- #1

- 12

- 0

## Homework Statement

(i)

Combine Equations A and B to give a single equation for v and substitute this in place of v in Equation C.

(ii)

Rearrange your answer to part (i) to make r the subject of the equation.

## Homework Equations

__Equation A__

z = Δλ/λ0

__Equation B__

v = zc

For a planet such as the one orbiting Gliese, the speed v is linked to the mass of the star M and the planet’s orbital radius, by Equation C:

__Equation C__

v

^{2}= GM/r

G is Newton’s universal constant of gravitation.

## The Attempt at a Solution

(i) v = (Δλ/λ0)c -> (Δλ/λ0)c

^{2}= GM/r

(ii) this is where I'm not sure, is the above correct? I always get roots confused.

Last edited: