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PHYS 7221 - The Three-Body Problem

PHYS 7221 - The Three-Body Problem

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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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