PHYS 7221 - The Three-Body Problem
m1 to m2, s1 points in the same direction and sense as s3 from m2 to m3, and s2 points back from m3 to m1.Therefore, we can write s1 = ‚s3; s2 = ¡(1+‚)s3; (7) where ‚ is a positive scalar. Expressing everything in the equations of motion in terms of s3 and lambda, one obtains after some algebra (see Hestenes 1987 for details) a flfth degree polynomial in ‚ with one single …
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