I just watched the first 10 minutes of a documentary that seemed to touch on Walter Crutenberg's premise of our Sun being a binary twin of Sirius. Sirius A and B are separated by (at most) ~31 AU (1 AU = distance from Earth to Sun, 149,598,500 km). The Sirius system is 8.6 ly from Earth. 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?