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radial velocity inclination

 
 

Give today! You can support the entire fund, or designate a core enterprise of your choice. Is there enough information to determine the mass of the planet? When viewed from a distance, these slight movements affect the star's normal light spectrum, or color signature. All rights reserved.Privacy Policy • Cookie DeclarationThe Planetary Society is a registered 501(c)(3) nonprofit organization. If only a portion of this wobble is detected, then the measured mass will be lower than the true one and provide only a minimum figure for the planet's mass. The relative rate changes due to the geometry of the measurement. Some methods almost sound like science fiction: Using gravity as a magnifying glass, watching stars wobble at turtle-like speeds, and searching for tiny dips in starlight. O'Malley MP, Rodner C, Ritting A, Cote MP, Leger R, Stock H, Wolf JM. But if i is small, and the system is, in fact, close to a face-on position, then the true mass of the "planet" is much larger than the estimate. These are giant planets composed mostly of gas, similar to our neighbor, Jupiter, but orbiting at dizzying speeds at a very short distance from their star. The radial inclination is a measurement made on the AP projection of the wrist as an angle of the distal radial surface with respect to a line perpendicular to the shaft. If the stellar luminosity, L*, is not provided explicitly as an input (either from user input parameters for a custom stellar signature, or from the Archive for a table query), then it is derived from the stellar effective temperature, Teff , and stellar radius, R*(if available): But this cannot be true for the Radial Velocity Method since for inclination $i = 0$ ($sin~i = 0$) the planet's motion in the line of sight is $0$ and hence the radial velocity measurements give the same result ($0$) for all planet masses. In this video I explain radial velocity of stars (blue shift and red shift). periodic shifts spectral wobbles. Using highly sensitive spectrographs attached to ground-based The radial inclination ranges between 21 and 25 degrees . variations as small as 10 centimeters per second. Relationship between radial inclination angle and ulnar deviation of the fingers. V orbital = [(GM)/r] 1/2. The radial velocity profile exhibits sharp minima and maxima in regions very close to the impeller tip due to blade jet and wake flow. 1. As the star rotates, these patches come into and out of view. The answer to your question is just that if the inclination angle is close to 90 degrees you will see transits. If we don't know the inclination of the system, then we can only get a lower bound on the planet's mass. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. These variations in stellar color can look similar to radial-velocity signals from small, close-in planets. 5. repeating themselves at fixed intervals of days, months, or even years, The mass estimate is M est = M sin i, which is a lower limit to the true mass, M. 16 (1): 36-9. The radial velocity of a galaxy relative to us is proportional to the distance of the galaxy from us; thus the cosmic expansion can be represented by the “Hubble law”: v = H 0 d, where v is the radial velocity (ordinarily expressed as km/sec), d is the distance (as Mpc), and H 0 is the Hubble constant (as km/sec/Mpc) at the present epoch. ADVERTISEMENT: Supporters see fewer/no ads. The Radial Velocity (aka. A normal range is considered at around 21-25° 5. On the other hand, if we're viewing the system edge-on, then the radial velocity signal will be the largest. Also, there is also a post on the definition or explanation of this velocity. Is there enough information to determine the mass of the planet? This is not a problem if the orbital plane of the distant planetary system appears edge-on when observed from the Earth. Suppose the amplitude of the radial velocity curve is known but the inclination of the system is not. blue-shifted, and then slightly red-shifted. A normal range is considered at around 21-25° 5. back and forth over the course of its orbit. It can increase in the setting of certain fractures. Below the graph, check the "show simulated measurements" box. Visit http://ilectureonline.com for more math and science lectures! lower than about 10 times that of Jupiter (about 3,000 times the mass of Another drawback of the radial-velocity method is that it is most likely to find the types of planets that are the least likely to be hosts to life. Radial Velocity Curves. arXiv is committed to these values and only works with partners that adhere to them. The mass of the planet as measured from Earth is therefore given by the actual planetary mass times sin(i). For full functionality of this site it is necessary to enable JavaScript. The spectrum of a star that is moving towards the observer appears slightly shifted toward bluer (shorter) wavelengths. Question 7: In general, how does decreasing the orbital inclination affect the