Applying Newton’s universal gravitational equation, we have been able to calculate the orbit and orbital precession data of the planets in the solar system more accurately, but there are deviations between these data and astronomical observations. For example, the orbital precession of Mercury has a deviation of 43" per century. LIGO has discovered gravitational waves (GWs) from the depths of the universe, confirming that GWs are real, which brings us some new ideas for studying planetary orbits. We know that the disturbance of the gravitational field(GF) will cause GWs, then the sun’s shuttle in the Milky Way will also cause disturbances to the GF of the Milky Way, thus forming GWs around the sun, although it is very weak. But because the planets in the solar system are not far from the sun, the planets will feel the influence of GWs, which will affect the orbits of the planets. This article will analyze the specific distribution of GWs around the sun, and derive the dynamic gravitational equation under the influence of GWs, and apply it to the calculation of planetary orbits, and verify the correctness of the dynamic gravitational equation by comparing it with the astronomical observation data released by NASA, and the dynamic gravitational equation shows the anisotropic nature of gravity.