Write down the following formula:
VT = ωD
This is the basic formula for calculating transverse velocity (VT). The variable "ω" represents the proper motion or angular velocity of a star. The unit of angular velocity will be in radian per seconds. Variable "D" represents the total distance traveled by the star. The magnitude of displacement is usually given in your problem. The unit of displacement will be in meters. If the magnitude of displacement is in kilometers, then convert the unit into meters. The magnitude of proper motion will not be given in your problem.
Find the magnitude of proper motion with the help of following formula:
ω= v/r
The variable "v" represents the velocity of the star. The magnitude of velocity will always be given in your problem. The unit of velocity should be in meters per seconds. The variable "r" represents the radius of the orbit.
Solve the formula of transverse velocity as described in Step 1. Multiply the magnitude of proper motion with the magnitude of displacement. The resulting value of transverse velocity is in meters per seconds.