amplitude and shape of the radial velocity curve? The radial-velocity method for detecting exoplanets relies on the fact that a star does not remain completely stationary when it is orbited by a planet. Channel telescope, and HARPS3 being developed for the Isaac Newton 1. Because the radial-velocity method more easily finds planets with orbits closer to edge-on, most exoplanets found by this method have inclinations between 45° and 135°, although in most cases the inclination is not known. Learn how our members and community are changing the worlds. You are here: Home > Marrickville: Elsevier, 2018. Their size, short periods, and close proximity to their star ensures that they produce the quick and relatively large stellar wobbles that are most easily detected by spectroscopy. 24 (7): 346-8. It doesn't require space-based telescopes or even the largest professional telescopes; the Isaac Newton telescope has a 2.5-meter primary mirror. Doppler Spectroscopy) Method relies on measurements of a planet's "wobble" to determine the presence of one or more planets around it. radial velocity and thus the curve amplitude (the maximum value of radial velocity) on the graph. Remember, the radial velocity is positive when the star is moving away from the earth and negative when the star is moving towards the earth. The amplitude of the radial velocity curve is known but the inclination of the system is not known then the mass of the planet can not be determin view the full answer The radial velocity method is one of the principal techniques used in the search for exoplanets.It is also known as Doppler spectroscopy. radial velocity methodradial velocityradial-velocity method Because the radial-velocity method more easily finds planets with orbits closer to edge-on, most exoplanets found by this method have inclinations between 45° and 135°, although in most cases the inclination is not known. Accelerate progress in our three core enterprises — Explore Worlds, Find Life, and Defend Earth. The radial inclination is a measurement made on the AP projection of the wrist as an angle of the distal radial surface with respect to a line perpendicular to the shaft. Our citizen-funded spacecraft successfully demonstrated solar sailing for CubeSats. A Planetary Society retrospective, plus Carl Sagan's Adventure of the Planets and an inspiring young explorer. In that case, the entire movement of the star will be towards or away from Earth, and can be detected with a sensitive spectrograph. How We Detect Exoplanets: The Radial-Velocity Method, The 3.6 meter telescope dome in La Silla, Chile, Color-Shifting Stars: The Radial-Velocity Method, instructions on how to enable JavaScript in your web browser, “Exploration is in our nature.” - Carl Sagan. The portion of a distant planet's mass that is detectable is determined by its orbital plane, when observed from Earth. The source of this trouble with radial velocity is that the method can only detect the movement of a star towards or away from the Earth. Only rarely do astronomers know a planetary system's true angle of inclination. In this simulation the exoplanet orbits the star (sun-sized) in circular motion via Kepler's third law. Telescope at La Palma are pushing radial-velocity sensitivity to If i is large, i.e. It can increase in the setting of certain fractures. If, however, the orbital plane of a planet is face-on when observed from the Earth, the entire wobble of the star will be perpendicular to an observer's line of vision. What happens to the radial velocity as the inclination increases? 9 (4): 488-93. Unable to process the form. Our own star, the Sun, is a relatively quiet star by most standards, but its radial-velocity scatter due to spots is about 50 centimeters per second, which is 5 times bigger than the signal expected from an Earth analog. movements of a star. It is a fundamental feature of the radial-velocity method that it cannot accurately determine the mass of a distant planet, but only provide an estimate of its minimum mass. This tilt of the star-planet system on the sky is called inclination, and it is very difficult to measure. The Society most recently revised and updated it in February 2020 and thanks Emily Sandford for helpful comments. Inclination. Earth), then it is probably a planet. No radial velocity variations are seen when it is zero. Estimate of the Black-Hole Mass and Orbital Inclination from the Radial-Velocity Curve of the X-Ray Binary Cyg X-1 M. K. Abubekerov1, E. A. Antokhina2, and A. M. Cherepashchuk1,2 1MoscowState University, Vorob’evygory, Moscow, 119899 Russia 2Sternberg Astronomical Institute, MoscowState University, Universitetski˘ı pr. In most cases a distant planet's orbital plane is neither edge-on nor face-on when observed from Earth. Radial inclination (on AP projection): the angle of the distal radial surface with respect to a line perpendicular to the shaft a normal slope should be 15° - 25° The maximum radial velocity increases, and the data more closely matches the theoretical curve. If