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Table A.1
List of notations and definitions used in this paper.
| Constants and physical parameters | |
|---|---|
| c | Speed of light in vacuum |
| G | Gravitational constant |
| M | Mass of the central planet |
| R | Equatorial radius of the central planet |
| μ | Gravitational parameter (GM) |
| η | Value of the index of refraction at infinity |
| α(k) | kth differential of n with respect to Φ |
| α | (α(k) for k = 1; cf. Eq. (11)) |
| Observables | |
| t | Light time |
| s | Geometrical length |
| ν | Frequency of the signal |
| Unit vectors | |
 |
First member of the reference basis |
 |
Second member of the reference basis |
 |
Third member of the reference basis |
 |
First member of the propagation basis |
 |
Second member of the propagation basis |
 |
Third member of the propagation basis |
 |
First member of the polar basis |
 |
Second member of the polar basis |
 |
Third member of the polar basis |
| Fundamental vectors | |
| h | Position vector of a point along the light ray |
| s | Unit tangent vector to the light ray at h’s location |
| K | Impact parameter vector (cf. Eq. (12)) |
| v | Medium velocity vector in the reference frame |
| w | Angular velocity vector of the central planet |
 |
Coordinate velocity vector divided by c |
| Fundamental vectors’ magnitude | |
| h | Magnitude of h |
| K | Magnitude of K (cf. Eq. (13)) |
| v | Magnitude of v |
| w | Magnitude of w |
| Γ | Lorentz factor [ ] |
| Scalar fields | |
| n | Index of refraction of the medium |
| N | Refractivity of the medium (n − η) |
| n0 | Hyperbolic index of refraction (cf. Eq. (17)) |
| δn | Difference between n and n0 |
 |
Eikonal function |
| U0 | Newtonian gravitational potential (cf. Eq. (16)) |
| U | Total gravitational potential |
| Utidal | External tidal gravitational potential |
| ΦC | Centrifugal potential |
| Φ | Generalized potential (cf. Eq. (60)) |
| Angles | |
| ϕ | Angle between h and s |
| ψ | Argument of the refractive bending |
| β | Elevation angle |
| ɛ | Refractive bending |
| θ | Polar angle in the propagation basis |
| Perturbations | |
 |
Component of the perturbation along  |
 |
Component of the perturbation along  |
 |
Component of the perturbation along  |
 |
Perturbation due to δn (cf. Eq. (44)) |
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