29 citations · 273 across the 27 of their papers we have counts for
19 papers · 1 filter
On mean elements in artificial satellite theory
Martin Lara
The merits of a perturbation theory based on a mean to osculating transformation that is pure periodic in the fast angle are investigated. The exact separation of the purely short-…
A torsion-based solution to the hyperbolic regime of the J2-problem
Martin Lara, Alessandro Masat, Camilla Colombo
A popular intermediary in the theory of artificial satellites is obtained after the elimination of parallactic terms from the J2-problem Hamiltonian. The resulting quasi-Keplerian…
Note on the analytical integration of circumterrestrial orbits
Martin Lara
The acclaimed merits of analytical solutions based on a fictitious time developed in the 1970's were partially overvalued due to a common misuse of classical analytical solutions b…
A new radial, natural, higher order intermediary of the main problem four decades after the elimination of the parallax
Martin Lara
Simplifications in dealing with the equation of the center when the short-period effects are removed from a zonal Hamiltonian are commonly attributed to the elimination of parallac…
Design of distant retrograde orbits based on a higher order analytical solution
Martin Lara
Because the distant retrograde orbits dynamics inherently depends on special functions, approximate analytical solutions in the literature are commonly constrained to providing rou…
Brouwer's satellite solution redux
Martin Lara
Brouwer's solution to the artificial satellite problem is revisited to show that the complete Hamiltonian reduction is rather achieved in the plain Poincaré's style, through a sing…