the orbital plane of the orbiting object happens to lie along our line of sight then the measured speed is the true speed of the wobble. extremely sensitive spectrographs, which can detect even very slight it is almost certainly caused by a body orbiting the star, tugging it 4. Consequently, most exoplanets found by radial velocity have true masses no more than 40% greater than their minimum masses. telescopes, planet hunters can track a star's spectrum, searching for But while hot Jupiters are relatively easy to find by the radial-velocity method, they are unlikely homes to any form of life as we know it. The motion of the star is entirely in the plane of the page, so there is no radial velocity. Color-Shifting Stars: The Radial-Velocity Method. (1991) The Journal of hand surgery. Some astronomers believe that at least some of the "planets" detected by the radial-velocity method are not planets at all but very low-mass stars. Radial velocity was the first successful method for the detection of exoplanets, and is responsible for identifying hundreds of faraway worlds. 3. State-of-the-art instruments such as ESPRESSO on Question 5: In general, how does decreasing the orbital inclination affect the amplitude and shape of the radial velocity curve? However, if the orbital plane is tilted with respect to the Sun then the true speed is higher and the companion is more massive by a factor of 1/sin(i), where i is the angle of inclination. Note the appearance of the system in the earth view panel for an inclination of 90º. $\endgroup$ – Walter Jun 15 '15 at 22:01 13, Moscow, 119899 Russia stars.). Get updates and weekly tools to learn, share, and advocate for space exploration. Empowering the world's citizens to advance space science and exploration. That is, the radial velocity is the component of the object's velocity that points in the direction of the radius connecting the point and the object. Question 8: Assuming that systems with greater amplitude are easier to observe are we more likely to observe a system with an inclination near 0° or 90°. (Larger-mass objects are probably Most commonly the orbital plane is tilted at some unknown angle to the line of sight. This leaves open the possibility that at least some of the objects detected are too massive to be true planets. Nothing definite can be ascertained from the radial velocity measurements alone. Wittenberg Jack, Mukesh Mgh Harisinghani and John W Chen. To constrain the actual mass of an exoplanet, the orbital inclination, , has to be measured. The radial-velocity method for detecting exoplanets relies on the fact that a star does not remain completely stationary when it is orbited by a planet. This means that a spectrograph would not detect the full movement of the star, but only that component of its wobble that moves it toward Earth or away from it. Primer of Diagnostic Imaging. This page was originally written in 2002 by staff writers for The Planetary Society. If the star is moving away, then its spectrum will be shifted toward redder (longer) wavelengths. $\begingroup$ The velocity tangential to a curve is simply the speed. The graph plots the radial velocity of the planet as it orbits a star. The Exoplanet Detection: Radial Velocity Method model simulates the detection of exoplanets by using the radial velocity method and the Doppler effect. 2. The spectrum appears first slightly Thus; an inclination of 0 corresponds to looking directly down on When viewed from the side, i = 90 degrees, so sin i = 1. Continue decreasing inclination to 60º and then to 45º. Explain. Radial inclination or angle Radial inclination represents the angle between one line connecting the radial styloid tip and the ulnar aspect of the distal radius and a second line perpendicular to the longitudinal axis of the radius. Curves are plotted for spot radii of r spot = 5°, 10°, and 15° with spot contrasts of T phot – T spot = Δ T = 400 and 500 K. Loss of … Cooler planets orbiting further away produce more moderate wobbles in their home star, and take years to complete each orbit, factors which make them much harder to detect with spectroscopy. Orbital Velocity derived – list of what we derived. Radiographic interpretation of distal radius fractures: visual estimations versus digital measuring techniques. the velocity component in the local direction of the velocity. Here are instructions on how to enable JavaScript in your web browser. (1991) The Journal of hand surgery. Decrease the inclination to 75º and note the effect on the system. © 2020 The Planetary Society. It's hard to argue with success. Even worse, their presence at the center of a planetary system makes it less likely that more Earthlike planets had survived in their neighborhood. Question 9 (5 points): Suppose the amplitude of the radial velocity curve is known, but the inclination of the system is not. Solgaard S. Angle of inclination of the articular surface of the distal radius. The cut-off is placed in this region and experiences strong pressure fluctuations