Files Description

Each VSOP2013 file corresponds to a planet and contains trigonometric series, functions of time (Periodic series and Poisson series), that represent the 6 elliptic elements of the planet:

Variable 1a = semi-major axis (ua)

Variable 2

λ = mean longitude (radian)

Variable 3

k = e cos ω

Variable 4

h = e sin ω

Variable 5

q = sin(i/2) cos Ω

Variable 6

p = sin(i/2) sin Ω

with:

  • e : eccentricity

  • ω : perihelion longitude

  • i : inclination

  • Ω : ascending node longitude

VSOP2013 series are characterized by 3 parameters:

  • the planet index 1-9 from Mercury to Pluto,

  • the variable index 1-6 for a, λ, k, h, q, p,

  • the time power α.

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