm{d}r,\\ &=\left.GMm\;\frac{r^{-2+1}}{-1}\right|_r^\infty,\\ &=-\lim\limits_{r\to\infty}\frac{GMm}{r}- \left(-\frac{GMm}r\right),\\ &=\frac{GMm}r.\end{align}\]. The average orbital data for the planets are summarized in Table 3.2.
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planets orbital period 165 years