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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 | |
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First member of the reference basis |
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Second member of the reference basis |
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Third member of the reference basis |
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First member of the propagation basis |
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Second member of the propagation basis |
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Third member of the propagation basis |
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First member of the polar basis |
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Second member of the polar basis |
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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 |
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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 |
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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 | |
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Component of the perturbation along ![]() |
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Component of the perturbation along ![]() |
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Component of the perturbation along ![]() |
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Perturbation due to δn (cf. Eq. (44)) |
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