When Mars is lined up along our line of sight toward Proxima Centauri, it's about
0.00018 percent closer to it than we are.
And when it's on the other side of the sun, on the extended line of sight from Proxima Centauri
through the Earth, it's about 0.00093 percent farther from it than we are.
Any measurement of the position or motion of Proxima Centauri, or any other star
outside the solar system, that's made from Mars, or any other solar system planet,
is indistinguishable from the same measurement made from Earth.
HOWEVER .... because Mars has a bigger "baseline" than the Earth (due to a wider
orbit), the parallax angle would be correspondingly larger.
Quite often they use parsecs, rather than light-years. In any case, it's fairly easy to visualize (for example) that Alpha Centauri is at a distance of 4.3 light-years - that means that light takes 4.3 years to travel that distance. On the other hand, giving the distance in meters, or in kilometers, results in very large numbers, that are a bit hard to visualize.
Positions in the sky are measured by angles. The simplest is the altitude, the angle above the horizon, and the azimuth, the direction measured running eastwards from north. There are other systems but always two coordinates are needed to specify a direction. Star positions are measured with a transit-circle, which always faces exactly south, and the stars are timed as they cross the meridian. The altitude gives the star's declination in degrees and the time gives the right-ascension in hours and minutes after a standard direction known as the First Point of Aries has passed.
The angle is a right angle.
Let's call the two angles angle 1 and angle 2. We are given that angle 1 and angle 4 form a linear angle and that angle 2 and angle 4 form a linear angle. Because linear angles measure 180 degrees, we arrive at: m<1 + m<4 = 180 m<2 + m<4 = 180. By subtracting the second equation from the first, we get: m<1 - m<2 = 0. And finally: m<1 = m<2. Thus, angle 1 is congruent to angle 2.
Yes
Nearby stars have a larger parallax angle.
The parallax angle of such distant objects is way too small to be measured. In general, the farther away an object, the smaller is its parallax angle.
On the contrary, if the parallax angle is too small, it can't be measured accurately.
You can conclude that it is farther than a certain distance. How much this distance is depends, of course, on how accurately the parallax angle can be measured.
A million light-years is about 300,000 parsecs; that would mean a parallax of 1/300,000 arc-seconds. Such a small angle can't be measured yet.A million light-years is about 300,000 parsecs; that would mean a parallax of 1/300,000 arc-seconds. Such a small angle can't be measured yet.A million light-years is about 300,000 parsecs; that would mean a parallax of 1/300,000 arc-seconds. Such a small angle can't be measured yet.A million light-years is about 300,000 parsecs; that would mean a parallax of 1/300,000 arc-seconds. Such a small angle can't be measured yet.
Parallax is a displacement or difference in the apparent position of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines.
.2 arc sec
The closer the star, the greater the parallax angle, which is why you can't measure the distance to very distant stars using the parallax method.
Parallax would be easier to measure if the Earth were farther from the sun. This way, there will be a wider angle to the stars using the parallax method.
Parallax is an apparent displacement or difference of orientation of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines. The term is derived from the Greek παράλλαξις (parallaxis), meaning "alteration". Nearby objects have a larger parallax than more distant objects when observed from different positions, so parallax can be used to determine distances.See Link for more information.
Sirius will have a greater angle, because it is closer to us.
In astronomy, the difference in direction of a celestial object as seen by an observer from two widely separated points. The measurement of parallax is used directly to find the distance of the body from Earth (geocentric parallax) and from the Sun (heliocentric parallax). The two positions of the observer and the position of the object form a triangle; if the base line between the two observing points is known and the direction of the object as seen from each has been measured, the apex angle (the parallax) and the distance of the object from the observer can be ... (100 of 3053 words)