**Category:**

Research Papers

**Sub-Category:**

Astrophysics

**Date Published:**

August 23, 2013

**Keywords:**

Planetary motion, new three laws, accurate gravitational formula, improved Titius-Bode law, distance-velocity relation

**Abstract:**

According to improved Newton’s gravitational formula, variable
dimension fractal method and steepest descent method, this paper presents the
new three laws of planetary motion: (1) Accurate gravitational formula between Sun
and planet, and accurate gravitational formula between Sun and photon for
problem of light bending around Sun; (2) Two kinds of improved Titius-Bode laws;
(3) Relation between planetary average moving speed and its average distance to
Sun with variable dimension fractal form. By using the second and third laws to
predict the un-found planet outside the Neptune (formerly known as the tenth
planet), its average distance to Sun equals 59.54 AU, and its average moving speed
equals 3.85km/s.

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