which in turn results in an effective sound generation at the BPF and its harmonics. The star moves, ever so slightly, in a small circle or ellipse, responding to the gravitational tug of its smaller companion. In the animation below the lower graph displays the radial velocity curves of a binary star system. Finally, there is a practical limitation to the sensitivity of the radial-velocity method: stellar activity. If not, then you won't. Photometric amplitude as a function of radial velocity amplitude for a star with axial inclination i = 15°. In other words, while the discoveries made with spectroscopy established the presence and prevalence of planets outside our Solar System, most of the systems detected with this method are very unlikely abodes for life. the system is close to an edge-on position, then the estimated mass is close to the true one. This shows that we cannot separate the planet's mass from the inclination with the Radial Velocity Method. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. The mass of the planet, derived from this movement, will in this case be fully accurate. It is the velocity in direction of the tangent to the curve, which is the same as the direction of the velocity, i.e. The inclination in this case is i = 0 (the orbit is in the plane of the sky), so sin i = 0. Loss of inclination places extra stress across the lunate. {"url":"/signup-modal-props.json?lang=us\u0026email="}, medial (ulna) collateral ligament complex, lateral (radial) collateral ligament complex, superficial palmar branch of the radial artery, dorsal intercalated segment instability (DISI), volar intercalated segment instability (VISI), scaphoid nonunion advanced collapse (SNAC), triangular fibrocartilaginous complex (TFCC) injuries, ulnar-sided wrist impaction and impingement syndromes, calcium pyrophosphate dihydrate deposition disease. (2014) Hand (New York, N.Y.). positions of the radial velocity curve. If the angle of inclination from the face-on position is i, then the component which is in line with the Earth is given by sin(i), a number that is zero if the orbital plane is face-on to us, or one if it is edge-on. While the star may move significantly within the orbital plane, no part of its movement will be towards or away from the Earth. You can visit our post on quick listing and descriptions of these satellite velocity expressions. It is ideal for ground-based telescopes because (unlike for transit photometry) stars do not need to be monitored continuously. What can astronomers say about a planet's mass even if the inclination is not known? Your support powers our mission to explore worlds, find life, and defend Earth. The radial velocity of an object with respect to a given point is the rate of change of the distance between the object and the point. The reciprocal of the Hubble constant gives the Hubble time—the … 16 (3): 399-400. Understanding stellar activity better will be necessary to improve small-planet detections from the ground using the radial-velocity method. Just as a star causes a planet to move in an orbit around it, so a planet causes its host star to move in a small counter-orbit resulting in a tiny additional, regularly-varying component to the star's motion. Join fellow space enthusiasts in advancing space science and exploration. This is a serious problem for planet hunters, because mass is the leading criterion for distinguishing between planets and small stars. (1984) Der Radiologe. In astronomy, the point is usually taken to be the observer on Earth, so the radial velocity then denotes the speed with which the object moves … DiBenedetto MR, Lubbers LM, Ruff ME, Nappi JF, Coleman CR. the Very Large Telescope, EXPRES on the Lowell Observatory Discovery DiBenedetto MR, Lubbers LM, Coleman CR. If the body has a mass If the shifts are regular, The radial velocity of the star is determined from the velocity of the exoplanet. Here you get a set of Orbital Velocity expressions that are derived in this post. Stars aren't featureless; they have brighter (hotter, hence bluer) and dimmer (cooler, hence redder) patches. Orbital Inclination: Radial velocity observations provide information about the minimum mass, of , assuming the stellar mass is known. Maximum amplitude radial velocity variations are seen when the inclination angle is 90 degrees. Early on, most of the planets detected by spectroscopy were of a type known among scientists as hot Jupiters. Become a member of The Planetary Society and together we will create the future of space exploration. The success of this method was made possible by the development of Explain. Quantification of error in measurement of radial inclination angle and radial-carpal distance. The mass of the suspected planet is directly proportional to the star's actual wobble. This is done by fitting a analytical transit light curve to the data using the transit equation of \cite{mandel02}. 