On the absence of the new meromorphic first integral in the planar three–body problem

The formal integrals of the regularized

The formal integrals of the regularized restricted planar problem of three bodies

✍ E. I. Timoshkova 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 329 KB 👁 2 views

## Abstract The algorithm for constructing the first integrals of motion of the regularized restricted planar problem of three bodies is proposed. The integrals are constructed as the formal power series in one from variables. It is shown that coefficients of these series are trigonometric polynomi