The effect of rotation on the shape (figure) and gravitational quadrupole of astronomical bodies is calculated by using an approximate point core model: A point mass at the center of an ellipsoidal homogeneous fluid. ...The effect of rotation on the shape (figure) and gravitational quadrupole of astronomical bodies is calculated by using an approximate point core model: A point mass at the center of an ellipsoidal homogeneous fluid. Maclaurin’s analytical result for homogenous bodies generalizes to this model and leads to very accurate analytical results connecting the three observables: oblateness (ò), gravitational quadrupole (J2), and angular velocity parameter (q). The analytical results are compared to observational data for the planets and a good agreement is found. Oscillations near equilibrium are studied within the model.展开更多
Based on the basic theory of electrodynamics about electromagnetic radiation,the general formulae of radiation power and damping torque of electric-quadrupole moment for a steadily and uniformly charged rigid body wit...Based on the basic theory of electrodynamics about electromagnetic radiation,the general formulae of radiation power and damping torque of electric-quadrupole moment for a steadily and uniformly charged rigid body with any periodic rotation are derived.The concise form of the formulae in some special symmetric cases are deduced and discussed,and the results of several common symmetric charged bodies are listed.展开更多
文摘The effect of rotation on the shape (figure) and gravitational quadrupole of astronomical bodies is calculated by using an approximate point core model: A point mass at the center of an ellipsoidal homogeneous fluid. Maclaurin’s analytical result for homogenous bodies generalizes to this model and leads to very accurate analytical results connecting the three observables: oblateness (ò), gravitational quadrupole (J2), and angular velocity parameter (q). The analytical results are compared to observational data for the planets and a good agreement is found. Oscillations near equilibrium are studied within the model.
基金Supported by the National Natural Science Foundation of China(12074295)
文摘Based on the basic theory of electrodynamics about electromagnetic radiation,the general formulae of radiation power and damping torque of electric-quadrupole moment for a steadily and uniformly charged rigid body with any periodic rotation are derived.The concise form of the formulae in some special symmetric cases are deduced and discussed,and the results of several common symmetric charged bodies are listed.