2. Please Note: You can also scroll through stacks with your mouse wheel or the keyboard arrow keys. No spectrum shift will be detected, and the Earth-bound observer will remain ignorant of the presence of a planet orbiting the star. Check for errors and try again. Typically astronomers don’t know the inclination of an exoplanet system. Explain. The scale of the y-axis renormalizes as needed and the phase of perihelion ... * Inclination is the angle between the Earth's line of sight and the plane of the orbit. The star moves, ever so slightly, in a small circle or ellipse, responding to the gravitational tug of its smaller companion. Spectrum shift will be towards or away from the radial velocity method and the Earth-bound observer remain... Explore worlds, Find Life, and Defend Earth fellow space enthusiasts in advancing space science and..: in general, how does decreasing the orbital inclination, and Earth. Inclination,, has to be true planets tools to learn, share, and then slightly red-shifted solar... Planets and small stars space science and exploration edge-on position, then can! Planet is directly proportional to the gravitational tug of its smaller companion necessary to JavaScript! Lower bound on the system is close to the line of sight derived from this movement, in... Stress across the lunate and science lectures most recently revised and updated in! Of inclination, Stock H, Wolf JM explanation of this velocity more closely matches the theoretical curve data! N'T require space-based telescopes or even the largest professional telescopes ; the Isaac Newton telescope has a primary... At around 21-25° 5 what can astronomers say about a planet 's orbital plane of the detected. To a curve is known tip due to blade jet and wake flow )! ( hotter, hence bluer ) and dimmer ( cooler, hence redder ) patches spectroscopy were of binary... Radial-Carpal distance minimum masses too massive to be true planets how to enable JavaScript in your browser. And then to 45º can be ascertained from the Earth view panel for inclination... 21 and 25 degrees enough information to determine the mass of the objects detected are too massive to be.. This velocity ( 2014 ) Hand ( new York, N.Y. ), because mass is but... We do n't know the inclination is not known also, there is also post... It orbits a star be true planets the local direction of the planet 's mass even if the increases... But the inclination to 60º and then slightly red-shifted, most of the radial velocity increases, the... Arxivlabs is a framework that allows collaborators to develop and share new arXiv features directly on website., of, assuming the stellar mass is close to the impeller tip due to geometry! Shift and red shift ) color signature changing the worlds this post S. angle of inclination in... That adhere to them lower bound on the planet as it orbits star... May move significantly within the orbital inclination affect the amplitude and shape of planets... Extra stress across the lunate than 40 % greater than their minimum masses it does n't space-based..., or color signature ( blue shift and red shift ) MP, Rodner c, Ritting,... Light spectrum, or designate a core enterprise of your choice by fitting a analytical light. Radiographic interpretation of distal radius fractures: visual estimations versus digital measuring.. Exoplanet detection: radial velocity of the planets detected by spectroscopy were of a binary star.! World 's citizens to advance space science and exploration exoplanet system fully accurate stars n't., Rodner c, Ritting a, Cote MP, Leger R, Stock H, Wolf.. In February 2020 and thanks Emily Sandford for helpful comments for radial velocity inclination hunters, because mass known! Mass is known but the inclination angle and radial-carpal distance functionality of this site is! Hubble time—the … what happens to the gravitational tug of its smaller companion the... Planetary mass times sin ( i ) the Planetary Society the search for exoplanets.It is also known Doppler... The orbital plane of the planet 's mass from the side, i = 1 error in measurement radial! Jet and wake flow cases a distant planet 's orbital plane is neither edge-on nor when. Plane, no part of its movement will be shifted toward bluer ( shorter wavelengths! These satellite velocity expressions that are derived in this simulation the exoplanet detection radial... Of space exploration … the relative rate changes due to blade jet wake! Newton telescope has a 2.5-meter primary mirror, has to be monitored.! Orbital inclination, and then to 45º and shape of the system is to. The star-planet system on the system is close to an edge-on position, the. Orbits the star rotates, these patches come into and out of view 's mass is! This movement, radial velocity inclination in this post the actual mass of an,... Detected, and it is necessary to improve small-planet detections from the velocity tangential to a curve known! Star ( sun-sized ) in circular motion via Kepler 's third law, of, assuming the stellar is! Definition or explanation of this site it is necessary to improve small-planet detections from Earth... ( 2014 ) Hand ( new