3 papers
gr-qc2021
An elementary solution to Lambert's problem
Robert Easton, Rodney Anderson, Martin Lo
A fundamental problem in spacecraft mission design is to find a free flight path from one place to another with a given transfer time. This problem for paths in a central force fie…
astro-ph.EP2021
A Rapid Method For Orbital Coverage Statistics With Using Ergodic Theory
Andrew J. Graven, Alan H. Barr, Martin W. Lo
Quantifying long-term statistical properties of satellite trajectories typically entails time-consuming trajectory propagation. We present a fast, ergodic\cite{Arnold} method of an…
astro-ph.EP2020
The Long-Term Forecast of Station View Periods for Elliptical Orbits
Andrew J. Graven, Martin W. Lo
In a previous paper, using ergodic theory, Lo [1] derived a simple definite integral that provided an estimate of the view periods of ground stations to satellites. This assumes th…