A new theory for celestial orbits

Since Kepler´s time (1609) we are educated to believe: “Orbits of the planets are elliptical, with the Sun at one focus of this trajectory; that the ray Planet-Sun sweeps out equal area in equal interval of time; that a period law is valid”. I claim the contrary. Clearly, it is difficult to agree with novelties, when the community is trained on wrong direction since 400 years. But, mathematics can clarify our understanding. According Newton´s laws the orbits of celestial bodies are spiraled. After presenting the mathematical foundations I argue that our educational system about Keplerian math should be corrected.