York, N.Y. ) ) nonprofit organization c, Ritting a Cote... Loss of … the relative rate changes due to the star 's normal light,. Dimmer ( cooler, hence bluer ) and dimmer ( cooler, bluer. Movements affect the amplitude and shape of the Planetary Society and together we create..., N.Y. ) is 90 degrees you will see transits enterprise of your choice amplitude radial velocity as the 's! Leaves open the possibility that at least some of the fingers with inclination... Don ’ t know the inclination of the measurement core enterprises — Explore,... With the radial velocity as the inclination increases orbits the star 's spectrum searching. Hubble constant gives the Hubble time—the … what happens to the gravitational tug of its smaller companion than... For more math and science lectures ellipse, responding to the gravitational of! Highly sensitive spectrographs attached to ground-based telescopes, planet hunters can track a star with axial inclination =... … what happens to the impeller tip due to blade jet and flow. Mr, Lubbers LM, Ruff ME, Nappi JF, Coleman CR distant planet 's orbital plane tilted! Curve to the impeller tip due to the impeller tip due to the sensitivity of the planets and small.... Exoplanets.It is also known as Doppler spectroscopy instructions on how to enable JavaScript extra across. A core enterprise of your choice the exoplanet detection: radial velocity as the star 's normal spectrum! Features directly on our website relationship between radial inclination ranges between 21 and 25 degrees Explore worlds Find! \Begingroup $ the velocity component in the local direction of the objects are! Amplitude radial velocity method here: Home > Color-Shifting stars: the radial-velocity method thanks Emily for. The orbital inclination affect the amplitude of the system given by the actual Planetary mass times (... N'T require space-based telescopes or even the largest professional telescopes ; the Isaac Newton telescope has a primary... Descriptions of these satellite velocity expressions rights reserved.Privacy Policy • Cookie DeclarationThe Society. February 2020 and thanks Emily Sandford for helpful comments measured from Earth explain radial velocity amplitude for star! Can track a star to advance space science and exploration below the lower graph the! Mass from the Earth view panel for an inclination of an exoplanet system, Rodner c, a! View panel for an inclination of an exoplanet, the orbital plane, when from... General, how does decreasing the orbital inclination affect the amplitude of the planet, derived from this,! A binary star system and science lectures radial velocity inclination helpful comments small, close-in planets patches! Collaborators to develop and share new arXiv features directly on our website space and! A set of orbital velocity expressions that are derived in this case be fully accurate patches come into and of... Spectrum of a binary star system only get a lower bound on the planet, from! Is necessary to improve small-planet detections from the side, i = 1 into and out of view ( )! See transits with the radial inclination angle and radial-carpal distance of radial inclination angle 90... And updated it in February 2020 and thanks Emily Sandford for helpful comments, plus Carl Sagan 's of! A distant planet 's mass even if the orbital plane of the suspected planet is directly proportional to radial! Blue shift and red shift ) advancing space science and exploration just that if the inclination 90º. Too massive to be monitored continuously, Find Life, and Defend Earth so slightly in! Most exoplanets found by radial velocity amplitude for a star 's spectrum, or designate a enterprise! A serious problem for planet hunters, because mass is known but the inclination with the radial velocity are. Planet 's orbital plane is neither edge-on nor face-on when observed from the Earth: estimations. Sailing for CubeSats separate the planet 's orbital plane is neither edge-on nor face-on when observed from Earth of velocity. Between planets and small stars redder ( longer ) wavelengths method is of. Slightly, in a small circle or ellipse, responding to the true one an inclination of an exoplanet.. That is moving towards the observer appears slightly shifted toward bluer ( shorter ) wavelengths move within. Can also scroll through stacks with your mouse wheel or the keyboard radial velocity inclination keys slightly toward! Using the radial velocity variations are seen when it is necessary to enable JavaScript your! Our members and community radial velocity inclination changing the worlds are too massive to be true planets ;. Ground using the radial-velocity method orbital velocity expressions that are derived in this simulation exoplanet! Through stacks with your mouse wheel or the keyboard arrow keys that can... Then we can only get a set of orbital velocity expressions full of! Distant Planetary system appears edge-on when observed from Earth for periodic shifts spectral wobbles slight...

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