Swing equation of a shaft-shaped synchronous satellite is based on Lagrange s equation,and the formula of the swinging period is gained that the satellite s swing plan and orbit plane form random angle,whose result is more universal.

The conservation tensor and orbital equation of the isotropic three-dimensional harmonic oscillator;

Based on the Schwarzs Child Gauge, the moving orbital equation of the planets round the sun is derived, from directly finding the solution of the three geodefic equations relevant to r, φ and t.

In this paper,we give the orbital equations of a classical particle in coulomb poten tial and isotropic oscillate potential and their screened potentials are given.

The equation can be used to get the orbit equation easily.

The motion of charged particle acted upon by Lorentz force and other external force are analyzed,calculating formulae of orbit equation and curvature radius are derived.

The author establishes the molecular helix plane equation in leptospira model in order to figure out dihedral angle to instead of torsion angle of X-ray diffraction structure test, and explains the common applying circumstances of dihedral angle.

By plane equation,the proposition that the indices of lattice planes must have no common factor is proved.

The paper lists five types of solutions to some particular plane equations,expounding the impertant function of solutions to problems in teaching.