Point R, with coordinates (5, -9), is located in the fourth quadrant. In this quadrant, the x-coordinates are positive, while the y-coordinates are negative. Thus, R is positioned to the right of the origin and below the x-axis.
(3,0)
The coordinates of a point two units to the right of the y-axis and three units above the x-axis would be (2,3).
To find the coordinates of point A after being dilated by a factor of 3, you multiply the original coordinates (x, y) of point A by 3. For example, if point A has coordinates (2, 4), the new coordinates after dilation would be (2 * 3, 4 * 3) or (6, 12). Thus, the coordinates of point A after dilation depend on its original position.
There are infinitely many possible correspondences between points in the coordinate plane. Some examples: Every point with coordinates (x+1, y) is one unit to the right of the point at (x, y). Every point with coordinates (x, y+1) is one unit up from the point at (x, y). Every point with coordinates (x, -y) is the reflection, in the y-axis of the point at (x, y).
The celestial coordinates of the autumnal equinox are 0 hours right ascension and 0 degrees declination. This marks the point at which the sun crosses the celestial equator, and day and night are of equal length.
A specific location in space can be identified by its coordinates, which can include its distance from a reference point and its direction relative to other objects. Astronomers often use celestial coordinates such as right ascension and declination to pinpoint the location of celestial objects in the sky.
These are coordinates that define the position of an object in the sky (on the "celestial sphere"). They are used in a similar way to how latitude and longitude are used, on the Earth's surface.
The "zero" or reference for right ascension in the sky is the meridian that joins the north and south poles of the sky and passes through the vernal equinox ... that's the point where the sun crosses the celestial equator moving north, on March 21.
Right ascension is essentially the longitude on a star chart where you may look to find something in the sky among the stars. The distance of a point east of the First Point of Aries, measured along the celestial equator and expressed in hours, minutes, and seconds.
The point on the celestial sphere located at 0 hours right ascension and 0 degrees declination is known as the vernal equinox. It marks the point where the celestial equator intersects the ecliptic and is used as the reference point for defining celestial coordinates. It also marks the beginning of spring in the Northern Hemisphere.
Celestial coordinates. -- The star's latitude on the celestial sphere is the same as the Earth latitude that it seems to follow on its way aroujnd the sky. On the celestial sphere, the latitude is called "declination", and is expressed in degrees. -- The star's longitude on the celestial sphere is its angle, measured westward, from the point in the sky called the Vernal Equinox ... the point where the sun appears to cross the celestial equator in March. On the celestial sphere, the star's longitude is called "Right Ascension", and it's expressed in hours. That certainly seems confusing, but an "hour of Right Ascension" just means 15 degrees of celestial longitude. So, as the sky turns, the point directly over your head moves through the stars by 1 hour of Right Ascension every hour.
A fixed location in space can be represented by coordinates such as latitude and longitude on Earth, or by celestial coordinates like right ascension and declination in astronomy. These values provide a specific reference point in space that can be used to locate and navigate to a particular position.
Leo is located at approximately right ascension 10 hours and declination +15 degrees in the celestial sphere. These coordinates can vary slightly depending on the specific star map or reference point used.
They are the celestial equivalent of longitude and latitude. If you are given the RSA and Dec of an object, you will be able dot find it on a chart. Or if you have a telescope that is computerised, you can input the coordinates and the telescope should go there automatically.
"Right Ascension" is a coordinate in one of the main celestial coordinate systems. It is measured eastward along the "celestial equator". The units of measurement are hours, minutes and seconds. Those units are used because the "celestial sphere" appears to rotate once each day. Each hour is the equivalent of 15 degrees. The zero or starting point for right ascension is the "Vernal Equinox". It may seem odd to refer to the Vernal Equinox as the starting point of a coordinate system. The Vernal Equinox is actually a point in space. This point in space is occupied by the Sun at the time we call the Vernal Equinox. You can think of Right Ascension as being the equivalent of the Earth's meridians projected out into space.
It half of the celestial sphere, which is an imaginary sphere with the Earth at the centre, on which all objects in the sky can have their positions described by a type of latitude (declination) and a type of longitude (right-ascension). Declination goes from -90 degrees (south) to +90 degrees (north), while right ascension goes from 0 to 24 hours. They are called geocentric coordinates, and although we know the Earth is not at the centre of anything, they are useful in describing where to look for a star or to point a telescope.