The Earth is taken as a triaxial rigid body, which rotates freely in the Euclidian space. The starting equations are the Euler dynamic equations, with A smaller than B and B smaller than C. The Euler equations are sol...The Earth is taken as a triaxial rigid body, which rotates freely in the Euclidian space. The starting equations are the Euler dynamic equations, with A smaller than B and B smaller than C. The Euler equations are solved, and the numerical results are provided. In the calculations, the following parameters are used: (C-B)/A=0.003 273 53; (B-A)/C=0.000 021 96; (C-A)/B=0.003 295 49, and the mean angular velocity of the Earth's rotation, ω =0.000 072 921 15 rad/s. Calculations show that, besides the self-rotation of the Earth and the free Euler procession of its rotation, there exists the free nutation: the nutation angle, or the angle between the Earth's momentary rotation axis and the mean axis that periodically change with time. The free nutation is investigated.展开更多
The potential field determined based on the fictitious compress recovery approach is influenced by the errors contained in the boundary （the Earth＇s surface or the surface corresponding to the satellite altitude） v...The potential field determined based on the fictitious compress recovery approach is influenced by the errors contained in the boundary （the Earth＇s surface or the surface corresponding to the satellite altitude） values. Given the boundary value with definite accuracy, the accuracy of the field determined based on the fictitious compress recovery approach is estimated, and it is theoretically shown that the determined field has the same accuracy level as the given boundary value.展开更多
The problem of separating gravitation from inertia is discussed in very general sense,and the conclusion is positive:man can separate gravitation from inertia,if various observation techniques are applied for.The acce...The problem of separating gravitation from inertia is discussed in very general sense,and the conclusion is positive:man can separate gravitation from inertia,if various observation techniques are applied for.The accelerometer's position problem in satellite gravimetry is investigated,and the additional acceleration effect due to the position error of an instrument as well as the difference between the mass center and the gravity center is explored.展开更多
基金Funded by the National Natural Science Foundation of China (No.40574004).
文摘The Earth is taken as a triaxial rigid body, which rotates freely in the Euclidian space. The starting equations are the Euler dynamic equations, with A smaller than B and B smaller than C. The Euler equations are solved, and the numerical results are provided. In the calculations, the following parameters are used: (C-B)/A=0.003 273 53; (B-A)/C=0.000 021 96; (C-A)/B=0.003 295 49, and the mean angular velocity of the Earth's rotation, ω =0.000 072 921 15 rad/s. Calculations show that, besides the self-rotation of the Earth and the free Euler procession of its rotation, there exists the free nutation: the nutation angle, or the angle between the Earth's momentary rotation axis and the mean axis that periodically change with time. The free nutation is investigated.
基金Funded by the National Natural Science Foundation of China （No.40574004, No.40374004, No.40174004）.
文摘The potential field determined based on the fictitious compress recovery approach is influenced by the errors contained in the boundary （the Earth＇s surface or the surface corresponding to the satellite altitude） values. Given the boundary value with definite accuracy, the accuracy of the field determined based on the fictitious compress recovery approach is estimated, and it is theoretically shown that the determined field has the same accuracy level as the given boundary value.
基金Funded by the National Natural Science Foundation of China(No.40374004)the Foundation of the Key Laboratory of Geo-space Environment and Geodesy,Ministry of Education,China(No.03-04-13).
文摘The problem of separating gravitation from inertia is discussed in very general sense,and the conclusion is positive:man can separate gravitation from inertia,if various observation techniques are applied for.The accelerometer's position problem in satellite gravimetry is investigated,and the additional acceleration effect due to the position error of an instrument as well as the difference between the mass center and the gravity center is explored.
