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Distance travelled in a year = speed in km/sec X seconds

= 9,467,280,000,000 km = 1 Light Year

1 AU = 149,598,500 km

9,467,280,000,000 km

___________________ = 63,284.6 AU's in a LY

149,598,500 km

Now let's measure the gravitational force between the two systems:

F = Gm1m2

_________=

r^2

G is the gravitational constant, M1 is the mass of the Sun, M2 is the mass of the Sirius system ~ 3x the mass of our Sun.

F = (6.6726x10^-11)(1.989×10^30kg)(5.963x10^30kg)

___________________________________________________=

8.142x10^13km

= 1.194x10^23 Newtons

By comparison, the Sun/Earth force is 3.54x10^22 newtons

My hypothesis was that the force between the Sun and Sirius would be insignificant given the vast expanse between them. Is there something the matter with my maths?