Analytical solution of the simplified spherical harmonics equations for spherical media

2015 ◽  
Author(s):  
Ehsan Edjlali ◽  
Julien Pichette ◽  
Yves Bérube-Lauzière
Keyword(s):  
Analytical Solution ◽  
Spherical Harmonics

Analytical solution of the simplified spherical harmonics equations for spherical media

2015 ◽  
Author(s):  
Ehsan Edjlali ◽  
Julien Pichette ◽  
Yves Bérube-Lauzière
Keyword(s):  
Analytical Solution ◽  
Spherical Harmonics

Zonal and tesseral harmonic perturbations of an artificial satellite

1966 ◽  
Vol 25 ◽  
pp. 323-325 ◽  
Author(s):  
B. Garfinkel
Keyword(s):  
Angular Velocity ◽  
Spherical Harmonics ◽  
Artificial Satellite ◽  
Compact Form ◽  
Earth’S Rotation ◽  
Earth's Rotation ◽  
Secular Variations ◽  
Tesseral Harmonics

The paper extends the known solution of the Main Problem to include the effects of the higher spherical harmonics of the geopotential. The von Zeipel method is used to calculate the secular variations of orderJmand the long-periodic variations of ordersJm/J2andnJm,λ/ω. HereJmandJm,λare the coefficients of the zonal and the tesseral harmonics respectively, withJm,0=Jm, andωis the angular velocity of the Earth's rotation. With the aid of the theory of spherical harmonics the results are expressed in a most compact form.

Nearly spherical vesicle shapes calculated by use of spherical harmonics : axisymmetric and nonaxisymmetric shapes and their stability

1992 ◽  
Vol 2 (5) ◽  
pp. 1081-1108 ◽  
Author(s):  
V. Heinrich ◽  
M. Brumen ◽  
R. Heinrich ◽  
S. Svetina ◽  
B. Žekš
Keyword(s):  
Spherical Harmonics ◽  
Spherical Vesicle ◽  
Vesicle Shapes
Sign in / Sign up

Export Citation Format

Share Document