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A star has a parallax of .19 arc seconds. The stars has a proper motion of 7.2 arc seconds per years and a radial velocity of +260 km/s. How do you find the Tangential Velocity and the total velocity of the star?

Answer 1

Leah Angelini

#v_t=180km# #s^(-1)#

#v~~316km# #s^(-1)#

#v_t# is given by the formula: #v_t=(4.75mu)/p#, where:

#v_t=(4.75*7.2)/0.19=180km# #s^(-1)#

#v=sqrt(v_t""^2+v_r""^2)#

#color(white)(v)=sqrt(180^2+260^2)#

#color(white)(v)~~316km# #s^(-1)#

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Answer 2

Everett Abrams

Total velocity = √(Radial velocity² + Tangential velocity²) = Proper motion × Distance. Tangential velocity =

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.