A star located 135 degrees from the solar apex on the celestial sphere

AI Thread Summary
The discussion revolves around a star located 135 degrees from the solar apex, with a radial velocity of 20 km/s relative to the sun and a distance of 15 parsecs. The main inquiry is about the relationship between radial velocity and angular separation from the solar apex, particularly how to calculate the star's radial velocity, its apparent movement in seconds of arc over ten years, and its direction of movement. Participants suggest that additional coordinates are needed to fully address the questions, as the provided angular separation alone is insufficient for complete analysis. The conversation highlights the importance of understanding standard solar motion in relation to the Local Standard of Rest (LSR). Overall, the thread seeks clarity on the mathematical relationships involved in stellar motion relative to the solar apex.
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I posted this in the homework help section but got no responses so I thought I'd try posting it here.

I want the answer to the question, but really I'm looking for the relationship between the values.

Q: A star located 135 degrees from the solar apex on the celestial sphere is at rest in the LSR 15pc from the sun, whose radial velocity with respect to the sun may be taken to be 20km/s. As seen from the sun, (a) what is the star's radial velocity; (b) how many seconds of arc will this star appear to move on the celestial sphere in ten years; (c) in what direction will it move

So really what I'm asking here is what the relationship between radial velocity and angular separation from the solar apex is and how to apply that to parts b and c.

Thanks for any assistance.
 
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You probably know the standard solar motion with respect to the LSR (I am sure this value can be found in internet). Then you should find out the difference between both vectors. I am sorry but I am not familiar with this kind of exercises, however, it seams to me that 135 degrees from the solar apex is not a complete description of the stars coordinates which allows answering these questions.
 
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