Method for generating a parameterization of satellite orbits and/or satellite clock corrections of a satellite, in which - in order to describe the satellite orbit or orbits and/or the satellite clock corrections a first progressive system of differentiable functions (first function system) is provided with a high approximation quality and a long effective range, - the satellite orbits and/or satellite clock corrections parameterized from the first function system are transmitted from a ground arithmetic logic unit to one or more satellites and then to a user device, or are transmitted to a user device from a ground arithmetic logic unit without going over the space segment, characterized in that - in order to parameterize the satellite orbits and/or the satellite clock corrections, there is additionally provided a second progressive system (second function system) of at least continuous functions with moderate approximation quality and very short effective range, which permits a conversion to the first function system, - the satellite orbits parameterized from the second function system are additionally transmitted to the user device, - the first and the second function systems comprise a sequence of functions φ i k, p ⋅; τ l l ∈ N i ∈ N with the following two properties: for all i ∈ N, the function φ i k, p ⋅; τ l l ∈ N is p-fold continuously differentiable such that it holds that: φ i k, p ⋅; τ l l ∈ N ∈ C p R, for all i ∈ N, a carrier of the function φ i k, p ⋅; τ l l ∈ N is included in a closed interval which is defined by its end points τ i,τ i + k such that it holds that: supp φ i k, p ⋅; τ l l ∈ N ⊆ τ i τ i + k, the carrier being defined for each function by supp(f): = { x ∈ R | f ( x) ≠ 0}; N signifying natural numbers including zero; R signifying real numbers; p and k signifying given natural numbers; α signifying a positive number and (τ l) l ∈ N being an infinite sequence of so-called nodes (τ l) l ∈ N which do not necessarily differ in pairwise fashion; and τ l + k -τ l > α for all l ∈ N. - in order to describe the satellite orbit or orbits and/or the satellite clock corrections a first progressive system of differentiable functions (first function system) is provided with a high approximation quality and a long effective range, - the satellite orbits and/or satellite clock corrections parameterized from the first function system are transmitted from a ground arithmetic logic unit to one or more satellites and then to a user device, or are transmitted to a user device from a ground arithmetic logic unit without going over the space segment, characterized in that - in order to parameterize the satellite orbits and/or the satellite clock corrections, there is additionally provided a second progressive system (second function system) of at least continuous functions with moderate approximation quality and very short effective range, which permits a conversion to the first function system, - the satellite orbits parameterized from the second function system are additionally transmitted to the user device, - the first and the second function systems comprise a sequence of functions φ i k, p ⋅; τ l l ∈ N i ∈ N with the following two properties: for all i ∈ N, the function φ i k, p ⋅; τ l l ∈ N is p-fold continuously differentiable such that it holds that: φ i k, p ⋅; τ l l ∈ N ∈ C p R, for all i ∈ N, a carrier of the function φ i k, p ⋅; τ l l ∈ N is included in a closed interval which is defined by its end points τ i,τ i + k such that it holds that: supp φ i k, p ⋅; τ l l ∈ N ⊆ τ i τ i + k, the carrier being defined for each function by supp(f): = { x ∈ R | f ( x) ≠ 0}; N signifying natural numbers including zero; R signifying real numbers; p and k signifying given natural numbers; α signifying a positive number and (τ l) l ∈ N being an infinite sequence of so-called nodes (τ l) l ∈ N which do not necessarily differ in pairwise fashion; and τ l + k -τ l > α for all l ∈ N. for all i ∈ N, the function φ i k, p ⋅; τ l l ∈ N is p-fold continuously differentiable such that it holds that: φ i k, p ⋅; τ l l ∈ N ∈ C p R, for all i ∈ N, a carrier of the function φ i k, p ⋅; τ l l ∈ N is included in a closed interval which is defined by its end points τ i,τ i + k such that it holds that: supp φ i k, p ⋅; τ l l ∈ N ⊆ τ i τ i + k, the carrier being defined for each function by supp(f): = { x ∈ R | f ( x) ≠ 0}; N signifying natural numbers including zero; R signifying real numbers; p and k signifying given natural numbers; α signifying a positive number and (τ l) l ∈ N being an infinite sequence of so-called nodes (τ l) l ∈ N which do not necessarily differ in pairwise fashion; and τ l + k -τ l > α for all l ∈ N. supp φ i k, p ⋅; τ l l ∈ N ⊆ τ i τ i + k, the carrier being defined for each function by supp(f): = { x ∈ R | f ( x) ≠ 0}; N signifying natural numbers including zero; R signifying real numbers; p and k signifying given natural numbers; α signifying a positive number and (τ l) l ∈ N being an infinite sequence of so-called nodes (τ l) l ∈ N which do not necessarily differ in pairwise fashion; and τ l + k -τ l > α for all l ∈ N.